1,1,40,52,1.226309,"\text{Not used}","int((a*x^3 + b*x^6)^(5/3),x)","-\frac{{\left(b\,x^3+a\right)}^2\,{\left(b\,x^6+a\,x^3\right)}^{2/3}\,\left(3\,a-8\,b\,x^3\right)}{88\,b^2\,x^2}","Not used",1,"-((a + b*x^3)^2*(a*x^3 + b*x^6)^(2/3)*(3*a - 8*b*x^3))/(88*b^2*x^2)","B"
2,1,29,25,1.151880,"\text{Not used}","int((a*x^3 + b*x^6)^(2/3),x)","\frac{\left(\frac{a}{5\,b}+\frac{x^3}{5}\right)\,{\left(b\,x^6+a\,x^3\right)}^{2/3}}{x^2}","Not used",1,"((a/(5*b) + x^3/5)*(a*x^3 + b*x^6)^(2/3))/x^2","B"
3,1,21,23,1.150682,"\text{Not used}","int(1/(a*x^3 + b*x^6)^(2/3),x)","-\frac{{\left(b\,x^6+a\,x^3\right)}^{1/3}}{a\,x^2}","Not used",1,"-(a*x^3 + b*x^6)^(1/3)/(a*x^2)","B"
4,1,51,77,1.282185,"\text{Not used}","int(1/(a*x^3 + b*x^6)^(5/3),x)","\frac{{\left(b\,x^6+a\,x^3\right)}^{1/3}\,\left(-a^2+6\,a\,b\,x^3+9\,b^2\,x^6\right)}{4\,a^3\,x^5\,\left(b\,x^3+a\right)}","Not used",1,"((a*x^3 + b*x^6)^(1/3)*(9*b^2*x^6 - a^2 + 6*a*b*x^3))/(4*a^3*x^5*(a + b*x^3))","B"
5,1,51,48,0.094711,"\text{Not used}","int(-1/(x^3 - x^6),x)","\frac{\ln\left(x-1\right)}{3}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{1}{2\,x^2}","Not used",1,"log(x - 1)/3 + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 - 1/6) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 + 1/6) + 1/(2*x^2)","B"
6,1,59,79,1.258747,"\text{Not used}","int(x^5*((a + b*x^3)^2)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}\,\left(8\,b^2\,\left(a^2+b^2\,x^6\right)-12\,a^2\,b^2+4\,a\,b^3\,x^3\right)}{72\,b^4}","Not used",1,"((a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)*(8*b^2*(a^2 + b^2*x^6) - 12*a^2*b^2 + 4*a*b^3*x^3))/(72*b^4)","B"
7,0,-1,79,0.000000,"\text{Not used}","int(x^4*((a + b*x^3)^2)^(1/2),x)","\int x^4\,\sqrt{{\left(b\,x^3+a\right)}^2} \,d x","Not used",1,"int(x^4*((a + b*x^3)^2)^(1/2), x)","F"
8,0,-1,79,0.000000,"\text{Not used}","int(x^3*((a + b*x^3)^2)^(1/2),x)","\int x^3\,\sqrt{{\left(b\,x^3+a\right)}^2} \,d x","Not used",1,"int(x^3*((a + b*x^3)^2)^(1/2), x)","F"
9,1,33,36,1.228507,"\text{Not used}","int(x^2*((a + b*x^3)^2)^(1/2),x)","\left(\frac{a}{6\,b}+\frac{x^3}{6}\right)\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}","Not used",1,"(a/(6*b) + x^3/6)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)","B"
10,0,-1,79,0.000000,"\text{Not used}","int(x*((a + b*x^3)^2)^(1/2),x)","\int x\,\sqrt{{\left(b\,x^3+a\right)}^2} \,d x","Not used",1,"int(x*((a + b*x^3)^2)^(1/2), x)","F"
11,0,-1,74,0.000000,"\text{Not used}","int(((a + b*x^3)^2)^(1/2),x)","\int \sqrt{{\left(b\,x^3+a\right)}^2} \,d x","Not used",1,"int(((a + b*x^3)^2)^(1/2), x)","F"
12,1,109,75,1.376852,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x,x)","\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3}-\frac{\ln\left(a\,b+\frac{a^2}{x^3}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^3}\right)\,\sqrt{a^2}}{3}+\frac{a\,b\,\ln\left(a\,b+\sqrt{{\left(b\,x^3+a\right)}^2}\,\sqrt{b^2}+b^2\,x^3\right)}{3\,\sqrt{b^2}}","Not used",1,"(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)/3 - (log(a*b + a^2/x^3 + ((a^2)^(1/2)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/x^3)*(a^2)^(1/2))/3 + (a*b*log(a*b + ((a + b*x^3)^2)^(1/2)*(b^2)^(1/2) + b^2*x^3))/(3*(b^2)^(1/2))","B"
13,0,-1,77,0.000000,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^2,x)","\int \frac{\sqrt{{\left(b\,x^3+a\right)}^2}}{x^2} \,d x","Not used",1,"int(((a + b*x^3)^2)^(1/2)/x^2, x)","F"
14,0,-1,74,0.000000,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^3,x)","\int \frac{\sqrt{{\left(b\,x^3+a\right)}^2}}{x^3} \,d x","Not used",1,"int(((a + b*x^3)^2)^(1/2)/x^3, x)","F"
15,1,112,75,1.384055,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^4,x)","\frac{\ln\left(a\,b+\sqrt{{\left(b\,x^3+a\right)}^2}\,\sqrt{b^2}+b^2\,x^3\right)\,\sqrt{b^2}}{3}-\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^3}-\frac{a\,b\,\ln\left(a\,b+\frac{a^2}{x^3}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^3}\right)}{3\,\sqrt{a^2}}","Not used",1,"(log(a*b + ((a + b*x^3)^2)^(1/2)*(b^2)^(1/2) + b^2*x^3)*(b^2)^(1/2))/3 - (a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)/(3*x^3) - (a*b*log(a*b + a^2/x^3 + ((a^2)^(1/2)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/x^3))/(3*(a^2)^(1/2))","B"
16,1,33,77,1.208179,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^5,x)","-\frac{\left(4\,b\,x^3+a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{4\,x^4\,\left(b\,x^3+a\right)}","Not used",1,"-((a + 4*b*x^3)*((a + b*x^3)^2)^(1/2))/(4*x^4*(a + b*x^3))","B"
17,1,35,79,1.175670,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^6,x)","-\frac{\left(5\,b\,x^3+2\,a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{10\,x^5\,\left(b\,x^3+a\right)}","Not used",1,"-((2*a + 5*b*x^3)*((a + b*x^3)^2)^(1/2))/(10*x^5*(a + b*x^3))","B"
18,1,33,79,1.183565,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^7,x)","-\frac{\left(2\,b\,x^3+a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{6\,x^6\,\left(b\,x^3+a\right)}","Not used",1,"-((a + 2*b*x^3)*((a + b*x^3)^2)^(1/2))/(6*x^6*(a + b*x^3))","B"
19,1,35,79,1.267235,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^8,x)","-\frac{\left(7\,b\,x^3+4\,a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{28\,x^7\,\left(b\,x^3+a\right)}","Not used",1,"-((4*a + 7*b*x^3)*((a + b*x^3)^2)^(1/2))/(28*x^7*(a + b*x^3))","B"
20,1,35,79,1.164292,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^9,x)","-\frac{\left(8\,b\,x^3+5\,a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{40\,x^8\,\left(b\,x^3+a\right)}","Not used",1,"-((5*a + 8*b*x^3)*((a + b*x^3)^2)^(1/2))/(40*x^8*(a + b*x^3))","B"
21,1,35,79,1.150943,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^10,x)","-\frac{\left(3\,b\,x^3+2\,a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{18\,x^9\,\left(b\,x^3+a\right)}","Not used",1,"-((2*a + 3*b*x^3)*((a + b*x^3)^2)^(1/2))/(18*x^9*(a + b*x^3))","B"
22,1,35,79,1.161603,"\text{Not used}","int(((a + b*x^3)^2)^(1/2)/x^11,x)","-\frac{\left(10\,b\,x^3+7\,a\right)\,\sqrt{{\left(b\,x^3+a\right)}^2}}{70\,x^{10}\,\left(b\,x^3+a\right)}","Not used",1,"-((7*a + 10*b*x^3)*((a + b*x^3)^2)^(1/2))/(70*x^10*(a + b*x^3))","B"
23,0,-1,167,0.000000,"\text{Not used}","int(x^9*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^9\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^9*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
24,0,-1,119,0.000000,"\text{Not used}","int(x^8*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^8\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^8*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
25,0,-1,167,0.000000,"\text{Not used}","int(x^7*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^7\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^7*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
26,0,-1,167,0.000000,"\text{Not used}","int(x^6*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^6\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^6*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
27,1,46,78,1.248982,"\text{Not used}","int(x^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}\,\left(-a^2+3\,a\,b\,x^3+4\,b^2\,x^6\right)}{60\,b^2}","Not used",1,"((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)*(4*b^2*x^6 - a^2 + 3*a*b*x^3))/(60*b^2)","B"
28,0,-1,167,0.000000,"\text{Not used}","int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^4\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
29,0,-1,167,0.000000,"\text{Not used}","int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x^3\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
30,1,36,36,1.219583,"\text{Not used}","int(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\frac{\left(b^2\,x^3+a\,b\right)\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{12\,b^2}","Not used",1,"((a*b + b^2*x^3)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2))/(12*b^2)","B"
31,0,-1,167,0.000000,"\text{Not used}","int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int x\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
32,0,-1,162,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int {\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
33,0,-1,160,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x, x)","F"
34,0,-1,165,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^2,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^2, x)","F"
35,0,-1,163,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^3,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^3, x)","F"
36,0,-1,161,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^4,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^4, x)","F"
37,0,-1,165,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^5,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^5, x)","F"
38,0,-1,163,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^6,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^6, x)","F"
39,0,-1,162,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^7,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^7, x)","F"
40,0,-1,165,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^8,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^8} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^8, x)","F"
41,0,-1,162,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^9,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^9} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^9, x)","F"
42,0,-1,161,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^10,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}}{x^{10}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^10, x)","F"
43,1,151,165,1.213928,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^11,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{10\,x^{10}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x\,\left(b\,x^3+a\right)}-\frac{3\,a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^4\,\left(b\,x^3+a\right)}-\frac{3\,a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(10*x^10*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(x*(a + b*x^3)) - (3*a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^4*(a + b*x^3)) - (3*a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3))","B"
44,1,151,167,1.224401,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^12,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{11\,x^{11}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{2\,x^2\,\left(b\,x^3+a\right)}-\frac{3\,a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{5\,x^5\,\left(b\,x^3+a\right)}-\frac{3\,a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{8\,x^8\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(11*x^11*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(2*x^2*(a + b*x^3)) - (3*a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(5*x^5*(a + b*x^3)) - (3*a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(8*x^8*(a + b*x^3))","B"
45,1,151,41,1.207547,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^13,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{12\,x^{12}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^3\,\left(b\,x^3+a\right)}-\frac{a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{2\,x^6\,\left(b\,x^3+a\right)}-\frac{a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^9\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(12*x^12*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^3*(a + b*x^3)) - (a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(2*x^6*(a + b*x^3)) - (a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^9*(a + b*x^3))","B"
46,1,151,167,1.191113,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^14,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{13\,x^{13}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^4\,\left(b\,x^3+a\right)}-\frac{3\,a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}-\frac{3\,a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{10\,x^{10}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(13*x^13*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^4*(a + b*x^3)) - (3*a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3)) - (3*a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(10*x^10*(a + b*x^3))","B"
47,1,151,167,1.206753,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^15,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{14\,x^{14}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{5\,x^5\,\left(b\,x^3+a\right)}-\frac{3\,a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{8\,x^8\,\left(b\,x^3+a\right)}-\frac{3\,a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{11\,x^{11}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(14*x^14*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(5*x^5*(a + b*x^3)) - (3*a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(8*x^8*(a + b*x^3)) - (3*a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(11*x^11*(a + b*x^3))","B"
48,1,151,84,1.209092,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^16,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{15\,x^{15}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,x^6\,\left(b\,x^3+a\right)}-\frac{a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^9\,\left(b\,x^3+a\right)}-\frac{a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^{12}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(15*x^15*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(6*x^6*(a + b*x^3)) - (a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^9*(a + b*x^3)) - (a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^12*(a + b*x^3))","B"
49,1,151,167,1.215086,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)/x^17,x)","-\frac{a^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{16\,x^{16}\,\left(b\,x^3+a\right)}-\frac{b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}-\frac{3\,a\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{10\,x^{10}\,\left(b\,x^3+a\right)}-\frac{3\,a^2\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{13\,x^{13}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(16*x^16*(a + b*x^3)) - (b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3)) - (3*a*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(10*x^10*(a + b*x^3)) - (3*a^2*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(13*x^13*(a + b*x^3))","B"
50,0,-1,255,0.000000,"\text{Not used}","int(x^13*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^{13}\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^13*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
51,0,-1,255,0.000000,"\text{Not used}","int(x^12*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^{12}\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^12*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
52,0,-1,160,0.000000,"\text{Not used}","int(x^11*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^{11}\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^11*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
53,0,-1,255,0.000000,"\text{Not used}","int(x^10*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^{10}\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^10*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
54,0,-1,255,0.000000,"\text{Not used}","int(x^9*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^9\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^9*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
55,0,-1,119,0.000000,"\text{Not used}","int(x^8*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^8\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^8*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
56,0,-1,255,0.000000,"\text{Not used}","int(x^7*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^7\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^7*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
57,0,-1,255,0.000000,"\text{Not used}","int(x^6*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^6\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^6*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
58,0,-1,78,0.000000,"\text{Not used}","int(x^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^5\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
59,0,-1,255,0.000000,"\text{Not used}","int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^4\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
60,0,-1,252,0.000000,"\text{Not used}","int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x^3\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
61,1,36,36,1.243652,"\text{Not used}","int(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\frac{\left(b^2\,x^3+a\,b\right)\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{18\,b^2}","Not used",1,"((a*b + b^2*x^3)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2))/(18*b^2)","B"
62,0,-1,252,0.000000,"\text{Not used}","int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int x\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
63,0,-1,247,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int {\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
64,0,-1,251,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x, x)","F"
65,0,-1,251,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^2,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^2, x)","F"
66,0,-1,251,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^3,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^3, x)","F"
67,0,-1,252,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^4,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^4, x)","F"
68,0,-1,249,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^5,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^5} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^5, x)","F"
69,0,-1,251,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^6,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^6} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^6, x)","F"
70,0,-1,252,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^7,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^7} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^7, x)","F"
71,0,-1,248,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^8,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^8} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^8, x)","F"
72,0,-1,247,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^9,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^9} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^9, x)","F"
73,0,-1,252,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^10,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{10}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^10, x)","F"
74,0,-1,253,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^11,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{11}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^11, x)","F"
75,0,-1,247,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^12,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{12}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^12, x)","F"
76,0,-1,252,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^13,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{13}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^13, x)","F"
77,0,-1,253,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^14,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{14}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^14, x)","F"
78,0,-1,248,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^15,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{15}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^15, x)","F"
79,0,-1,251,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^16,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}}{x^{16}} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^16, x)","F"
80,1,231,251,1.260495,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^17,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{16\,x^{16}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^4\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{13\,x^{13}\,\left(b\,x^3+a\right)}-\frac{10\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}-\frac{a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^{10}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(16*x^16*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(x*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^4*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(13*x^13*(a + b*x^3)) - (10*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3)) - (a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(x^10*(a + b*x^3))","B"
81,1,231,253,1.323076,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^18,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{17\,x^{17}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{2\,x^2\,\left(b\,x^3+a\right)}-\frac{a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^5\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{14\,x^{14}\,\left(b\,x^3+a\right)}-\frac{5\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^8\,\left(b\,x^3+a\right)}-\frac{10\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{11\,x^{11}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(17*x^17*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(2*x^2*(a + b*x^3)) - (a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(x^5*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(14*x^14*(a + b*x^3)) - (5*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^8*(a + b*x^3)) - (10*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(11*x^11*(a + b*x^3))","B"
82,1,231,41,1.221931,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^19,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{18\,x^{18}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^3\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,x^6\,\left(b\,x^3+a\right)}-\frac{a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^{15}\,\left(b\,x^3+a\right)}-\frac{10\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{9\,x^9\,\left(b\,x^3+a\right)}-\frac{5\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,x^{12}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(18*x^18*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^3*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(6*x^6*(a + b*x^3)) - (a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^15*(a + b*x^3)) - (10*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(9*x^9*(a + b*x^3)) - (5*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(6*x^12*(a + b*x^3))","B"
83,1,231,253,1.305118,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^20,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{19\,x^{19}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^4\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{16\,x^{16}\,\left(b\,x^3+a\right)}-\frac{a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^{10}\,\left(b\,x^3+a\right)}-\frac{10\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{13\,x^{13}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(19*x^19*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^4*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(16*x^16*(a + b*x^3)) - (a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(x^10*(a + b*x^3)) - (10*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(13*x^13*(a + b*x^3))","B"
84,1,231,255,1.241415,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^21,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{20\,x^{20}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{5\,x^5\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{8\,x^8\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{17\,x^{17}\,\left(b\,x^3+a\right)}-\frac{10\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{11\,x^{11}\,\left(b\,x^3+a\right)}-\frac{5\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^{14}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(20*x^20*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(5*x^5*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(8*x^8*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(17*x^17*(a + b*x^3)) - (10*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(11*x^11*(a + b*x^3)) - (5*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^14*(a + b*x^3))","B"
85,1,231,84,1.216930,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^22,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{21\,x^{21}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,x^6\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{9\,x^9\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{18\,x^{18}\,\left(b\,x^3+a\right)}-\frac{5\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,x^{12}\,\left(b\,x^3+a\right)}-\frac{2\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^{15}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(21*x^21*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(6*x^6*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(9*x^9*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(18*x^18*(a + b*x^3)) - (5*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(6*x^12*(a + b*x^3)) - (2*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^15*(a + b*x^3))","B"
86,1,231,255,1.220409,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^23,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{22\,x^{22}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^7\,\left(b\,x^3+a\right)}-\frac{a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{2\,x^{10}\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{19\,x^{19}\,\left(b\,x^3+a\right)}-\frac{10\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{13\,x^{13}\,\left(b\,x^3+a\right)}-\frac{5\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{8\,x^{16}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(22*x^22*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^7*(a + b*x^3)) - (a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(2*x^10*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(19*x^19*(a + b*x^3)) - (10*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(13*x^13*(a + b*x^3)) - (5*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(8*x^16*(a + b*x^3))","B"
87,1,231,255,1.229597,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^24,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{23\,x^{23}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{8\,x^8\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{11\,x^{11}\,\left(b\,x^3+a\right)}-\frac{a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{4\,x^{20}\,\left(b\,x^3+a\right)}-\frac{5\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{7\,x^{14}\,\left(b\,x^3+a\right)}-\frac{10\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{17\,x^{17}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(23*x^23*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(8*x^8*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(11*x^11*(a + b*x^3)) - (a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(4*x^20*(a + b*x^3)) - (5*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(7*x^14*(a + b*x^3)) - (10*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(17*x^17*(a + b*x^3))","B"
88,1,231,128,1.222375,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)/x^25,x)","-\frac{a^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{24\,x^{24}\,\left(b\,x^3+a\right)}-\frac{b^5\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{9\,x^9\,\left(b\,x^3+a\right)}-\frac{5\,a\,b^4\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{12\,x^{12}\,\left(b\,x^3+a\right)}-\frac{5\,a^4\,b\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{21\,x^{21}\,\left(b\,x^3+a\right)}-\frac{2\,a^2\,b^3\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,x^{15}\,\left(b\,x^3+a\right)}-\frac{5\,a^3\,b^2\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{9\,x^{18}\,\left(b\,x^3+a\right)}","Not used",1,"- (a^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(24*x^24*(a + b*x^3)) - (b^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(9*x^9*(a + b*x^3)) - (5*a*b^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(12*x^12*(a + b*x^3)) - (5*a^4*b*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(21*x^21*(a + b*x^3)) - (2*a^2*b^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(3*x^15*(a + b*x^3)) - (5*a^3*b^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(9*x^18*(a + b*x^3))","B"
89,0,-1,240,0.000000,"\text{Not used}","int(x^4/((a + b*x^3)^2)^(1/2),x)","\int \frac{x^4}{\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(x^4/((a + b*x^3)^2)^(1/2), x)","F"
90,0,-1,235,0.000000,"\text{Not used}","int(x^3/((a + b*x^3)^2)^(1/2),x)","\int \frac{x^3}{\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(x^3/((a + b*x^3)^2)^(1/2), x)","F"
91,1,33,44,1.391653,"\text{Not used}","int(x^2/((a + b*x^3)^2)^(1/2),x)","\frac{\ln\left(b^2\,x^3+a\,b\right)\,\mathrm{sign}\left(2\,b^2\,x^3+2\,a\,b\right)}{3\,\sqrt{b^2}}","Not used",1,"(log(a*b + b^2*x^3)*sign(2*a*b + 2*b^2*x^3))/(3*(b^2)^(1/2))","B"
92,0,-1,202,0.000000,"\text{Not used}","int(x/((a + b*x^3)^2)^(1/2),x)","\int \frac{x}{\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(x/((a + b*x^3)^2)^(1/2), x)","F"
93,0,-1,202,0.000000,"\text{Not used}","int(1/((a + b*x^3)^2)^(1/2),x)","\int \frac{1}{\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(1/((a + b*x^3)^2)^(1/2), x)","F"
94,1,48,80,1.386768,"\text{Not used}","int(1/(x*((a + b*x^3)^2)^(1/2)),x)","-\frac{\ln\left(a\,b+\frac{a^2}{x^3}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{x^3}\right)}{3\,\sqrt{a^2}}","Not used",1,"-log(a*b + a^2/x^3 + ((a^2)^(1/2)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/x^3)/(3*(a^2)^(1/2))","B"
95,0,-1,238,0.000000,"\text{Not used}","int(1/(x^2*((a + b*x^3)^2)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(1/(x^2*((a + b*x^3)^2)^(1/2)), x)","F"
96,0,-1,243,0.000000,"\text{Not used}","int(1/(x^3*((a + b*x^3)^2)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{{\left(b\,x^3+a\right)}^2}} \,d x","Not used",1,"int(1/(x^3*((a + b*x^3)^2)^(1/2)), x)","F"
97,1,75,125,1.398913,"\text{Not used}","int(1/(x^4*((a + b*x^3)^2)^(1/2)),x)","\frac{a\,b\,\mathrm{atanh}\left(\frac{a^2+b\,a\,x^3}{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}\right)}{3\,{\left(a^2\right)}^{3/2}}-\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{3\,a^2\,x^3}","Not used",1,"(a*b*atanh((a^2 + a*b*x^3)/((a^2)^(1/2)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))))/(3*(a^2)^(3/2)) - (a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)/(3*a^2*x^3)","B"
98,0,-1,280,0.000000,"\text{Not used}","int(x^4/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int \frac{x^4}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
99,0,-1,276,0.000000,"\text{Not used}","int(x^3/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int \frac{x^3}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
100,1,34,38,1.192971,"\text{Not used}","int(x^2/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{6\,b\,{\left(b\,x^3+a\right)}^3}","Not used",1,"-(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)/(6*b*(a + b*x^3)^3)","B"
101,0,-1,277,0.000000,"\text{Not used}","int(x/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int \frac{x}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(x/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
102,0,-1,286,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int \frac{1}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
103,0,-1,147,0.000000,"\text{Not used}","int(1/(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)),x)","\int \frac{1}{x\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)), x)","F"
104,0,-1,316,0.000000,"\text{Not used}","int(1/(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)),x)","\int \frac{1}{x^2\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)), x)","F"
105,0,-1,316,0.000000,"\text{Not used}","int(1/(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)),x)","\int \frac{1}{x^3\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)), x)","F"
106,0,-1,188,0.000000,"\text{Not used}","int(1/(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)),x)","\int \frac{1}{x^4\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2)), x)","F"
107,0,-1,359,0.000000,"\text{Not used}","int(x^6/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{x^6}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(x^6/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
108,1,42,78,1.284012,"\text{Not used}","int(x^5/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","-\frac{\left(4\,b\,x^3+a\right)\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{36\,b^2\,{\left(b\,x^3+a\right)}^5}","Not used",1,"-((a + 4*b*x^3)*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2))/(36*b^2*(a + b*x^3)^5)","B"
109,0,-1,368,0.000000,"\text{Not used}","int(x^4/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{x^4}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(x^4/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
110,0,-1,360,0.000000,"\text{Not used}","int(x^3/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{x^3}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
111,1,34,38,1.258943,"\text{Not used}","int(x^2/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}}{12\,b\,{\left(b\,x^3+a\right)}^5}","Not used",1,"-(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2)/(12*b*(a + b*x^3)^5)","B"
112,0,-1,359,0.000000,"\text{Not used}","int(x/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{x}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(x/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
113,0,-1,364,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{1}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
114,0,-1,223,0.000000,"\text{Not used}","int(1/(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)),x)","\int \frac{1}{x\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)), x)","F"
115,0,-1,398,0.000000,"\text{Not used}","int(1/(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)),x)","\int \frac{1}{x^2\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)), x)","F"
116,0,-1,398,0.000000,"\text{Not used}","int(1/(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)),x)","\int \frac{1}{x^3\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)), x)","F"
117,0,-1,269,0.000000,"\text{Not used}","int(1/(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)),x)","\int \frac{1}{x^4\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2)), x)","F"
118,0,-1,313,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int {\left(d\,x\right)}^m\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2} \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
119,0,-1,205,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int {\left(d\,x\right)}^m\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2} \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
120,0,-1,97,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6} \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2), x)","F"
121,0,-1,73,0.000000,"\text{Not used}","int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a^2+2\,a\,b\,x^3+b^2\,x^6}} \,d x","Not used",1,"int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(1/2), x)","F"
122,0,-1,73,0.000000,"\text{Not used}","int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2),x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(3/2), x)","F"
123,0,-1,73,0.000000,"\text{Not used}","int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2),x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^{5/2}} \,d x","Not used",1,"int((d*x)^m/(a^2 + b^2*x^6 + 2*a*b*x^3)^(5/2), x)","F"
124,0,-1,77,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\int {\left(d\,x\right)}^m\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^6 + 2*a*b*x^3)^p, x)","F"
125,1,207,172,1.310118,"\text{Not used}","int(x^11*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p\,\left(\frac{x^{12}\,\left(4\,p^3+12\,p^2+11\,p+3\right)}{6\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}-\frac{a^4}{2\,b^4\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}+\frac{a^3\,p\,x^3}{b^3\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}+\frac{a\,p\,x^9\,\left(2\,p^2+3\,p+1\right)}{3\,b\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}-\frac{a^2\,p\,x^6\,\left(2\,p+1\right)}{2\,b^2\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}\right)","Not used",1,"(a^2 + b^2*x^6 + 2*a*b*x^3)^p*((x^12*(11*p + 12*p^2 + 4*p^3 + 3))/(6*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6)) - a^4/(2*b^4*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6)) + (a^3*p*x^3)/(b^3*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6)) + (a*p*x^9*(3*p + 2*p^2 + 1))/(3*b*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6)) - (a^2*p*x^6*(2*p + 1))/(2*b^2*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6)))","B"
126,1,137,130,1.218709,"\text{Not used}","int(x^8*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p\,\left(\frac{x^9\,\left(\frac{2\,p^2}{3}+p+\frac{1}{3}\right)}{4\,p^3+12\,p^2+11\,p+3}+\frac{a^3}{3\,b^3\,\left(4\,p^3+12\,p^2+11\,p+3\right)}-\frac{2\,a^2\,p\,x^3}{3\,b^2\,\left(4\,p^3+12\,p^2+11\,p+3\right)}+\frac{a\,p\,x^6\,\left(2\,p+1\right)}{3\,b\,\left(4\,p^3+12\,p^2+11\,p+3\right)}\right)","Not used",1,"(a^2 + b^2*x^6 + 2*a*b*x^3)^p*((x^9*(p + (2*p^2)/3 + 1/3))/(11*p + 12*p^2 + 4*p^3 + 3) + a^3/(3*b^3*(11*p + 12*p^2 + 4*p^3 + 3)) - (2*a^2*p*x^3)/(3*b^2*(11*p + 12*p^2 + 4*p^3 + 3)) + (a*p*x^6*(2*p + 1))/(3*b*(11*p + 12*p^2 + 4*p^3 + 3)))","B"
127,1,85,84,1.192608,"\text{Not used}","int(x^5*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p\,\left(\frac{x^6\,\left(2\,p+1\right)}{6\,\left(2\,p^2+3\,p+1\right)}-\frac{a^2}{6\,b^2\,\left(2\,p^2+3\,p+1\right)}+\frac{a\,p\,x^3}{3\,b\,\left(2\,p^2+3\,p+1\right)}\right)","Not used",1,"(a^2 + b^2*x^6 + 2*a*b*x^3)^p*((x^6*(2*p + 1))/(6*(3*p + 2*p^2 + 1)) - a^2/(6*b^2*(3*p + 2*p^2 + 1)) + (a*p*x^3)/(3*b*(3*p + 2*p^2 + 1)))","B"
128,0,-1,60,0.000000,"\text{Not used}","int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\int x^4\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p \,d x","Not used",1,"int(x^4*(a^2 + b^2*x^6 + 2*a*b*x^3)^p, x)","F"
129,0,-1,60,0.000000,"\text{Not used}","int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\int x^3\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p \,d x","Not used",1,"int(x^3*(a^2 + b^2*x^6 + 2*a*b*x^3)^p, x)","F"
130,1,46,41,1.155091,"\text{Not used}","int(x^2*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\left(\frac{x^3}{3\,\left(2\,p+1\right)}+\frac{a}{3\,b\,\left(2\,p+1\right)}\right)\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p","Not used",1,"(x^3/(3*(2*p + 1)) + a/(3*b*(2*p + 1)))*(a^2 + b^2*x^6 + 2*a*b*x^3)^p","B"
131,0,-1,58,0.000000,"\text{Not used}","int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\int x\,{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p \,d x","Not used",1,"int(x*(a^2 + b^2*x^6 + 2*a*b*x^3)^p, x)","F"
132,0,-1,53,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p,x)","\int {\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p, x)","F"
133,0,-1,63,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p}{x} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x, x)","F"
134,0,-1,58,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^2,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^2, x)","F"
135,0,-1,60,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^3,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p}{x^3} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^3, x)","F"
136,0,-1,64,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^4,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p}{x^4} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^4, x)","F"
137,0,-1,60,0.000000,"\text{Not used}","int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^5,x)","\int \frac{{\left(a^2+2\,a\,b\,x^3+b^2\,x^6\right)}^p}{x^5} \,d x","Not used",1,"int((a^2 + b^2*x^6 + 2*a*b*x^3)^p/x^5, x)","F"
138,1,1758,81,1.980549,"\text{Not used}","int(x^8/(a + b*x^3 + c*x^6),x)","\frac{x^3}{3\,c}+\frac{\ln\left(c\,x^6+b\,x^3+a\right)\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}+\frac{\mathrm{atan}\left(\frac{4\,c^3\,x^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{b\,\left(\frac{a^2\,b\,c^2-2\,a\,b^3\,c+b^5}{c^3}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{6\,a^2\,c^4-18\,a\,b^2\,c^3+12\,b^4\,c^2}{c^3}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{45\,b^3\,c^4-36\,a\,b\,c^5}{c^3}+\frac{27\,b^2\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}-\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{45\,b^3\,c^4-36\,a\,b\,c^5}{c^3}+\frac{27\,b^2\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{9\,b^2\,c\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{2\,\sqrt{4\,a\,c-b^2}\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{3\,b^2\,\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{4\,c\,\left(4\,a\,c-b^2\right)\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{4\,a^2\,c}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{45\,b^3\,c^4-36\,a\,b\,c^5}{c^3}+\frac{27\,b^2\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{9\,b^2\,c\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{2\,\sqrt{4\,a\,c-b^2}\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}-\frac{b^2\,{\left(2\,a\,c-b^2\right)}^3}{4\,c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(\frac{6\,a^2\,c^4-18\,a\,b^2\,c^3+12\,b^4\,c^2}{c^3}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{45\,b^3\,c^4-36\,a\,b\,c^5}{c^3}+\frac{27\,b^2\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}\right)}{4\,a^2\,c\,\sqrt{4\,a\,c-b^2}}\right)}{-8\,a^3\,c^3+12\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6}-\frac{c^2\,\left(2\,a\,c-b^2\right)\,\left(4\,a\,c-b^2\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(\frac{36\,a^2\,c^5-72\,a\,b^2\,c^4}{c^3}-\frac{54\,a\,b\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,a\,b\,c\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}-\frac{\left(\frac{15\,a\,b^3\,c^2-12\,a^2\,b\,c^3}{c^3}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{36\,a^2\,c^5-72\,a\,b^2\,c^4}{c^3}-\frac{54\,a\,b\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{a\,b\,{\left(2\,a\,c-b^2\right)}^3}{2\,c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{a^2\,\left(-8\,a^3\,c^3+12\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}+\frac{b\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{a\,b^4-a^2\,b^2\,c}{c^3}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{15\,a\,b^3\,c^2-12\,a^2\,b\,c^3}{c^3}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{36\,a^2\,c^5-72\,a\,b^2\,c^4}{c^3}-\frac{54\,a\,b\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{2\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}+\frac{\left(\frac{\left(\frac{36\,a^2\,c^5-72\,a\,b^2\,c^4}{c^3}-\frac{54\,a\,b\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{36\,a\,c^3-9\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,a\,b\,c\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{3\,a\,b\,\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{2\,c\,\left(4\,a\,c-b^2\right)\,\left(36\,a\,c^3-9\,b^2\,c^2\right)}\right)}{a^2\,\left(-8\,a^3\,c^3+12\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{3\,c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^3/(3*c) + (log(a + b*x^3 + c*x^6)*(3*b^3 - 12*a*b*c))/(2*(36*a*c^3 - 9*b^2*c^2)) + (atan((4*c^3*x^3*(4*a*c - b^2)^(3/2)*((b*((b^5 + a^2*b*c^2 - 2*a*b^3*c)/c^3 + ((3*b^3 - 12*a*b*c)*((6*a^2*c^4 + 12*b^4*c^2 - 18*a*b^2*c^3)/c^3 + ((3*b^3 - 12*a*b*c)*((45*b^3*c^4 - 36*a*b*c^5)/c^3 + (27*b^2*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(2*(36*a*c^3 - 9*b^2*c^2))))/(2*(36*a*c^3 - 9*b^2*c^2)) - ((((2*a*c - b^2)*((45*b^3*c^4 - 36*a*b*c^5)/c^3 + (27*b^2*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(6*c^2*(4*a*c - b^2)^(1/2)) + (9*b^2*c*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(2*(4*a*c - b^2)^(1/2)*(36*a*c^3 - 9*b^2*c^2)))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2)) - (3*b^2*(3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2)/(4*c*(4*a*c - b^2)*(36*a*c^3 - 9*b^2*c^2))))/(4*a^2*c) + ((2*a*c - b^2)*(((3*b^3 - 12*a*b*c)*(((2*a*c - b^2)*((45*b^3*c^4 - 36*a*b*c^5)/c^3 + (27*b^2*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(6*c^2*(4*a*c - b^2)^(1/2)) + (9*b^2*c*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(2*(4*a*c - b^2)^(1/2)*(36*a*c^3 - 9*b^2*c^2))))/(2*(36*a*c^3 - 9*b^2*c^2)) - (b^2*(2*a*c - b^2)^3)/(4*c^3*(4*a*c - b^2)^(3/2)) + (((6*a^2*c^4 + 12*b^4*c^2 - 18*a*b^2*c^3)/c^3 + ((3*b^3 - 12*a*b*c)*((45*b^3*c^4 - 36*a*b*c^5)/c^3 + (27*b^2*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(2*(36*a*c^3 - 9*b^2*c^2)))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2))))/(4*a^2*c*(4*a*c - b^2)^(1/2))))/(b^6 - 8*a^3*c^3 + 12*a^2*b^2*c^2 - 6*a*b^4*c) - (c^2*(2*a*c - b^2)*(4*a*c - b^2)*(((3*b^3 - 12*a*b*c)*((((36*a^2*c^5 - 72*a*b^2*c^4)/c^3 - (54*a*b*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2)) - (9*a*b*c*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(36*a*c^3 - 9*b^2*c^2))))/(2*(36*a*c^3 - 9*b^2*c^2)) - (((15*a*b^3*c^2 - 12*a^2*b*c^3)/c^3 - ((3*b^3 - 12*a*b*c)*((36*a^2*c^5 - 72*a*b^2*c^4)/c^3 - (54*a*b*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(2*(36*a*c^3 - 9*b^2*c^2)))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2)) + (a*b*(2*a*c - b^2)^3)/(2*c^3*(4*a*c - b^2)^(3/2))))/(a^2*(b^6 - 8*a^3*c^3 + 12*a^2*b^2*c^2 - 6*a*b^4*c)) + (b*c^2*(4*a*c - b^2)^(3/2)*((a*b^4 - a^2*b^2*c)/c^3 + ((3*b^3 - 12*a*b*c)*((15*a*b^3*c^2 - 12*a^2*b*c^3)/c^3 - ((3*b^3 - 12*a*b*c)*((36*a^2*c^5 - 72*a*b^2*c^4)/c^3 - (54*a*b*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2)))/(2*(36*a*c^3 - 9*b^2*c^2))))/(2*(36*a*c^3 - 9*b^2*c^2)) + (((((36*a^2*c^5 - 72*a*b^2*c^4)/c^3 - (54*a*b*c^3*(3*b^3 - 12*a*b*c))/(36*a*c^3 - 9*b^2*c^2))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2)) - (9*a*b*c*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(36*a*c^3 - 9*b^2*c^2)))*(2*a*c - b^2))/(6*c^2*(4*a*c - b^2)^(1/2)) - (3*a*b*(3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2)/(2*c*(4*a*c - b^2)*(36*a*c^3 - 9*b^2*c^2))))/(a^2*(b^6 - 8*a^3*c^3 + 12*a^2*b^2*c^2 - 6*a*b^4*c)))*(2*a*c - b^2))/(3*c^2*(4*a*c - b^2)^(1/2))","B"
139,1,1199,63,1.799836,"\text{Not used}","int(x^5/(a + b*x^3 + c*x^6),x)","\frac{\ln\left(c\,x^6+b\,x^3+a\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}+\frac{b\,\mathrm{atan}\left(\frac{4\,x^3\,\left(\frac{b\,\left(b^2-\frac{\left(12\,b^2\,c-\frac{\left(45\,b^2\,c^2-\frac{27\,b^2\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}-\frac{b\,\left(\frac{b\,\left(45\,b^2\,c^2-\frac{27\,b^2\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^2\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}+\frac{3\,b^4\,c\,\left(12\,a\,c-3\,b^2\right)}{4\,\left(36\,a\,c^2-9\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{4\,a^2\,c}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{b^5}{4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(12\,a\,c-3\,b^2\right)\,\left(\frac{b\,\left(45\,b^2\,c^2-\frac{27\,b^2\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^2\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}-\frac{b\,\left(12\,b^2\,c-\frac{\left(45\,b^2\,c^2-\frac{27\,b^2\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}\right)}{4\,a^2\,c\,\sqrt{4\,a\,c-b^2}}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{b^3}+\frac{{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(a\,b+\frac{\left(\frac{\left(72\,a\,b\,c^2-\frac{54\,a\,b\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}-15\,a\,b\,c\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}-\frac{b\,\left(\frac{b\,\left(72\,a\,b\,c^2-\frac{54\,a\,b\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}-\frac{9\,a\,b^2\,c^2\,\left(12\,a\,c-3\,b^2\right)}{\left(36\,a\,c^2-9\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}+\frac{3\,a\,b^3\,c\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{a^2\,b^2\,c}+\frac{\left(2\,a\,c-b^2\right)\,\left(4\,a\,c-b^2\right)\,\left(\frac{a\,b^4}{2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(\frac{b\,\left(72\,a\,b\,c^2-\frac{54\,a\,b\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}-\frac{9\,a\,b^2\,c^2\,\left(12\,a\,c-3\,b^2\right)}{\left(36\,a\,c^2-9\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}+\frac{b\,\left(\frac{\left(72\,a\,b\,c^2-\frac{54\,a\,b\,c^3\,\left(12\,a\,c-3\,b^2\right)}{36\,a\,c^2-9\,b^2\,c}\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(36\,a\,c^2-9\,b^2\,c\right)}-15\,a\,b\,c\right)}{6\,c\,\sqrt{4\,a\,c-b^2}}\right)}{a^2\,b^3\,c}\right)}{3\,c\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(log(a + b*x^3 + c*x^6)*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) + (b*atan((4*x^3*((b*(b^2 - ((12*b^2*c - ((45*b^2*c^2 - (27*b^2*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) - (b*((b*(45*b^2*c^2 - (27*b^2*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c)))/(6*c*(4*a*c - b^2)^(1/2)) - (9*b^3*c^2*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)*(4*a*c - b^2)^(1/2))))/(6*c*(4*a*c - b^2)^(1/2)) + (3*b^4*c*(12*a*c - 3*b^2))/(4*(36*a*c^2 - 9*b^2*c)*(4*a*c - b^2))))/(4*a^2*c) + ((2*a*c - b^2)*(b^5/(4*(4*a*c - b^2)^(3/2)) + ((12*a*c - 3*b^2)*((b*(45*b^2*c^2 - (27*b^2*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c)))/(6*c*(4*a*c - b^2)^(1/2)) - (9*b^3*c^2*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)*(4*a*c - b^2)^(1/2))))/(2*(36*a*c^2 - 9*b^2*c)) - (b*(12*b^2*c - ((45*b^2*c^2 - (27*b^2*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c))))/(6*c*(4*a*c - b^2)^(1/2))))/(4*a^2*c*(4*a*c - b^2)^(1/2)))*(4*a*c - b^2)^(3/2))/b^3 + ((4*a*c - b^2)^(3/2)*(a*b + ((((72*a*b*c^2 - (54*a*b*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) - 15*a*b*c)*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) - (b*((b*(72*a*b*c^2 - (54*a*b*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c)))/(6*c*(4*a*c - b^2)^(1/2)) - (9*a*b^2*c^2*(12*a*c - 3*b^2))/((36*a*c^2 - 9*b^2*c)*(4*a*c - b^2)^(1/2))))/(6*c*(4*a*c - b^2)^(1/2)) + (3*a*b^3*c*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)*(4*a*c - b^2))))/(a^2*b^2*c) + ((2*a*c - b^2)*(4*a*c - b^2)*((a*b^4)/(2*(4*a*c - b^2)^(3/2)) + (((b*(72*a*b*c^2 - (54*a*b*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c)))/(6*c*(4*a*c - b^2)^(1/2)) - (9*a*b^2*c^2*(12*a*c - 3*b^2))/((36*a*c^2 - 9*b^2*c)*(4*a*c - b^2)^(1/2)))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) + (b*(((72*a*b*c^2 - (54*a*b*c^3*(12*a*c - 3*b^2))/(36*a*c^2 - 9*b^2*c))*(12*a*c - 3*b^2))/(2*(36*a*c^2 - 9*b^2*c)) - 15*a*b*c))/(6*c*(4*a*c - b^2)^(1/2))))/(a^2*b^3*c)))/(3*c*(4*a*c - b^2)^(1/2))","B"
140,1,174,38,1.232443,"\text{Not used}","int(x^2/(a + b*x^3 + c*x^6),x)","-\frac{2\,\mathrm{atan}\left(\frac{\frac{x^3\,{\left(4\,a\,c-b^2\right)}^4}{2}+a\,b\,{\left(4\,a\,c-b^2\right)}^3+a\,b^3\,{\left(4\,a\,c-b^2\right)}^2+b^2\,x^3\,{\left(4\,a\,c-b^2\right)}^3+\frac{b^4\,x^3\,{\left(4\,a\,c-b^2\right)}^2}{2}}{b^2\,\left(32\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}-4\,a^2\,b^2\,c\,\sqrt{4\,a\,c-b^2}\right)-64\,a^4\,c^3\,\sqrt{4\,a\,c-b^2}}\right)}{3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"-(2*atan(((x^3*(4*a*c - b^2)^4)/2 + a*b*(4*a*c - b^2)^3 + a*b^3*(4*a*c - b^2)^2 + b^2*x^3*(4*a*c - b^2)^3 + (b^4*x^3*(4*a*c - b^2)^2)/2)/(b^2*(32*a^3*c^2*(4*a*c - b^2)^(1/2) - 4*a^2*b^2*c*(4*a*c - b^2)^(1/2)) - 64*a^4*c^3*(4*a*c - b^2)^(1/2))))/(3*(4*a*c - b^2)^(1/2))","B"
141,1,1362,69,1.921647,"\text{Not used}","int(1/(x*(a + b*x^3 + c*x^6)),x)","\frac{\ln\left(x\right)}{a}+\frac{\ln\left(c\,x^6+b\,x^3+a\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}-\frac{b\,\mathrm{atan}\left(\frac{3\,{\left(4\,a\,c-b^2\right)}^2\,\left(7\,a^2\,c^2-15\,a\,b^2\,c+4\,b^4\right)\,\left(\frac{b^3\,\left(27\,b^3\,c^3-\frac{27\,a\,b^3\,c^3\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)}{216\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{9\,b^4\,c^3\,{\left(12\,a\,c-3\,b^2\right)}^3}{16\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^3\,\sqrt{4\,a\,c-b^2}}-\frac{3\,b^6\,c^3\,\left(12\,a\,c-3\,b^2\right)}{16\,a^2\,\left(9\,a\,b^2-36\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,{\left(12\,a\,c-3\,b^2\right)}^2\,\left(27\,b^3\,c^3-\frac{27\,a\,b^3\,c^3\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)}{8\,a\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^2\,\sqrt{4\,a\,c-b^2}}\right)}{b^3\,c^6\,\left(49\,a\,c-12\,b^2\right)}-\frac{3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(29\,a^2\,b\,c^2-23\,a\,b^3\,c+4\,b^5\right)\,\left(\frac{{\left(12\,a\,c-3\,b^2\right)}^3\,\left(27\,b^3\,c^3-\frac{27\,a\,b^3\,c^3\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)}{8\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^3}-\frac{b^7\,c^3}{48\,a^3\,{\left(4\,a\,c-b^2\right)}^2}-\frac{b^2\,\left(12\,a\,c-3\,b^2\right)\,\left(27\,b^3\,c^3-\frac{27\,a\,b^3\,c^3\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)}{24\,a^2\,\left(9\,a\,b^2-36\,a^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{9\,b^5\,c^3\,{\left(12\,a\,c-3\,b^2\right)}^2}{16\,a\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^2\,\left(4\,a\,c-b^2\right)}\right)}{b^3\,c^6\,\left(49\,a\,c-12\,b^2\right)}+\frac{48\,a^4\,x^3\,\left(\frac{\left(7\,a^2\,c^2-15\,a\,b^2\,c+4\,b^4\right)\,\left(\frac{b^3\,\left(63\,b^2\,c^4-\frac{\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)}{216\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,{\left(12\,a\,c-3\,b^2\right)}^3}{48\,a\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^3\,\sqrt{4\,a\,c-b^2}}-\frac{b^3\,\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,\left(12\,a\,c-3\,b^2\right)}{144\,a^3\,\left(9\,a\,b^2-36\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(63\,b^2\,c^4-\frac{\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)\,{\left(12\,a\,c-3\,b^2\right)}^2}{8\,a\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^2\,\sqrt{4\,a\,c-b^2}}\right)}{16\,a^4\,c^3\,\left(49\,a\,c-12\,b^2\right)}-\frac{\left(29\,a^2\,b\,c^2-23\,a\,b^3\,c+4\,b^5\right)\,\left(\frac{\left(63\,b^2\,c^4-\frac{\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)\,{\left(12\,a\,c-3\,b^2\right)}^3}{8\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^3}-\frac{b^4\,\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)}{1296\,a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b^2\,\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,{\left(12\,a\,c-3\,b^2\right)}^2}{48\,a^2\,{\left(9\,a\,b^2-36\,a^2\,c\right)}^2\,\left(4\,a\,c-b^2\right)}-\frac{b^2\,\left(63\,b^2\,c^4-\frac{\left(108\,b^4\,c^3-378\,a\,b^2\,c^4\right)\,\left(12\,a\,c-3\,b^2\right)}{2\,\left(9\,a\,b^2-36\,a^2\,c\right)}\right)\,\left(12\,a\,c-3\,b^2\right)}{24\,a^2\,\left(9\,a\,b^2-36\,a^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{16\,a^4\,c^3\,\sqrt{4\,a\,c-b^2}\,\left(49\,a\,c-12\,b^2\right)}\right)\,{\left(4\,a\,c-b^2\right)}^2}{b^3\,c^3}\right)}{3\,a\,\sqrt{4\,a\,c-b^2}}","Not used",1,"log(x)/a + (log(a + b*x^3 + c*x^6)*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c)) - (b*atan((3*(4*a*c - b^2)^2*(4*b^4 + 7*a^2*c^2 - 15*a*b^2*c)*((b^3*(27*b^3*c^3 - (27*a*b^3*c^3*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c))))/(216*a^3*(4*a*c - b^2)^(3/2)) + (9*b^4*c^3*(12*a*c - 3*b^2)^3)/(16*(9*a*b^2 - 36*a^2*c)^3*(4*a*c - b^2)^(1/2)) - (3*b^6*c^3*(12*a*c - 3*b^2))/(16*a^2*(9*a*b^2 - 36*a^2*c)*(4*a*c - b^2)^(3/2)) - (b*(12*a*c - 3*b^2)^2*(27*b^3*c^3 - (27*a*b^3*c^3*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c))))/(8*a*(9*a*b^2 - 36*a^2*c)^2*(4*a*c - b^2)^(1/2))))/(b^3*c^6*(49*a*c - 12*b^2)) - (3*(4*a*c - b^2)^(3/2)*(4*b^5 + 29*a^2*b*c^2 - 23*a*b^3*c)*(((12*a*c - 3*b^2)^3*(27*b^3*c^3 - (27*a*b^3*c^3*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c))))/(8*(9*a*b^2 - 36*a^2*c)^3) - (b^7*c^3)/(48*a^3*(4*a*c - b^2)^2) - (b^2*(12*a*c - 3*b^2)*(27*b^3*c^3 - (27*a*b^3*c^3*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c))))/(24*a^2*(9*a*b^2 - 36*a^2*c)*(4*a*c - b^2)) + (9*b^5*c^3*(12*a*c - 3*b^2)^2)/(16*a*(9*a*b^2 - 36*a^2*c)^2*(4*a*c - b^2))))/(b^3*c^6*(49*a*c - 12*b^2)) + (48*a^4*x^3*(((4*b^4 + 7*a^2*c^2 - 15*a*b^2*c)*((b^3*(63*b^2*c^4 - ((108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c))))/(216*a^3*(4*a*c - b^2)^(3/2)) + (b*(108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2)^3)/(48*a*(9*a*b^2 - 36*a^2*c)^3*(4*a*c - b^2)^(1/2)) - (b^3*(108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2))/(144*a^3*(9*a*b^2 - 36*a^2*c)*(4*a*c - b^2)^(3/2)) - (b*(63*b^2*c^4 - ((108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c)))*(12*a*c - 3*b^2)^2)/(8*a*(9*a*b^2 - 36*a^2*c)^2*(4*a*c - b^2)^(1/2))))/(16*a^4*c^3*(49*a*c - 12*b^2)) - ((4*b^5 + 29*a^2*b*c^2 - 23*a*b^3*c)*(((63*b^2*c^4 - ((108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c)))*(12*a*c - 3*b^2)^3)/(8*(9*a*b^2 - 36*a^2*c)^3) - (b^4*(108*b^4*c^3 - 378*a*b^2*c^4))/(1296*a^4*(4*a*c - b^2)^2) + (b^2*(108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2)^2)/(48*a^2*(9*a*b^2 - 36*a^2*c)^2*(4*a*c - b^2)) - (b^2*(63*b^2*c^4 - ((108*b^4*c^3 - 378*a*b^2*c^4)*(12*a*c - 3*b^2))/(2*(9*a*b^2 - 36*a^2*c)))*(12*a*c - 3*b^2))/(24*a^2*(9*a*b^2 - 36*a^2*c)*(4*a*c - b^2))))/(16*a^4*c^3*(4*a*c - b^2)^(1/2)*(49*a*c - 12*b^2)))*(4*a*c - b^2)^2)/(b^3*c^3)))/(3*a*(4*a*c - b^2)^(1/2))","B"
142,1,4281,89,2.025640,"\text{Not used}","int(1/(x^4*(a + b*x^3 + c*x^6)),x)","\frac{\mathrm{atan}\left(\frac{48\,a^8\,x^3\,\left(\frac{\left(9\,a^2\,b\,c^2-16\,a\,b^3\,c+4\,b^5\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{12\,a^6\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{\left(\frac{42\,a^3\,c^6+33\,a^2\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{12\,a^6\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{72\,a^8\,\left(4\,a\,c-b^2\right)\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{42\,a^3\,c^6+33\,a^2\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{12\,b\,c^6}{a^3}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{432\,a^{10}\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{16\,a^4\,c^3\,\left(a^2\,c^2+48\,a\,b^2\,c-12\,b^4\right)}+\frac{\left(-2\,a^3\,c^3+33\,a^2\,b^2\,c^2-24\,a\,b^4\,c+4\,b^6\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{12\,a^6\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{72\,a^8\,\left(4\,a\,c-b^2\right)\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{c^7}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{42\,a^3\,c^6+33\,a^2\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{12\,b\,c^6}{a^3}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{12\,a^6\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{\left(\frac{42\,a^3\,c^6+33\,a^2\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{252\,a^4\,b\,c^5-18\,a^3\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{2\,a^4\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{{\left(2\,a\,c-b^2\right)}^4\,\left(108\,a^4\,b^4\,c^3-378\,a^5\,b^2\,c^4\right)}{1296\,a^{12}\,{\left(4\,a\,c-b^2\right)}^2}\right)}{16\,a^4\,c^3\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+48\,a\,b^2\,c-12\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^2}{8\,a^3\,c^6-12\,a^2\,b^2\,c^5+6\,a\,b^4\,c^4-b^6\,c^3}+\frac{3\,a^4\,{\left(4\,a\,c-b^2\right)}^2\,\left(9\,a^2\,b\,c^2-16\,a\,b^3\,c+4\,b^5\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{4\,a\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{9\,a^3\,b\,c^5-27\,a^2\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{\left(\frac{a^2\,c^6-9\,a\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{9\,a^3\,b\,c^5-27\,a^2\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(\frac{\left(\frac{\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{4\,a\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{3\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{8\,a^3\,\left(4\,a\,c-b^2\right)\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3}{16\,a^5\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{c^3\,\left(a^2\,c^2+48\,a\,b^2\,c-12\,b^4\right)\,\left(8\,a^3\,c^6-12\,a^2\,b^2\,c^5+6\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{3\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-2\,a^3\,c^3+33\,a^2\,b^2\,c^2-24\,a\,b^4\,c+4\,b^6\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{4\,a\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{3\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{8\,a^3\,\left(4\,a\,c-b^2\right)\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{b\,c^6}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{a^2\,c^6-9\,a\,b^2\,c^5}{a^4}+\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{9\,a^3\,b\,c^5-27\,a^2\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{9\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{4\,a\,\sqrt{4\,a\,c-b^2}\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{9\,a^3\,b\,c^5-27\,a^2\,b^3\,c^4}{a^4}-\frac{\left(3\,b^3-12\,a\,b\,c\right)\,\left(\frac{27\,a^3\,b^4\,c^3-27\,a^4\,b^2\,c^4}{a^4}-\frac{27\,a\,b^3\,c^3\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{6\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^3\,c^3\,{\left(2\,a\,c-b^2\right)}^4}{48\,a^7\,{\left(4\,a\,c-b^2\right)}^2}\right)}{c^3\,\left(a^2\,c^2+48\,a\,b^2\,c-12\,b^4\right)\,\left(8\,a^3\,c^6-12\,a^2\,b^2\,c^5+6\,a\,b^4\,c^4-b^6\,c^3\right)}\right)\,\left(2\,a\,c-b^2\right)}{3\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b\,\ln\left(x\right)}{a^2}-\frac{\ln\left(c\,x^6+b\,x^3+a\right)\,\left(3\,b^3-12\,a\,b\,c\right)}{2\,\left(36\,a^3\,c-9\,a^2\,b^2\right)}-\frac{1}{3\,a\,x^3}","Not used",1,"(atan((48*a^8*x^3*(((4*b^5 + 9*a^2*b*c^2 - 16*a*b^3*c)*(((3*b^3 - 12*a*b*c)*(((3*b^3 - 12*a*b*c)*(((2*a*c - b^2)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(12*a^6*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) + (((42*a^3*c^6 + 33*a^2*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2))))/(2*(36*a^3*c - 9*a^2*b^2)) - ((((((2*a*c - b^2)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(12*a^6*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(72*a^8*(4*a*c - b^2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)*(((3*b^3 - 12*a*b*c)*((42*a^3*c^6 + 33*a^2*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) + (12*b*c^6)/a^3))/(6*a^2*(4*a*c - b^2)^(1/2)) + ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)^3*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(432*a^10*(4*a*c - b^2)^(3/2)*(36*a^3*c - 9*a^2*b^2))))/(16*a^4*c^3*(a^2*c^2 - 12*b^4 + 48*a*b^2*c)) + ((4*b^6 - 2*a^3*c^3 + 33*a^2*b^2*c^2 - 24*a*b^4*c)*(((3*b^3 - 12*a*b*c)*(((((2*a*c - b^2)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(12*a^6*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(72*a^8*(4*a*c - b^2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) - c^7/a^4 - ((3*b^3 - 12*a*b*c)*(((3*b^3 - 12*a*b*c)*((42*a^3*c^6 + 33*a^2*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) + (12*b*c^6)/a^3))/(2*(36*a^3*c - 9*a^2*b^2)) + ((2*a*c - b^2)*(((3*b^3 - 12*a*b*c)*(((2*a*c - b^2)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2)) - ((3*b^3 - 12*a*b*c)*(2*a*c - b^2)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(12*a^6*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) + (((42*a^3*c^6 + 33*a^2*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((252*a^4*b*c^5 - 18*a^3*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(2*a^4*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2))))/(6*a^2*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)^4*(108*a^4*b^4*c^3 - 378*a^5*b^2*c^4))/(1296*a^12*(4*a*c - b^2)^2)))/(16*a^4*c^3*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 12*b^4 + 48*a*b^2*c)))*(4*a*c - b^2)^2)/(8*a^3*c^6 - b^6*c^3 + 6*a*b^4*c^4 - 12*a^2*b^2*c^5) + (3*a^4*(4*a*c - b^2)^2*(4*b^5 + 9*a^2*b*c^2 - 16*a*b^3*c)*(((3*b^3 - 12*a*b*c)*(((3*b^3 - 12*a*b*c)*((((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (9*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(4*a*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) - ((2*a*c - b^2)*((9*a^3*b*c^5 - 27*a^2*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2))))/(2*(36*a^3*c - 9*a^2*b^2)) - (((a^2*c^6 - 9*a*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((9*a^3*b*c^5 - 27*a^2*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (((((((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (9*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(4*a*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (3*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2)/(8*a^3*(4*a*c - b^2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) + (b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2)^3)/(16*a^5*(4*a*c - b^2)^(3/2)*(36*a^3*c - 9*a^2*b^2))))/(c^3*(a^2*c^2 - 12*b^4 + 48*a*b^2*c)*(8*a^3*c^6 - b^6*c^3 + 6*a*b^4*c^4 - 12*a^2*b^2*c^5)) + (3*a^4*(4*a*c - b^2)^(3/2)*(4*b^6 - 2*a^3*c^3 + 33*a^2*b^2*c^2 - 24*a*b^4*c)*(((3*b^3 - 12*a*b*c)*((((((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (9*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(4*a*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (3*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2)^2)/(8*a^3*(4*a*c - b^2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) - (b*c^6)/a^4 + ((3*b^3 - 12*a*b*c)*((a^2*c^6 - 9*a*b^2*c^5)/a^4 + ((3*b^3 - 12*a*b*c)*((9*a^3*b*c^5 - 27*a^2*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) + ((2*a*c - b^2)*(((3*b^3 - 12*a*b*c)*((((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2)))*(2*a*c - b^2))/(6*a^2*(4*a*c - b^2)^(1/2)) - (9*b^3*c^3*(3*b^3 - 12*a*b*c)*(2*a*c - b^2))/(4*a*(4*a*c - b^2)^(1/2)*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2)) - ((2*a*c - b^2)*((9*a^3*b*c^5 - 27*a^2*b^3*c^4)/a^4 - ((3*b^3 - 12*a*b*c)*((27*a^3*b^4*c^3 - 27*a^4*b^2*c^4)/a^4 - (27*a*b^3*c^3*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2))))/(2*(36*a^3*c - 9*a^2*b^2))))/(6*a^2*(4*a*c - b^2)^(1/2))))/(6*a^2*(4*a*c - b^2)^(1/2)) + (b^3*c^3*(2*a*c - b^2)^4)/(48*a^7*(4*a*c - b^2)^2)))/(c^3*(a^2*c^2 - 12*b^4 + 48*a*b^2*c)*(8*a^3*c^6 - b^6*c^3 + 6*a*b^4*c^4 - 12*a^2*b^2*c^5)))*(2*a*c - b^2))/(3*a^2*(4*a*c - b^2)^(1/2)) - (b*log(x))/a^2 - (log(a + b*x^3 + c*x^6)*(3*b^3 - 12*a*b*c))/(2*(36*a^3*c - 9*a^2*b^2)) - 1/(3*a*x^3)","B"
143,1,4069,636,12.145585,"\text{Not used}","int(x^7/(a + b*x^3 + c*x^6),x)","\ln\left(\frac{2^{1/3}\,\left(\frac{2^{2/3}\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}-\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{18}+\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}+\ln\left(\frac{2^{1/3}\,\left(\frac{2^{2/3}\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}-\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{18}+\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}+\frac{x^2}{2\,c}-\ln\left(\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}-\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}+\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}+\ln\left(\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}-\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}-\ln\left(\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}-\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}+\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}+\ln\left(\frac{a^4\,x\,\left(a\,c-b^2\right)}{c^2}-\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^2\,c\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-\frac{9\,a\,b\,\left(-12\,a^3\,c^3+19\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{c^2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^8-48\,a^2\,b^2\,c^7+12\,a\,b^4\,c^6-b^6\,c^5\right)}\right)}^{1/3}","Not used",1,"log((2^(1/3)*((2^(2/3)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/6 - (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/18 + (a^4*x*(a*c - b^2))/c^2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3) + log((2^(1/3)*((2^(2/3)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/6 - (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/18 + (a^4*x*(a*c - b^2))/c^2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3) + x^2/(2*c) - log((a^4*x*(a*c - b^2))/c^2 - (2^(1/3)*(3^(1/2)*1i - 1)*((2^(2/3)*(3^(1/2)*1i + 1)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/12 + (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/36)*((3^(1/2)*1i)/2 + 1/2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3) + log((a^4*x*(a*c - b^2))/c^2 - (2^(1/3)*(3^(1/2)*1i + 1)*((2^(2/3)*(3^(1/2)*1i - 1)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/12 - (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/36)*((3^(1/2)*1i)/2 - 1/2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3) - log((a^4*x*(a*c - b^2))/c^2 - (2^(1/3)*(3^(1/2)*1i - 1)*((2^(2/3)*(3^(1/2)*1i + 1)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/12 + (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/36)*((3^(1/2)*1i)/2 + 1/2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3) + log((a^4*x*(a*c - b^2))/c^2 - (2^(1/3)*(3^(1/2)*1i + 1)*((2^(2/3)*(3^(1/2)*1i - 1)*(27*a^2*c*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(1/3))/12 - (9*a*b*(b^6 - 12*a^3*c^3 + 19*a^2*b^2*c^2 - 8*a*b^4*c))/c^2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(c^5*(4*a*c - b^2)^3))^(2/3))/36)*((3^(1/2)*1i)/2 - 1/2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^8 - b^6*c^5 + 12*a*b^4*c^6 - 48*a^2*b^2*c^7)))^(1/3)","B"
144,1,2280,631,3.396973,"\text{Not used}","int(x^6/(a + b*x^3 + c*x^6),x)","\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{4\,c\,\left(4\,a\,c-b^2\right)}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\frac{x}{c}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{4\,c\,\left(4\,a\,c-b^2\right)}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}-\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}-\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}","Not used",1,"log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(4*c*(4*a*c - b^2)))*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + x/c + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(4*c*(4*a*c - b^2)))*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*(3^(1/2)*1i - 1)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 - 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) - log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(3^(1/2)*1i + 1)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 + 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(3^(1/2)*1i - 1)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 - 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) - log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*(3^(1/2)*1i + 1)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 + 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3)","B"
145,1,2695,558,8.110947,"\text{Not used}","int(x^4/(a + b*x^3 + c*x^6),x)","\ln\left(\frac{2^{1/3}\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-\frac{2^{2/3}\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c\right)}{18}+a^2\,b\,c\,x\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}+\ln\left(\frac{2^{1/3}\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-\frac{2^{2/3}\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c\right)}{18}+a^2\,b\,c\,x\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}-\ln\left(\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c+\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)}{36}+a^2\,b\,c\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}+\ln\left(\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c-\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)}{36}-a^2\,b\,c\,x\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}-\ln\left(\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c+\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)}{36}+a^2\,b\,c\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}+\ln\left(\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}\,\left(36\,a^3\,c^3-45\,a^2\,b^2\,c^2+9\,a\,b^4\,c-\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(54\,a^2\,c^3\,x\,\left(4\,a\,c-b^2\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)}{36}-a^2\,b\,c\,x\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}\right)}^{1/3}","Not used",1,"log((2^(1/3)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - (2^(2/3)*(54*a^2*c^3*x*(4*a*c - b^2) - (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/2)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/6 - 45*a^2*b^2*c^2 + 9*a*b^4*c))/18 + a^2*b*c*x)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3) + log((2^(1/3)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - (2^(2/3)*(54*a^2*c^3*x*(4*a*c - b^2) - (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/2)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/6 - 45*a^2*b^2*c^2 + 9*a*b^4*c))/18 + a^2*b*c*x)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3) - log((2^(1/3)*(3^(1/2)*1i - 1)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - 45*a^2*b^2*c^2 + 9*a*b^4*c + (2^(2/3)*(3^(1/2)*1i + 1)*(54*a^2*c^3*x*(4*a*c - b^2) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/4)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/12))/36 + a^2*b*c*x)*((3^(1/2)*1i)/2 + 1/2)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3) + log((2^(1/3)*(3^(1/2)*1i + 1)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - 45*a^2*b^2*c^2 + 9*a*b^4*c - (2^(2/3)*(3^(1/2)*1i - 1)*(54*a^2*c^3*x*(4*a*c - b^2) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/4)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/12))/36 - a^2*b*c*x)*((3^(1/2)*1i)/2 - 1/2)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3) - log((2^(1/3)*(3^(1/2)*1i - 1)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - 45*a^2*b^2*c^2 + 9*a*b^4*c + (2^(2/3)*(3^(1/2)*1i + 1)*(54*a^2*c^3*x*(4*a*c - b^2) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/4)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/12))/36 + a^2*b*c*x)*((3^(1/2)*1i)/2 + 1/2)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3) + log((2^(1/3)*(3^(1/2)*1i + 1)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3)*(36*a^3*c^3 - 45*a^2*b^2*c^2 + 9*a*b^4*c - (2^(2/3)*(3^(1/2)*1i - 1)*(54*a^2*c^3*x*(4*a*c - b^2) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(2/3))/4)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(c^2*(4*a*c - b^2)^3))^(1/3))/12))/36 - a^2*b*c*x)*((3^(1/2)*1i)/2 - 1/2)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)))^(1/3)","B"
146,1,2129,558,7.712405,"\text{Not used}","int(x^3/(a + b*x^3 + c*x^6),x)","\ln\left(\frac{2^{2/3}\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(9\,a\,b^3\,c^2-36\,a^2\,b\,c^3+\frac{9\,2^{1/3}\,a\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,\left(x-\frac{2^{2/3}\,b\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)}{6}+3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}+\ln\left(\frac{2^{2/3}\,\left(9\,a\,b^3\,c^2-36\,a^2\,b\,c^3+\frac{9\,2^{1/3}\,a\,c^3\,\left(x-\frac{2^{2/3}\,b\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}+3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}+\ln\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(36\,a^2\,b\,c^3-9\,a\,b^3\,c^2+\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}-\ln\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(9\,a\,b^3\,c^2-36\,a^2\,b\,c^3+\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}+\ln\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(36\,a^2\,b\,c^3-9\,a\,b^3\,c^2+\frac{2^{1/3}\,\left(81\,a\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}-\ln\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(9\,a\,b^3\,c^2-36\,a^2\,b\,c^3+\frac{2^{1/3}\,\left(81\,a\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{c\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}-3\,a\,c^2\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}\right)}^{1/3}","Not used",1,"log((2^(2/3)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3)*(9*a*b^3*c^2 - 36*a^2*b*c^3 + (9*2^(1/3)*a*c^3*(4*a*c - b^2)^2*(x - (2^(2/3)*b*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/2)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/2))/6 + 3*a*c^2*x*(2*a*c - b^2))*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3) + log((2^(2/3)*(9*a*b^3*c^2 - 36*a^2*b*c^3 + (9*2^(1/3)*a*c^3*(x - (2^(2/3)*b*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/2)*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/2)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/6 + 3*a*c^2*x*(2*a*c - b^2))*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3) + log((2^(2/3)*(3^(1/2)*1i - 1)*(36*a^2*b*c^3 - 9*a*b^3*c^2 + (2^(1/3)*(3^(1/2)*1i + 1)*(81*a*c^3*x*(4*a*c - b^2)^2 - (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/4)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/36)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/12 - 3*a*c^2*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 - 1/2)*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3) - log((2^(2/3)*(3^(1/2)*1i + 1)*(9*a*b^3*c^2 - 36*a^2*b*c^3 + (2^(1/3)*(3^(1/2)*1i - 1)*(81*a*c^3*x*(4*a*c - b^2)^2 + (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/4)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/36)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/12 - 3*a*c^2*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 + 1/2)*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3) + log((2^(2/3)*(3^(1/2)*1i - 1)*(36*a^2*b*c^3 - 9*a*b^3*c^2 + (2^(1/3)*(81*a*c^3*x*(4*a*c - b^2)^2 - (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/4)*(3^(1/2)*1i + 1)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/36)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/12 - 3*a*c^2*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 - 1/2)*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3) - log((2^(2/3)*(3^(1/2)*1i + 1)*(9*a*b^3*c^2 - 36*a^2*b*c^3 + (2^(1/3)*(81*a*c^3*x*(4*a*c - b^2)^2 + (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/4)*(3^(1/2)*1i - 1)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(2/3))/36)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(c*(4*a*c - b^2)^3))^(1/3))/12 - 3*a*c^2*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 + 1/2)*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)))^(1/3)","B"
147,1,1543,558,5.387508,"\text{Not used}","int(x/(a + b*x^3 + c*x^6),x)","\ln\left(c^4\,x-\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}+\ln\left(c^4\,x+\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}-\ln\left(c^4\,x-\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}+\ln\left(c^4\,x-\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}-\ln\left(c^4\,x+\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)+\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}+\ln\left(c^4\,x+\frac{\left(27\,c^3\,x\,\left(8\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)-\frac{27\,2^{1/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{a\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{54\,a\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c}{54\,\left(-64\,a^4\,c^3+48\,a^3\,b^2\,c^2-12\,a^2\,b^4\,c+a\,b^6\right)}\right)}^{1/3}","Not used",1,"log(c^4*x - ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/2)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3) + log(c^4*x + ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(4*a*c - b^2)^2*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/2)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3) - log(c^4*x - ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/4)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*((3^(1/2)*1i)/2 + 1/2)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3) + log(c^4*x - ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/4)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*((3^(1/2)*1i)/2 - 1/2)*(-(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3) - log(c^4*x + ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) + (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/4)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*((3^(1/2)*1i)/2 + 1/2)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3) + log(c^4*x + ((27*c^3*x*(b^4 + 8*a^2*c^2 - 6*a*b^2*c) - (27*2^(1/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(a*(4*a*c - b^2)^3))^(2/3))/4)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(54*a*(4*a*c - b^2)^3))*((3^(1/2)*1i)/2 - 1/2)*((b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c)/(54*(a*b^6 - 64*a^4*c^3 - 12*a^2*b^4*c + 48*a^3*b^2*c^2)))^(1/3)","B"
148,1,2597,558,8.494654,"\text{Not used}","int(1/(a + b*x^3 + c*x^6),x)","\ln\left(6\,c^5\,x+\frac{2^{2/3}\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(36\,a\,c^5-9\,b^2\,c^4+\frac{9\,2^{1/3}\,b\,c^3\,\left(x+\frac{2^{2/3}\,a\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)}{6}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}+\ln\left(6\,c^5\,x+\frac{2^{2/3}\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(36\,a\,c^5-9\,b^2\,c^4+\frac{9\,2^{1/3}\,b\,c^3\,\left(x+\frac{2^{2/3}\,a\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)}{6}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}+\ln\left(6\,c^5\,x-\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(9\,b^2\,c^4-36\,a\,c^5+\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,b\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}-\ln\left(6\,c^5\,x-\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(36\,a\,c^5-9\,b^2\,c^4+\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,b\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c-2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}+\ln\left(6\,c^5\,x-\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(9\,b^2\,c^4-36\,a\,c^5+\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,b\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}-\ln\left(6\,c^5\,x-\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(36\,a\,c^5-9\,b^2\,c^4+\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,b\,c^3\,x\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^2\,b\,c^2-8\,a\,b^3\,c+2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}\right)}^{1/3}","Not used",1,"log(6*c^5*x + (2^(2/3)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(36*a*c^5 - 9*b^2*c^4 + (9*2^(1/3)*b*c^3*(x + (2^(2/3)*a*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/2)*(4*a*c - b^2)^2*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/2))/6)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3) + log(6*c^5*x + (2^(2/3)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(36*a*c^5 - 9*b^2*c^4 + (9*2^(1/3)*b*c^3*(x + (2^(2/3)*a*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/2)*(4*a*c - b^2)^2*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/2))/6)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3) + log(6*c^5*x - (2^(2/3)*(3^(1/2)*1i - 1)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(9*b^2*c^4 - 36*a*c^5 + (2^(1/3)*(3^(1/2)*1i + 1)*(81*b*c^3*x*(4*a*c - b^2)^2 + (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/36))/12)*((3^(1/2)*1i)/2 - 1/2)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3) - log(6*c^5*x - (2^(2/3)*(3^(1/2)*1i + 1)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(36*a*c^5 - 9*b^2*c^4 + (2^(1/3)*(3^(1/2)*1i - 1)*(81*b*c^3*x*(4*a*c - b^2)^2 - (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/36))/12)*((3^(1/2)*1i)/2 + 1/2)*((b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c - 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3) + log(6*c^5*x - (2^(2/3)*(3^(1/2)*1i - 1)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(9*b^2*c^4 - 36*a*c^5 + (2^(1/3)*(3^(1/2)*1i + 1)*(81*b*c^3*x*(4*a*c - b^2)^2 + (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/36))/12)*((3^(1/2)*1i)/2 - 1/2)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3) - log(6*c^5*x - (2^(2/3)*(3^(1/2)*1i + 1)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3)*(36*a*c^5 - 9*b^2*c^4 + (2^(1/3)*(3^(1/2)*1i - 1)*(81*b*c^3*x*(4*a*c - b^2)^2 - (81*2^(2/3)*a*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(1/3))/4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(a^2*(4*a*c - b^2)^3))^(2/3))/36))/12)*((3^(1/2)*1i)/2 + 1/2)*((b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c + 2*a*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))^(1/3)","B"
149,1,2978,610,6.889492,"\text{Not used}","int(1/(x^2*(a + b*x^3 + c*x^6)),x)","\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5-\frac{2^{2/3}\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)+\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}+\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5-\frac{2^{2/3}\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)+\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{6}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}-\frac{1}{a\,x}+\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5-\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)-\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}-\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5+\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)+\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,{\left(-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}-\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5+\frac{2^{2/3}\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)+\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}+\ln\left(36\,a^9\,c^6+9\,a^7\,b^4\,c^4-45\,a^8\,b^2\,c^5-\frac{2^{2/3}\,\left(27\,a^7\,c^3\,x\,\left(-8\,a^3\,c^3+18\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)-\frac{27\,2^{1/3}\,a^{10}\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{12}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6\right)}\right)}^{1/3}","Not used",1,"log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 - (2^(2/3)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) + (27*2^(1/3)*a^10*b*c^3*(4*a*c - b^2)^2*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/2)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/6)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3) + log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 - (2^(2/3)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) + (27*2^(1/3)*a^10*b*c^3*(4*a*c - b^2)^2*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/2)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/6)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3) - 1/(a*x) + log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 - (2^(2/3)*(3^(1/2)*1i - 1)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) - (27*2^(1/3)*a^10*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/12)*((3^(1/2)*1i)/2 - 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3) - log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 + (2^(2/3)*(3^(1/2)*1i + 1)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) + (27*2^(1/3)*a^10*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/4)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/12)*((3^(1/2)*1i)/2 + 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3) - log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 + (2^(2/3)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) + (27*2^(1/3)*a^10*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/4)*(3^(1/2)*1i + 1)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/12)*((3^(1/2)*1i)/2 + 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3) + log(36*a^9*c^6 + 9*a^7*b^4*c^4 - 45*a^8*b^2*c^5 - (2^(2/3)*(27*a^7*c^3*x*(b^6 - 8*a^3*c^3 + 18*a^2*b^2*c^2 - 8*a*b^4*c) - (27*2^(1/3)*a^10*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(2/3))/4)*(3^(1/2)*1i - 1)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^4*(4*a*c - b^2)^3))^(1/3))/12)*((3^(1/2)*1i)/2 - 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2)))^(1/3)","B"
150,1,4063,612,10.653552,"\text{Not used}","int(1/(x^3*(a + b*x^3 + c*x^6)),x)","\ln\left(\frac{2^{2/3}\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+\frac{2^{1/3}\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{18}+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5\right)}{6}-3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}+\ln\left(\frac{2^{2/3}\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+\frac{2^{1/3}\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{18}+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5\right)}{6}-3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}-\frac{1}{2\,a\,x^2}+\ln\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5-\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}-3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}-\ln\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5+\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}+3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c+5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}+\ln\left(\frac{2^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5-\frac{2^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2+\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}-3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}-\ln\left(\frac{2^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(72\,a^8\,b\,c^6+9\,a^6\,b^5\,c^4-54\,a^7\,b^3\,c^5+\frac{2^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(81\,a^8\,c^3\,x\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2-\frac{81\,2^{2/3}\,a^{10}\,b\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(4\,a\,c-b^2\right)}^2\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}}{4}\right)\,{\left(\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{a^5\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{2/3}}{36}\right)}{12}+3\,a^6\,c^6\,x\,\left(2\,a\,c-b^2\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^8+16\,a^4\,c^4-b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^2\,b^4\,c^2-56\,a^3\,b^2\,c^3-11\,a\,b^6\,c-5\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6\right)}\right)}^{1/3}","Not used",1,"log((2^(2/3)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + (2^(1/3)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 + (81*2^(2/3)*a^10*b*c^3*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/2)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/18 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5))/6 - 3*a^6*c^6*x*(2*a*c - b^2))*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3) + log((2^(2/3)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + (2^(1/3)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 + (81*2^(2/3)*a^10*b*c^3*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/2)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/18 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5))/6 - 3*a^6*c^6*x*(2*a*c - b^2))*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3) - 1/(2*a*x^2) + log((2^(2/3)*(3^(1/2)*1i - 1)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5 - (2^(1/3)*(3^(1/2)*1i + 1)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 + (81*2^(2/3)*a^10*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/4)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/36))/12 - 3*a^6*c^6*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 - 1/2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3) - log((2^(2/3)*(3^(1/2)*1i + 1)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5 + (2^(1/3)*(3^(1/2)*1i - 1)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 - (81*2^(2/3)*a^10*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/4)*((b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/36))/12 + 3*a^6*c^6*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 + 1/2)*(-(b^8 + 16*a^4*c^4 + b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c + 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3) + log((2^(2/3)*(3^(1/2)*1i - 1)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5 - (2^(1/3)*(3^(1/2)*1i + 1)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 + (81*2^(2/3)*a^10*b*c^3*(3^(1/2)*1i - 1)*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/4)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/36))/12 - 3*a^6*c^6*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 - 1/2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3) - log((2^(2/3)*(3^(1/2)*1i + 1)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3)*(72*a^8*b*c^6 + 9*a^6*b^5*c^4 - 54*a^7*b^3*c^5 + (2^(1/3)*(3^(1/2)*1i - 1)*(81*a^8*c^3*x*(a*c - b^2)*(4*a*c - b^2)^2 - (81*2^(2/3)*a^10*b*c^3*(3^(1/2)*1i + 1)*(4*a*c - b^2)^2*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(1/3))/4)*((b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(a^5*(4*a*c - b^2)^3))^(2/3))/36))/12 + 3*a^6*c^6*x*(2*a*c - b^2))*((3^(1/2)*1i)/2 + 1/2)*(-(b^8 + 16*a^4*c^4 - b^5*(-(4*a*c - b^2)^3)^(1/2) + 41*a^2*b^4*c^2 - 56*a^3*b^2*c^3 - 11*a*b^6*c - 5*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 5*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2)))^(1/3)","B"
151,1,27,35,1.252709,"\text{Not used}","int(x^11/(4*x^3 + x^6 + 3),x)","\frac{9\,\ln\left(x^3+3\right)}{2}-\frac{\ln\left(x^3+1\right)}{6}-\frac{4\,x^3}{3}+\frac{x^6}{6}","Not used",1,"(9*log(x^3 + 3))/2 - log(x^3 + 1)/6 - (4*x^3)/3 + x^6/6","B"
152,1,22,28,0.045840,"\text{Not used}","int(x^8/(4*x^3 + x^6 + 3),x)","\frac{\ln\left(x^3+1\right)}{6}-\frac{3\,\ln\left(x^3+3\right)}{2}+\frac{x^3}{3}","Not used",1,"log(x^3 + 1)/6 - (3*log(x^3 + 3))/2 + x^3/3","B"
153,1,17,21,0.054990,"\text{Not used}","int(x^5/(4*x^3 + x^6 + 3),x)","\frac{\ln\left(x^3+3\right)}{2}-\frac{\ln\left(x^3+1\right)}{6}","Not used",1,"log(x^3 + 3)/2 - log(x^3 + 1)/6","B"
154,1,16,10,0.382850,"\text{Not used}","int(x^2/(4*x^3 + x^6 + 3),x)","\frac{\mathrm{atanh}\left(\frac{9}{2\,\left(8\,x^3+6\right)}+\frac{5}{4}\right)}{3}","Not used",1,"atanh(9/(2*(8*x^3 + 6)) + 5/4)/3","B"
155,1,21,27,1.260957,"\text{Not used}","int(1/(x*(4*x^3 + x^6 + 3)),x)","\frac{\ln\left(x^3+3\right)}{18}-\frac{\ln\left(x^3+1\right)}{6}+\frac{\ln\left(x\right)}{3}","Not used",1,"log(x^3 + 3)/18 - log(x^3 + 1)/6 + log(x)/3","B"
156,1,26,34,1.233441,"\text{Not used}","int(1/(x^4*(4*x^3 + x^6 + 3)),x)","\frac{\ln\left(x^3+1\right)}{6}-\frac{\ln\left(x^3+3\right)}{54}-\frac{4\,\ln\left(x\right)}{9}-\frac{1}{9\,x^3}","Not used",1,"log(x^3 + 1)/6 - log(x^3 + 3)/54 - (4*log(x))/9 - 1/(9*x^3)","B"
157,1,32,41,0.042920,"\text{Not used}","int(1/(x^7*(4*x^3 + x^6 + 3)),x)","\frac{\ln\left(x^3+3\right)}{162}-\frac{\ln\left(x^3+1\right)}{6}+\frac{13\,\ln\left(x\right)}{27}+\frac{\frac{4\,x^3}{27}-\frac{1}{18}}{x^6}","Not used",1,"log(x^3 + 3)/162 - log(x^3 + 1)/6 + (13*log(x))/27 + ((4*x^3)/27 - 1/18)/x^6","B"
158,1,124,124,0.244110,"\text{Not used}","int(x^10/(4*x^3 + x^6 + 3),x)","\frac{\ln\left(x+1\right)}{6}-\frac{3\,3^{2/3}\,\ln\left(x+3^{1/3}\right)}{2}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-2\,x^2+\frac{x^5}{5}-\frac{3\,{\left(-1\right)}^{1/3}\,\ln\left(x-\frac{{\left(-1\right)}^{1/3}\,3^{1/3}}{2}-\frac{{\left(-1\right)}^{1/6}\,3^{5/6}}{2}+\frac{3^{1/3}}{2}\right)\,\left(3^{2/3}+3^{1/6}\,3{}\mathrm{i}\right)}{4}+\frac{3\,{\left(-1\right)}^{1/3}\,3^{2/3}\,\ln\left(x+{\left(-1\right)}^{2/3}\,3^{1/3}\right)}{2}","Not used",1,"log(x + 1)/6 - (3*3^(2/3)*log(x + 3^(1/3)))/2 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - 2*x^2 + x^5/5 - (3*(-1)^(1/3)*log(x - ((-1)^(1/3)*3^(1/3))/2 - ((-1)^(1/6)*3^(5/6))/2 + 3^(1/3)/2)*(3^(2/3) + 3^(1/6)*3i))/4 + (3*(-1)^(1/3)*3^(2/3)*log(x + (-1)^(2/3)*3^(1/3)))/2","B"
159,1,119,122,1.419939,"\text{Not used}","int(x^9/(4*x^3 + x^6 + 3),x)","\frac{3\,3^{1/3}\,\ln\left(x+3^{1/3}\right)}{2}-\frac{\ln\left(x+1\right)}{6}-4\,x+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{x^4}{4}-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3\,3^{1/3}}{4}+\frac{3^{5/6}\,3{}\mathrm{i}}{4}\right)+3^{1/3}\,\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{3}{4}+\frac{\sqrt{3}\,3{}\mathrm{i}}{4}\right)","Not used",1,"(3*3^(1/3)*log(x + 3^(1/3)))/2 - log(x + 1)/6 - 4*x + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + x^4/4 - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*((3*3^(1/3))/4 + (3^(5/6)*3i)/4) + 3^(1/3)*log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*((3^(1/2)*3i)/4 - 3/4)","B"
160,1,118,119,0.185710,"\text{Not used}","int(x^7/(4*x^3 + x^6 + 3),x)","\frac{3^{2/3}\,\ln\left(x+3^{1/3}\right)}{2}-\frac{\ln\left(x+1\right)}{6}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{x^2}{2}-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{4}-\frac{3^{1/6}\,3{}\mathrm{i}}{4}\right)-\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{4}+\frac{3^{1/6}\,3{}\mathrm{i}}{4}\right)","Not used",1,"(3^(2/3)*log(x + 3^(1/3)))/2 - log(x + 1)/6 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + x^2/2 - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*(3^(2/3)/4 - (3^(1/6)*3i)/4) - log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(2/3)/4 + (3^(1/6)*3i)/4)","B"
161,1,104,113,0.160283,"\text{Not used}","int(x^6/(4*x^3 + x^6 + 3),x)","x+\frac{\ln\left(x+1\right)}{6}-\frac{3^{1/3}\,\ln\left(x+3^{1/3}\right)}{2}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{1/3}}{4}-\frac{3^{5/6}\,1{}\mathrm{i}}{4}\right)+\frac{{\left(-1\right)}^{1/3}\,3^{1/3}\,\ln\left(x-{\left(-1\right)}^{1/3}\,3^{1/3}\right)}{2}","Not used",1,"x + log(x + 1)/6 - (3^(1/3)*log(x + 3^(1/3)))/2 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(1/3)/4 - (3^(5/6)*1i)/4) + ((-1)^(1/3)*3^(1/3)*log(x - (-1)^(1/3)*3^(1/3)))/2","B"
162,1,114,112,1.370781,"\text{Not used}","int(x^4/(4*x^3 + x^6 + 3),x)","\frac{\ln\left(x+1\right)}{6}-\frac{3^{2/3}\,\ln\left(x+3^{1/3}\right)}{6}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\frac{{\left(-1\right)}^{1/3}\,\ln\left(x-\frac{{\left(-1\right)}^{1/3}\,3^{1/3}}{2}-\frac{{\left(-1\right)}^{1/6}\,3^{5/6}}{2}+\frac{3^{1/3}}{2}\right)\,\left(3^{2/3}+3^{1/6}\,3{}\mathrm{i}\right)}{12}+\frac{{\left(-1\right)}^{1/3}\,3^{2/3}\,\ln\left(x+{\left(-1\right)}^{2/3}\,3^{1/3}\right)}{6}","Not used",1,"log(x + 1)/6 - (3^(2/3)*log(x + 3^(1/3)))/6 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - ((-1)^(1/3)*log(x - ((-1)^(1/3)*3^(1/3))/2 - ((-1)^(1/6)*3^(5/6))/2 + 3^(1/3)/2)*(3^(2/3) + 3^(1/6)*3i))/12 + ((-1)^(1/3)*3^(2/3)*log(x + (-1)^(2/3)*3^(1/3)))/6","B"
163,1,113,112,1.363176,"\text{Not used}","int(x^3/(4*x^3 + x^6 + 3),x)","\frac{3^{1/3}\,\ln\left(x+3^{1/3}\right)}{6}-\frac{\ln\left(x+1\right)}{6}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{1/3}}{12}+\frac{3^{5/6}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{1/3}}{12}-\frac{3^{5/6}\,1{}\mathrm{i}}{12}\right)","Not used",1,"(3^(1/3)*log(x + 3^(1/3)))/6 - log(x + 1)/6 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*(3^(1/3)/12 + (3^(5/6)*1i)/12) - log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(1/3)/12 - (3^(5/6)*1i)/12)","B"
164,1,113,112,1.363514,"\text{Not used}","int(x/(4*x^3 + x^6 + 3),x)","\frac{3^{2/3}\,\ln\left(x+3^{1/3}\right)}{18}-\frac{\ln\left(x+1\right)}{6}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{36}-\frac{3^{1/6}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{36}+\frac{3^{1/6}\,1{}\mathrm{i}}{12}\right)","Not used",1,"(3^(2/3)*log(x + 3^(1/3)))/18 - log(x + 1)/6 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*(3^(2/3)/36 - (3^(1/6)*1i)/12) - log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(2/3)/36 + (3^(1/6)*1i)/12)","B"
165,1,110,112,0.225377,"\text{Not used}","int(1/(4*x^3 + x^6 + 3),x)","\frac{\ln\left(x+1\right)}{6}-\frac{3^{1/3}\,\ln\left(x+3^{1/3}\right)}{18}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{{\left(-1\right)}^{1/3}\,3^{1/3}\,\ln\left(x-{\left(-1\right)}^{1/3}\,3^{1/3}\right)}{18}-\frac{{\left(-1\right)}^{1/3}\,\ln\left(x+\frac{{\left(-1\right)}^{1/3}\,3^{1/3}}{2}+\frac{{\left(-1\right)}^{1/3}\,3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"log(x + 1)/6 - (3^(1/3)*log(x + 3^(1/3)))/18 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + ((-1)^(1/3)*3^(1/3)*log(x - (-1)^(1/3)*3^(1/3)))/18 - ((-1)^(1/3)*log(x + ((-1)^(1/3)*3^(1/3))/2 + ((-1)^(1/3)*3^(5/6)*1i)/2)*(3^(1/3) + 3^(5/6)*1i))/36","B"
166,1,119,119,1.379704,"\text{Not used}","int(1/(x^2*(4*x^3 + x^6 + 3)),x)","\frac{\ln\left(x+1\right)}{6}-\frac{3^{2/3}\,\ln\left(x+3^{1/3}\right)}{54}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\frac{1}{3\,x}-\frac{{\left(-1\right)}^{1/3}\,\ln\left(x-\frac{{\left(-1\right)}^{1/3}\,3^{1/3}}{2}-\frac{{\left(-1\right)}^{1/6}\,3^{5/6}}{2}+\frac{3^{1/3}}{2}\right)\,\left(3^{2/3}+3^{1/6}\,3{}\mathrm{i}\right)}{108}+\frac{{\left(-1\right)}^{1/3}\,3^{2/3}\,\ln\left(x+{\left(-1\right)}^{2/3}\,3^{1/3}\right)}{54}","Not used",1,"log(x + 1)/6 - (3^(2/3)*log(x + 3^(1/3)))/54 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - 1/(3*x) - ((-1)^(1/3)*log(x - ((-1)^(1/3)*3^(1/3))/2 - ((-1)^(1/6)*3^(5/6))/2 + 3^(1/3)/2)*(3^(2/3) + 3^(1/6)*3i))/108 + ((-1)^(1/3)*3^(2/3)*log(x + (-1)^(2/3)*3^(1/3)))/54","B"
167,1,118,119,1.361562,"\text{Not used}","int(1/(x^3*(4*x^3 + x^6 + 3)),x)","\frac{3^{1/3}\,\ln\left(x+3^{1/3}\right)}{54}-\frac{\ln\left(x+1\right)}{6}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\frac{1}{6\,x^2}-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{1/3}}{108}+\frac{3^{5/6}\,1{}\mathrm{i}}{108}\right)-\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{1/3}}{108}-\frac{3^{5/6}\,1{}\mathrm{i}}{108}\right)","Not used",1,"(3^(1/3)*log(x + 3^(1/3)))/54 - log(x + 1)/6 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - 1/(6*x^2) - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*(3^(1/3)/108 + (3^(5/6)*1i)/108) - log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(1/3)/108 - (3^(5/6)*1i)/108)","B"
168,1,124,126,0.188561,"\text{Not used}","int(1/(x^5*(4*x^3 + x^6 + 3)),x)","\frac{3^{2/3}\,\ln\left(x+3^{1/3}\right)}{162}-\frac{\ln\left(x+1\right)}{6}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{\frac{4\,x^3}{9}-\frac{1}{12}}{x^4}-\ln\left(x-\frac{3^{1/3}}{2}-\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{324}-\frac{3^{1/6}\,1{}\mathrm{i}}{108}\right)-\ln\left(x-\frac{3^{1/3}}{2}+\frac{3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3^{2/3}}{324}+\frac{3^{1/6}\,1{}\mathrm{i}}{108}\right)","Not used",1,"(3^(2/3)*log(x + 3^(1/3)))/162 - log(x + 1)/6 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + ((4*x^3)/9 - 1/12)/x^4 - log(x - 3^(1/3)/2 - (3^(5/6)*1i)/2)*(3^(2/3)/324 - (3^(1/6)*1i)/108) - log(x - 3^(1/3)/2 + (3^(5/6)*1i)/2)*(3^(2/3)/324 + (3^(1/6)*1i)/108)","B"
169,1,121,126,1.398779,"\text{Not used}","int(1/(x^6*(4*x^3 + x^6 + 3)),x)","\frac{\ln\left(x+1\right)}{6}-\frac{3^{1/3}\,\ln\left(x+3^{1/3}\right)}{162}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{\frac{2\,x^3}{9}-\frac{1}{15}}{x^5}+\frac{{\left(-1\right)}^{1/3}\,3^{1/3}\,\ln\left(x-{\left(-1\right)}^{1/3}\,3^{1/3}\right)}{162}-\frac{{\left(-1\right)}^{1/3}\,\ln\left(x+\frac{{\left(-1\right)}^{1/3}\,3^{1/3}}{2}+\frac{{\left(-1\right)}^{1/3}\,3^{5/6}\,1{}\mathrm{i}}{2}\right)\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{324}","Not used",1,"log(x + 1)/6 - (3^(1/3)*log(x + 3^(1/3)))/162 - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) + ((2*x^3)/9 - 1/15)/x^5 + ((-1)^(1/3)*3^(1/3)*log(x - (-1)^(1/3)*3^(1/3)))/162 - ((-1)^(1/3)*log(x + ((-1)^(1/3)*3^(1/3))/2 + ((-1)^(1/3)*3^(5/6)*1i)/2)*(3^(1/3) + 3^(5/6)*1i))/324","B"
170,1,320,412,1.821084,"\text{Not used}","int(x^6/(x^6 - x^3 + 1),x)","x+\frac{\ln\left(x+\frac{\left(-\frac{27}{2}+\frac{\sqrt{3}\,9{}\mathrm{i}}{2}\right)\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{54}\right)\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x-\frac{\left(\frac{27}{2}+\frac{\sqrt{3}\,9{}\mathrm{i}}{2}\right)\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{54}\right)\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)\,\left(\frac{3\,\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}^3}{16}-27\right)}{108}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)\,\left(\frac{3\,\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}^3}{16}+27\right)}{108}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,3^{5/6}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{5/6}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"x + (log(x + (((3^(1/2)*9i)/2 - 27/2)*(3^(1/2)*12i + 36)^(1/3))/54)*(3^(1/2)*12i + 36)^(1/3))/18 + (log(x - (((3^(1/2)*9i)/2 + 27/2)*(36 - 3^(1/2)*12i)^(1/3))/54)*(36 - 3^(1/2)*12i)^(1/3))/18 - (2^(2/3)*log(x - (2^(2/3)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) - 3^(5/6)*1i)*((3*(3^(1/2)*1i - 3)*(3^(1/3) - 3^(5/6)*1i)^3)/16 - 27))/108)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i)*((3*(3^(1/2)*1i + 3)*(3^(1/3) + 3^(5/6)*1i)^3)/16 + 27))/108)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*3^(5/6)*(3 - 3^(1/2)*1i)^(1/3)*1i)/6)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(5/6)*(3^(1/2)*1i + 3)^(1/3)*1i)/6)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36","B"
171,1,34,39,1.214282,"\text{Not used}","int(x^5/(x^6 - x^3 + 1),x)","\frac{\ln\left(x^6-x^3+1\right)}{6}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^3}{3}\right)}{9}","Not used",1,"log(x^6 - x^3 + 1)/6 - (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^3)/3))/9","B"
172,1,304,411,1.717479,"\text{Not used}","int(x^4/(x^6 - x^3 + 1),x)","\frac{\ln\left(x+\left(162\,x+\frac{27\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x-\left(162\,x+\frac{27\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}+\frac{2^{1/3}\,3^{1/6}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}-\frac{2^{1/3}\,3^{1/6}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x + (162*x + (27*(3^(1/2)*12i - 36)^(2/3))/4)*((3^(1/2)*1i)/486 - 1/162))*(3^(1/2)*12i - 36)^(1/3))/18 + (log(x - (162*x + (27*(- 3^(1/2)*12i - 36)^(2/3))/4)*((3^(1/2)*1i)/486 + 1/162))*(- 3^(1/2)*12i - 36)^(1/3))/18 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(- 3^(1/2)*1i - 3)^(2/3))/12 + (2^(1/3)*3^(1/6)*(- 3^(1/2)*1i - 3)^(2/3)*1i)/4)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(3^(1/2)*1i - 3)^(2/3))/12 - (2^(1/3)*3^(1/6)*(3^(1/2)*1i - 3)^(2/3)*1i)/4)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(- 3^(1/2)*1i - 3)^(2/3))/6)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(3^(1/2)*1i - 3)^(2/3))/6)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
173,1,327,411,1.839787,"\text{Not used}","int(x^3/(x^6 - x^3 + 1),x)","\frac{\ln\left(x+\frac{2^{2/3}\,3^{5/6}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x-\frac{2^{2/3}\,3^{5/6}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,3^{1/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{2}+\frac{2^{2/3}\,3^{1/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{4/3}}{12}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,3^{1/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{2}+\frac{2^{2/3}\,3^{1/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{4/3}}{12}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{1/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{4}-\frac{2^{2/3}\,3^{5/6}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{12}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{1/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{4}+\frac{2^{2/3}\,3^{5/6}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{12}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x + (2^(2/3)*3^(5/6)*(- 3^(1/2)*1i - 3)^(1/3)*1i)/6)*(- 3^(1/2)*12i - 36)^(1/3))/18 + (log(x - (2^(2/3)*3^(5/6)*(3^(1/2)*1i - 3)^(1/3)*1i)/6)*(3^(1/2)*12i - 36)^(1/3))/18 - (2^(2/3)*log(x + (2^(2/3)*3^(1/3)*(- 3^(1/2)*1i - 3)^(1/3))/2 + (2^(2/3)*3^(1/3)*(- 3^(1/2)*1i - 3)^(4/3))/12)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*3^(1/3)*(3^(1/2)*1i - 3)^(1/3))/2 + (2^(2/3)*3^(1/3)*(3^(1/2)*1i - 3)^(4/3))/12)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(1/3)*(- 3^(1/2)*1i - 3)^(1/3))/4 - (2^(2/3)*3^(5/6)*(- 3^(1/2)*1i - 3)^(1/3)*1i)/12)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(1/3)*(3^(1/2)*1i - 3)^(1/3))/4 + (2^(2/3)*3^(5/6)*(3^(1/2)*1i - 3)^(1/3)*1i)/12)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
174,1,20,23,1.217024,"\text{Not used}","int(x^2/(x^6 - x^3 + 1),x)","-\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^3}{3}\right)}{9}","Not used",1,"-(2*3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^3)/3))/9","B"
175,1,304,375,0.450905,"\text{Not used}","int(x/(x^6 - x^3 + 1),x)","\frac{\ln\left(x+\left(81\,x-\frac{27\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x-\left(81\,x-\frac{27\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}+\frac{2^{1/3}\,3^{1/6}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}-\frac{2^{1/3}\,3^{1/6}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x + (81*x - (27*(36 - 3^(1/2)*12i)^(2/3))/4)*((3^(1/2)*1i)/486 - 1/162))*(36 - 3^(1/2)*12i)^(1/3))/18 + (log(x - (81*x - (27*(3^(1/2)*12i + 36)^(2/3))/4)*((3^(1/2)*1i)/486 + 1/162))*(3^(1/2)*12i + 36)^(1/3))/18 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(3 - 3^(1/2)*1i)^(2/3))/12 + (2^(1/3)*3^(1/6)*(3 - 3^(1/2)*1i)^(2/3)*1i)/4)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(3^(1/2)*1i + 3)^(2/3))/12 - (2^(1/3)*3^(1/6)*(3^(1/2)*1i + 3)^(2/3)*1i)/4)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(3 - 3^(1/2)*1i)^(2/3))/6)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(3^(1/2)*1i + 3)^(2/3))/6)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
176,1,327,186,1.787808,"\text{Not used}","int(1/(x^6 - x^3 + 1),x)","\frac{\ln\left(x+\frac{2^{2/3}\,3^{1/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{4}-\frac{2^{2/3}\,3^{5/6}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{12}\right)\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x+\frac{2^{2/3}\,3^{1/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{4}+\frac{2^{2/3}\,3^{5/6}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{12}\right)\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{1/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{2}+\frac{2^{2/3}\,3^{1/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{4/3}}{12}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{1/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}}{2}+\frac{2^{2/3}\,3^{1/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{4/3}}{12}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,3^{5/6}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{5/6}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x + (2^(2/3)*3^(1/3)*(3 - 3^(1/2)*1i)^(1/3))/4 - (2^(2/3)*3^(5/6)*(3 - 3^(1/2)*1i)^(1/3)*1i)/12)*(36 - 3^(1/2)*12i)^(1/3))/18 + (log(x + (2^(2/3)*3^(1/3)*(3^(1/2)*1i + 3)^(1/3))/4 + (2^(2/3)*3^(5/6)*(3^(1/2)*1i + 3)^(1/3)*1i)/12)*(3^(1/2)*12i + 36)^(1/3))/18 - (2^(2/3)*log(x - (2^(2/3)*3^(1/3)*(3 - 3^(1/2)*1i)^(1/3))/2 + (2^(2/3)*3^(1/3)*(3 - 3^(1/2)*1i)^(4/3))/12)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(1/3)*(3^(1/2)*1i + 3)^(1/3))/2 + (2^(2/3)*3^(1/3)*(3^(1/2)*1i + 3)^(4/3))/12)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*3^(5/6)*(3 - 3^(1/2)*1i)^(1/3)*1i)/6)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(5/6)*(3^(1/2)*1i + 3)^(1/3)*1i)/6)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
177,1,36,41,1.231203,"\text{Not used}","int(1/(x*(x^6 - x^3 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^6-x^3+1\right)}{6}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^3}{3}\right)}{9}","Not used",1,"log(x) - log(x^6 - x^3 + 1)/6 - (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^3)/3))/9","B"
178,1,286,416,1.656343,"\text{Not used}","int(1/(x^2*(x^6 - x^3 + 1)),x)","\frac{\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{1}{x}+\frac{\ln\left(x-\frac{{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{12}\right)\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,{\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}^2}{24}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,{\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}^2}{24}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,{\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}^2}{24}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,{\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}^2}{24}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x - (2^(1/3)*3^(2/3)*(3^(1/2)*1i - 3)^(2/3))/6)*(3^(1/2)*12i - 36)^(1/3))/18 - 1/x + (log(x - (- 3^(1/2)*12i - 36)^(2/3)/12)*(- 3^(1/2)*12i - 36)^(1/3))/18 - (2^(2/3)*log(x - (2^(1/3)*(- 3^(1/2)*1i - 3)^(2/3)*(3^(1/3) - 3^(5/6)*1i)^2)/24)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*(- 3^(1/2)*1i - 3)^(2/3)*(3^(1/3) + 3^(5/6)*1i)^2)/24)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*(3^(1/2)*1i - 3)^(2/3)*(3^(1/3) - 3^(5/6)*1i)^2)/24)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*(3^(1/2)*1i - 3)^(2/3)*(3^(1/3) + 3^(5/6)*1i)^2)/24)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
179,1,324,418,1.717195,"\text{Not used}","int(1/(x^3*(x^6 - x^3 + 1)),x)","\frac{\ln\left(x-\frac{\left(-\frac{27}{2}+\frac{\sqrt{3}\,9{}\mathrm{i}}{2}\right)\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{54}\right)\,{\left(-36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(x+\frac{\left(\frac{27}{2}+\frac{\sqrt{3}\,9{}\mathrm{i}}{2}\right)\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{54}\right)\,{\left(-36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{1}{2\,x^2}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)\,\left(\frac{3\,\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}^3}{16}+27\right)}{108}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)\,\left(\frac{3\,\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}^3}{16}-27\right)}{108}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{2/3}\,3^{5/6}\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(-3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{2/3}\,3^{5/6}\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{6}\right)\,{\left(-3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log(x - (((3^(1/2)*9i)/2 - 27/2)*(- 3^(1/2)*12i - 36)^(1/3))/54)*(- 3^(1/2)*12i - 36)^(1/3))/18 + (log(x + (((3^(1/2)*9i)/2 + 27/2)*(3^(1/2)*12i - 36)^(1/3))/54)*(3^(1/2)*12i - 36)^(1/3))/18 - 1/(2*x^2) - (2^(2/3)*log(x - (2^(2/3)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i)*((3*(3^(1/2)*1i + 3)*(3^(1/3) + 3^(5/6)*1i)^3)/16 + 27))/108)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i)*((3*(3^(1/2)*1i - 3)*(3^(1/3) - 3^(5/6)*1i)^3)/16 - 27))/108)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(2/3)*3^(5/6)*(- 3^(1/2)*1i - 3)^(1/3)*1i)/6)*(- 3^(1/2)*1i - 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(2/3)*3^(5/6)*(3^(1/2)*1i - 3)^(1/3)*1i)/6)*(3^(1/2)*1i - 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36","B"
180,1,41,48,0.063932,"\text{Not used}","int(1/(x^4*(x^6 - x^3 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^6-x^3+1\right)}{6}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^3}{3}\right)}{9}-\frac{1}{3\,x^3}","Not used",1,"log(x) - log(x^6 - x^3 + 1)/6 + (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^3)/3))/9 - 1/(3*x^3)","B"
181,1,318,423,1.591591,"\text{Not used}","int(1/(x^5*(x^6 - x^3 + 1)),x)","\frac{\ln\left(-x+\left(162\,x+\frac{27\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(36+\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}+\frac{\ln\left(-x-\left(162\,x+\frac{27\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{162}+\frac{\sqrt{3}\,1{}\mathrm{i}}{486}\right)\right)\,{\left(36-\sqrt{3}\,12{}\mathrm{i}\right)}^{1/3}}{18}-\frac{x^3+\frac{1}{4}}{x^4}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}-\frac{2^{1/3}\,3^{1/6}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x+\frac{2^{1/3}\,3^{2/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{12}+\frac{2^{1/3}\,3^{1/6}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}\,1{}\mathrm{i}}{4}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(3-\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}+3^{5/6}\,1{}\mathrm{i}\right)}{36}-\frac{2^{2/3}\,\ln\left(x-\frac{2^{1/3}\,3^{2/3}\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{2/3}}{6}\right)\,{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/3}\,\left(3^{1/3}-3^{5/6}\,1{}\mathrm{i}\right)}{36}","Not used",1,"(log((162*x + (27*(3^(1/2)*12i + 36)^(2/3))/4)*((3^(1/2)*1i)/486 + 1/162) - x)*(3^(1/2)*12i + 36)^(1/3))/18 + (log(- x - (162*x + (27*(36 - 3^(1/2)*12i)^(2/3))/4)*((3^(1/2)*1i)/486 - 1/162))*(36 - 3^(1/2)*12i)^(1/3))/18 - (x^3 + 1/4)/x^4 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(3 - 3^(1/2)*1i)^(2/3))/12 - (2^(1/3)*3^(1/6)*(3 - 3^(1/2)*1i)^(2/3)*1i)/4)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36 - (2^(2/3)*log(x + (2^(1/3)*3^(2/3)*(3^(1/2)*1i + 3)^(2/3))/12 + (2^(1/3)*3^(1/6)*(3^(1/2)*1i + 3)^(2/3)*1i)/4)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(3 - 3^(1/2)*1i)^(2/3))/6)*(3 - 3^(1/2)*1i)^(1/3)*(3^(1/3) + 3^(5/6)*1i))/36 - (2^(2/3)*log(x - (2^(1/3)*3^(2/3)*(3^(1/2)*1i + 3)^(2/3))/6)*(3^(1/2)*1i + 3)^(1/3)*(3^(1/3) - 3^(5/6)*1i))/36","B"
182,1,513,381,2.614551,"\text{Not used}","int(1/(x^3 + x^6 + 2),x)","\frac{\ln\left(x+\frac{7^{1/3}\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{4}+\frac{7^{5/6}\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}\right)\,{\left(-49-\sqrt{7}\,21{}\mathrm{i}\right)}^{1/3}}{42}+\frac{\ln\left(x+\frac{7^{1/3}\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{4}-\frac{7^{5/6}\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}\right)\,{\left(-49+\sqrt{7}\,21{}\mathrm{i}\right)}^{1/3}}{42}+\frac{7^{1/3}\,\ln\left(6\,x+\frac{7^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,\left(\frac{7^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{2/3}\,\left(3969\,x+\frac{567\,7^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{2}\right)}{7056}+63\right)}{84}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{84}+\frac{7^{1/3}\,\ln\left(6\,x+\frac{7^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,\left(\frac{7^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{2/3}\,\left(3969\,x+\frac{567\,7^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{2}\right)}{7056}+63\right)}{84}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{84}-\frac{7^{1/3}\,\ln\left(6\,x-\frac{7^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,\left(\frac{7^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{2/3}\,\left(3969\,x-\frac{567\,7^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{2}\right)}{7056}+63\right)}{84}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{84}-\frac{7^{1/3}\,\ln\left(6\,x-\frac{7^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}\,\left(\frac{7^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{2/3}\,\left(3969\,x-\frac{567\,7^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{2}\right)}{7056}+63\right)}{84}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,3{}\mathrm{i}\right)}^{1/3}}{84}","Not used",1,"(log(x + (7^(1/3)*(- 7^(1/2)*3i - 7)^(1/3))/4 + (7^(5/6)*(- 7^(1/2)*3i - 7)^(1/3)*1i)/28)*(- 7^(1/2)*21i - 49)^(1/3))/42 + (log(x + (7^(1/3)*(7^(1/2)*3i - 7)^(1/3))/4 - (7^(5/6)*(7^(1/2)*3i - 7)^(1/3)*1i)/28)*(7^(1/2)*21i - 49)^(1/3))/42 + (7^(1/3)*log(6*x + (7^(1/3)*(3^(1/2)*1i - 1)*(- 7^(1/2)*3i - 7)^(1/3)*((7^(2/3)*(3^(1/2)*1i - 1)^2*(- 7^(1/2)*3i - 7)^(2/3)*(3969*x + (567*7^(1/3)*(3^(1/2)*1i - 1)*(- 7^(1/2)*3i - 7)^(1/3))/2))/7056 + 63))/84)*(3^(1/2)*1i - 1)*(- 7^(1/2)*3i - 7)^(1/3))/84 + (7^(1/3)*log(6*x + (7^(1/3)*(3^(1/2)*1i - 1)*(7^(1/2)*3i - 7)^(1/3)*((7^(2/3)*(3^(1/2)*1i - 1)^2*(7^(1/2)*3i - 7)^(2/3)*(3969*x + (567*7^(1/3)*(3^(1/2)*1i - 1)*(7^(1/2)*3i - 7)^(1/3))/2))/7056 + 63))/84)*(3^(1/2)*1i - 1)*(7^(1/2)*3i - 7)^(1/3))/84 - (7^(1/3)*log(6*x - (7^(1/3)*(3^(1/2)*1i + 1)*(- 7^(1/2)*3i - 7)^(1/3)*((7^(2/3)*(3^(1/2)*1i + 1)^2*(- 7^(1/2)*3i - 7)^(2/3)*(3969*x - (567*7^(1/3)*(3^(1/2)*1i + 1)*(- 7^(1/2)*3i - 7)^(1/3))/2))/7056 + 63))/84)*(3^(1/2)*1i + 1)*(- 7^(1/2)*3i - 7)^(1/3))/84 - (7^(1/3)*log(6*x - (7^(1/3)*(3^(1/2)*1i + 1)*(7^(1/2)*3i - 7)^(1/3)*((7^(2/3)*(3^(1/2)*1i + 1)^2*(7^(1/2)*3i - 7)^(2/3)*(3969*x - (567*7^(1/3)*(3^(1/2)*1i + 1)*(7^(1/2)*3i - 7)^(1/3))/2))/7056 + 63))/84)*(3^(1/2)*1i + 1)*(7^(1/2)*3i - 7)^(1/3))/84","B"
183,1,20,23,0.046206,"\text{Not used}","int(x^2/(x^3 + x^6 + 2),x)","\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{2\,\sqrt{7}\,x^3}{7}+\frac{\sqrt{7}}{7}\right)}{21}","Not used",1,"(2*7^(1/2)*atan(7^(1/2)/7 + (2*7^(1/2)*x^3)/7))/21","B"
184,1,351,399,2.613816,"\text{Not used}","int(x^3/(x^3 + x^6 + 2),x)","\frac{\ln\left(x-\frac{2^{2/3}\,7^{5/6}\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{14}\right)\,{\left(-196-\sqrt{7}\,28{}\mathrm{i}\right)}^{1/3}}{42}+\frac{2^{2/3}\,7^{1/3}\,\ln\left(x+\frac{2^{2/3}\,7^{5/6}\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{14}\right)\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{42}-\frac{2^{2/3}\,7^{1/3}\,\ln\left(x+\frac{2^{2/3}\,7^{5/6}\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}-\frac{2^{2/3}\,\sqrt{3}\,7^{5/6}\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{28}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{84}+\frac{2^{2/3}\,7^{1/3}\,\ln\left(x+\frac{2^{2/3}\,7^{5/6}\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}+\frac{2^{2/3}\,\sqrt{3}\,7^{5/6}\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{28}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7-\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{84}+\frac{2^{2/3}\,7^{1/3}\,\ln\left(x-\frac{2^{2/3}\,7^{5/6}\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}-\frac{2^{2/3}\,\sqrt{3}\,7^{5/6}\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{28}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{84}-\frac{2^{2/3}\,7^{1/3}\,\ln\left(x-\frac{2^{2/3}\,7^{5/6}\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}\,1{}\mathrm{i}}{28}+\frac{2^{2/3}\,\sqrt{3}\,7^{5/6}\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{28}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-7+\sqrt{7}\,1{}\mathrm{i}\right)}^{1/3}}{84}","Not used",1,"(log(x - (2^(2/3)*7^(5/6)*(- 7^(1/2)*1i - 7)^(1/3)*1i)/14)*(- 7^(1/2)*28i - 196)^(1/3))/42 + (2^(2/3)*7^(1/3)*log(x + (2^(2/3)*7^(5/6)*(7^(1/2)*1i - 7)^(1/3)*1i)/14)*(7^(1/2)*1i - 7)^(1/3))/42 - (2^(2/3)*7^(1/3)*log(x + (2^(2/3)*7^(5/6)*(- 7^(1/2)*1i - 7)^(1/3)*1i)/28 - (2^(2/3)*3^(1/2)*7^(5/6)*(- 7^(1/2)*1i - 7)^(1/3))/28)*(3^(1/2)*1i + 1)*(- 7^(1/2)*1i - 7)^(1/3))/84 + (2^(2/3)*7^(1/3)*log(x + (2^(2/3)*7^(5/6)*(- 7^(1/2)*1i - 7)^(1/3)*1i)/28 + (2^(2/3)*3^(1/2)*7^(5/6)*(- 7^(1/2)*1i - 7)^(1/3))/28)*(3^(1/2)*1i - 1)*(- 7^(1/2)*1i - 7)^(1/3))/84 + (2^(2/3)*7^(1/3)*log(x - (2^(2/3)*7^(5/6)*(7^(1/2)*1i - 7)^(1/3)*1i)/28 - (2^(2/3)*3^(1/2)*7^(5/6)*(7^(1/2)*1i - 7)^(1/3))/28)*(3^(1/2)*1i - 1)*(7^(1/2)*1i - 7)^(1/3))/84 - (2^(2/3)*7^(1/3)*log(x - (2^(2/3)*7^(5/6)*(7^(1/2)*1i - 7)^(1/3)*1i)/28 + (2^(2/3)*3^(1/2)*7^(5/6)*(7^(1/2)*1i - 7)^(1/3))/28)*(3^(1/2)*1i + 1)*(7^(1/2)*1i - 7)^(1/3))/84","B"
185,1,543,231,2.938775,"\text{Not used}","int(x^14*(a + b*x^3 + c*x^6)^(1/2),x)","\frac{x^9\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{18\,c}-\frac{b\,\left(\frac{x^6\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{5\,c}+\frac{7\,b\,\left(\frac{a\,\left(\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{4\,c}+\frac{5\,b\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{8\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{5\,c}\right)}{4\,c}+\frac{a\,\left(\frac{a\,\left(\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{4\,c}+\frac{5\,b\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{8\,c}\right)}{6\,c}","Not used",1,"(x^9*(a + b*x^3 + c*x^6)^(3/2))/(18*c) - (b*((x^6*(a + b*x^3 + c*x^6)^(3/2))/(5*c) + (7*b*((a*((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2) + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (x^3*(a + b*x^3 + c*x^6)^(3/2))/(4*c) + (5*b*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(8*c)))/(10*c) - (2*a*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(5*c)))/(4*c) + (a*((a*((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2) + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (x^3*(a + b*x^3 + c*x^6)^(3/2))/(4*c) + (5*b*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(8*c)))/(6*c)","B"
186,1,315,171,1.866090,"\text{Not used}","int(x^11*(a + b*x^3 + c*x^6)^(1/2),x)","\frac{x^6\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{15\,c}+\frac{7\,b\,\left(\frac{a\,\left(\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{4\,c}+\frac{5\,b\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{8\,c}\right)}{30\,c}-\frac{2\,a\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{15\,c}","Not used",1,"(x^6*(a + b*x^3 + c*x^6)^(3/2))/(15*c) + (7*b*((a*((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2) + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (x^3*(a + b*x^3 + c*x^6)^(3/2))/(4*c) + (5*b*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(8*c)))/(30*c) - (2*a*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(15*c)","B"
187,1,193,153,1.590944,"\text{Not used}","int(x^8*(a + b*x^3 + c*x^6)^(1/2),x)","\frac{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{12\,c}-\frac{a\,\left(\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{12\,c}-\frac{5\,b\,\left(\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{24\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}\right)}{24\,c}","Not used",1,"(x^3*(a + b*x^3 + c*x^6)^(3/2))/(12*c) - (a*((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2) + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(12*c) - (5*b*(((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(24*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))))/(24*c)","B"
188,1,87,108,1.390151,"\text{Not used}","int(x^5*(a + b*x^3 + c*x^6)^(1/2),x)","\frac{\left(8\,c\,\left(c\,x^6+a\right)-3\,b^2+2\,b\,c\,x^3\right)\,\sqrt{c\,x^6+b\,x^3+a}}{72\,c^2}+\frac{\ln\left(2\,\sqrt{c\,x^6+b\,x^3+a}+\frac{2\,c\,x^3+b}{\sqrt{c}}\right)\,\left(b^3-4\,a\,b\,c\right)}{48\,c^{5/2}}","Not used",1,"((8*c*(a + c*x^6) - 3*b^2 + 2*b*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(72*c^2) + (log(2*(a + b*x^3 + c*x^6)^(1/2) + (b + 2*c*x^3)/c^(1/2))*(b^3 - 4*a*b*c))/(48*c^(5/2))","B"
189,1,72,83,1.389983,"\text{Not used}","int(x^2*(a + b*x^3 + c*x^6)^(1/2),x)","\frac{\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}}{3}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{6\,c^{3/2}}","Not used",1,"((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2))/3 + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(6*c^(3/2))","B"
190,1,88,109,1.361841,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x,x)","\frac{\sqrt{c\,x^6+b\,x^3+a}}{3}-\frac{\sqrt{a}\,\ln\left(\frac{b}{2}+\frac{a}{x^3}+\frac{\sqrt{a}\,\sqrt{c\,x^6+b\,x^3+a}}{x^3}\right)}{3}+\frac{b\,\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)}{6\,\sqrt{c}}","Not used",1,"(a + b*x^3 + c*x^6)^(1/2)/3 - (a^(1/2)*log(b/2 + a/x^3 + (a^(1/2)*(a + b*x^3 + c*x^6)^(1/2))/x^3))/3 + (b*log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2)))/(6*c^(1/2))","B"
191,1,91,112,1.553470,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^4,x)","\frac{\sqrt{c}\,\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)}{3}-\frac{\sqrt{c\,x^6+b\,x^3+a}}{3\,x^3}-\frac{b\,\ln\left(\frac{b}{2}+\frac{a}{x^3}+\frac{\sqrt{a}\,\sqrt{c\,x^6+b\,x^3+a}}{x^3}\right)}{6\,\sqrt{a}}","Not used",1,"(c^(1/2)*log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2)))/3 - (a + b*x^3 + c*x^6)^(1/2)/(3*x^3) - (b*log(b/2 + a/x^3 + (a^(1/2)*(a + b*x^3 + c*x^6)^(1/2))/x^3))/(6*a^(1/2))","B"
192,0,-1,88,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^7,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^7} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^7, x)","F"
193,0,-1,116,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^10,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^{10}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^10, x)","F"
194,0,-1,161,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^13,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^{13}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^13, x)","F"
195,0,-1,199,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^16,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^{16}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^16, x)","F"
196,0,-1,140,0.000000,"\text{Not used}","int(x^3*(a + b*x^3 + c*x^6)^(1/2),x)","\int x^3\,\sqrt{c\,x^6+b\,x^3+a} \,d x","Not used",1,"int(x^3*(a + b*x^3 + c*x^6)^(1/2), x)","F"
197,0,-1,140,0.000000,"\text{Not used}","int(x*(a + b*x^3 + c*x^6)^(1/2),x)","\int x\,\sqrt{c\,x^6+b\,x^3+a} \,d x","Not used",1,"int(x*(a + b*x^3 + c*x^6)^(1/2), x)","F"
198,0,-1,135,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2),x)","\int \sqrt{c\,x^6+b\,x^3+a} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2), x)","F"
199,0,-1,138,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^2,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^2} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^2, x)","F"
200,0,-1,140,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(1/2)/x^3,x)","\int \frac{\sqrt{c\,x^6+b\,x^3+a}}{x^3} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(1/2)/x^3, x)","F"
201,0,-1,293,0.000000,"\text{Not used}","int(x^14*(a + b*x^3 + c*x^6)^(3/2),x)","\int x^{14}\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^14*(a + b*x^3 + c*x^6)^(3/2), x)","F"
202,0,-1,223,0.000000,"\text{Not used}","int(x^11*(a + b*x^3 + c*x^6)^(3/2),x)","\int x^{11}\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^11*(a + b*x^3 + c*x^6)^(3/2), x)","F"
203,0,-1,204,0.000000,"\text{Not used}","int(x^8*(a + b*x^3 + c*x^6)^(3/2),x)","\int x^8\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^8*(a + b*x^3 + c*x^6)^(3/2), x)","F"
204,1,223,150,1.575071,"\text{Not used}","int(x^5*(a + b*x^3 + c*x^6)^(3/2),x)","\frac{{\left(c\,x^6+b\,x^3+a\right)}^{5/2}}{15\,c}-\frac{b\,\left(\frac{3\,a\,\left(\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(\frac{a}{2\,\sqrt{c}}-\frac{b^2}{8\,c^{3/2}}\right)+\frac{\left(2\,c\,x^3+b\right)\,\sqrt{c\,x^6+b\,x^3+a}}{4\,c}\right)}{4}+\frac{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{4}-\frac{3\,b^2\,\left(\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(\frac{a}{2\,\sqrt{c}}-\frac{b^2}{8\,c^{3/2}}\right)+\frac{\left(2\,c\,x^3+b\right)\,\sqrt{c\,x^6+b\,x^3+a}}{4\,c}\right)}{16\,c}+\frac{b\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{8\,c}\right)}{6\,c}","Not used",1,"(a + b*x^3 + c*x^6)^(5/2)/(15*c) - (b*((3*a*(log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a/(2*c^(1/2)) - b^2/(8*c^(3/2))) + ((b + 2*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(4*c)))/4 + (x^3*(a + b*x^3 + c*x^6)^(3/2))/4 - (3*b^2*(log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a/(2*c^(1/2)) - b^2/(8*c^(3/2))) + ((b + 2*c*x^3)*(a + b*x^3 + c*x^6)^(1/2))/(4*c)))/(16*c) + (b*(a + b*x^3 + c*x^6)^(3/2))/(8*c)))/(6*c)","B"
205,1,115,124,1.443954,"\text{Not used}","int(x^2*(a + b*x^3 + c*x^6)^(3/2),x)","\frac{\left(c\,x^3+\frac{b}{2}\right)\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{12\,c}+\frac{\left(3\,a\,c-\frac{3\,b^2}{4}\right)\,\left(\left(\frac{b}{4\,c}+\frac{x^3}{2}\right)\,\sqrt{c\,x^6+b\,x^3+a}+\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{12\,c}","Not used",1,"((b/2 + c*x^3)*(a + b*x^3 + c*x^6)^(3/2))/(12*c) + ((3*a*c - (3*b^2)/4)*((b/(4*c) + x^3/2)*(a + b*x^3 + c*x^6)^(1/2) + (log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(12*c)","B"
206,0,-1,155,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x, x)","F"
207,0,-1,150,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^4,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^4, x)","F"
208,0,-1,151,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^7,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^7, x)","F"
209,0,-1,163,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^10,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^{10}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^10, x)","F"
210,0,-1,133,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^13,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^{13}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^13, x)","F"
211,0,-1,162,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^16,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^{16}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^16, x)","F"
212,0,-1,216,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^19,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^{19}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^19, x)","F"
213,0,-1,255,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^22,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^{22}} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^22, x)","F"
214,0,-1,141,0.000000,"\text{Not used}","int(x^3*(a + b*x^3 + c*x^6)^(3/2),x)","\int x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^3*(a + b*x^3 + c*x^6)^(3/2), x)","F"
215,0,-1,141,0.000000,"\text{Not used}","int(x*(a + b*x^3 + c*x^6)^(3/2),x)","\int x\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x^3 + c*x^6)^(3/2), x)","F"
216,0,-1,136,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2),x)","\int {\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2), x)","F"
217,0,-1,139,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^2,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^2, x)","F"
218,0,-1,141,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^(3/2)/x^3,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^(3/2)/x^3, x)","F"
219,0,-1,171,0.000000,"\text{Not used}","int(x^14/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{x^{14}}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(x^14/(a + b*x^3 + c*x^6)^(1/2), x)","F"
220,0,-1,121,0.000000,"\text{Not used}","int(x^11/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{x^{11}}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(x^11/(a + b*x^3 + c*x^6)^(1/2), x)","F"
221,0,-1,104,0.000000,"\text{Not used}","int(x^8/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{x^8}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(x^8/(a + b*x^3 + c*x^6)^(1/2), x)","F"
222,1,55,68,1.491572,"\text{Not used}","int(x^5/(a + b*x^3 + c*x^6)^(1/2),x)","\frac{\sqrt{c\,x^6+b\,x^3+a}}{3\,c}-\frac{b\,\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)}{6\,c^{3/2}}","Not used",1,"(a + b*x^3 + c*x^6)^(1/2)/(3*c) - (b*log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2)))/(6*c^(3/2))","B"
223,1,34,43,1.575271,"\text{Not used}","int(x^2/(a + b*x^3 + c*x^6)^(1/2),x)","\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)}{3\,\sqrt{c}}","Not used",1,"log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))/(3*c^(1/2))","B"
224,1,36,44,1.570577,"\text{Not used}","int(1/(x*(a + b*x^3 + c*x^6)^(1/2)),x)","-\frac{\ln\left(\frac{b}{2}+\frac{a}{x^3}+\frac{\sqrt{a}\,\sqrt{c\,x^6+b\,x^3+a}}{x^3}\right)}{3\,\sqrt{a}}","Not used",1,"-log(b/2 + a/x^3 + (a^(1/2)*(a + b*x^3 + c*x^6)^(1/2))/x^3)/(3*a^(1/2))","B"
225,1,56,72,1.560119,"\text{Not used}","int(1/(x^4*(a + b*x^3 + c*x^6)^(1/2)),x)","\frac{b\,\mathrm{atanh}\left(\frac{\frac{b\,x^3}{2}+a}{\sqrt{a}\,\sqrt{c\,x^6+b\,x^3+a}}\right)}{6\,a^{3/2}}-\frac{\sqrt{c\,x^6+b\,x^3+a}}{3\,a\,x^3}","Not used",1,"(b*atanh((a + (b*x^3)/2)/(a^(1/2)*(a + b*x^3 + c*x^6)^(1/2))))/(6*a^(3/2)) - (a + b*x^3 + c*x^6)^(1/2)/(3*a*x^3)","B"
226,0,-1,108,0.000000,"\text{Not used}","int(1/(x^7*(a + b*x^3 + c*x^6)^(1/2)),x)","\int \frac{1}{x^7\,\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(x^7*(a + b*x^3 + c*x^6)^(1/2)), x)","F"
227,0,-1,145,0.000000,"\text{Not used}","int(1/(x^10*(a + b*x^3 + c*x^6)^(1/2)),x)","\int \frac{1}{x^{10}\,\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(x^10*(a + b*x^3 + c*x^6)^(1/2)), x)","F"
228,0,-1,192,0.000000,"\text{Not used}","int(1/(x^13*(a + b*x^3 + c*x^6)^(1/2)),x)","\int \frac{1}{x^{13}\,\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(x^13*(a + b*x^3 + c*x^6)^(1/2)), x)","F"
229,0,-1,140,0.000000,"\text{Not used}","int(x^3/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{x^3}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(x^3/(a + b*x^3 + c*x^6)^(1/2), x)","F"
230,0,-1,140,0.000000,"\text{Not used}","int(x/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{x}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(x/(a + b*x^3 + c*x^6)^(1/2), x)","F"
231,0,-1,135,0.000000,"\text{Not used}","int(1/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{1}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(a + b*x^3 + c*x^6)^(1/2), x)","F"
232,0,-1,138,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^3 + c*x^6)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^3 + c*x^6)^(1/2)), x)","F"
233,0,-1,140,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^3 + c*x^6)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^3 + c*x^6)^(1/2)), x)","F"
234,0,-1,195,0.000000,"\text{Not used}","int(x^14/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{x^{14}}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^14/(a + b*x^3 + c*x^6)^(3/2), x)","F"
235,0,-1,137,0.000000,"\text{Not used}","int(x^11/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{x^{11}}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^11/(a + b*x^3 + c*x^6)^(3/2), x)","F"
236,1,84,120,1.657746,"\text{Not used}","int(x^8/(a + b*x^3 + c*x^6)^(3/2),x)","\frac{\ln\left(\sqrt{c\,x^6+b\,x^3+a}+\frac{c\,x^3+\frac{b}{2}}{\sqrt{c}}\right)}{3\,c^{3/2}}+\frac{\frac{a\,b}{2}-x^3\,\left(a\,c-\frac{b^2}{2}\right)}{3\,c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^6+b\,x^3+a}}","Not used",1,"log((a + b*x^3 + c*x^6)^(1/2) + (b/2 + c*x^3)/c^(1/2))/(3*c^(3/2)) + ((a*b)/2 - x^3*(a*c - b^2/2))/(3*c*(a*c - b^2/4)*(a + b*x^3 + c*x^6)^(1/2))","B"
237,1,38,39,1.429425,"\text{Not used}","int(x^5/(a + b*x^3 + c*x^6)^(3/2),x)","-\frac{2\,b\,x^3+4\,a}{\left(12\,a\,c-3\,b^2\right)\,\sqrt{c\,x^6+b\,x^3+a}}","Not used",1,"-(4*a + 2*b*x^3)/((12*a*c - 3*b^2)*(a + b*x^3 + c*x^6)^(1/2))","B"
238,1,37,38,1.370433,"\text{Not used}","int(x^2/(a + b*x^3 + c*x^6)^(3/2),x)","\frac{4\,c\,x^3+2\,b}{\left(12\,a\,c-3\,b^2\right)\,\sqrt{c\,x^6+b\,x^3+a}}","Not used",1,"(2*b + 4*c*x^3)/((12*a*c - 3*b^2)*(a + b*x^3 + c*x^6)^(1/2))","B"
239,0,-1,92,0.000000,"\text{Not used}","int(1/(x*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
240,0,-1,142,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x^4\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
241,0,-1,198,0.000000,"\text{Not used}","int(1/(x^7*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x^7\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^7*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
242,0,-1,256,0.000000,"\text{Not used}","int(1/(x^10*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x^{10}\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^10*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
243,0,-1,143,0.000000,"\text{Not used}","int(x^3/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{x^3}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a + b*x^3 + c*x^6)^(3/2), x)","F"
244,0,-1,143,0.000000,"\text{Not used}","int(x/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{x}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x/(a + b*x^3 + c*x^6)^(3/2), x)","F"
245,0,-1,138,0.000000,"\text{Not used}","int(1/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{1}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*x^3 + c*x^6)^(3/2), x)","F"
246,0,-1,141,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x^2\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
247,0,-1,143,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^3 + c*x^6)^(3/2)),x)","\int \frac{1}{x^3\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^3 + c*x^6)^(3/2)), x)","F"
248,1,260,101,1.523929,"\text{Not used}","int((d*x)^m*(a + b*x^3 + c*x^6)^2,x)","{\left(d\,x\right)}^m\,\left(\frac{c^2\,x^{13}\,\left(m^4+22\,m^3+159\,m^2+418\,m+280\right)}{m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640}+\frac{x^7\,\left(b^2+2\,a\,c\right)\,\left(m^4+28\,m^3+249\,m^2+742\,m+520\right)}{m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640}+\frac{a^2\,x\,\left(m^4+34\,m^3+411\,m^2+2074\,m+3640\right)}{m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640}+\frac{2\,a\,b\,x^4\,\left(m^4+31\,m^3+321\,m^2+1201\,m+910\right)}{m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640}+\frac{2\,b\,c\,x^{10}\,\left(m^4+25\,m^3+195\,m^2+535\,m+364\right)}{m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640}\right)","Not used",1,"(d*x)^m*((c^2*x^13*(418*m + 159*m^2 + 22*m^3 + m^4 + 280))/(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640) + (x^7*(2*a*c + b^2)*(742*m + 249*m^2 + 28*m^3 + m^4 + 520))/(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640) + (a^2*x*(2074*m + 411*m^2 + 34*m^3 + m^4 + 3640))/(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640) + (2*a*b*x^4*(1201*m + 321*m^2 + 31*m^3 + m^4 + 910))/(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640) + (2*b*c*x^10*(535*m + 195*m^2 + 25*m^3 + m^4 + 364))/(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640))","B"
249,1,89,52,1.358184,"\text{Not used}","int((d*x)^m*(a + b*x^3 + c*x^6),x)","{\left(d\,x\right)}^m\,\left(\frac{b\,x^4\,\left(m^2+8\,m+7\right)}{m^3+12\,m^2+39\,m+28}+\frac{c\,x^7\,\left(m^2+5\,m+4\right)}{m^3+12\,m^2+39\,m+28}+\frac{a\,x\,\left(m^2+11\,m+28\right)}{m^3+12\,m^2+39\,m+28}\right)","Not used",1,"(d*x)^m*((b*x^4*(8*m + m^2 + 7))/(39*m + 12*m^2 + m^3 + 28) + (c*x^7*(5*m + m^2 + 4))/(39*m + 12*m^2 + m^3 + 28) + (a*x*(11*m + m^2 + 28))/(39*m + 12*m^2 + m^3 + 28))","B"
250,0,-1,173,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^3 + c*x^6),x)","\int \frac{{\left(d\,x\right)}^m}{c\,x^6+b\,x^3+a} \,d x","Not used",1,"int((d*x)^m/(a + b*x^3 + c*x^6), x)","F"
251,0,-1,315,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^3 + c*x^6)^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(c\,x^6+b\,x^3+a\right)}^2} \,d x","Not used",1,"int((d*x)^m/(a + b*x^3 + c*x^6)^2, x)","F"
252,0,-1,158,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^3 + c*x^6)^(3/2),x)","\int {\left(d\,x\right)}^m\,{\left(c\,x^6+b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int((d*x)^m*(a + b*x^3 + c*x^6)^(3/2), x)","F"
253,0,-1,157,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^3 + c*x^6)^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{c\,x^6+b\,x^3+a} \,d x","Not used",1,"int((d*x)^m*(a + b*x^3 + c*x^6)^(1/2), x)","F"
254,0,-1,157,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^3 + c*x^6)^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{c\,x^6+b\,x^3+a}} \,d x","Not used",1,"int((d*x)^m/(a + b*x^3 + c*x^6)^(1/2), x)","F"
255,0,-1,160,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^3 + c*x^6)^(3/2),x)","\int \frac{{\left(d\,x\right)}^m}{{\left(c\,x^6+b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m/(a + b*x^3 + c*x^6)^(3/2), x)","F"
256,0,-1,155,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^3 + c*x^6)^p,x)","\int {\left(d\,x\right)}^m\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int((d*x)^m*(a + b*x^3 + c*x^6)^p, x)","F"
257,0,-1,224,0.000000,"\text{Not used}","int(x^8*(a + b*x^3 + c*x^6)^p,x)","\int x^8\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x^8*(a + b*x^3 + c*x^6)^p, x)","F"
258,0,-1,161,0.000000,"\text{Not used}","int(x^5*(a + b*x^3 + c*x^6)^p,x)","\int x^5\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x^5*(a + b*x^3 + c*x^6)^p, x)","F"
259,0,-1,130,0.000000,"\text{Not used}","int(x^2*(a + b*x^3 + c*x^6)^p,x)","\int x^2\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x^2*(a + b*x^3 + c*x^6)^p, x)","F"
260,0,-1,138,0.000000,"\text{Not used}","int(x^4*(a + b*x^3 + c*x^6)^p,x)","\int x^4\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x^4*(a + b*x^3 + c*x^6)^p, x)","F"
261,0,-1,138,0.000000,"\text{Not used}","int(x^3*(a + b*x^3 + c*x^6)^p,x)","\int x^3\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x^3*(a + b*x^3 + c*x^6)^p, x)","F"
262,0,-1,138,0.000000,"\text{Not used}","int(x*(a + b*x^3 + c*x^6)^p,x)","\int x\,{\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int(x*(a + b*x^3 + c*x^6)^p, x)","F"
263,0,-1,133,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p,x)","\int {\left(c\,x^6+b\,x^3+a\right)}^p \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p, x)","F"
264,0,-1,157,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x, x)","F"
265,0,-1,136,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^2,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^2, x)","F"
266,0,-1,138,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^3,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^3} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^3, x)","F"
267,0,-1,164,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^4,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^4} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^4, x)","F"
268,0,-1,138,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^5,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^5} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^5, x)","F"
269,0,-1,138,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^6,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^6} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^6, x)","F"
270,0,-1,168,0.000000,"\text{Not used}","int((a + b*x^3 + c*x^6)^p/x^7,x)","\int \frac{{\left(c\,x^6+b\,x^3+a\right)}^p}{x^7} \,d x","Not used",1,"int((a + b*x^3 + c*x^6)^p/x^7, x)","F"
271,0,-1,32,0.000000,"\text{Not used}","int(x^m/(2*x^4 + x^8 + 1),x)","\int \frac{x^m}{x^8+2\,x^4+1} \,d x","Not used",1,"int(x^m/(2*x^4 + x^8 + 1), x)","F"
272,1,25,30,0.046532,"\text{Not used}","int(x^9/(2*x^4 + x^8 + 1),x)","\frac{x^2}{4\,\left(x^4+1\right)}-\frac{3\,\mathrm{atan}\left(x^2\right)}{4}+\frac{x^2}{2}","Not used",1,"x^2/(4*(x^4 + 1)) - (3*atan(x^2))/4 + x^2/2","B"
273,1,18,22,1.315381,"\text{Not used}","int(x^7/(2*x^4 + x^8 + 1),x)","\frac{\ln\left(x^4+1\right)}{4}+\frac{1}{4\,\left(x^4+1\right)}","Not used",1,"log(x^4 + 1)/4 + 1/(4*(x^4 + 1))","B"
274,1,21,23,1.365299,"\text{Not used}","int(x^5/(2*x^4 + x^8 + 1),x)","\frac{\mathrm{atan}\left(x^2\right)}{4}-\frac{x^2}{4\,\left(x^4+1\right)}","Not used",1,"atan(x^2)/4 - x^2/(4*(x^4 + 1))","B"
275,1,11,11,0.017563,"\text{Not used}","int(x^3/(2*x^4 + x^8 + 1),x)","-\frac{1}{4\,\left(x^4+1\right)}","Not used",1,"-1/(4*(x^4 + 1))","B"
276,1,20,23,0.025584,"\text{Not used}","int(x/(2*x^4 + x^8 + 1),x)","\frac{\mathrm{atan}\left(x^2\right)}{4}+\frac{x^2}{4\,\left(x^4+1\right)}","Not used",1,"atan(x^2)/4 + x^2/(4*(x^4 + 1))","B"
277,1,20,24,0.043949,"\text{Not used}","int(1/(x*(2*x^4 + x^8 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^4+1\right)}{4}+\frac{1}{4\,\left(x^4+1\right)}","Not used",1,"log(x) - log(x^4 + 1)/4 + 1/(4*(x^4 + 1))","B"
278,1,25,30,0.039677,"\text{Not used}","int(1/(x^3*(2*x^4 + x^8 + 1)),x)","-\frac{3\,\mathrm{atan}\left(x^2\right)}{4}-\frac{\frac{3\,x^4}{4}+\frac{1}{2}}{x^6+x^2}","Not used",1,"- (3*atan(x^2))/4 - ((3*x^4)/4 + 1/2)/(x^2 + x^6)","B"
279,1,31,33,0.053769,"\text{Not used}","int(1/(x^5*(2*x^4 + x^8 + 1)),x)","\frac{\ln\left(x^4+1\right)}{2}-2\,\ln\left(x\right)-\frac{\frac{x^4}{2}+\frac{1}{4}}{x^8+x^4}","Not used",1,"log(x^4 + 1)/2 - 2*log(x) - (x^4/2 + 1/4)/(x^4 + x^8)","B"
280,1,30,37,0.045715,"\text{Not used}","int(1/(x^7*(2*x^4 + x^8 + 1)),x)","\frac{5\,\mathrm{atan}\left(x^2\right)}{4}+\frac{\frac{5\,x^8}{4}+\frac{5\,x^4}{6}-\frac{1}{6}}{x^6\,\left(x^4+1\right)}","Not used",1,"(5*atan(x^2))/4 + ((5*x^4)/6 + (5*x^8)/4 - 1/6)/(x^6*(x^4 + 1))","B"
281,1,45,104,1.368885,"\text{Not used}","int(x^8/(2*x^4 + x^8 + 1),x)","x+\frac{x}{4\,\left(x^4+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{16}-\frac{5}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{16}+\frac{5}{16}{}\mathrm{i}\right)","Not used",1,"x - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(5/16 + 5i/16) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(5/16 - 5i/16) + x/(4*(x^4 + 1))","B"
282,1,47,99,1.325617,"\text{Not used}","int(x^6/(2*x^4 + x^8 + 1),x)","-\frac{x^3}{4\,\left(x^4+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{16}-\frac{3}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{16}+\frac{3}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(3/16 - 3i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(3/16 + 3i/16) - x^3/(4*(x^4 + 1))","B"
283,1,45,97,0.082088,"\text{Not used}","int(x^4/(2*x^4 + x^8 + 1),x)","-\frac{x}{4\,\left(x^4+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/16 + 1i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/16 - 1i/16) - x/(4*(x^4 + 1))","B"
284,1,46,99,0.045298,"\text{Not used}","int(x^2/(2*x^4 + x^8 + 1),x)","\frac{x^3}{4\,\left(x^4+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/16 - 1i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/16 + 1i/16) + x^3/(4*(x^4 + 1))","B"
285,1,44,97,1.305354,"\text{Not used}","int(1/(2*x^4 + x^8 + 1),x)","\frac{x}{4\,\left(x^4+1\right)}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{16}+\frac{3}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{16}-\frac{3}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(3/16 + 3i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(3/16 - 3i/16) + x/(4*(x^4 + 1))","B"
286,1,49,106,1.314120,"\text{Not used}","int(1/(x^2*(2*x^4 + x^8 + 1)),x)","-\frac{\frac{5\,x^4}{4}+1}{x^5+x}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{16}+\frac{5}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{16}-\frac{5}{16}{}\mathrm{i}\right)","Not used",1,"- ((5*x^4)/4 + 1)/(x + x^5) - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(5/16 - 5i/16) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(5/16 + 5i/16)","B"
287,1,51,106,1.364948,"\text{Not used}","int(1/(x^4*(2*x^4 + x^8 + 1)),x)","-\frac{\frac{7\,x^4}{12}+\frac{1}{3}}{x^7+x^3}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{7}{16}-\frac{7}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{7}{16}+\frac{7}{16}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(7/16 + 7i/16) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(7/16 - 7i/16) - ((7*x^4)/12 + 1/3)/(x^3 + x^7)","B"
288,1,55,113,0.092859,"\text{Not used}","int(1/(x^6*(2*x^4 + x^8 + 1)),x)","\frac{\frac{9\,x^8}{4}+\frac{9\,x^4}{5}-\frac{1}{5}}{x^9+x^5}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{9}{16}-\frac{9}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{9}{16}+\frac{9}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(9/16 - 9i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(9/16 + 9i/16) + ((9*x^4)/5 + (9*x^8)/4 - 1/5)/(x^5 + x^9)","B"
289,1,55,113,0.103609,"\text{Not used}","int(1/(x^8*(2*x^4 + x^8 + 1)),x)","\frac{\frac{11\,x^8}{12}+\frac{11\,x^4}{21}-\frac{1}{7}}{x^{11}+x^7}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{11}{16}+\frac{11}{16}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{11}{16}-\frac{11}{16}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(11/16 + 11i/16) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(11/16 - 11i/16) + ((11*x^4)/21 + (11*x^8)/12 - 1/7)/(x^7 + x^11)","B"
290,0,-1,30,0.000000,"\text{Not used}","int(x^m/(x^8 - 2*x^4 + 1),x)","\int \frac{x^m}{x^8-2\,x^4+1} \,d x","Not used",1,"int(x^m/(x^8 - 2*x^4 + 1), x)","F"
291,1,26,32,0.046986,"\text{Not used}","int(x^9/(x^8 - 2*x^4 + 1),x)","\frac{x^2}{2}-\frac{x^2}{4\,\left(x^4-1\right)}-\frac{3\,\mathrm{atanh}\left(x^2\right)}{4}","Not used",1,"x^2/2 - x^2/(4*(x^4 - 1)) - (3*atanh(x^2))/4","B"
292,1,20,26,0.047645,"\text{Not used}","int(x^7/(x^8 - 2*x^4 + 1),x)","\frac{\ln\left(x^4-1\right)}{4}-\frac{1}{4\,\left(x^4-1\right)}","Not used",1,"log(x^4 - 1)/4 - 1/(4*(x^4 - 1))","B"
293,1,21,25,1.268765,"\text{Not used}","int(x^5/(x^8 - 2*x^4 + 1),x)","-\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{x^2}{4\,\left(x^4-1\right)}","Not used",1,"- atanh(x^2)/4 - x^2/(4*(x^4 - 1))","B"
294,1,11,13,0.021556,"\text{Not used}","int(x^3/(x^8 - 2*x^4 + 1),x)","-\frac{1}{4\,\left(x^4-1\right)}","Not used",1,"-1/(4*(x^4 - 1))","B"
295,1,21,25,0.034973,"\text{Not used}","int(x/(x^8 - 2*x^4 + 1),x)","\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{x^2}{4\,\left(x^4-1\right)}","Not used",1,"atanh(x^2)/4 - x^2/(4*(x^4 - 1))","B"
296,1,22,28,0.058235,"\text{Not used}","int(1/(x*(x^8 - 2*x^4 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^4-1\right)}{4}-\frac{1}{4\,\left(x^4-1\right)}","Not used",1,"log(x) - log(x^4 - 1)/4 - 1/(4*(x^4 - 1))","B"
297,1,26,32,0.043789,"\text{Not used}","int(1/(x^3*(x^8 - 2*x^4 + 1)),x)","\frac{3\,\mathrm{atanh}\left(x^2\right)}{4}+\frac{\frac{3\,x^4}{4}-\frac{1}{2}}{x^2-x^6}","Not used",1,"(3*atanh(x^2))/4 + ((3*x^4)/4 - 1/2)/(x^2 - x^6)","B"
298,1,32,37,0.051821,"\text{Not used}","int(1/(x^5*(x^8 - 2*x^4 + 1)),x)","2\,\ln\left(x\right)-\frac{\ln\left(x^4-1\right)}{2}+\frac{\frac{x^4}{2}-\frac{1}{4}}{x^4-x^8}","Not used",1,"2*log(x) - log(x^4 - 1)/2 + (x^4/2 - 1/4)/(x^4 - x^8)","B"
299,1,32,39,0.050556,"\text{Not used}","int(1/(x^7*(x^8 - 2*x^4 + 1)),x)","\frac{5\,\mathrm{atanh}\left(x^2\right)}{4}-\frac{-\frac{5\,x^8}{4}+\frac{5\,x^4}{6}+\frac{1}{6}}{x^6-x^{10}}","Not used",1,"(5*atanh(x^2))/4 - ((5*x^4)/6 - (5*x^8)/4 + 1/6)/(x^6 - x^10)","B"
300,1,26,34,1.285452,"\text{Not used}","int(x^8/(x^8 - 2*x^4 + 1),x)","x-\frac{5\,\mathrm{atan}\left(x\right)}{8}-\frac{x}{4\,\left(x^4-1\right)}+\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{8}","Not used",1,"x + (atan(x*1i)*5i)/8 - (5*atan(x))/8 - x/(4*(x^4 - 1))","B"
301,1,23,29,0.033699,"\text{Not used}","int(x^6/(x^8 - 2*x^4 + 1),x)","\frac{3\,\mathrm{atan}\left(x\right)}{8}-\frac{3\,\mathrm{atanh}\left(x\right)}{8}-\frac{x^3}{4\,\left(x^4-1\right)}","Not used",1,"(3*atan(x))/8 - (3*atanh(x))/8 - x^3/(4*(x^4 - 1))","B"
302,1,21,27,0.033792,"\text{Not used}","int(x^4/(x^8 - 2*x^4 + 1),x)","-\frac{\mathrm{atan}\left(x\right)}{8}-\frac{\mathrm{atanh}\left(x\right)}{8}-\frac{x}{4\,\left(x^4-1\right)}","Not used",1,"- atan(x)/8 - atanh(x)/8 - x/(4*(x^4 - 1))","B"
303,1,23,29,0.031893,"\text{Not used}","int(x^2/(x^8 - 2*x^4 + 1),x)","\frac{\mathrm{atanh}\left(x\right)}{8}-\frac{\mathrm{atan}\left(x\right)}{8}-\frac{x^3}{4\,\left(x^4-1\right)}","Not used",1,"atanh(x)/8 - atan(x)/8 - x^3/(4*(x^4 - 1))","B"
304,1,21,27,0.028632,"\text{Not used}","int(1/(x^8 - 2*x^4 + 1),x)","\frac{3\,\mathrm{atan}\left(x\right)}{8}+\frac{3\,\mathrm{atanh}\left(x\right)}{8}-\frac{x}{4\,\left(x^4-1\right)}","Not used",1,"(3*atan(x))/8 + (3*atanh(x))/8 - x/(4*(x^4 - 1))","B"
305,1,26,36,0.042180,"\text{Not used}","int(1/(x^2*(x^8 - 2*x^4 + 1)),x)","\frac{5\,\mathrm{atanh}\left(x\right)}{8}-\frac{5\,\mathrm{atan}\left(x\right)}{8}+\frac{\frac{5\,x^4}{4}-1}{x-x^5}","Not used",1,"(5*atanh(x))/8 - (5*atan(x))/8 + ((5*x^4)/4 - 1)/(x - x^5)","B"
306,1,28,36,1.292406,"\text{Not used}","int(1/(x^4*(x^8 - 2*x^4 + 1)),x)","\frac{7\,\mathrm{atan}\left(x\right)}{8}+\frac{7\,\mathrm{atanh}\left(x\right)}{8}+\frac{\frac{7\,x^4}{12}-\frac{1}{3}}{x^3-x^7}","Not used",1,"(7*atan(x))/8 + (7*atanh(x))/8 + ((7*x^4)/12 - 1/3)/(x^3 - x^7)","B"
307,1,34,43,0.044256,"\text{Not used}","int(1/(x^6*(x^8 - 2*x^4 + 1)),x)","\frac{9\,\mathrm{atanh}\left(x\right)}{8}-\frac{9\,\mathrm{atan}\left(x\right)}{8}-\frac{-\frac{9\,x^8}{4}+\frac{9\,x^4}{5}+\frac{1}{5}}{x^5-x^9}","Not used",1,"(9*atanh(x))/8 - (9*atan(x))/8 - ((9*x^4)/5 - (9*x^8)/4 + 1/5)/(x^5 - x^9)","B"
308,1,34,43,0.046894,"\text{Not used}","int(1/(x^8*(x^8 - 2*x^4 + 1)),x)","\frac{11\,\mathrm{atan}\left(x\right)}{8}+\frac{11\,\mathrm{atanh}\left(x\right)}{8}-\frac{-\frac{11\,x^8}{12}+\frac{11\,x^4}{21}+\frac{1}{7}}{x^7-x^{11}}","Not used",1,"(11*atan(x))/8 + (11*atanh(x))/8 - ((11*x^4)/21 - (11*x^8)/12 + 1/7)/(x^7 - x^11)","B"
309,0,-1,163,0.000000,"\text{Not used}","int(x^m/(a + b*x^4 + c*x^8),x)","\int \frac{x^m}{c\,x^8+b\,x^4+a} \,d x","Not used",1,"int(x^m/(a + b*x^4 + c*x^8), x)","F"
310,1,3916,81,2.687415,"\text{Not used}","int(x^11/(a + b*x^4 + c*x^8),x)","\frac{x^4}{4\,c}+\frac{\ln\left(c\,x^8+b\,x^4+a\right)\,\left(4\,b^3-16\,a\,b\,c\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}-\frac{\mathrm{atan}\left(\frac{8\,c^4\,x^4\,\left(\frac{\left(a\,c-b^2\right)\,\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{32\,b^3\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{4\,b^3\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{\left(4\,a\,c-b^2\right)\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{32\,b^3\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{96\,a^2\,b\,c^6-240\,a\,b^3\,c^5+144\,b^5\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(\frac{8\,a^3\,c^5-36\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-20\,b^6\,c^2}{c^4}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{96\,a^2\,b\,c^6-240\,a\,b^3\,c^5+144\,b^5\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^3\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3}{2\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,a^3\,c^2}-\frac{\left(b^3-3\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{8\,a^3\,c^5-36\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-20\,b^6\,c^2}{c^4}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{96\,a^2\,b\,c^6-240\,a\,b^3\,c^5+144\,b^5\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}-\frac{-a^3\,b\,c^3+3\,a^2\,b^3\,c^2-3\,a\,b^5\,c+b^7}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{32\,b^3\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{4\,b^3\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{\left(4\,a\,c-b^2\right)\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{32\,b^3\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{96\,a^2\,b\,c^6-240\,a\,b^3\,c^5+144\,b^5\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,b^4\,c^6-384\,a\,b^2\,c^7}{c^4}+\frac{256\,b^3\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{b^3\,{\left(2\,a\,c-b^2\right)}^4}{8\,c^4\,{\left(4\,a\,c-b^2\right)}^2}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}}\right)\,{\left(4\,a\,c-b^2\right)}^2}{16\,a^4\,c^4-32\,a^3\,b^2\,c^3+24\,a^2\,b^4\,c^2-8\,a\,b^6\,c+b^8}-\frac{c^2\,\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{64\,a\,b^2\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(\frac{64\,a^3\,c^6-256\,a^2\,b^2\,c^5+208\,a\,b^4\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{16\,a^3\,b\,c^4-40\,a^2\,b^3\,c^3+24\,a\,b^5\,c^2}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{64\,a^3\,c^6-256\,a^2\,b^2\,c^5+208\,a\,b^4\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{64\,a\,b^2\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{8\,a\,b^2\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{\left(4\,a\,c-b^2\right)\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{a\,b^2\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{a^3\,\left(16\,a^4\,c^4-32\,a^3\,b^2\,c^3+24\,a^2\,b^4\,c^2-8\,a\,b^6\,c+b^8\right)}+\frac{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(b^3-3\,a\,b\,c\right)\,\left(\frac{a^3\,b^2\,c^2-2\,a^2\,b^4\,c+a\,b^6}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{16\,a^3\,b\,c^4-40\,a^2\,b^3\,c^3+24\,a\,b^5\,c^2}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{64\,a^3\,c^6-256\,a^2\,b^2\,c^5+208\,a\,b^4\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{64\,a\,b^2\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{8\,a\,b^2\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{\left(4\,a\,c-b^2\right)\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{64\,a\,b^2\,c^2\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}+\frac{\left(\frac{64\,a^3\,c^6-256\,a^2\,b^2\,c^5+208\,a\,b^4\,c^4}{c^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{768\,a\,b^3\,c^6-512\,a^2\,b\,c^7}{c^4}+\frac{512\,a\,b^2\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a\,c^3-16\,b^2\,c^2}\right)}{2\,\left(64\,a\,c^3-16\,b^2\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{a\,b^2\,{\left(2\,a\,c-b^2\right)}^4}{4\,c^4\,{\left(4\,a\,c-b^2\right)}^2}\right)}{a^3\,\left(16\,a^4\,c^4-32\,a^3\,b^2\,c^3+24\,a^2\,b^4\,c^2-8\,a\,b^6\,c+b^8\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^4/(4*c) + (log(a + b*x^4 + c*x^8)*(4*b^3 - 16*a*b*c))/(2*(64*a*c^3 - 16*b^2*c^2)) - (atan((8*c^4*x^4*(((a*c - b^2)*(((((2*a*c - b^2)*((((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (32*b^3*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2)) + (4*b^3*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/((4*a*c - b^2)*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) - ((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (32*b^3*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + ((2*a*c - b^2)*((144*b^5*c^4 - 240*a*b^3*c^5 + 96*a^2*b*c^6)/c^4 + ((4*b^3 - 16*a*b*c)*((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + (((8*a^3*c^5 - 20*b^6*c^2 + 48*a*b^4*c^3 - 36*a^2*b^2*c^4)/c^4 - ((4*b^3 - 16*a*b*c)*((144*b^5*c^4 - 240*a*b^3*c^5 + 96*a^2*b*c^6)/c^4 + ((4*b^3 - 16*a*b*c)*((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (b^3*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3)/(2*c^2*(4*a*c - b^2)^(3/2)*(64*a*c^3 - 16*b^2*c^2))))/(8*a^3*c^2) - ((b^3 - 3*a*b*c)*(((4*b^3 - 16*a*b*c)*((8*a^3*c^5 - 20*b^6*c^2 + 48*a*b^4*c^3 - 36*a^2*b^2*c^4)/c^4 - ((4*b^3 - 16*a*b*c)*((144*b^5*c^4 - 240*a*b^3*c^5 + 96*a^2*b*c^6)/c^4 + ((4*b^3 - 16*a*b*c)*((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) - (b^7 - a^3*b*c^3 + 3*a^2*b^3*c^2 - 3*a*b^5*c)/c^4 + ((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*((((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (32*b^3*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2)) + (4*b^3*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/((4*a*c - b^2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + ((((4*b^3 - 16*a*b*c)*((((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (32*b^3*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + ((2*a*c - b^2)*((144*b^5*c^4 - 240*a*b^3*c^5 + 96*a^2*b*c^6)/c^4 + ((4*b^3 - 16*a*b*c)*((448*b^4*c^6 - 384*a*b^2*c^7)/c^4 + (256*b^3*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) - (b^3*(2*a*c - b^2)^4)/(8*c^4*(4*a*c - b^2)^2)))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)))*(4*a*c - b^2)^2)/(b^8 + 16*a^4*c^4 + 24*a^2*b^4*c^2 - 32*a^3*b^2*c^3 - 8*a*b^6*c) - (c^2*(a*c - b^2)*(4*a*c - b^2)^2*(((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(8*c^2*(4*a*c - b^2)^(1/2)) + (64*a*b^2*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + (((64*a^3*c^6 + 208*a*b^4*c^4 - 256*a^2*b^2*c^5)/c^4 + ((4*b^3 - 16*a*b*c)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + ((2*a*c - b^2)*((24*a*b^5*c^2 + 16*a^3*b*c^4 - 40*a^2*b^3*c^3)/c^4 + ((4*b^3 - 16*a*b*c)*((64*a^3*c^6 + 208*a*b^4*c^4 - 256*a^2*b^2*c^5)/c^4 + ((4*b^3 - 16*a*b*c)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)*(((((2*a*c - b^2)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(8*c^2*(4*a*c - b^2)^(1/2)) + (64*a*b^2*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (8*a*b^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/((4*a*c - b^2)*(64*a*c^3 - 16*b^2*c^2))))/(8*c^2*(4*a*c - b^2)^(1/2)) - (a*b^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3)/(c^2*(4*a*c - b^2)^(3/2)*(64*a*c^3 - 16*b^2*c^2))))/(a^3*(b^8 + 16*a^4*c^4 + 24*a^2*b^4*c^2 - 32*a^3*b^2*c^3 - 8*a*b^6*c)) + (c^2*(4*a*c - b^2)^(3/2)*(b^3 - 3*a*b*c)*((a*b^6 - 2*a^2*b^4*c + a^3*b^2*c^2)/c^4 + ((4*b^3 - 16*a*b*c)*((24*a*b^5*c^2 + 16*a^3*b*c^4 - 40*a^2*b^3*c^3)/c^4 + ((4*b^3 - 16*a*b*c)*((64*a^3*c^6 + 208*a*b^4*c^4 - 256*a^2*b^2*c^5)/c^4 + ((4*b^3 - 16*a*b*c)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) - ((4*b^3 - 16*a*b*c)*(((((2*a*c - b^2)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(8*c^2*(4*a*c - b^2)^(1/2)) + (64*a*b^2*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (8*a*b^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/((4*a*c - b^2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) - ((2*a*c - b^2)*(((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(8*c^2*(4*a*c - b^2)^(1/2)) + (64*a*b^2*c^2*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(64*a*c^3 - 16*b^2*c^2))))/(2*(64*a*c^3 - 16*b^2*c^2)) + (((64*a^3*c^6 + 208*a*b^4*c^4 - 256*a^2*b^2*c^5)/c^4 + ((4*b^3 - 16*a*b*c)*((768*a*b^3*c^6 - 512*a^2*b*c^7)/c^4 + (512*a*b^2*c^4*(4*b^3 - 16*a*b*c))/(64*a*c^3 - 16*b^2*c^2)))/(2*(64*a*c^3 - 16*b^2*c^2)))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2))))/(8*c^2*(4*a*c - b^2)^(1/2)) + (a*b^2*(2*a*c - b^2)^4)/(4*c^4*(4*a*c - b^2)^2)))/(a^3*(b^8 + 16*a^4*c^4 + 24*a^2*b^4*c^2 - 32*a^3*b^2*c^3 - 8*a*b^6*c)))*(2*a*c - b^2))/(4*c^2*(4*a*c - b^2)^(1/2))","B"
311,1,5659,192,3.071192,"\text{Not used}","int(x^9/(a + b*x^4 + c*x^8),x)","\frac{x^2}{2\,c}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,\left(4\,a^5\,c^4-16\,a^4\,b^2\,c^3+20\,a^3\,b^4\,c^2-8\,a^2\,b^6\,c+a\,b^8\right)}{c^2}+\left(\left(\frac{16\,\left(-256\,a^4\,b\,c^6+576\,a^3\,b^3\,c^5-256\,a^2\,b^5\,c^4+32\,a\,b^7\,c^3\right)}{c^2}-\frac{\left(4096\,a^3\,b^2\,c^8-2048\,a^2\,b^4\,c^7+256\,a\,b^6\,c^6\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,c^2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(64\,a^4\,b\,c^5-80\,a^3\,b^3\,c^4+16\,a^2\,b^5\,c^3\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{4\,x^2\,\left(-2\,a^5\,c^3+6\,a^4\,b^2\,c^2-5\,a^3\,b^4\,c+a^2\,b^6\right)}{c^2}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i + atan(((((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*(a*b^8 + 4*a^5*c^4 - 8*a^2*b^6*c + 20*a^3*b^4*c^2 - 16*a^4*b^2*c^3))/c^2 + (((16*(32*a*b^7*c^3 - 256*a^4*b*c^6 - 256*a^2*b^5*c^4 + 576*a^3*b^3*c^5))/c^2 - ((256*a*b^6*c^6 - 2048*a^2*b^4*c^7 + 4096*a^3*b^2*c^8)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*c^2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(64*a^4*b*c^5 + 16*a^2*b^5*c^3 - 80*a^3*b^3*c^4))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (4*x^2*(a^2*b^6 - 2*a^5*c^3 - 5*a^3*b^4*c + 6*a^4*b^2*c^2))/c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i + x^2/(2*c)","B"
312,1,2654,63,2.608474,"\text{Not used}","int(x^7/(a + b*x^4 + c*x^8),x)","\frac{\ln\left(c\,x^8+b\,x^4+a\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-\frac{b\,\mathrm{atan}\left(\frac{8\,x^4\,\left(\frac{\left(a\,c-b^2\right)\,\left(\frac{\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{b\,\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{32\,b^4\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-\frac{b\,\left(144\,b^3\,c^2-\frac{\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{32\,b^4\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{4\,b^5\,c^2\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}+\frac{b\,\left(20\,b^3\,c-\frac{\left(144\,b^3\,c^2-\frac{\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}+\frac{b^6\,c\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{8\,a^3\,c^2}+\frac{\left(b^3-3\,a\,b\,c\right)\,\left(\frac{b^7}{8\,{\left(4\,a\,c-b^2\right)}^2}+b^3-\frac{\left(20\,b^3\,c-\frac{\left(144\,b^3\,c^2-\frac{\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{b\,\left(\frac{b\,\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{32\,b^4\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{4\,b^5\,c^2\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{b\,\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{b\,\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{32\,b^4\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-\frac{b\,\left(144\,b^3\,c^2-\frac{\left(448\,b^3\,c^3-\frac{256\,b^3\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}}\right)\,{\left(4\,a\,c-b^2\right)}^2}{b^4}+\frac{{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(b^3-3\,a\,b\,c\right)\,\left(a\,b^2+\frac{\left(\frac{b\,\left(\frac{b\,\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{64\,a\,b^3\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{8\,a\,b^4\,c^2\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{a\,b^6}{4\,{\left(4\,a\,c-b^2\right)}^2}-\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-208\,a\,b^2\,c^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+24\,a\,b^2\,c\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{b\,\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{b\,\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{64\,a\,b^3\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{b\,\left(\frac{\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-208\,a\,b^2\,c^2\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)}{a^3\,b^4\,c^2}+\frac{\left(a\,c-b^2\right)\,{\left(4\,a\,c-b^2\right)}^2\,\left(\frac{\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{b\,\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{64\,a\,b^3\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+\frac{b\,\left(\frac{\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-208\,a\,b^2\,c^2\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{64\,a\,b^3\,c^3\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}-\frac{8\,a\,b^4\,c^2\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}+\frac{b\,\left(\frac{\left(16\,a\,c-4\,b^2\right)\,\left(\frac{\left(768\,a\,b^2\,c^3-\frac{512\,a\,b^2\,c^4\,\left(16\,a\,c-4\,b^2\right)}{64\,a\,c^2-16\,b^2\,c}\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}-208\,a\,b^2\,c^2\right)}{2\,\left(64\,a\,c^2-16\,b^2\,c\right)}+24\,a\,b^2\,c\right)}{8\,c\,\sqrt{4\,a\,c-b^2}}+\frac{a\,b^5\,c\,\left(16\,a\,c-4\,b^2\right)}{\left(64\,a\,c^2-16\,b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{a^3\,b^4\,c^2}\right)}{4\,c\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(log(a + b*x^4 + c*x^8)*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - (b*atan((8*x^4*(((a*c - b^2)*(((((16*a*c - 4*b^2)*((b*(448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (32*b^4*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^2 - 16*b^2*c)) - (b*(144*b^3*c^2 - ((448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c))))/(8*c*(4*a*c - b^2)^(1/2)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - (b*((b*((b*(448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (32*b^4*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2)) - (4*b^5*c^2*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2))))/(8*c*(4*a*c - b^2)^(1/2)) + (b*(20*b^3*c - ((144*b^3*c^2 - ((448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c))))/(8*c*(4*a*c - b^2)^(1/2)) + (b^6*c*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(3/2))))/(8*a^3*c^2) + ((b^3 - 3*a*b*c)*(b^7/(8*(4*a*c - b^2)^2) + b^3 - ((20*b^3*c - ((144*b^3*c^2 - ((448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) + ((16*a*c - 4*b^2)*((b*((b*(448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (32*b^4*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2)) - (4*b^5*c^2*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2))))/(2*(64*a*c^2 - 16*b^2*c)) + (b*(((16*a*c - 4*b^2)*((b*(448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (32*b^4*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^2 - 16*b^2*c)) - (b*(144*b^3*c^2 - ((448*b^3*c^3 - (256*b^3*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c))))/(8*c*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2))))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)))*(4*a*c - b^2)^2)/b^4 + ((4*a*c - b^2)^(3/2)*(b^3 - 3*a*b*c)*(a*b^2 + (((b*((b*(768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (64*a*b^3*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2)) - (8*a*b^4*c^2*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) + (a*b^6)/(4*(4*a*c - b^2)^2) - ((16*a*c - 4*b^2)*(((16*a*c - 4*b^2)*(((768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - 208*a*b^2*c^2))/(2*(64*a*c^2 - 16*b^2*c)) + 24*a*b^2*c))/(2*(64*a*c^2 - 16*b^2*c)) + (b*(((16*a*c - 4*b^2)*((b*(768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (64*a*b^3*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^2 - 16*b^2*c)) + (b*(((768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - 208*a*b^2*c^2))/(8*c*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2))))/(a^3*b^4*c^2) + ((a*c - b^2)*(4*a*c - b^2)^2*(((((16*a*c - 4*b^2)*((b*(768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (64*a*b^3*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(2*(64*a*c^2 - 16*b^2*c)) + (b*(((768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - 208*a*b^2*c^2))/(8*c*(4*a*c - b^2)^(1/2)))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - (b*((b*((b*(768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c)))/(8*c*(4*a*c - b^2)^(1/2)) - (64*a*b^3*c^3*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(1/2))))/(8*c*(4*a*c - b^2)^(1/2)) - (8*a*b^4*c^2*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2))))/(8*c*(4*a*c - b^2)^(1/2)) + (b*(((16*a*c - 4*b^2)*(((768*a*b^2*c^3 - (512*a*b^2*c^4*(16*a*c - 4*b^2))/(64*a*c^2 - 16*b^2*c))*(16*a*c - 4*b^2))/(2*(64*a*c^2 - 16*b^2*c)) - 208*a*b^2*c^2))/(2*(64*a*c^2 - 16*b^2*c)) + 24*a*b^2*c))/(8*c*(4*a*c - b^2)^(1/2)) + (a*b^5*c*(16*a*c - 4*b^2))/((64*a*c^2 - 16*b^2*c)*(4*a*c - b^2)^(3/2))))/(a^3*b^4*c^2)))/(4*c*(4*a*c - b^2)^(1/2))","B"
313,1,1220,159,2.809529,"\text{Not used}","int(x^5/(a + b*x^4 + c*x^8),x)","\mathrm{atan}\left(\frac{x^2\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}+b^3\,x^2\,1{}\mathrm{i}-a\,b\,c\,x^2\,4{}\mathrm{i}}{8\,b^4\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}+128\,b^5\,c\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}+64\,a^2\,c^2\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}-1024\,a\,b^3\,c^2\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}+2048\,a^2\,b\,c^3\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}-48\,a\,b^2\,c\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}}\right)\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{x^2\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}-b^3\,x^2\,1{}\mathrm{i}+a\,b\,c\,x^2\,4{}\mathrm{i}}{8\,b^4\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}+128\,b^5\,c\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}+64\,a^2\,c^2\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}-48\,a\,b^2\,c\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}-1024\,a\,b^3\,c^2\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}+2048\,a^2\,b\,c^3\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}\right)}^{3/2}}\right)\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^2\,c^3-256\,a\,b^2\,c^2+32\,b^4\,c}}\,2{}\mathrm{i}","Not used",1,"atan((x^2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i + b^3*x^2*1i - a*b*c*x^2*4i)/(8*b^4*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2) + 128*b^5*c*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2) + 64*a^2*c^2*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2) - 1024*a*b^3*c^2*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2) + 2048*a^2*b*c^3*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2) - 48*a*b^2*c*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2)))*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2)*2i - atan((x^2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i - b^3*x^2*1i + a*b*c*x^2*4i)/(8*b^4*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2) + 128*b^5*c*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2) + 64*a^2*c^2*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2) - 48*a*b^2*c*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2) - 1024*a*b^3*c^2*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2) + 2048*a^2*b*c^3*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(3/2)))*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*b^4*c + 512*a^2*c^3 - 256*a*b^2*c^2))^(1/2)*2i","B"
314,1,260,38,1.369858,"\text{Not used}","int(x^3/(a + b*x^4 + c*x^8),x)","-\frac{\mathrm{atan}\left(\frac{{\left(4\,a\,c-b^2\right)}^2\,\left(\frac{\left(\frac{4\,a\,c^4}{4\,a\,c-b^2}-\frac{4\,a\,b^2\,c^4}{{\left(4\,a\,c-b^2\right)}^2}\right)\,\left(b^3-3\,a\,b\,c\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}}-x^4\,\left(\frac{\left(\frac{2\,c^4}{\sqrt{4\,a\,c-b^2}}-\frac{6\,b^2\,c^4}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(a\,c-b^2\right)}{8\,a^3\,c^2}-\frac{\left(b^3-3\,a\,b\,c\right)\,\left(\frac{6\,b\,c^4}{4\,a\,c-b^2}-\frac{2\,b^3\,c^4}{{\left(4\,a\,c-b^2\right)}^2}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}}\right)+\frac{b\,c^2\,\left(a\,c-b^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{2\,c^4}\right)}{2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"-atan(((4*a*c - b^2)^2*((((4*a*c^4)/(4*a*c - b^2) - (4*a*b^2*c^4)/(4*a*c - b^2)^2)*(b^3 - 3*a*b*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)) - x^4*((((2*c^4)/(4*a*c - b^2)^(1/2) - (6*b^2*c^4)/(4*a*c - b^2)^(3/2))*(a*c - b^2))/(8*a^3*c^2) - ((b^3 - 3*a*b*c)*((6*b*c^4)/(4*a*c - b^2) - (2*b^3*c^4)/(4*a*c - b^2)^2))/(8*a^3*c^2*(4*a*c - b^2)^(1/2))) + (b*c^2*(a*c - b^2))/(a^2*(4*a*c - b^2)^(3/2))))/(2*c^4))/(2*(4*a*c - b^2)^(1/2))","B"
315,1,1105,154,2.270941,"\text{Not used}","int(x/(a + b*x^4 + c*x^8),x)","\mathrm{atan}\left(\frac{b^4\,x^2\,1{}\mathrm{i}+b\,x^2\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}+a^2\,c^2\,x^2\,8{}\mathrm{i}-a\,b^2\,c\,x^2\,6{}\mathrm{i}}{128\,a^2\,b^5\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}-64\,a^3\,c^2\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}+16\,a^2\,b^2\,c\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}-1024\,a^3\,b^3\,c\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}+2048\,a^4\,b\,c^2\,{\left(-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}}\right)\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^4\,x^2\,1{}\mathrm{i}-b\,x^2\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}+a^2\,c^2\,x^2\,8{}\mathrm{i}-a\,b^2\,c\,x^2\,6{}\mathrm{i}}{128\,a^2\,b^5\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}-64\,a^3\,c^2\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}+16\,a^2\,b^2\,c\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}-1024\,a^3\,b^3\,c\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}+2048\,a^4\,b\,c^2\,{\left(\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}\right)}^{3/2}}\right)\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{512\,a^3\,c^2-256\,a^2\,b^2\,c+32\,a\,b^4}}\,2{}\mathrm{i}","Not used",1,"atan((b^4*x^2*1i + b*x^2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i + a^2*c^2*x^2*8i - a*b^2*c*x^2*6i)/(128*a^2*b^5*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2) - 64*a^3*c^2*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2) + 16*a^2*b^2*c*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2) - 1024*a^3*b^3*c*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2) + 2048*a^4*b*c^2*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2)))*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2)*2i + atan((b^4*x^2*1i - b*x^2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i + a^2*c^2*x^2*8i - a*b^2*c*x^2*6i)/(128*a^2*b^5*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2) - 64*a^3*c^2*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2) + 16*a^2*b^2*c*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2) - 1024*a^3*b^3*c*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2) + 2048*a^4*b*c^2*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(3/2)))*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(32*a*b^4 + 512*a^3*c^2 - 256*a^2*b^2*c))^(1/2)*2i","B"
316,1,1690,69,2.184750,"\text{Not used}","int(1/(x*(a + b*x^4 + c*x^8)),x)","\frac{\ln\left(x\right)}{a}+\frac{\ln\left(c\,x^8+b\,x^4+a\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}-\frac{b\,\mathrm{atan}\left(\frac{4\,{\left(4\,a\,c-b^2\right)}^2\,\left(-18\,a^3\,c^3+61\,a^2\,b^2\,c^2-34\,a\,b^4\,c+5\,b^6\right)\,\left(\frac{b^9\,c^4}{128\,a^4\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{2\,b^5\,c^4\,{\left(16\,a\,c-4\,b^2\right)}^4}{{\left(16\,a\,b^2-64\,a^2\,c\right)}^4\,\sqrt{4\,a\,c-b^2}}-\frac{b\,{\left(16\,a\,c-4\,b^2\right)}^3\,\left(256\,b^4\,c^4-\frac{128\,a\,b^4\,c^4\,\left(16\,a\,c-4\,b^2\right)}{16\,a\,b^2-64\,a^2\,c}\right)}{16\,a\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^3\,\sqrt{4\,a\,c-b^2}}+\frac{b^3\,\left(16\,a\,c-4\,b^2\right)\,\left(256\,b^4\,c^4-\frac{128\,a\,b^4\,c^4\,\left(16\,a\,c-4\,b^2\right)}{16\,a\,b^2-64\,a^2\,c}\right)}{256\,a^3\,\left(16\,a\,b^2-64\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{3\,b^7\,c^4\,{\left(16\,a\,c-4\,b^2\right)}^2}{4\,a^2\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{b^4\,c^8\,\left(81\,a\,c-20\,b^2\right)}+\frac{128\,a^5\,x^4\,\left(\frac{\left(23\,a^2\,b\,c^2-24\,a\,b^3\,c+5\,b^5\right)\,\left(\frac{\left(576\,b^3\,c^5-\frac{\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}\right)\,{\left(16\,a\,c-4\,b^2\right)}^4}{16\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^4}+\frac{b^4\,\left(576\,b^3\,c^5-\frac{\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}\right)}{4096\,a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b^2\,\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,{\left(16\,a\,c-4\,b^2\right)}^3}{128\,a^2\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^3\,\left(4\,a\,c-b^2\right)}-\frac{3\,b^2\,\left(576\,b^3\,c^5-\frac{\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}\right)\,{\left(16\,a\,c-4\,b^2\right)}^2}{128\,a^2\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^2\,\left(4\,a\,c-b^2\right)}-\frac{b^4\,\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2048\,a^4\,\left(16\,a\,b^2-64\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}\right)}{32\,a^5\,c^4\,\left(81\,a\,c-20\,b^2\right)}+\frac{\left(-18\,a^3\,c^3+61\,a^2\,b^2\,c^2-34\,a\,b^4\,c+5\,b^6\right)\,\left(\frac{b^5\,\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)}{32768\,a^5\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{3\,b^3\,\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,{\left(16\,a\,c-4\,b^2\right)}^2}{1024\,a^3\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,{\left(16\,a\,c-4\,b^2\right)}^4}{128\,a\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^4\,\sqrt{4\,a\,c-b^2}}-\frac{b\,\left(576\,b^3\,c^5-\frac{\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}\right)\,{\left(16\,a\,c-4\,b^2\right)}^3}{16\,a\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^3\,\sqrt{4\,a\,c-b^2}}+\frac{b^3\,\left(576\,b^3\,c^5-\frac{\left(1280\,b^5\,c^4-4608\,a\,b^3\,c^5\right)\,\left(16\,a\,c-4\,b^2\right)}{2\,\left(16\,a\,b^2-64\,a^2\,c\right)}\right)\,\left(16\,a\,c-4\,b^2\right)}{256\,a^3\,\left(16\,a\,b^2-64\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{32\,a^5\,c^4\,\sqrt{4\,a\,c-b^2}\,\left(81\,a\,c-20\,b^2\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{5/2}}{b^4\,c^4}+\frac{4\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(23\,a^2\,b\,c^2-24\,a\,b^3\,c+5\,b^5\right)\,\left(\frac{{\left(16\,a\,c-4\,b^2\right)}^4\,\left(256\,b^4\,c^4-\frac{128\,a\,b^4\,c^4\,\left(16\,a\,c-4\,b^2\right)}{16\,a\,b^2-64\,a^2\,c}\right)}{16\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^4}+\frac{b^4\,\left(256\,b^4\,c^4-\frac{128\,a\,b^4\,c^4\,\left(16\,a\,c-4\,b^2\right)}{16\,a\,b^2-64\,a^2\,c}\right)}{4096\,a^4\,{\left(4\,a\,c-b^2\right)}^2}-\frac{b^8\,c^4\,\left(16\,a\,c-4\,b^2\right)}{8\,a^3\,\left(16\,a\,b^2-64\,a^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,b^6\,c^4\,{\left(16\,a\,c-4\,b^2\right)}^3}{a\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^3\,\left(4\,a\,c-b^2\right)}-\frac{3\,b^2\,{\left(16\,a\,c-4\,b^2\right)}^2\,\left(256\,b^4\,c^4-\frac{128\,a\,b^4\,c^4\,\left(16\,a\,c-4\,b^2\right)}{16\,a\,b^2-64\,a^2\,c}\right)}{128\,a^2\,{\left(16\,a\,b^2-64\,a^2\,c\right)}^2\,\left(4\,a\,c-b^2\right)}\right)}{b^4\,c^8\,\left(81\,a\,c-20\,b^2\right)}\right)}{4\,a\,\sqrt{4\,a\,c-b^2}}","Not used",1,"log(x)/a + (log(a + b*x^4 + c*x^8)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c)) - (b*atan((4*(4*a*c - b^2)^2*(5*b^6 - 18*a^3*c^3 + 61*a^2*b^2*c^2 - 34*a*b^4*c)*((b^9*c^4)/(128*a^4*(4*a*c - b^2)^(5/2)) + (2*b^5*c^4*(16*a*c - 4*b^2)^4)/((16*a*b^2 - 64*a^2*c)^4*(4*a*c - b^2)^(1/2)) - (b*(16*a*c - 4*b^2)^3*(256*b^4*c^4 - (128*a*b^4*c^4*(16*a*c - 4*b^2))/(16*a*b^2 - 64*a^2*c)))/(16*a*(16*a*b^2 - 64*a^2*c)^3*(4*a*c - b^2)^(1/2)) + (b^3*(16*a*c - 4*b^2)*(256*b^4*c^4 - (128*a*b^4*c^4*(16*a*c - 4*b^2))/(16*a*b^2 - 64*a^2*c)))/(256*a^3*(16*a*b^2 - 64*a^2*c)*(4*a*c - b^2)^(3/2)) - (3*b^7*c^4*(16*a*c - 4*b^2)^2)/(4*a^2*(16*a*b^2 - 64*a^2*c)^2*(4*a*c - b^2)^(3/2))))/(b^4*c^8*(81*a*c - 20*b^2)) + (128*a^5*x^4*(((5*b^5 + 23*a^2*b*c^2 - 24*a*b^3*c)*(((576*b^3*c^5 - ((1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c)))*(16*a*c - 4*b^2)^4)/(16*(16*a*b^2 - 64*a^2*c)^4) + (b^4*(576*b^3*c^5 - ((1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c))))/(4096*a^4*(4*a*c - b^2)^2) + (b^2*(1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2)^3)/(128*a^2*(16*a*b^2 - 64*a^2*c)^3*(4*a*c - b^2)) - (3*b^2*(576*b^3*c^5 - ((1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c)))*(16*a*c - 4*b^2)^2)/(128*a^2*(16*a*b^2 - 64*a^2*c)^2*(4*a*c - b^2)) - (b^4*(1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2048*a^4*(16*a*b^2 - 64*a^2*c)*(4*a*c - b^2)^2)))/(32*a^5*c^4*(81*a*c - 20*b^2)) + ((5*b^6 - 18*a^3*c^3 + 61*a^2*b^2*c^2 - 34*a*b^4*c)*((b^5*(1280*b^5*c^4 - 4608*a*b^3*c^5))/(32768*a^5*(4*a*c - b^2)^(5/2)) - (3*b^3*(1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2)^2)/(1024*a^3*(16*a*b^2 - 64*a^2*c)^2*(4*a*c - b^2)^(3/2)) + (b*(1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2)^4)/(128*a*(16*a*b^2 - 64*a^2*c)^4*(4*a*c - b^2)^(1/2)) - (b*(576*b^3*c^5 - ((1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c)))*(16*a*c - 4*b^2)^3)/(16*a*(16*a*b^2 - 64*a^2*c)^3*(4*a*c - b^2)^(1/2)) + (b^3*(576*b^3*c^5 - ((1280*b^5*c^4 - 4608*a*b^3*c^5)*(16*a*c - 4*b^2))/(2*(16*a*b^2 - 64*a^2*c)))*(16*a*c - 4*b^2))/(256*a^3*(16*a*b^2 - 64*a^2*c)*(4*a*c - b^2)^(3/2))))/(32*a^5*c^4*(4*a*c - b^2)^(1/2)*(81*a*c - 20*b^2)))*(4*a*c - b^2)^(5/2))/(b^4*c^4) + (4*(4*a*c - b^2)^(5/2)*(5*b^5 + 23*a^2*b*c^2 - 24*a*b^3*c)*(((16*a*c - 4*b^2)^4*(256*b^4*c^4 - (128*a*b^4*c^4*(16*a*c - 4*b^2))/(16*a*b^2 - 64*a^2*c)))/(16*(16*a*b^2 - 64*a^2*c)^4) + (b^4*(256*b^4*c^4 - (128*a*b^4*c^4*(16*a*c - 4*b^2))/(16*a*b^2 - 64*a^2*c)))/(4096*a^4*(4*a*c - b^2)^2) - (b^8*c^4*(16*a*c - 4*b^2))/(8*a^3*(16*a*b^2 - 64*a^2*c)*(4*a*c - b^2)^2) + (2*b^6*c^4*(16*a*c - 4*b^2)^3)/(a*(16*a*b^2 - 64*a^2*c)^3*(4*a*c - b^2)) - (3*b^2*(16*a*c - 4*b^2)^2*(256*b^4*c^4 - (128*a*b^4*c^4*(16*a*c - 4*b^2))/(16*a*b^2 - 64*a^2*c)))/(128*a^2*(16*a*b^2 - 64*a^2*c)^2*(4*a*c - b^2))))/(b^4*c^8*(81*a*c - 20*b^2))))/(4*a*(4*a*c - b^2)^(1/2))","B"
317,1,5451,184,2.416459,"\text{Not used}","int(1/(x^3*(a + b*x^4 + c*x^8)),x)","-\frac{1}{2\,a\,x^2}-\mathrm{atan}\left(\frac{\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)+x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)+x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,1{}\mathrm{i}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}-\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)-x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)-x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,1{}\mathrm{i}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}{\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)+x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)+x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)-x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)-x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)+x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)+x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,1{}\mathrm{i}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}-\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)-x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)-x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,1{}\mathrm{i}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}{\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)+x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)+x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{\left(64\,a^{10}\,c^8+\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\left(\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(65536\,a^{14}\,b^2\,c^6-32768\,a^{13}\,b^4\,c^5+4096\,a^{12}\,b^6\,c^4\right)-x^2\,\left(16384\,a^{13}\,b\,c^7-24576\,a^{12}\,b^3\,c^6+9216\,a^{11}\,b^5\,c^5-1024\,a^{10}\,b^7\,c^4\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+4096\,a^{12}\,b\,c^7+512\,a^{10}\,b^5\,c^5-3072\,a^{11}\,b^3\,c^6\right)-x^2\,\left(512\,a^{11}\,c^8-896\,a^{10}\,b^2\,c^7+448\,a^9\,b^4\,c^6-64\,a^8\,b^6\,c^5\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,a^8\,b^4\,c^6-64\,a^9\,b^2\,c^7\right)\,\left(b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{32\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((64*a^10*c^8 + ((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) + x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) + x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))*1i)/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) - ((64*a^10*c^8 + ((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) - x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) - x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))*1i)/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))/(((64*a^10*c^8 + ((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) + x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) + x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + ((64*a^10*c^8 + ((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) - x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) - x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2)))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c))))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - atan((((64*a^10*c^8 + ((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) + x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) + x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))*1i)/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) - ((64*a^10*c^8 + ((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) - x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) - x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))*1i)/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))/(((64*a^10*c^8 + ((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) + x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) + x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + ((64*a^10*c^8 + ((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4096*a^12*b^6*c^4 - 32768*a^13*b^4*c^5 + 65536*a^14*b^2*c^6) - x^2*(16384*a^13*b*c^7 - 1024*a^10*b^7*c^4 + 9216*a^11*b^5*c^5 - 24576*a^12*b^3*c^6))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 4096*a^12*b*c^7 + 512*a^10*b^5*c^5 - 3072*a^11*b^3*c^6) - x^2*(512*a^11*c^8 - 64*a^8*b^6*c^5 + 448*a^9*b^4*c^6 - 896*a^10*b^2*c^7))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*a^8*b^4*c^6 - 64*a^9*b^2*c^7)*(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2)))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c))))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(32*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - 1/(2*a*x^2)","B"
318,1,8817,89,2.787914,"\text{Not used}","int(1/(x^5*(a + b*x^4 + c*x^8)),x)","\frac{\mathrm{atan}\left(\frac{4\,a^5\,{\left(4\,a\,c-b^2\right)}^2\,\left(-23\,a^3\,b\,c^3+66\,a^2\,b^3\,c^2-35\,a\,b^5\,c+5\,b^7\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{a^3\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3}{4\,a^5\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{16\,a^3\,b\,c^7-96\,a^2\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{a^3\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(\frac{a^2\,c^8-16\,a\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{16\,a^3\,b\,c^7-96\,a^2\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^4\,c^4\,{\left(2\,a\,c-b^2\right)}^5}{128\,a^9\,{\left(4\,a\,c-b^2\right)}^{5/2}}\right)}{c^4\,\left(a^2\,c^2+80\,a\,b^2\,c-20\,b^4\right)\,\left(16\,a^4\,c^8-32\,a^3\,b^2\,c^7+24\,a^2\,b^4\,c^6-8\,a\,b^6\,c^5+b^8\,c^4\right)}-\frac{128\,a^{10}\,x^4\,\left(\frac{\left(-a^3\,c^3+26\,a^2\,b^2\,c^2-25\,a\,b^4\,c+5\,b^6\right)\,\left(\frac{c^9}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{20\,b\,c^8}{a^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{72\,a^3\,c^8+124\,a^2\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{128\,a^9\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{72\,a^3\,c^8+124\,a^2\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{128\,a^9\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{1024\,a^{11}\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^4\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{8192\,a^{13}\,{\left(4\,a\,c-b^2\right)}^2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{32\,a^5\,c^4\,\left(a^2\,c^2+80\,a\,b^2\,c-20\,b^4\right)}+\frac{\left(-23\,a^3\,b\,c^3+66\,a^2\,b^3\,c^2-35\,a\,b^5\,c+5\,b^7\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{128\,a^9\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{1024\,a^{11}\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{72\,a^3\,c^8+124\,a^2\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{20\,b\,c^8}{a^4}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{72\,a^3\,c^8+124\,a^2\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{128\,a^9\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{16\,a^7\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{864\,a^4\,b\,c^7+208\,a^3\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{448\,a^4\,b^4\,c^5-3456\,a^5\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{2\,a^5\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{{\left(2\,a\,c-b^2\right)}^5\,\left(1280\,a^5\,b^5\,c^4-4608\,a^6\,b^3\,c^5\right)}{32768\,a^{15}\,{\left(4\,a\,c-b^2\right)}^{5/2}}\right)}{32\,a^5\,c^4\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+80\,a\,b^2\,c-20\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{5/2}}{16\,a^4\,c^8-32\,a^3\,b^2\,c^7+24\,a^2\,b^4\,c^6-8\,a\,b^6\,c^5+b^8\,c^4}+\frac{4\,a^5\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-a^3\,c^3+26\,a^2\,b^2\,c^2-25\,a\,b^4\,c+5\,b^6\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{a^3\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{b\,c^8}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{a^2\,c^8-16\,a\,b^2\,c^7}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{16\,a^3\,b\,c^7-96\,a^2\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}+\frac{\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{\left(\frac{16\,a^3\,b\,c^7-96\,a^2\,b^3\,c^6}{a^5}-\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^3\,b^4\,c^5-96\,a^4\,b^2\,c^6}{a^5}+\frac{\left(4\,b^3-16\,a\,b\,c\right)\,\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,a^4\,b^5\,c^4-256\,a^5\,b^3\,c^5}{a^5}-\frac{128\,a\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)}{64\,a^3\,c-16\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{16\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{a\,\sqrt{4\,a\,c-b^2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{a^3\,\left(4\,a\,c-b^2\right)\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^3}{4\,a^5\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{8\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^4\,c^4\,\left(4\,b^3-16\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^4}{32\,a^7\,{\left(4\,a\,c-b^2\right)}^2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}\right)}{c^4\,\left(a^2\,c^2+80\,a\,b^2\,c-20\,b^4\right)\,\left(16\,a^4\,c^8-32\,a^3\,b^2\,c^7+24\,a^2\,b^4\,c^6-8\,a\,b^6\,c^5+b^8\,c^4\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b\,\ln\left(x\right)}{a^2}-\frac{\ln\left(c\,x^8+b\,x^4+a\right)\,\left(4\,b^3-16\,a\,b\,c\right)}{2\,\left(64\,a^3\,c-16\,a^2\,b^2\right)}-\frac{1}{4\,a\,x^4}","Not used",1,"(atan((4*a^5*(4*a*c - b^2)^2*(5*b^7 - 23*a^3*b*c^3 + 66*a^2*b^3*c^2 - 35*a*b^5*c)*(((4*b^3 - 16*a*b*c)*((((((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (2*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/(a^3*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3)/(4*a^5*(4*a*c - b^2)^(3/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - ((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + (((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((16*a^3*b*c^7 - 96*a^2*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((2*a*c - b^2)*(((4*b^3 - 16*a*b*c)*((((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (2*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/(a^3*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((((4*b^3 - 16*a*b*c)*((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + (((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + (((a^2*c^8 - 16*a*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((16*a^3*b*c^7 - 96*a^2*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + (b^4*c^4*(2*a*c - b^2)^5)/(128*a^9*(4*a*c - b^2)^(5/2))))/(c^4*(a^2*c^2 - 20*b^4 + 80*a*b^2*c)*(16*a^4*c^8 + b^8*c^4 - 8*a*b^6*c^5 + 24*a^2*b^4*c^6 - 32*a^3*b^2*c^7)) - (128*a^10*x^4*(((5*b^6 - a^3*c^3 + 26*a^2*b^2*c^2 - 25*a*b^4*c)*(c^9/a^5 + ((4*b^3 - 16*a*b*c)*((20*b*c^8)/a^4 + ((4*b^3 - 16*a*b*c)*((72*a^3*c^8 + 124*a^2*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(128*a^9*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((2*a*c - b^2)*(((4*b^3 - 16*a*b*c)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((2*a*c - b^2)*(((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((72*a^3*c^8 + 124*a^2*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(8*a^2*(4*a*c - b^2)^(1/2)) - ((((2*a*c - b^2)*(((2*a*c - b^2)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(128*a^9*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(1024*a^11*(4*a*c - b^2)^(3/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^4*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(8192*a^13*(4*a*c - b^2)^2*(64*a^3*c - 16*a^2*b^2))))/(32*a^5*c^4*(a^2*c^2 - 20*b^4 + 80*a*b^2*c)) + ((5*b^7 - 23*a^3*b*c^3 + 66*a^2*b^3*c^2 - 35*a*b^5*c)*(((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*(((2*a*c - b^2)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(128*a^9*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(1024*a^11*(4*a*c - b^2)^(3/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - ((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((72*a^3*c^8 + 124*a^2*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) + (((20*b*c^8)/a^4 + ((4*b^3 - 16*a*b*c)*((72*a^3*c^8 + 124*a^2*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((((4*b^3 - 16*a*b*c)*(((2*a*c - b^2)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(128*a^9*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((2*a*c - b^2)*(((4*b^3 - 16*a*b*c)*((((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + ((4*b^3 - 16*a*b*c)*(2*a*c - b^2)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(16*a^7*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((864*a^4*b*c^7 + 208*a^3*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((448*a^4*b^4*c^5 - 3456*a^5*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(2*a^5*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(8*a^2*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)^5*(1280*a^5*b^5*c^4 - 4608*a^6*b^3*c^5))/(32768*a^15*(4*a*c - b^2)^(5/2))))/(32*a^5*c^4*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 20*b^4 + 80*a*b^2*c)))*(4*a*c - b^2)^(5/2))/(16*a^4*c^8 + b^8*c^4 - 8*a*b^6*c^5 + 24*a^2*b^4*c^6 - 32*a^3*b^2*c^7) + (4*a^5*(4*a*c - b^2)^(5/2)*(5*b^6 - a^3*c^3 + 26*a^2*b^2*c^2 - 25*a*b^4*c)*(((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (2*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/(a^3*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((((4*b^3 - 16*a*b*c)*((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + (((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (b*c^8)/a^5 + ((4*b^3 - 16*a*b*c)*((a^2*c^8 - 16*a*b^2*c^7)/a^5 + ((4*b^3 - 16*a*b*c)*((16*a^3*b*c^7 - 96*a^2*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + ((((4*b^3 - 16*a*b*c)*(((4*b^3 - 16*a*b*c)*((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)) + (((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2))))/(2*(64*a^3*c - 16*a^2*b^2)) - (((16*a^3*b*c^7 - 96*a^2*b^3*c^6)/a^5 - ((4*b^3 - 16*a*b*c)*((256*a^3*b^4*c^5 - 96*a^4*b^2*c^6)/a^5 + ((4*b^3 - 16*a*b*c)*((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2)))/(2*(64*a^3*c - 16*a^2*b^2))))/(2*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (((((((((256*a^4*b^5*c^4 - 256*a^5*b^3*c^5)/a^5 - (128*a*b^4*c^4*(4*b^3 - 16*a*b*c))/(64*a^3*c - 16*a^2*b^2))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (16*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2))/(a*(4*a*c - b^2)^(1/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (2*b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^2)/(a^3*(4*a*c - b^2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) - (b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^3)/(4*a^5*(4*a*c - b^2)^(3/2)*(64*a^3*c - 16*a^2*b^2)))*(2*a*c - b^2))/(8*a^2*(4*a*c - b^2)^(1/2)) + (b^4*c^4*(4*b^3 - 16*a*b*c)*(2*a*c - b^2)^4)/(32*a^7*(4*a*c - b^2)^2*(64*a^3*c - 16*a^2*b^2))))/(c^4*(a^2*c^2 - 20*b^4 + 80*a*b^2*c)*(16*a^4*c^8 + b^8*c^4 - 8*a*b^6*c^5 + 24*a^2*b^4*c^6 - 32*a^3*b^2*c^7)))*(2*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(1/2)) - (b*log(x))/a^2 - (log(a + b*x^4 + c*x^8)*(4*b^3 - 16*a*b*c))/(2*(64*a^3*c - 16*a^2*b^2)) - 1/(4*a*x^4)","B"
319,1,12709,381,3.491059,"\text{Not used}","int(x^10/(a + b*x^4 + c*x^8),x)","2\,\mathrm{atan}\left(\frac{\left(-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}-\left(\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}}{\frac{2\,\left(a^8\,c-a^7\,b^2\right)}{c^3}+\left(-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}+2\,\mathrm{atan}\left(\frac{\left(-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}-\left(\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}}{\frac{2\,\left(a^8\,c-a^7\,b^2\right)}{c^3}+\left(-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}+\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)\,4{}\mathrm{i}}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}+\frac{x^3}{3\,c}+\mathrm{atan}\left(\frac{\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{4\,x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}+\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{4\,x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{4\,x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}+\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}+\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{4\,x\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}-\frac{2\,\left(a^8\,c-a^7\,b^2\right)}{c^3}}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{4\,x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}+\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{4\,x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}-\frac{4\,x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}+\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}+\left(\left(\frac{8192\,a^6\,b\,c^6-8192\,a^5\,b^3\,c^5+2560\,a^4\,b^5\,c^4-256\,a^3\,b^7\,c^3}{c^3}+\frac{4\,x\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,\left(8192\,a^6\,c^8-8192\,a^5\,b^2\,c^7+2560\,a^4\,b^4\,c^6-256\,a^3\,b^6\,c^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{3/4}-\frac{4\,x\,\left(5\,a^7\,b\,c^2-5\,a^6\,b^3\,c+a^5\,b^5\right)}{c^3}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}-\frac{2\,\left(a^8\,c-a^7\,b^2\right)}{c^3}}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^{11}-256\,a^3\,b^2\,c^{10}+96\,a^2\,b^4\,c^9-16\,a\,b^6\,c^8+b^8\,c^7\right)}\right)}^{1/4}\,2{}\mathrm{i}","Not used",1,"atan(((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (4*x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i - (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (4*x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i)/((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (4*x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) + (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (4*x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) - (2*(a^8*c - a^7*b^2))/c^3))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*2i + atan(((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (4*x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i - (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (4*x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i)/((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (4*x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) + (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (4*x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4) - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) - (2*(a^8*c - a^7*b^2))/c^3))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*2i + 2*atan(((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) - (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4))/((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i + (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (x*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i + (2*(a^8*c - a^7*b^2))/c^3))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) + 2*atan(((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) - (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4))/((((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 - (x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i - (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i + (((8192*a^6*b*c^6 - 256*a^3*b^7*c^3 + 2560*a^4*b^5*c^4 - 8192*a^5*b^3*c^5)/c^3 + (x*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*(8192*a^6*c^8 - 256*a^3*b^6*c^5 + 2560*a^4*b^4*c^6 - 8192*a^5*b^2*c^7)*4i)/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(3/4)*1i + (4*x*(a^5*b^5 - 5*a^6*b^3*c + 5*a^7*b*c^2))/c^3)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4)*1i + (2*(a^8*c - a^7*b^2))/c^3))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^11 + b^8*c^7 - 16*a*b^6*c^8 + 96*a^2*b^4*c^9 - 256*a^3*b^2*c^10)))^(1/4) + x^3/(3*c)","B"
320,1,10382,376,3.969374,"\text{Not used}","int(x^8/(a + b*x^4 + c*x^8),x)","\frac{x}{c}-2\,\mathrm{atan}\left(\frac{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-2\,\mathrm{atan}\left(\frac{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,2{}\mathrm{i}","Not used",1,"atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i)/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*2i + atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i)/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*2i - 2*atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4))/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - 2*atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4))/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + x/c","B"
321,1,8033,325,3.511005,"\text{Not used}","int(x^6/(a + b*x^4 + c*x^8),x)","\mathrm{atan}\left(\frac{\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)+x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)+x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}-2\,a^4\,b\,c}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)+x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)+x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\right)-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}-2\,a^4\,b\,c}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,2{}\mathrm{i}-2\,\mathrm{atan}\left(\frac{\left(x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}-\left(-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}}{2\,a^4\,b\,c+\left(x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}-2\,\mathrm{atan}\left(\frac{\left(x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}-\left(-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}}{2\,a^4\,b\,c+\left(x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4-x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-x\,\left(4\,a^3\,b^3\,c-12\,a^4\,b\,c^2\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{3/4}\,\left(4096\,a^5\,c^5+256\,a^3\,b^4\,c^3-2048\,a^4\,b^2\,c^4+x\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,\left(32768\,a^5\,c^6-16384\,a^4\,b^2\,c^5+2048\,a^3\,b^4\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)}^{1/4}","Not used",1,"atan((((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i - ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i)/(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) - 2*a^4*b*c))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*2i + atan((((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i - ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i)/(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)) - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) - 2*a^4*b*c))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*2i - 2*atan((((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) - ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4))/(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i + 2*a^4*b*c))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) - 2*atan((((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4) - ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4))/(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 - x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i + x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(3/4)*(4096*a^5*c^5 + 256*a^3*b^4*c^3 - 2048*a^4*b^2*c^4 + x*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*(32768*a^5*c^6 + 2048*a^3*b^4*c^4 - 16384*a^4*b^2*c^5)*1i)*1i - x*(4*a^3*b^3*c - 12*a^4*b*c^2))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)*1i + 2*a^4*b*c))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))^(1/4)","B"
322,1,8169,325,3.632885,"\text{Not used}","int(x^4/(a + b*x^4 + c*x^8),x)","-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)+x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)+x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)+x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}+\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)+x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,2{}\mathrm{i}-2\,\mathrm{atan}\left(\frac{\left(x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}-\left(-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}}{\left(x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}-\mathrm{atan}\left(\frac{\left(\left(\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)+x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}+x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)+x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}+\left(\left(\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}+64\,a^3\,b\,c^4-16\,a^2\,b^3\,c^3\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}+x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,2{}\mathrm{i}-2\,\mathrm{atan}\left(\frac{\left(x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}-\left(-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}}{\left(x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-x\,\left(8\,a^3\,c^4-4\,a^2\,b^2\,c^3\right)+\left(16\,a^2\,b^3\,c^3-64\,a^3\,b\,c^4+\left(-x\,\left(16384\,a^4\,b\,c^6-8192\,a^3\,b^3\,c^5+1024\,a^2\,b^5\,c^4\right)+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,\left(262144\,a^5\,c^7-196608\,a^4\,b^2\,c^6+49152\,a^3\,b^4\,c^5-4096\,a^2\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)}^{1/4}","Not used",1,"- atan((((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3) - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i - ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3) + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i)/(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3) - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) + ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3) + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*2i - 2*atan((((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*1i + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) - ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*1i - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4))/(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*1i + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i + ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*1i - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) - atan((((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i - ((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i)/(((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) + ((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6) - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4) + 64*a^3*b*c^4 - 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*2i - 2*atan((((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4) - ((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4))/(((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i + x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i + x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i + ((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*(262144*a^5*c^7 - 4096*a^2*b^6*c^4 + 49152*a^3*b^4*c^5 - 196608*a^4*b^2*c^6)*1i - x*(16384*a^4*b*c^6 + 1024*a^2*b^5*c^4 - 8192*a^3*b^3*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(3/4)*1i - 64*a^3*b*c^4 + 16*a^2*b^3*c^3)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i - x*(8*a^3*c^4 - 4*a^2*b^2*c^3))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)*1i))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))^(1/4)","B"
323,1,6067,315,2.336327,"\text{Not used}","int(x^2/(a + b*x^4 + c*x^8),x)","-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6+x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-2048\,a^2\,b^3\,c^5\right)+4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6+x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}+\left({\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-2048\,a^2\,b^3\,c^5\right)+4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}+2\,a\,c^5}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}+2\,\mathrm{atan}\left(\frac{\left(-4\,a\,b\,c^5\,x+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5-x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}-\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5+x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}}{-2\,a\,c^5+\left(-4\,a\,b\,c^5\,x+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5-x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5+x\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^5-\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-256\,a\,b^5\,c^4-4096\,a^3\,b\,c^6+2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)+256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)+256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}-\left({\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)-256\,a\,b^5\,c^4-4096\,a^3\,b\,c^6+2048\,a^2\,b^3\,c^5\right)-4\,a\,b\,c^5\,x\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}+2\,a\,c^5}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}+2\,\mathrm{atan}\left(\frac{\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(2048\,a^2\,b^3\,c^5-4096\,a^3\,b\,c^6-256\,a\,b^5\,c^4+x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}+\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5+x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}}{2\,a\,c^5+\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(2048\,a^2\,b^3\,c^5-4096\,a^3\,b\,c^6-256\,a\,b^5\,c^4+x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(4\,a\,b\,c^5\,x+{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{3/4}\,\left(256\,a\,b^5\,c^4+4096\,a^3\,b\,c^6-2048\,a^2\,b^3\,c^5+x\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^4\,c^7-32768\,a^3\,b^2\,c^6+10240\,a^2\,b^4\,c^5-1024\,a\,b^6\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^5+\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+16\,a^2\,b\,c^2-8\,a\,b^3\,c}{512\,\left(256\,a^5\,c^4-256\,a^4\,b^2\,c^3+96\,a^3\,b^4\,c^2-16\,a^2\,b^6\,c+a\,b^8\right)}\right)}^{1/4}","Not used",1,"2*atan((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 - x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 2048*a^2*b^3*c^5)*1i - 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) - ((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 + x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4))/(((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 - x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 2048*a^2*b^3*c^5)*1i - 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i + ((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 + x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i - 2*a*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) - atan((((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 + x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i - ((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 - x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 2048*a^2*b^3*c^5) + 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i)/(((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 + x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) + ((-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(256*a*b^5*c^4 + 4096*a^3*b*c^6 - x*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 2048*a^2*b^3*c^5) + 4*a*b*c^5*x)*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) + 2*a*c^5))*(-(b^5 - (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*2i - atan((((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 256*a*b^5*c^4 - 4096*a^3*b*c^6 + 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i + ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) + 256*a*b^5*c^4 + 4096*a^3*b*c^6 - 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i)/(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) + 256*a*b^5*c^4 + 4096*a^3*b*c^6 - 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) - ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6) - 256*a*b^5*c^4 - 4096*a^3*b*c^6 + 2048*a^2*b^3*c^5) - 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) + 2*a*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*2i + 2*atan((((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 256*a*b^5*c^4 - 4096*a^3*b*c^6 + 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4) + ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i + 256*a*b^5*c^4 + 4096*a^3*b*c^6 - 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4))/(((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i - 256*a*b^5*c^4 - 4096*a^3*b*c^6 + 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i - ((-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(3/4)*(x*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*(32768*a^4*c^7 - 1024*a*b^6*c^4 + 10240*a^2*b^4*c^5 - 32768*a^3*b^2*c^6)*1i + 256*a*b^5*c^4 + 4096*a^3*b*c^6 - 2048*a^2*b^3*c^5)*1i + 4*a*b*c^5*x)*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)*1i + 2*a*c^5))*(-(b^5 + (-(4*a*c - b^2)^5)^(1/2) + 16*a^2*b*c^2 - 8*a*b^3*c)/(512*(a*b^8 + 256*a^5*c^4 - 16*a^2*b^6*c + 96*a^3*b^4*c^2 - 256*a^4*b^2*c^3)))^(1/4)","B"
324,1,10337,315,3.416056,"\text{Not used}","int(1/(a + b*x^4 + c*x^8),x)","-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)+x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)+8\,c^7\,x\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)-8\,c^7\,x\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)+x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)+8\,c^7\,x\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)-8\,c^7\,x\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)+x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)+8\,c^7\,x\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)-8\,c^7\,x\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)+x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)+8\,c^7\,x\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(64\,a\,c^7+\left({\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}-16\,b^2\,c^6\right)-8\,c^7\,x\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}-2\,\mathrm{atan}\left(\frac{\left(-8\,c^7\,x+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}-\left(8\,c^7\,x+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}}{\left(-8\,c^7\,x+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(8\,c^7\,x+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^7+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}-2\,\mathrm{atan}\left(\frac{\left(-8\,c^7\,x+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}-\left(8\,c^7\,x+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}}{\left(-8\,c^7\,x+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(8\,c^7\,x+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(16\,b^2\,c^6-64\,a\,c^7+\left(-x\,\left(-49152\,a^3\,b\,c^7+40960\,a^2\,b^3\,c^6-11264\,a\,b^5\,c^5+1024\,b^7\,c^4\right)+{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,\left(-262144\,a^4\,b\,c^7+196608\,a^3\,b^3\,c^6-49152\,a^2\,b^5\,c^5+4096\,a\,b^7\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^7-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-48\,a^3\,b\,c^3+40\,a^2\,b^3\,c^2-11\,a\,b^5\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^7\,c^4-256\,a^6\,b^2\,c^3+96\,a^5\,b^4\,c^2-16\,a^4\,b^6\,c+a^3\,b^8\right)}\right)}^{1/4}","Not used",1,"- atan((((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) + 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i - ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) - 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i)/(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) + 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4) + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) - 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*2i - atan((((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) + 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i - ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) - 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i)/(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) + 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4) + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(64*a*c^7 + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6) - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4) - 16*b^2*c^6) - 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*2i - 2*atan((((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i - 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4) - ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i + 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4))/(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i - 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i + ((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i + 8*c^7*x)*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i))*(-(b^7 + b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c - a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4) - 2*atan((((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i - 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4) - ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i + 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4))/(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i + x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i - 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i + ((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(((-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*(4096*a*b^7*c^4 - 262144*a^4*b*c^7 - 49152*a^2*b^5*c^5 + 196608*a^3*b^3*c^6)*1i - x*(1024*b^7*c^4 - 11264*a*b^5*c^5 - 49152*a^3*b*c^7 + 40960*a^2*b^3*c^6))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(3/4)*1i - 64*a*c^7 + 16*b^2*c^6)*1i + 8*c^7*x)*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)*1i))*(-(b^7 - b^2*(-(4*a*c - b^2)^5)^(1/2) - 48*a^3*b*c^3 + 40*a^2*b^3*c^2 - 11*a*b^5*c + a*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^3*b^8 + 256*a^7*c^4 - 16*a^4*b^6*c + 96*a^5*b^4*c^2 - 256*a^6*b^2*c^3)))^(1/4)","B"
325,1,10509,363,2.809041,"\text{Not used}","int(1/(x^2*(a + b*x^4 + c*x^8)),x)","2\,\mathrm{atan}\left(\frac{\left(4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7-x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}-\left(-4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7+x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}}{\left(4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7-x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7+x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}+2\,\mathrm{atan}\left(\frac{\left(4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7-x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}-\left(-4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7+x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}}{\left(4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7-x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-4\,a^{11}\,b\,c^8\,x+{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7+x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}-\frac{1}{a\,x}-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)+4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8-x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)-4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)+4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}+\left({\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8-x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)-4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left({\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)+4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left({\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8-x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)-4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8+x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)+4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}+\left({\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{3/4}\,\left(4096\,a^{15}\,c^8-x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,\left(32768\,a^{16}\,c^8-81920\,a^{15}\,b^2\,c^7+51200\,a^{14}\,b^4\,c^6-12288\,a^{13}\,b^6\,c^5+1024\,a^{12}\,b^8\,c^4\right)+256\,a^{11}\,b^8\,c^4-2816\,a^{12}\,b^6\,c^5+10496\,a^{13}\,b^4\,c^6-14336\,a^{14}\,b^2\,c^7\right)-4\,a^{11}\,b\,c^8\,x\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^9\,c^4-256\,a^8\,b^2\,c^3+96\,a^7\,b^4\,c^2-16\,a^6\,b^6\,c+a^5\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}","Not used",1,"2*atan((((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i + 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) - ((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i - 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4))/(((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i + 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i + ((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i - 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) - atan((((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) + 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i - ((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) - 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i)/(((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) + 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) + ((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) - 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*2i - atan((((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) + 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i - ((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) - 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i)/(((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) + 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) + ((-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7) + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7) - 4*a^11*b*c^8*x)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*2i + 2*atan((((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i + 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) - ((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i - 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4))/(((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 - x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i + 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i + ((-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(3/4)*(4096*a^15*c^8 + x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*(32768*a^16*c^8 + 1024*a^12*b^8*c^4 - 12288*a^13*b^6*c^5 + 51200*a^14*b^4*c^6 - 81920*a^15*b^2*c^7)*1i + 256*a^11*b^8*c^4 - 2816*a^12*b^6*c^5 + 10496*a^13*b^4*c^6 - 14336*a^14*b^2*c^7)*1i - 4*a^11*b*c^8*x)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4)*1i))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^5*b^8 + 256*a^9*c^4 - 16*a^6*b^6*c + 96*a^7*b^4*c^2 - 256*a^8*b^2*c^3)))^(1/4) - 1/(a*x)","B"
326,1,16497,365,5.567827,"\text{Not used}","int(1/(x^4*(a + b*x^4 + c*x^8)),x)","2\,\mathrm{atan}\left(-\frac{\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(96\,a^{10}\,b^3\,c^8-16\,a^9\,b^5\,c^7-128\,a^{11}\,b\,c^9+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}+\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}}{\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(96\,a^{10}\,b^3\,c^8-16\,a^9\,b^5\,c^7-128\,a^{11}\,b\,c^9+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}+2\,\mathrm{atan}\left(-\frac{\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(96\,a^{10}\,b^3\,c^8-16\,a^9\,b^5\,c^7-128\,a^{11}\,b\,c^9+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}+\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}}{\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(96\,a^{10}\,b^3\,c^8-16\,a^9\,b^5\,c^7-128\,a^{11}\,b\,c^9+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8+\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}-\frac{1}{3\,a\,x^3}-\mathrm{atan}\left(-\frac{\left({\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}-128\,a^{11}\,b\,c^9-16\,a^9\,b^5\,c^7+96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left({\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}+128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}-128\,a^{11}\,b\,c^9-16\,a^9\,b^5\,c^7+96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}-\left({\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}+128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4-a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c+6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{\left({\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}-128\,a^{11}\,b\,c^9-16\,a^9\,b^5\,c^7+96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left({\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}+128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left({\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)+{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}-128\,a^{11}\,b\,c^9-16\,a^9\,b^5\,c^7+96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}-\left({\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(\left(x\,\left(81920\,a^{15}\,b\,c^8-122880\,a^{14}\,b^3\,c^7+62464\,a^{13}\,b^5\,c^6-13312\,a^{12}\,b^7\,c^5+1024\,a^{11}\,b^9\,c^4\right)-{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,\left(262144\,a^{17}\,c^8-458752\,a^{16}\,b^2\,c^7+245760\,a^{15}\,b^4\,c^6-53248\,a^{14}\,b^6\,c^5+4096\,a^{13}\,b^8\,c^4\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{3/4}+128\,a^{11}\,b\,c^9+16\,a^9\,b^5\,c^7-96\,a^{10}\,b^3\,c^8\right)-x\,\left(8\,a^{10}\,c^{10}-4\,a^9\,b^2\,c^9\right)\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-112\,a^5\,b\,c^5+86\,a^2\,b^7\,c^2-231\,a^3\,b^5\,c^3+280\,a^4\,b^3\,c^4+a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-15\,a\,b^9\,c-6\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+5\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^{11}\,c^4-256\,a^{10}\,b^2\,c^3+96\,a^9\,b^4\,c^2-16\,a^8\,b^6\,c+a^7\,b^8\right)}\right)}^{1/4}\,2{}\mathrm{i}","Not used",1,"2*atan(-(((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) + ((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4))/(((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i - ((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) - atan(-(((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i + ((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i)/(((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) - ((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*2i - atan(-(((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i + ((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i)/(((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) - ((-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4) + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8) - x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)))*(-(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 - a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c + 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*2i + 2*atan(-(((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) + ((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4))/(((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) - (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i - 128*a^11*b*c^9 - 16*a^9*b^5*c^7 + 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i - ((-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*((x*(81920*a^15*b*c^8 + 1024*a^11*b^9*c^4 - 13312*a^12*b^7*c^5 + 62464*a^13*b^5*c^6 - 122880*a^14*b^3*c^7) + (-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*(262144*a^17*c^8 + 4096*a^13*b^8*c^4 - 53248*a^14*b^6*c^5 + 245760*a^15*b^4*c^6 - 458752*a^16*b^2*c^7)*1i)*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(3/4)*1i + 128*a^11*b*c^9 + 16*a^9*b^5*c^7 - 96*a^10*b^3*c^8)*1i + x*(8*a^10*c^10 - 4*a^9*b^2*c^9))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4)*1i))*(-(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 112*a^5*b*c^5 + 86*a^2*b^7*c^2 - 231*a^3*b^5*c^3 + 280*a^4*b^3*c^4 + a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 15*a*b^9*c - 6*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 5*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(a^7*b^8 + 256*a^11*c^4 - 16*a^8*b^6*c + 96*a^9*b^4*c^2 - 256*a^10*b^2*c^3)))^(1/4) - 1/(3*a*x^3)","B"
327,0,-1,127,0.000000,"\text{Not used}","int(x^m/(x^4 + x^8 + 1),x)","\int \frac{x^m}{x^8+x^4+1} \,d x","Not used",1,"int(x^m/(x^4 + x^8 + 1), x)","F"
328,1,37,44,0.046093,"\text{Not used}","int(x^11/(x^4 + x^8 + 1),x)","\frac{x^4}{4}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^4}{3}+\frac{\sqrt{3}}{3}\right)}{12}-\frac{\ln\left(x^8+x^4+1\right)}{8}","Not used",1,"x^4/4 - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^4)/3))/12 - log(x^4 + x^8 + 1)/8","B"
329,1,43,54,0.042304,"\text{Not used}","int(x^9/(x^4 + x^8 + 1),x)","\frac{x^2}{2}-\frac{\sqrt{3}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{3}\,x^6}{3}+\frac{2\,\sqrt{3}\,x^2}{3}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{3}\,x^2}{3}\right)\right)}{12}","Not used",1,"x^2/2 - (3^(1/2)*(2*atan((2*3^(1/2)*x^2)/3 + (3^(1/2)*x^6)/3) + 2*atan((3^(1/2)*x^2)/3)))/12","B"
330,1,32,37,0.040414,"\text{Not used}","int(x^7/(x^4 + x^8 + 1),x)","\frac{\ln\left(x^8+x^4+1\right)}{8}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^4}{3}+\frac{\sqrt{3}}{3}\right)}{12}","Not used",1,"log(x^4 + x^8 + 1)/8 - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^4)/3))/12","B"
331,1,51,75,0.093339,"\text{Not used}","int(x^5/(x^4 + x^8 + 1),x)","\mathrm{atanh}\left(\frac{2\,x^2}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\mathrm{atanh}\left(\frac{2\,x^2}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"atanh((2*x^2)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) + atanh((2*x^2)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4)","B"
332,1,17,23,1.302328,"\text{Not used}","int(x^3/(x^4 + x^8 + 1),x)","\frac{\sqrt{3}\,\mathrm{atan}\left(\sqrt{3}\,\left(\frac{2\,x^4}{3}+\frac{1}{3}\right)\right)}{6}","Not used",1,"(3^(1/2)*atan(3^(1/2)*((2*x^4)/3 + 1/3)))/6","B"
333,1,51,75,1.275441,"\text{Not used}","int(x/(x^4 + x^8 + 1),x)","\mathrm{atan}\left(\frac{\sqrt{3}\,x^2}{2}-\frac{x^2\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{\sqrt{3}\,x^2}{2}+\frac{x^2\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"atan((3^(1/2)*x^2)/2 - (x^2*1i)/2)*(3^(1/2)/12 + 1i/4) + atan((3^(1/2)*x^2)/2 + (x^2*1i)/2)*(3^(1/2)/12 - 1i/4)","B"
334,1,34,39,1.295464,"\text{Not used}","int(1/(x*(x^4 + x^8 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^8+x^4+1\right)}{8}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^4}{3}+\frac{\sqrt{3}}{3}\right)}{12}","Not used",1,"log(x) - log(x^4 + x^8 + 1)/8 - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^4)/3))/12","B"
335,1,43,54,0.036148,"\text{Not used}","int(1/(x^3*(x^4 + x^8 + 1)),x)","-\frac{\sqrt{3}\,\left(2\,\mathrm{atan}\left(\frac{\sqrt{3}\,x^6}{3}+\frac{2\,\sqrt{3}\,x^2}{3}\right)+2\,\mathrm{atan}\left(\frac{\sqrt{3}\,x^2}{3}\right)\right)}{12}-\frac{1}{2\,x^2}","Not used",1,"- (3^(1/2)*(2*atan((2*3^(1/2)*x^2)/3 + (3^(1/2)*x^6)/3) + 2*atan((3^(1/2)*x^2)/3)))/12 - 1/(2*x^2)","B"
336,1,41,48,0.062688,"\text{Not used}","int(1/(x^5*(x^4 + x^8 + 1)),x)","\frac{\ln\left(x^8+x^4+1\right)}{8}-\ln\left(x\right)-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^4}{3}+\frac{\sqrt{3}}{3}\right)}{12}-\frac{1}{4\,x^4}","Not used",1,"log(x^4 + x^8 + 1)/8 - log(x) - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^4)/3))/12 - 1/(4*x^4)","B"
337,1,62,89,0.038763,"\text{Not used}","int(1/(x^7*(x^4 + x^8 + 1)),x)","\mathrm{atanh}\left(\frac{2\,x^2}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\mathrm{atanh}\left(\frac{2\,x^2}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\frac{\frac{x^4}{2}-\frac{1}{6}}{x^6}","Not used",1,"atanh((2*x^2)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) + atanh((2*x^2)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4) + (x^4/2 - 1/6)/x^6","B"
338,1,100,141,0.102615,"\text{Not used}","int(x^8/(x^4 + x^8 + 1),x)","x-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"x - atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 - 1/4) - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 + 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 + 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 - 1i/4)","B"
339,1,38,88,1.310394,"\text{Not used}","int(x^6/(x^4 + x^8 + 1),x)","-\frac{\sqrt{3}\,\left(\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}-\frac{2}{3}\right)}\right)+\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}+\frac{2}{3}\right)}\right)\right)}{6}","Not used",1,"-(3^(1/2)*(atan((2*3^(1/2)*x)/(3*((2*x^2)/3 - 2/3))) + atanh((2*3^(1/2)*x)/(3*((2*x^2)/3 + 2/3)))))/6","B"
340,1,99,140,0.067020,"\text{Not used}","int(x^4/(x^4 + x^8 + 1),x)","-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"- atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 - 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 + 1i/4)","B"
341,1,97,140,1.310846,"\text{Not used}","int(x^2/(x^4 + x^8 + 1),x)","\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 - 1/4) + atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 + 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 + 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 - 1i/4)","B"
342,1,40,88,0.037413,"\text{Not used}","int(1/(x^4 + x^8 + 1),x)","-\frac{\sqrt{3}\,\left(\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}-\frac{2}{3}\right)}\right)-\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}+\frac{2}{3}\right)}\right)\right)}{6}","Not used",1,"-(3^(1/2)*(atan((2*3^(1/2)*x)/(3*((2*x^2)/3 - 2/3))) - atanh((2*3^(1/2)*x)/(3*((2*x^2)/3 + 2/3)))))/6","B"
343,1,102,145,0.048197,"\text{Not used}","int(1/(x^2*(x^4 + x^8 + 1)),x)","\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)-\frac{1}{x}","Not used",1,"atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) + atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 - 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 + 1i/4) - 1/x","B"
344,1,104,147,0.030348,"\text{Not used}","int(1/(x^4*(x^4 + x^8 + 1)),x)","-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)-\frac{1}{3\,x^3}","Not used",1,"- atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 - 1/4) - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 + 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 + 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 - 1i/4) - 1/(3*x^3)","B"
345,1,52,98,0.038308,"\text{Not used}","int(1/(x^6*(x^4 + x^8 + 1)),x)","\frac{x^4-\frac{1}{5}}{x^5}-\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}+\frac{2}{3}\right)}\right)}{6}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3\,\left(\frac{2\,x^2}{3}-\frac{2}{3}\right)}\right)}{6}","Not used",1,"(x^4 - 1/5)/x^5 - (3^(1/2)*atanh((2*3^(1/2)*x)/(3*((2*x^2)/3 + 2/3))))/6 - (3^(1/2)*atan((2*3^(1/2)*x)/(3*((2*x^2)/3 - 2/3))))/6","B"
346,1,110,154,0.031803,"\text{Not used}","int(1/(x^8*(x^4 + x^8 + 1)),x)","\frac{\frac{x^4}{3}-\frac{1}{7}}{x^7}-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}-\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{12}+\frac{1}{4}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"(x^4/3 - 1/7)/x^7 - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4) - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/12 - 1i/4) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/12 + 1i/4) - atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4)","B"
347,0,-1,127,0.000000,"\text{Not used}","int(x^m/(x^8 - x^4 + 1),x)","\int \frac{x^m}{x^8-x^4+1} \,d x","Not used",1,"int(x^m/(x^8 - x^4 + 1), x)","F"
348,1,39,46,0.046718,"\text{Not used}","int(x^11/(x^8 - x^4 + 1),x)","\frac{\ln\left(x^8-x^4+1\right)}{8}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^4}{3}\right)}{12}+\frac{x^4}{4}","Not used",1,"log(x^8 - x^4 + 1)/8 + (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^4)/3))/12 + x^4/4","B"
349,1,29,57,1.305250,"\text{Not used}","int(x^9/(x^8 - x^4 + 1),x)","\frac{x^2}{2}-\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x^2}{9\,\left(\frac{2\,x^4}{9}+\frac{2}{9}\right)}\right)}{6}","Not used",1,"x^2/2 - (3^(1/2)*atanh((2*3^(1/2)*x^2)/(9*((2*x^4)/9 + 2/9))))/6","B"
350,1,34,39,1.281012,"\text{Not used}","int(x^7/(x^8 - x^4 + 1),x)","\frac{\ln\left(x^8-x^4+1\right)}{8}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^4}{3}\right)}{12}","Not used",1,"log(x^8 - x^4 + 1)/8 - (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^4)/3))/12","B"
351,1,53,82,0.049553,"\text{Not used}","int(x^5/(x^8 - x^4 + 1),x)","-\mathrm{atan}\left(\frac{2\,x^2}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{2\,x^2}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"- atan((2*x^2)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) - atan((2*x^2)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4)","B"
352,1,17,23,1.285311,"\text{Not used}","int(x^3/(x^8 - x^4 + 1),x)","\frac{\sqrt{3}\,\mathrm{atan}\left(\sqrt{3}\,\left(\frac{2\,x^4}{3}-\frac{1}{3}\right)\right)}{6}","Not used",1,"(3^(1/2)*atan(3^(1/2)*((2*x^4)/3 - 1/3)))/6","B"
353,1,53,82,0.044673,"\text{Not used}","int(x/(x^8 - x^4 + 1),x)","-\mathrm{atan}\left(-\frac{x^2}{2}+\frac{\sqrt{3}\,x^2\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\mathrm{atan}\left(\frac{x^2}{2}+\frac{\sqrt{3}\,x^2\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"- atan((3^(1/2)*x^2*1i)/2 - x^2/2)*((3^(1/2)*1i)/12 + 1/4) - atan((3^(1/2)*x^2*1i)/2 + x^2/2)*((3^(1/2)*1i)/12 - 1/4)","B"
354,1,36,41,1.292054,"\text{Not used}","int(1/(x*(x^8 - x^4 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^8-x^4+1\right)}{8}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^4}{3}\right)}{12}","Not used",1,"log(x) - log(x^8 - x^4 + 1)/8 - (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^4)/3))/12","B"
355,1,29,57,1.272706,"\text{Not used}","int(1/(x^3*(x^8 - x^4 + 1)),x)","\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x^2}{9\,\left(\frac{2\,x^4}{9}+\frac{2}{9}\right)}\right)}{6}-\frac{1}{2\,x^2}","Not used",1,"(3^(1/2)*atanh((2*3^(1/2)*x^2)/(9*((2*x^4)/9 + 2/9))))/6 - 1/(2*x^2)","B"
356,1,41,48,0.065537,"\text{Not used}","int(1/(x^5*(x^8 - x^4 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^8-x^4+1\right)}{8}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}}{3}-\frac{2\,\sqrt{3}\,x^4}{3}\right)}{12}-\frac{1}{4\,x^4}","Not used",1,"log(x) - log(x^8 - x^4 + 1)/8 + (3^(1/2)*atan(3^(1/2)/3 - (2*3^(1/2)*x^4)/3))/12 - 1/(4*x^4)","B"
357,1,63,96,0.055919,"\text{Not used}","int(1/(x^7*(x^8 - x^4 + 1)),x)","\mathrm{atan}\left(\frac{2\,x^2}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\mathrm{atan}\left(\frac{2\,x^2}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\frac{\frac{x^4}{2}+\frac{1}{6}}{x^6}","Not used",1,"atan((2*x^2)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/12 + 1/4) + atan((2*x^2)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/12 - 1/4) - (x^4/2 + 1/6)/x^6","B"
358,1,209,356,0.157166,"\text{Not used}","int(x^8/(x^8 - x^4 + 1),x)","x+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}-\frac{\sqrt{3}\,x}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{1/4}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}-\frac{2^{1/4}\,\sqrt{3}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{1/4}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}+\frac{2^{1/4}\,\sqrt{3}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"x + (3^(1/2)*atan(x/(8 - 3^(1/2)*8i)^(1/4) + (3^(1/2)*x*1i)/(8 - 3^(1/2)*8i)^(1/4))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 + (3^(1/2)*atan((x*1i)/(8 - 3^(1/2)*8i)^(1/4) - (3^(1/2)*x)/(8 - 3^(1/2)*8i)^(1/4))*(8 - 3^(1/2)*8i)^(1/4))/12 - (2^(3/4)*3^(1/2)*atan((2^(1/4)*x)/(2*(3^(1/2)*1i + 1)^(1/4)) - (2^(1/4)*3^(1/2)*x*1i)/(2*(3^(1/2)*1i + 1)^(1/4)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 - (2^(3/4)*3^(1/2)*atan((2^(1/4)*x*1i)/(2*(3^(1/2)*1i + 1)^(1/4)) + (2^(1/4)*3^(1/2)*x)/(2*(3^(1/2)*1i + 1)^(1/4)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
359,1,53,275,0.095573,"\text{Not used}","int(x^6/(x^8 - x^4 + 1),x)","\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}+\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}-\frac{2}{3}{}\mathrm{i}}\right)\,\left(-\frac{1}{12}+\frac{1}{12}{}\mathrm{i}\right)+\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}-\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}+\frac{2}{3}{}\mathrm{i}}\right)\,\left(-\frac{1}{12}-\frac{1}{12}{}\mathrm{i}\right)","Not used",1,"- 6^(1/2)*atan((6^(1/2)*x*(1/3 + 1i/3))/((2*x^2)/3 - 2i/3))*(1/12 - 1i/12) - 6^(1/2)*atan((6^(1/2)*x*(1/3 - 1i/3))/((2*x^2)/3 + 2i/3))*(1/12 + 1i/12)","B"
360,1,474,347,1.327995,"\text{Not used}","int(x^4/(x^8 - x^4 + 1),x)","-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}+\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}-\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}-\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}+\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"(2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4))/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)) - (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 - (3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)) - (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4))/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)))*(8 - 3^(1/2)*8i)^(1/4))/12 - (3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4))/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)) + (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 + (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)) + (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4))/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
361,1,286,355,0.078531,"\text{Not used}","int(x^2/(x^8 - x^4 + 1),x)","-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"(3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*(3^(1/2)*1i + 1)) - (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4))/(2*(3^(1/2)*1i + 1)))*(8 - 3^(1/2)*8i)^(1/4))/12 - (3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4))/(2*(3^(1/2)*1i + 1)) + (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*(3^(1/2)*1i + 1)))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 - (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4))/(2*(3^(1/2)*1i - 1)) - (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*(3^(1/2)*1i - 1)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 + (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*(3^(1/2)*1i - 1)) + (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4))/(2*(3^(1/2)*1i - 1)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
362,1,53,275,0.036706,"\text{Not used}","int(1/(x^8 - x^4 + 1),x)","\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}+\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}-\frac{2}{3}{}\mathrm{i}}\right)\,\left(-\frac{1}{12}-\frac{1}{12}{}\mathrm{i}\right)+\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}-\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}+\frac{2}{3}{}\mathrm{i}}\right)\,\left(-\frac{1}{12}+\frac{1}{12}{}\mathrm{i}\right)","Not used",1,"- 6^(1/2)*atan((6^(1/2)*x*(1/3 + 1i/3))/((2*x^2)/3 - 2i/3))*(1/12 + 1i/12) - 6^(1/2)*atan((6^(1/2)*x*(1/3 - 1i/3))/((2*x^2)/3 + 2i/3))*(1/12 - 1i/12)","B"
363,1,253,360,1.292068,"\text{Not used}","int(1/(x^2*(x^8 - x^4 + 1)),x)","-\frac{1}{x}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}-\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{3/4}}-\frac{2^{3/4}\,\sqrt{3}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{3/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{3/4}}+\frac{2^{3/4}\,\sqrt{3}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{3/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"(3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4))/(2*(3^(1/2)*1i - 1)) + (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*(3^(1/2)*1i - 1)))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 - 1/x - (3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*(3^(1/2)*1i - 1)) - (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4))/(2*(3^(1/2)*1i - 1)))*(8 - 3^(1/2)*8i)^(1/4))/12 + (2^(3/4)*3^(1/2)*atan((2^(3/4)*x)/(2*(3^(1/2)*1i + 1)^(3/4)) - (2^(3/4)*3^(1/2)*x*1i)/(2*(3^(1/2)*1i + 1)^(3/4)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 - (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*1i)/(2*(3^(1/2)*1i + 1)^(3/4)) + (2^(3/4)*3^(1/2)*x)/(2*(3^(1/2)*1i + 1)^(3/4)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
364,1,213,370,1.288160,"\text{Not used}","int(1/(x^4*(x^8 - x^4 + 1)),x)","-\frac{1}{3\,x^3}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}-\frac{\sqrt{3}\,x}{{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{1/4}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}-\frac{2^{1/4}\,\sqrt{3}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{1/4}\,x\,1{}\mathrm{i}}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}+\frac{2^{1/4}\,\sqrt{3}\,x}{2\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"(2^(3/4)*3^(1/2)*atan((2^(1/4)*x)/(2*(3^(1/2)*1i + 1)^(1/4)) - (2^(1/4)*3^(1/2)*x*1i)/(2*(3^(1/2)*1i + 1)^(1/4)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 - (3^(1/2)*atan(x/(8 - 3^(1/2)*8i)^(1/4) + (3^(1/2)*x*1i)/(8 - 3^(1/2)*8i)^(1/4))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 - (3^(1/2)*atan((x*1i)/(8 - 3^(1/2)*8i)^(1/4) - (3^(1/2)*x)/(8 - 3^(1/2)*8i)^(1/4))*(8 - 3^(1/2)*8i)^(1/4))/12 - 1/(3*x^3) + (2^(3/4)*3^(1/2)*atan((2^(1/4)*x*1i)/(2*(3^(1/2)*1i + 1)^(1/4)) + (2^(1/4)*3^(1/2)*x)/(2*(3^(1/2)*1i + 1)^(1/4)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
365,1,63,287,1.296411,"\text{Not used}","int(1/(x^6*(x^8 - x^4 + 1)),x)","-\frac{x^4+\frac{1}{5}}{x^5}+\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}+\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}-\frac{2}{3}{}\mathrm{i}}\right)\,\left(\frac{1}{12}-\frac{1}{12}{}\mathrm{i}\right)+\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x\,\left(\frac{1}{3}-\frac{1}{3}{}\mathrm{i}\right)}{\frac{2\,x^2}{3}+\frac{2}{3}{}\mathrm{i}}\right)\,\left(\frac{1}{12}+\frac{1}{12}{}\mathrm{i}\right)","Not used",1,"6^(1/2)*atan((6^(1/2)*x*(1/3 + 1i/3))/((2*x^2)/3 - 2i/3))*(1/12 - 1i/12) + 6^(1/2)*atan((6^(1/2)*x*(1/3 - 1i/3))/((2*x^2)/3 + 2i/3))*(1/12 + 1i/12) - (x^4 + 1/5)/x^5","B"
366,1,486,377,0.064004,"\text{Not used}","int(1/(x^8*(x^8 - x^4 + 1)),x)","-\frac{\frac{x^4}{3}+\frac{1}{7}}{x^7}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}+\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}-\frac{\sqrt{3}\,x\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{3}\,\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}\,1{}\mathrm{i}}{4}+\frac{\sqrt{8-\sqrt{3}\,8{}\mathrm{i}}}{4}\right)}\right)\,{\left(8-\sqrt{3}\,8{}\mathrm{i}\right)}^{1/4}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}-\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{12}-\frac{2^{3/4}\,\sqrt{3}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}+\frac{2^{3/4}\,\sqrt{3}\,x\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{2\,\left(\frac{\sqrt{2}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}}{2}-\frac{\sqrt{2}\,\sqrt{3}\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{1/4}}{12}","Not used",1,"(3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4))/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)) + (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)))*(8 - 3^(1/2)*8i)^(1/4)*1i)/12 - (x^4/3 + 1/7)/x^7 + (3^(1/2)*atan((x*(8 - 3^(1/2)*8i)^(1/4)*1i)/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)) - (3^(1/2)*x*(8 - 3^(1/2)*8i)^(1/4))/(2*((3^(1/2)*(8 - 3^(1/2)*8i)^(1/2)*1i)/4 + (8 - 3^(1/2)*8i)^(1/2)/4)))*(8 - 3^(1/2)*8i)^(1/4))/12 - (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4))/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)) - (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)))*(3^(1/2)*1i + 1)^(1/4)*1i)/12 - (2^(3/4)*3^(1/2)*atan((2^(3/4)*x*(3^(1/2)*1i + 1)^(1/4)*1i)/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)) + (2^(3/4)*3^(1/2)*x*(3^(1/2)*1i + 1)^(1/4))/(2*((2^(1/2)*(3^(1/2)*1i + 1)^(1/2))/2 - (2^(1/2)*3^(1/2)*(3^(1/2)*1i + 1)^(1/2)*1i)/2)))*(3^(1/2)*1i + 1)^(1/4))/12","B"
367,0,-1,117,0.000000,"\text{Not used}","int(x^m/(3*x^4 + x^8 + 1),x)","\int \frac{x^m}{x^8+3\,x^4+1} \,d x","Not used",1,"int(x^m/(3*x^4 + x^8 + 1), x)","F"
368,1,64,62,0.133542,"\text{Not used}","int(x^11/(3*x^4 + x^8 + 1),x)","\frac{7\,\sqrt{5}\,\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{40}-\frac{3\,\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{8}-\frac{3\,\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{8}-\frac{7\,\sqrt{5}\,\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{40}+\frac{x^4}{4}","Not used",1,"(7*5^(1/2)*log(x^4 - 5^(1/2)/2 + 3/2))/40 - (3*log(5^(1/2)/2 + x^4 + 3/2))/8 - (3*log(x^4 - 5^(1/2)/2 + 3/2))/8 - (7*5^(1/2)*log(5^(1/2)/2 + x^4 + 3/2))/40 + x^4/4","B"
369,1,130,90,1.342934,"\text{Not used}","int(x^9/(3*x^4 + x^8 + 1),x)","2\,\mathrm{atanh}\left(\frac{1280\,x^2\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}}{64\,\sqrt{5}-192}+\frac{768\,\sqrt{5}\,x^2\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}}{64\,\sqrt{5}-192}\right)\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}-2\,\mathrm{atanh}\left(\frac{1280\,x^2\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}}{64\,\sqrt{5}+192}-\frac{768\,\sqrt{5}\,x^2\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}}{64\,\sqrt{5}+192}\right)\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}+\frac{x^2}{2}","Not used",1,"2*atanh((1280*x^2*(5^(1/2)/20 - 9/80)^(1/2))/(64*5^(1/2) - 192) + (768*5^(1/2)*x^2*(5^(1/2)/20 - 9/80)^(1/2))/(64*5^(1/2) - 192))*(5^(1/2)/20 - 9/80)^(1/2) - 2*atanh((1280*x^2*(- 5^(1/2)/20 - 9/80)^(1/2))/(64*5^(1/2) + 192) - (768*5^(1/2)*x^2*(- 5^(1/2)/20 - 9/80)^(1/2))/(64*5^(1/2) + 192))*(- 5^(1/2)/20 - 9/80)^(1/2) + x^2/2","B"
370,1,59,55,1.357538,"\text{Not used}","int(x^7/(3*x^4 + x^8 + 1),x)","\frac{\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{8}+\frac{\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{8}-\frac{3\,\sqrt{5}\,\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{40}+\frac{3\,\sqrt{5}\,\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)}{40}","Not used",1,"log(x^4 - 5^(1/2)/2 + 3/2)/8 + log(5^(1/2)/2 + x^4 + 3/2)/8 - (3*5^(1/2)*log(x^4 - 5^(1/2)/2 + 3/2))/40 + (3*5^(1/2)*log(5^(1/2)/2 + x^4 + 3/2))/40","B"
371,1,117,81,0.118947,"\text{Not used}","int(x^5/(3*x^4 + x^8 + 1),x)","2\,\mathrm{atanh}\left(\frac{60\,x^2\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}}{\sqrt{5}+3}+\frac{28\,\sqrt{5}\,x^2\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}}{\sqrt{5}+3}\right)\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}-2\,\mathrm{atanh}\left(\frac{60\,x^2\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}}{\sqrt{5}-3}-\frac{28\,\sqrt{5}\,x^2\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}}{\sqrt{5}-3}\right)\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}","Not used",1,"2*atanh((60*x^2*(5^(1/2)/160 - 3/160)^(1/2))/(5^(1/2) + 3) + (28*5^(1/2)*x^2*(5^(1/2)/160 - 3/160)^(1/2))/(5^(1/2) + 3))*(5^(1/2)/160 - 3/160)^(1/2) - 2*atanh((60*x^2*(- 5^(1/2)/160 - 3/160)^(1/2))/(5^(1/2) - 3) - (28*5^(1/2)*x^2*(- 5^(1/2)/160 - 3/160)^(1/2))/(5^(1/2) - 3))*(- 5^(1/2)/160 - 3/160)^(1/2)","B"
372,1,30,23,1.333346,"\text{Not used}","int(x^3/(3*x^4 + x^8 + 1),x)","\frac{\sqrt{5}\,\mathrm{atanh}\left(\frac{8\,\sqrt{5}\,x^4+3\,\sqrt{5}}{18\,x^4+7}\right)}{10}","Not used",1,"(5^(1/2)*atanh((3*5^(1/2) + 8*5^(1/2)*x^4)/(18*x^4 + 7)))/10","B"
373,1,125,75,0.054029,"\text{Not used}","int(x/(3*x^4 + x^8 + 1),x)","2\,\mathrm{atanh}\left(\frac{160\,x^2\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}}{8\,\sqrt{5}-18}-\frac{72\,\sqrt{5}\,x^2\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}}{8\,\sqrt{5}-18}\right)\,\sqrt{\frac{\sqrt{5}}{160}-\frac{3}{160}}-2\,\mathrm{atanh}\left(\frac{160\,x^2\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}}{8\,\sqrt{5}+18}+\frac{72\,\sqrt{5}\,x^2\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}}{8\,\sqrt{5}+18}\right)\,\sqrt{-\frac{\sqrt{5}}{160}-\frac{3}{160}}","Not used",1,"2*atanh((160*x^2*(5^(1/2)/160 - 3/160)^(1/2))/(8*5^(1/2) - 18) - (72*5^(1/2)*x^2*(5^(1/2)/160 - 3/160)^(1/2))/(8*5^(1/2) - 18))*(5^(1/2)/160 - 3/160)^(1/2) - 2*atanh((160*x^2*(- 5^(1/2)/160 - 3/160)^(1/2))/(8*5^(1/2) + 18) + (72*5^(1/2)*x^2*(- 5^(1/2)/160 - 3/160)^(1/2))/(8*5^(1/2) + 18))*(- 5^(1/2)/160 - 3/160)^(1/2)","B"
374,1,42,57,1.412431,"\text{Not used}","int(1/(x*(3*x^4 + x^8 + 1)),x)","\ln\left(x\right)-\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{40}+\frac{1}{8}\right)+\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{40}-\frac{1}{8}\right)","Not used",1,"log(x) - log(x^4 - 5^(1/2)/2 + 3/2)*((3*5^(1/2))/40 + 1/8) + log(5^(1/2)/2 + x^4 + 3/2)*((3*5^(1/2))/40 - 1/8)","B"
375,1,130,89,1.304409,"\text{Not used}","int(1/(x^3*(3*x^4 + x^8 + 1)),x)","2\,\mathrm{atanh}\left(\frac{26880\,x^2\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}}{3520\,\sqrt{5}+7872}+\frac{12032\,\sqrt{5}\,x^2\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}}{3520\,\sqrt{5}+7872}\right)\,\sqrt{-\frac{\sqrt{5}}{20}-\frac{9}{80}}-2\,\mathrm{atanh}\left(\frac{26880\,x^2\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}}{3520\,\sqrt{5}-7872}-\frac{12032\,\sqrt{5}\,x^2\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}}{3520\,\sqrt{5}-7872}\right)\,\sqrt{\frac{\sqrt{5}}{20}-\frac{9}{80}}-\frac{1}{2\,x^2}","Not used",1,"2*atanh((26880*x^2*(- 5^(1/2)/20 - 9/80)^(1/2))/(3520*5^(1/2) + 7872) + (12032*5^(1/2)*x^2*(- 5^(1/2)/20 - 9/80)^(1/2))/(3520*5^(1/2) + 7872))*(- 5^(1/2)/20 - 9/80)^(1/2) - 2*atanh((26880*x^2*(5^(1/2)/20 - 9/80)^(1/2))/(3520*5^(1/2) - 7872) - (12032*5^(1/2)*x^2*(5^(1/2)/20 - 9/80)^(1/2))/(3520*5^(1/2) - 7872))*(5^(1/2)/20 - 9/80)^(1/2) - 1/(2*x^2)","B"
376,1,49,66,1.358307,"\text{Not used}","int(1/(x^5*(3*x^4 + x^8 + 1)),x)","\ln\left(x^4-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{7\,\sqrt{5}}{40}+\frac{3}{8}\right)-\frac{1}{4\,x^4}-3\,\ln\left(x\right)-\ln\left(x^4+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{7\,\sqrt{5}}{40}-\frac{3}{8}\right)","Not used",1,"log(x^4 - 5^(1/2)/2 + 3/2)*((7*5^(1/2))/40 + 3/8) - 1/(4*x^4) - 3*log(x) - log(5^(1/2)/2 + x^4 + 3/2)*((7*5^(1/2))/40 - 3/8)","B"
377,1,136,97,0.123863,"\text{Not used}","int(1/(x^7*(3*x^4 + x^8 + 1)),x)","2\,\mathrm{atanh}\left(\frac{3327500\,x^2\,\sqrt{\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}}{1140425\,\sqrt{5}-2550075}-\frac{1488300\,\sqrt{5}\,x^2\,\sqrt{\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}}{1140425\,\sqrt{5}-2550075}\right)\,\sqrt{\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}-2\,\mathrm{atanh}\left(\frac{3327500\,x^2\,\sqrt{-\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}}{1140425\,\sqrt{5}+2550075}+\frac{1488300\,\sqrt{5}\,x^2\,\sqrt{-\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}}{1140425\,\sqrt{5}+2550075}\right)\,\sqrt{-\frac{11\,\sqrt{5}}{32}-\frac{123}{160}}+\frac{\frac{3\,x^4}{2}-\frac{1}{6}}{x^6}","Not used",1,"2*atanh((3327500*x^2*((11*5^(1/2))/32 - 123/160)^(1/2))/(1140425*5^(1/2) - 2550075) - (1488300*5^(1/2)*x^2*((11*5^(1/2))/32 - 123/160)^(1/2))/(1140425*5^(1/2) - 2550075))*((11*5^(1/2))/32 - 123/160)^(1/2) - 2*atanh((3327500*x^2*(- (11*5^(1/2))/32 - 123/160)^(1/2))/(1140425*5^(1/2) + 2550075) + (1488300*5^(1/2)*x^2*(- (11*5^(1/2))/32 - 123/160)^(1/2))/(1140425*5^(1/2) + 2550075))*(- (11*5^(1/2))/32 - 123/160)^(1/2) + ((3*x^4)/2 - 1/6)/x^6","B"
378,1,216,460,1.438383,"\text{Not used}","int(x^8/(3*x^4 + x^8 + 1),x)","x-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{3\,2^{1/4}\,x}{2\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}+\frac{2^{1/4}\,\sqrt{5}\,x}{2\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}\right)\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{3\,2^{1/4}\,x}{2\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}-\frac{2^{1/4}\,\sqrt{5}\,x}{2\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}\right)\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{1/4}\,x\,3{}\mathrm{i}}{2\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}+\frac{2^{1/4}\,\sqrt{5}\,x\,1{}\mathrm{i}}{2\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}\right)\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}\,1{}\mathrm{i}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{1/4}\,x\,3{}\mathrm{i}}{2\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}-\frac{2^{1/4}\,\sqrt{5}\,x\,1{}\mathrm{i}}{2\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}\right)\,{\left(55\,\sqrt{5}-123\right)}^{1/4}\,1{}\mathrm{i}}{20}","Not used",1,"x - (2^(3/4)*5^(1/2)*atan((3*2^(1/4)*x)/(2*(- 55*5^(1/2) - 123)^(1/4)) + (2^(1/4)*5^(1/2)*x)/(2*(- 55*5^(1/2) - 123)^(1/4)))*(- 55*5^(1/2) - 123)^(1/4))/20 + (2^(3/4)*5^(1/2)*atan((3*2^(1/4)*x)/(2*(55*5^(1/2) - 123)^(1/4)) - (2^(1/4)*5^(1/2)*x)/(2*(55*5^(1/2) - 123)^(1/4)))*(55*5^(1/2) - 123)^(1/4))/20 + (2^(3/4)*5^(1/2)*atan((2^(1/4)*x*3i)/(2*(- 55*5^(1/2) - 123)^(1/4)) + (2^(1/4)*5^(1/2)*x*1i)/(2*(- 55*5^(1/2) - 123)^(1/4)))*(- 55*5^(1/2) - 123)^(1/4)*1i)/20 - (2^(3/4)*5^(1/2)*atan((2^(1/4)*x*3i)/(2*(55*5^(1/2) - 123)^(1/4)) - (2^(1/4)*5^(1/2)*x*1i)/(2*(55*5^(1/2) - 123)^(1/4)))*(55*5^(1/2) - 123)^(1/4)*1i)/20","B"
379,1,149,431,1.464594,"\text{Not used}","int(x^6/(3*x^4 + x^8 + 1),x)","\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{16\,x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}}{8\,\sqrt{5}+24}\right)\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{16\,x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}}{8\,\sqrt{5}-24}\right)\,{\left(4\,\sqrt{5}-9\right)}^{1/4}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}\,16{}\mathrm{i}}{8\,\sqrt{5}+24}\right)\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}\,16{}\mathrm{i}}{8\,\sqrt{5}-24}\right)\,{\left(4\,\sqrt{5}-9\right)}^{1/4}\,1{}\mathrm{i}}{10}","Not used",1,"(5^(1/2)*atan((16*x*(- 4*5^(1/2) - 9)^(1/4))/(8*5^(1/2) + 24))*(- 4*5^(1/2) - 9)^(1/4))/10 + (5^(1/2)*atan((16*x*(4*5^(1/2) - 9)^(1/4))/(8*5^(1/2) - 24))*(4*5^(1/2) - 9)^(1/4))/10 + (5^(1/2)*atan((x*(- 4*5^(1/2) - 9)^(1/4)*16i)/(8*5^(1/2) + 24))*(- 4*5^(1/2) - 9)^(1/4)*1i)/10 + (5^(1/2)*atan((x*(4*5^(1/2) - 9)^(1/4)*16i)/(8*5^(1/2) - 24))*(4*5^(1/2) - 9)^(1/4)*1i)/10","B"
380,1,454,451,0.196458,"\text{Not used}","int(x^4/(3*x^4 + x^8 + 1),x)","\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{3\,2^{3/4}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-3}}{2}-\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{-\sqrt{5}-3}}{2}\right)}-\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-3}}{2}-\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{-\sqrt{5}-3}}{2}\right)}\right)\,{\left(-\sqrt{5}-3\right)}^{1/4}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}\,3{}\mathrm{i}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-3}}{2}-\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{-\sqrt{5}-3}}{2}\right)}-\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-3}}{2}-\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{-\sqrt{5}-3}}{2}\right)}\right)\,{\left(-\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{3\,2^{3/4}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-3}}{2}+\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{\sqrt{5}-3}}{2}\right)}+\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-3}}{2}+\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{\sqrt{5}-3}}{2}\right)}\right)\,{\left(\sqrt{5}-3\right)}^{1/4}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}\,3{}\mathrm{i}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-3}}{2}+\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{\sqrt{5}-3}}{2}\right)}+\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{2\,\left(\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-3}}{2}+\frac{\sqrt{2}\,\sqrt{5}\,\sqrt{\sqrt{5}-3}}{2}\right)}\right)\,{\left(\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{20}","Not used",1,"(2^(3/4)*5^(1/2)*atan((3*2^(3/4)*x*(- 5^(1/2) - 3)^(1/4))/(2*((3*2^(1/2)*(- 5^(1/2) - 3)^(1/2))/2 - (2^(1/2)*5^(1/2)*(- 5^(1/2) - 3)^(1/2))/2)) - (2^(3/4)*5^(1/2)*x*(- 5^(1/2) - 3)^(1/4))/(2*((3*2^(1/2)*(- 5^(1/2) - 3)^(1/2))/2 - (2^(1/2)*5^(1/2)*(- 5^(1/2) - 3)^(1/2))/2)))*(- 5^(1/2) - 3)^(1/4))/20 - (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(- 5^(1/2) - 3)^(1/4)*3i)/(2*((3*2^(1/2)*(- 5^(1/2) - 3)^(1/2))/2 - (2^(1/2)*5^(1/2)*(- 5^(1/2) - 3)^(1/2))/2)) - (2^(3/4)*5^(1/2)*x*(- 5^(1/2) - 3)^(1/4)*1i)/(2*((3*2^(1/2)*(- 5^(1/2) - 3)^(1/2))/2 - (2^(1/2)*5^(1/2)*(- 5^(1/2) - 3)^(1/2))/2)))*(- 5^(1/2) - 3)^(1/4)*1i)/20 - (2^(3/4)*5^(1/2)*atan((3*2^(3/4)*x*(5^(1/2) - 3)^(1/4))/(2*((3*2^(1/2)*(5^(1/2) - 3)^(1/2))/2 + (2^(1/2)*5^(1/2)*(5^(1/2) - 3)^(1/2))/2)) + (2^(3/4)*5^(1/2)*x*(5^(1/2) - 3)^(1/4))/(2*((3*2^(1/2)*(5^(1/2) - 3)^(1/2))/2 + (2^(1/2)*5^(1/2)*(5^(1/2) - 3)^(1/2))/2)))*(5^(1/2) - 3)^(1/4))/20 + (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(5^(1/2) - 3)^(1/4)*3i)/(2*((3*2^(1/2)*(5^(1/2) - 3)^(1/2))/2 + (2^(1/2)*5^(1/2)*(5^(1/2) - 3)^(1/2))/2)) + (2^(3/4)*5^(1/2)*x*(5^(1/2) - 3)^(1/4)*1i)/(2*((3*2^(1/2)*(5^(1/2) - 3)^(1/2))/2 + (2^(1/2)*5^(1/2)*(5^(1/2) - 3)^(1/2))/2)))*(5^(1/2) - 3)^(1/4)*1i)/20","B"
381,1,275,427,0.086458,"\text{Not used}","int(x^2/(3*x^4 + x^8 + 1),x)","\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{7\,2^{3/4}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}}{2\,\left(3\,\sqrt{5}-7\right)}-\frac{3\,2^{3/4}\,\sqrt{5}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}}{2\,\left(3\,\sqrt{5}-7\right)}\right)\,{\left(\sqrt{5}-3\right)}^{1/4}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}\,7{}\mathrm{i}}{2\,\left(3\,\sqrt{5}-7\right)}-\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(\sqrt{5}-3\right)}^{1/4}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}-7\right)}\right)\,{\left(\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{7\,2^{3/4}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}}{2\,\left(3\,\sqrt{5}+7\right)}+\frac{3\,2^{3/4}\,\sqrt{5}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}}{2\,\left(3\,\sqrt{5}+7\right)}\right)\,{\left(-\sqrt{5}-3\right)}^{1/4}}{20}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}\,7{}\mathrm{i}}{2\,\left(3\,\sqrt{5}+7\right)}+\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(-\sqrt{5}-3\right)}^{1/4}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}+7\right)}\right)\,{\left(-\sqrt{5}-3\right)}^{1/4}\,1{}\mathrm{i}}{20}","Not used",1,"(2^(3/4)*5^(1/2)*atan((7*2^(3/4)*x*(5^(1/2) - 3)^(1/4))/(2*(3*5^(1/2) - 7)) - (3*2^(3/4)*5^(1/2)*x*(5^(1/2) - 3)^(1/4))/(2*(3*5^(1/2) - 7)))*(5^(1/2) - 3)^(1/4))/20 + (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(5^(1/2) - 3)^(1/4)*7i)/(2*(3*5^(1/2) - 7)) - (2^(3/4)*5^(1/2)*x*(5^(1/2) - 3)^(1/4)*3i)/(2*(3*5^(1/2) - 7)))*(5^(1/2) - 3)^(1/4)*1i)/20 + (2^(3/4)*5^(1/2)*atan((7*2^(3/4)*x*(- 5^(1/2) - 3)^(1/4))/(2*(3*5^(1/2) + 7)) + (3*2^(3/4)*5^(1/2)*x*(- 5^(1/2) - 3)^(1/4))/(2*(3*5^(1/2) + 7)))*(- 5^(1/2) - 3)^(1/4))/20 + (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(- 5^(1/2) - 3)^(1/4)*7i)/(2*(3*5^(1/2) + 7)) + (2^(3/4)*5^(1/2)*x*(- 5^(1/2) - 3)^(1/4)*3i)/(2*(3*5^(1/2) + 7)))*(- 5^(1/2) - 3)^(1/4)*1i)/20","B"
382,1,403,414,0.082624,"\text{Not used}","int(1/(3*x^4 + x^8 + 1),x)","\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{144\,x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}}{24\,\sqrt{5}\,\sqrt{-4\,\sqrt{5}-9}+56\,\sqrt{-4\,\sqrt{5}-9}}+\frac{64\,\sqrt{5}\,x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}}{24\,\sqrt{5}\,\sqrt{-4\,\sqrt{5}-9}+56\,\sqrt{-4\,\sqrt{5}-9}}\right)\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{144\,x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}}{24\,\sqrt{5}\,\sqrt{4\,\sqrt{5}-9}-56\,\sqrt{4\,\sqrt{5}-9}}-\frac{64\,\sqrt{5}\,x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}}{24\,\sqrt{5}\,\sqrt{4\,\sqrt{5}-9}-56\,\sqrt{4\,\sqrt{5}-9}}\right)\,{\left(4\,\sqrt{5}-9\right)}^{1/4}}{10}-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}\,144{}\mathrm{i}}{24\,\sqrt{5}\,\sqrt{-4\,\sqrt{5}-9}+56\,\sqrt{-4\,\sqrt{5}-9}}+\frac{\sqrt{5}\,x\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}\,64{}\mathrm{i}}{24\,\sqrt{5}\,\sqrt{-4\,\sqrt{5}-9}+56\,\sqrt{-4\,\sqrt{5}-9}}\right)\,{\left(-4\,\sqrt{5}-9\right)}^{1/4}\,1{}\mathrm{i}}{10}-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}\,144{}\mathrm{i}}{24\,\sqrt{5}\,\sqrt{4\,\sqrt{5}-9}-56\,\sqrt{4\,\sqrt{5}-9}}-\frac{\sqrt{5}\,x\,{\left(4\,\sqrt{5}-9\right)}^{1/4}\,64{}\mathrm{i}}{24\,\sqrt{5}\,\sqrt{4\,\sqrt{5}-9}-56\,\sqrt{4\,\sqrt{5}-9}}\right)\,{\left(4\,\sqrt{5}-9\right)}^{1/4}\,1{}\mathrm{i}}{10}","Not used",1,"(5^(1/2)*atan((144*x*(- 4*5^(1/2) - 9)^(1/4))/(24*5^(1/2)*(- 4*5^(1/2) - 9)^(1/2) + 56*(- 4*5^(1/2) - 9)^(1/2)) + (64*5^(1/2)*x*(- 4*5^(1/2) - 9)^(1/4))/(24*5^(1/2)*(- 4*5^(1/2) - 9)^(1/2) + 56*(- 4*5^(1/2) - 9)^(1/2)))*(- 4*5^(1/2) - 9)^(1/4))/10 + (5^(1/2)*atan((144*x*(4*5^(1/2) - 9)^(1/4))/(24*5^(1/2)*(4*5^(1/2) - 9)^(1/2) - 56*(4*5^(1/2) - 9)^(1/2)) - (64*5^(1/2)*x*(4*5^(1/2) - 9)^(1/4))/(24*5^(1/2)*(4*5^(1/2) - 9)^(1/2) - 56*(4*5^(1/2) - 9)^(1/2)))*(4*5^(1/2) - 9)^(1/4))/10 - (5^(1/2)*atan((x*(- 4*5^(1/2) - 9)^(1/4)*144i)/(24*5^(1/2)*(- 4*5^(1/2) - 9)^(1/2) + 56*(- 4*5^(1/2) - 9)^(1/2)) + (5^(1/2)*x*(- 4*5^(1/2) - 9)^(1/4)*64i)/(24*5^(1/2)*(- 4*5^(1/2) - 9)^(1/2) + 56*(- 4*5^(1/2) - 9)^(1/2)))*(- 4*5^(1/2) - 9)^(1/4)*1i)/10 - (5^(1/2)*atan((x*(4*5^(1/2) - 9)^(1/4)*144i)/(24*5^(1/2)*(4*5^(1/2) - 9)^(1/2) - 56*(4*5^(1/2) - 9)^(1/2)) - (5^(1/2)*x*(4*5^(1/2) - 9)^(1/4)*64i)/(24*5^(1/2)*(4*5^(1/2) - 9)^(1/2) - 56*(4*5^(1/2) - 9)^(1/2)))*(4*5^(1/2) - 9)^(1/4)*1i)/10","B"
383,1,292,416,1.290763,"\text{Not used}","int(1/(x^2*(3*x^4 + x^8 + 1)),x)","-\frac{1}{x}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2585\,2^{3/4}\,x\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}{2\,\left(3025\,\sqrt{5}+6765\right)}+\frac{1155\,2^{3/4}\,\sqrt{5}\,x\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}{2\,\left(3025\,\sqrt{5}+6765\right)}\right)\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2585\,2^{3/4}\,x\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}{2\,\left(3025\,\sqrt{5}-6765\right)}-\frac{1155\,2^{3/4}\,\sqrt{5}\,x\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}{2\,\left(3025\,\sqrt{5}-6765\right)}\right)\,{\left(55\,\sqrt{5}-123\right)}^{1/4}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}\,2585{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}+\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}\right)\,{\left(-55\,\sqrt{5}-123\right)}^{1/4}\,1{}\mathrm{i}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(55\,\sqrt{5}-123\right)}^{1/4}\,2585{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}-\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(55\,\sqrt{5}-123\right)}^{1/4}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}\right)\,{\left(55\,\sqrt{5}-123\right)}^{1/4}\,1{}\mathrm{i}}{20}","Not used",1,"- 1/x - (2^(3/4)*5^(1/2)*atan((2585*2^(3/4)*x*(- 55*5^(1/2) - 123)^(1/4))/(2*(3025*5^(1/2) + 6765)) + (1155*2^(3/4)*5^(1/2)*x*(- 55*5^(1/2) - 123)^(1/4))/(2*(3025*5^(1/2) + 6765)))*(- 55*5^(1/2) - 123)^(1/4))/20 - (2^(3/4)*5^(1/2)*atan((2585*2^(3/4)*x*(55*5^(1/2) - 123)^(1/4))/(2*(3025*5^(1/2) - 6765)) - (1155*2^(3/4)*5^(1/2)*x*(55*5^(1/2) - 123)^(1/4))/(2*(3025*5^(1/2) - 6765)))*(55*5^(1/2) - 123)^(1/4))/20 - (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(- 55*5^(1/2) - 123)^(1/4)*2585i)/(2*(3025*5^(1/2) + 6765)) + (2^(3/4)*5^(1/2)*x*(- 55*5^(1/2) - 123)^(1/4)*1155i)/(2*(3025*5^(1/2) + 6765)))*(- 55*5^(1/2) - 123)^(1/4)*1i)/20 - (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(55*5^(1/2) - 123)^(1/4)*2585i)/(2*(3025*5^(1/2) - 6765)) - (2^(3/4)*5^(1/2)*x*(55*5^(1/2) - 123)^(1/4)*1155i)/(2*(3025*5^(1/2) - 6765)))*(55*5^(1/2) - 123)^(1/4)*1i)/20","B"
384,1,492,466,0.183990,"\text{Not used}","int(1/(x^4*(3*x^4 + x^8 + 1)),x)","\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{46371\,2^{3/4}\,x\,{\left(377\,\sqrt{5}-843\right)}^{1/4}}{2\,\left(3393\,\sqrt{2}\,\sqrt{377\,\sqrt{5}-843}-1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{377\,\sqrt{5}-843}\right)}-\frac{20735\,2^{3/4}\,\sqrt{5}\,x\,{\left(377\,\sqrt{5}-843\right)}^{1/4}}{2\,\left(3393\,\sqrt{2}\,\sqrt{377\,\sqrt{5}-843}-1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{377\,\sqrt{5}-843}\right)}\right)\,{\left(377\,\sqrt{5}-843\right)}^{1/4}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{46371\,2^{3/4}\,x\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}}{2\,\left(3393\,\sqrt{2}\,\sqrt{-377\,\sqrt{5}-843}+1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{-377\,\sqrt{5}-843}\right)}+\frac{20735\,2^{3/4}\,\sqrt{5}\,x\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}}{2\,\left(3393\,\sqrt{2}\,\sqrt{-377\,\sqrt{5}-843}+1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{-377\,\sqrt{5}-843}\right)}\right)\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}}{20}-\frac{1}{3\,x^3}+\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}\,46371{}\mathrm{i}}{2\,\left(3393\,\sqrt{2}\,\sqrt{-377\,\sqrt{5}-843}+1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{-377\,\sqrt{5}-843}\right)}+\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}\,20735{}\mathrm{i}}{2\,\left(3393\,\sqrt{2}\,\sqrt{-377\,\sqrt{5}-843}+1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{-377\,\sqrt{5}-843}\right)}\right)\,{\left(-377\,\sqrt{5}-843\right)}^{1/4}\,1{}\mathrm{i}}{20}-\frac{2^{3/4}\,\sqrt{5}\,\mathrm{atan}\left(\frac{2^{3/4}\,x\,{\left(377\,\sqrt{5}-843\right)}^{1/4}\,46371{}\mathrm{i}}{2\,\left(3393\,\sqrt{2}\,\sqrt{377\,\sqrt{5}-843}-1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{377\,\sqrt{5}-843}\right)}-\frac{2^{3/4}\,\sqrt{5}\,x\,{\left(377\,\sqrt{5}-843\right)}^{1/4}\,20735{}\mathrm{i}}{2\,\left(3393\,\sqrt{2}\,\sqrt{377\,\sqrt{5}-843}-1508\,\sqrt{2}\,\sqrt{5}\,\sqrt{377\,\sqrt{5}-843}\right)}\right)\,{\left(377\,\sqrt{5}-843\right)}^{1/4}\,1{}\mathrm{i}}{20}","Not used",1,"(2^(3/4)*5^(1/2)*atan((46371*2^(3/4)*x*(377*5^(1/2) - 843)^(1/4))/(2*(3393*2^(1/2)*(377*5^(1/2) - 843)^(1/2) - 1508*2^(1/2)*5^(1/2)*(377*5^(1/2) - 843)^(1/2))) - (20735*2^(3/4)*5^(1/2)*x*(377*5^(1/2) - 843)^(1/4))/(2*(3393*2^(1/2)*(377*5^(1/2) - 843)^(1/2) - 1508*2^(1/2)*5^(1/2)*(377*5^(1/2) - 843)^(1/2))))*(377*5^(1/2) - 843)^(1/4))/20 - (2^(3/4)*5^(1/2)*atan((46371*2^(3/4)*x*(- 377*5^(1/2) - 843)^(1/4))/(2*(3393*2^(1/2)*(- 377*5^(1/2) - 843)^(1/2) + 1508*2^(1/2)*5^(1/2)*(- 377*5^(1/2) - 843)^(1/2))) + (20735*2^(3/4)*5^(1/2)*x*(- 377*5^(1/2) - 843)^(1/4))/(2*(3393*2^(1/2)*(- 377*5^(1/2) - 843)^(1/2) + 1508*2^(1/2)*5^(1/2)*(- 377*5^(1/2) - 843)^(1/2))))*(- 377*5^(1/2) - 843)^(1/4))/20 - 1/(3*x^3) + (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(- 377*5^(1/2) - 843)^(1/4)*46371i)/(2*(3393*2^(1/2)*(- 377*5^(1/2) - 843)^(1/2) + 1508*2^(1/2)*5^(1/2)*(- 377*5^(1/2) - 843)^(1/2))) + (2^(3/4)*5^(1/2)*x*(- 377*5^(1/2) - 843)^(1/4)*20735i)/(2*(3393*2^(1/2)*(- 377*5^(1/2) - 843)^(1/2) + 1508*2^(1/2)*5^(1/2)*(- 377*5^(1/2) - 843)^(1/2))))*(- 377*5^(1/2) - 843)^(1/4)*1i)/20 - (2^(3/4)*5^(1/2)*atan((2^(3/4)*x*(377*5^(1/2) - 843)^(1/4)*46371i)/(2*(3393*2^(1/2)*(377*5^(1/2) - 843)^(1/2) - 1508*2^(1/2)*5^(1/2)*(377*5^(1/2) - 843)^(1/2))) - (2^(3/4)*5^(1/2)*x*(377*5^(1/2) - 843)^(1/4)*20735i)/(2*(3393*2^(1/2)*(377*5^(1/2) - 843)^(1/2) - 1508*2^(1/2)*5^(1/2)*(377*5^(1/2) - 843)^(1/2))))*(377*5^(1/2) - 843)^(1/4)*1i)/20","B"
385,0,-1,117,0.000000,"\text{Not used}","int(x^m/(x^8 - 3*x^4 + 1),x)","\int \frac{x^m}{x^8-3\,x^4+1} \,d x","Not used",1,"int(x^m/(x^8 - 3*x^4 + 1), x)","F"
386,1,64,62,0.120268,"\text{Not used}","int(x^11/(x^8 - 3*x^4 + 1),x)","\frac{3\,\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{8}+\frac{3\,\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{8}+\frac{7\,\sqrt{5}\,\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{40}-\frac{7\,\sqrt{5}\,\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{40}+\frac{x^4}{4}","Not used",1,"(3*log(x^4 - 5^(1/2)/2 - 3/2))/8 + (3*log(5^(1/2)/2 + x^4 - 3/2))/8 + (7*5^(1/2)*log(x^4 - 5^(1/2)/2 - 3/2))/40 - (7*5^(1/2)*log(5^(1/2)/2 + x^4 - 3/2))/40 + x^4/4","B"
387,1,90,90,1.327796,"\text{Not used}","int(x^9/(x^8 - 3*x^4 + 1),x)","\frac{x^2}{2}-\mathrm{atanh}\left(\frac{64\,x^2}{64\,\sqrt{5}+192}+\frac{64\,\sqrt{5}\,x^2}{64\,\sqrt{5}+192}\right)\,\left(\frac{\sqrt{5}}{5}+\frac{1}{2}\right)-\mathrm{atanh}\left(\frac{64\,x^2}{64\,\sqrt{5}-192}-\frac{64\,\sqrt{5}\,x^2}{64\,\sqrt{5}-192}\right)\,\left(\frac{\sqrt{5}}{5}-\frac{1}{2}\right)","Not used",1,"x^2/2 - atanh((64*x^2)/(64*5^(1/2) + 192) + (64*5^(1/2)*x^2)/(64*5^(1/2) + 192))*(5^(1/2)/5 + 1/2) - atanh((64*x^2)/(64*5^(1/2) - 192) - (64*5^(1/2)*x^2)/(64*5^(1/2) - 192))*(5^(1/2)/5 - 1/2)","B"
388,1,59,55,0.101928,"\text{Not used}","int(x^7/(x^8 - 3*x^4 + 1),x)","\frac{\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{8}+\frac{\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{8}+\frac{3\,\sqrt{5}\,\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{40}-\frac{3\,\sqrt{5}\,\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)}{40}","Not used",1,"log(x^4 - 5^(1/2)/2 - 3/2)/8 + log(5^(1/2)/2 + x^4 - 3/2)/8 + (3*5^(1/2)*log(x^4 - 5^(1/2)/2 - 3/2))/40 - (3*5^(1/2)*log(5^(1/2)/2 + x^4 - 3/2))/40","B"
389,1,77,81,1.380589,"\text{Not used}","int(x^5/(x^8 - 3*x^4 + 1),x)","-\mathrm{atanh}\left(\frac{4\,x^2}{\sqrt{5}-3}-\frac{2\,\sqrt{5}\,x^2}{\sqrt{5}-3}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{1}{4}\right)-\mathrm{atanh}\left(\frac{4\,x^2}{\sqrt{5}+3}+\frac{2\,\sqrt{5}\,x^2}{\sqrt{5}+3}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{1}{4}\right)","Not used",1,"- atanh((4*x^2)/(5^(1/2) - 3) - (2*5^(1/2)*x^2)/(5^(1/2) - 3))*(5^(1/2)/20 + 1/4) - atanh((4*x^2)/(5^(1/2) + 3) + (2*5^(1/2)*x^2)/(5^(1/2) + 3))*(5^(1/2)/20 - 1/4)","B"
390,1,30,23,1.569629,"\text{Not used}","int(x^3/(x^8 - 3*x^4 + 1),x)","\frac{\sqrt{5}\,\mathrm{atanh}\left(\frac{3\,\sqrt{5}-8\,\sqrt{5}\,x^4}{18\,x^4-7}\right)}{10}","Not used",1,"(5^(1/2)*atanh((3*5^(1/2) - 8*5^(1/2)*x^4)/(18*x^4 - 7)))/10","B"
391,1,83,75,1.302036,"\text{Not used}","int(x/(x^8 - 3*x^4 + 1),x)","\mathrm{atanh}\left(\frac{29\,x^2}{8\,\sqrt{5}-18}-\frac{13\,\sqrt{5}\,x^2}{8\,\sqrt{5}-18}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{1}{4}\right)+\mathrm{atanh}\left(\frac{29\,x^2}{8\,\sqrt{5}+18}+\frac{13\,\sqrt{5}\,x^2}{8\,\sqrt{5}+18}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{1}{4}\right)","Not used",1,"atanh((29*x^2)/(8*5^(1/2) - 18) - (13*5^(1/2)*x^2)/(8*5^(1/2) - 18))*(5^(1/2)/20 - 1/4) + atanh((29*x^2)/(8*5^(1/2) + 18) + (13*5^(1/2)*x^2)/(8*5^(1/2) + 18))*(5^(1/2)/20 + 1/4)","B"
392,1,42,57,0.429096,"\text{Not used}","int(1/(x*(x^8 - 3*x^4 + 1)),x)","\ln\left(x\right)+\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{40}-\frac{1}{8}\right)-\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{40}+\frac{1}{8}\right)","Not used",1,"log(x) + log(x^4 - 5^(1/2)/2 - 3/2)*((3*5^(1/2))/40 - 1/8) - log(5^(1/2)/2 + x^4 - 3/2)*((3*5^(1/2))/40 + 1/8)","B"
393,1,88,89,0.063944,"\text{Not used}","int(1/(x^3*(x^8 - 3*x^4 + 1)),x)","\mathrm{atanh}\left(\frac{12736\,x^2}{3520\,\sqrt{5}-7872}-\frac{5696\,\sqrt{5}\,x^2}{3520\,\sqrt{5}-7872}\right)\,\left(\frac{\sqrt{5}}{5}-\frac{1}{2}\right)+\mathrm{atanh}\left(\frac{12736\,x^2}{3520\,\sqrt{5}+7872}+\frac{5696\,\sqrt{5}\,x^2}{3520\,\sqrt{5}+7872}\right)\,\left(\frac{\sqrt{5}}{5}+\frac{1}{2}\right)-\frac{1}{2\,x^2}","Not used",1,"atanh((12736*x^2)/(3520*5^(1/2) - 7872) - (5696*5^(1/2)*x^2)/(3520*5^(1/2) - 7872))*(5^(1/2)/5 - 1/2) + atanh((12736*x^2)/(3520*5^(1/2) + 7872) + (5696*5^(1/2)*x^2)/(3520*5^(1/2) + 7872))*(5^(1/2)/5 + 1/2) - 1/(2*x^2)","B"
394,1,49,66,1.347683,"\text{Not used}","int(1/(x^5*(x^8 - 3*x^4 + 1)),x)","3\,\ln\left(x\right)-\frac{1}{4\,x^4}+\ln\left(x^4-\frac{\sqrt{5}}{2}-\frac{3}{2}\right)\,\left(\frac{7\,\sqrt{5}}{40}-\frac{3}{8}\right)-\ln\left(x^4+\frac{\sqrt{5}}{2}-\frac{3}{2}\right)\,\left(\frac{7\,\sqrt{5}}{40}+\frac{3}{8}\right)","Not used",1,"3*log(x) - 1/(4*x^4) + log(x^4 - 5^(1/2)/2 - 3/2)*((7*5^(1/2))/40 - 3/8) - log(5^(1/2)/2 + x^4 - 3/2)*((7*5^(1/2))/40 + 3/8)","B"
395,1,95,97,1.384575,"\text{Not used}","int(1/(x^7*(x^8 - 3*x^4 + 1)),x)","\mathrm{atanh}\left(\frac{4126100\,x^2}{1140425\,\sqrt{5}-2550075}-\frac{1845250\,\sqrt{5}\,x^2}{1140425\,\sqrt{5}-2550075}\right)\,\left(\frac{11\,\sqrt{5}}{20}-\frac{5}{4}\right)+\mathrm{atanh}\left(\frac{4126100\,x^2}{1140425\,\sqrt{5}+2550075}+\frac{1845250\,\sqrt{5}\,x^2}{1140425\,\sqrt{5}+2550075}\right)\,\left(\frac{11\,\sqrt{5}}{20}+\frac{5}{4}\right)-\frac{\frac{3\,x^4}{2}+\frac{1}{6}}{x^6}","Not used",1,"atanh((4126100*x^2)/(1140425*5^(1/2) - 2550075) - (1845250*5^(1/2)*x^2)/(1140425*5^(1/2) - 2550075))*((11*5^(1/2))/20 - 5/4) + atanh((4126100*x^2)/(1140425*5^(1/2) + 2550075) + (1845250*5^(1/2)*x^2)/(1140425*5^(1/2) + 2550075))*((11*5^(1/2))/20 + 5/4) - ((3*x^4)/2 + 1/6)/x^6","B"
396,1,246,170,1.444768,"\text{Not used}","int(x^8/(x^8 - 3*x^4 + 1),x)","x-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{-50\,\sqrt{5}-110}\,55{}\mathrm{i}}{2\,\left(275\,\sqrt{5}+605\right)}+\frac{\sqrt{5}\,x\,\sqrt{-50\,\sqrt{5}-110}\,33{}\mathrm{i}}{2\,\left(275\,\sqrt{5}+605\right)}\right)\,\sqrt{-50\,\sqrt{5}-110}\,1{}\mathrm{i}}{20}-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{110-50\,\sqrt{5}}\,55{}\mathrm{i}}{2\,\left(275\,\sqrt{5}-605\right)}-\frac{\sqrt{5}\,x\,\sqrt{110-50\,\sqrt{5}}\,33{}\mathrm{i}}{2\,\left(275\,\sqrt{5}-605\right)}\right)\,\sqrt{110-50\,\sqrt{5}}\,1{}\mathrm{i}}{20}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{50\,\sqrt{5}-110}\,55{}\mathrm{i}}{2\,\left(275\,\sqrt{5}-605\right)}-\frac{\sqrt{5}\,x\,\sqrt{50\,\sqrt{5}-110}\,33{}\mathrm{i}}{2\,\left(275\,\sqrt{5}-605\right)}\right)\,\sqrt{50\,\sqrt{5}-110}\,1{}\mathrm{i}}{20}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{50\,\sqrt{5}+110}\,55{}\mathrm{i}}{2\,\left(275\,\sqrt{5}+605\right)}+\frac{\sqrt{5}\,x\,\sqrt{50\,\sqrt{5}+110}\,33{}\mathrm{i}}{2\,\left(275\,\sqrt{5}+605\right)}\right)\,\sqrt{50\,\sqrt{5}+110}\,1{}\mathrm{i}}{20}","Not used",1,"x - (atan((x*(- 50*5^(1/2) - 110)^(1/2)*55i)/(2*(275*5^(1/2) + 605)) + (5^(1/2)*x*(- 50*5^(1/2) - 110)^(1/2)*33i)/(2*(275*5^(1/2) + 605)))*(- 50*5^(1/2) - 110)^(1/2)*1i)/20 - (atan((x*(110 - 50*5^(1/2))^(1/2)*55i)/(2*(275*5^(1/2) - 605)) - (5^(1/2)*x*(110 - 50*5^(1/2))^(1/2)*33i)/(2*(275*5^(1/2) - 605)))*(110 - 50*5^(1/2))^(1/2)*1i)/20 + (atan((x*(50*5^(1/2) - 110)^(1/2)*55i)/(2*(275*5^(1/2) - 605)) - (5^(1/2)*x*(50*5^(1/2) - 110)^(1/2)*33i)/(2*(275*5^(1/2) - 605)))*(50*5^(1/2) - 110)^(1/2)*1i)/20 + (atan((x*(50*5^(1/2) + 110)^(1/2)*55i)/(2*(275*5^(1/2) + 605)) + (5^(1/2)*x*(50*5^(1/2) + 110)^(1/2)*33i)/(2*(275*5^(1/2) + 605)))*(50*5^(1/2) + 110)^(1/2)*1i)/20","B"
397,1,147,167,0.193996,"\text{Not used}","int(x^6/(x^8 - 3*x^4 + 1),x)","\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{16\,x\,\sqrt{2-\sqrt{5}}}{8\,\sqrt{5}-24}\right)\,\sqrt{\sqrt{5}-2}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{16\,x\,\sqrt{-\sqrt{5}-2}}{8\,\sqrt{5}+24}\right)\,\sqrt{\sqrt{5}+2}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{2-\sqrt{5}}\,16{}\mathrm{i}}{8\,\sqrt{5}-24}\right)\,\sqrt{2-\sqrt{5}}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{5}-2}\,16{}\mathrm{i}}{8\,\sqrt{5}+24}\right)\,\sqrt{-\sqrt{5}-2}\,1{}\mathrm{i}}{10}","Not used",1,"(5^(1/2)*atan((16*x*(2 - 5^(1/2))^(1/2))/(8*5^(1/2) - 24))*(5^(1/2) - 2)^(1/2)*1i)/10 + (5^(1/2)*atan((16*x*(- 5^(1/2) - 2)^(1/2))/(8*5^(1/2) + 24))*(5^(1/2) + 2)^(1/2)*1i)/10 + (5^(1/2)*atan((x*(2 - 5^(1/2))^(1/2)*16i)/(8*5^(1/2) - 24))*(2 - 5^(1/2))^(1/2)*1i)/10 + (5^(1/2)*atan((x*(- 5^(1/2) - 2)^(1/2)*16i)/(8*5^(1/2) + 24))*(- 5^(1/2) - 2)^(1/2)*1i)/10","B"
398,1,269,173,1.472028,"\text{Not used}","int(x^4/(x^8 - 3*x^4 + 1),x)","\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{-\sqrt{5}-1}\,1{}\mathrm{i}}{2\,\left(\sqrt{5}-1\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{-\sqrt{5}-1}\,3{}\mathrm{i}}{10\,\left(\sqrt{5}-1\right)}\right)\,\sqrt{-\sqrt{5}-1}\,1{}\mathrm{i}}{20}+\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{1-\sqrt{5}}\,1{}\mathrm{i}}{2\,\left(\sqrt{5}+1\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{1-\sqrt{5}}\,3{}\mathrm{i}}{10\,\left(\sqrt{5}+1\right)}\right)\,\sqrt{1-\sqrt{5}}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{\sqrt{5}+1}\,1{}\mathrm{i}}{2\,\left(\sqrt{5}-1\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{\sqrt{5}+1}\,3{}\mathrm{i}}{10\,\left(\sqrt{5}-1\right)}\right)\,\sqrt{\sqrt{5}+1}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{\sqrt{5}-1}\,1{}\mathrm{i}}{2\,\left(\sqrt{5}+1\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{\sqrt{5}-1}\,3{}\mathrm{i}}{10\,\left(\sqrt{5}+1\right)}\right)\,\sqrt{\sqrt{5}-1}\,1{}\mathrm{i}}{20}","Not used",1,"(10^(1/2)*atan((10^(1/2)*x*(- 5^(1/2) - 1)^(1/2)*1i)/(2*(5^(1/2) - 1)) - (5^(1/2)*10^(1/2)*x*(- 5^(1/2) - 1)^(1/2)*3i)/(10*(5^(1/2) - 1)))*(- 5^(1/2) - 1)^(1/2)*1i)/20 + (10^(1/2)*atan((10^(1/2)*x*(1 - 5^(1/2))^(1/2)*1i)/(2*(5^(1/2) + 1)) + (5^(1/2)*10^(1/2)*x*(1 - 5^(1/2))^(1/2)*3i)/(10*(5^(1/2) + 1)))*(1 - 5^(1/2))^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(5^(1/2) + 1)^(1/2)*1i)/(2*(5^(1/2) - 1)) - (5^(1/2)*10^(1/2)*x*(5^(1/2) + 1)^(1/2)*3i)/(10*(5^(1/2) - 1)))*(5^(1/2) + 1)^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(5^(1/2) - 1)^(1/2)*1i)/(2*(5^(1/2) + 1)) + (5^(1/2)*10^(1/2)*x*(5^(1/2) - 1)^(1/2)*3i)/(10*(5^(1/2) + 1)))*(5^(1/2) - 1)^(1/2)*1i)/20","B"
399,1,269,145,0.080693,"\text{Not used}","int(x^2/(x^8 - 3*x^4 + 1),x)","\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{\sqrt{5}-1}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}-7\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{\sqrt{5}-1}\,7{}\mathrm{i}}{10\,\left(3\,\sqrt{5}-7\right)}\right)\,\sqrt{\sqrt{5}-1}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{\sqrt{5}+1}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}+7\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{\sqrt{5}+1}\,7{}\mathrm{i}}{10\,\left(3\,\sqrt{5}+7\right)}\right)\,\sqrt{\sqrt{5}+1}\,1{}\mathrm{i}}{20}+\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{1-\sqrt{5}}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}-7\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{1-\sqrt{5}}\,7{}\mathrm{i}}{10\,\left(3\,\sqrt{5}-7\right)}\right)\,\sqrt{1-\sqrt{5}}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{-\sqrt{5}-1}\,3{}\mathrm{i}}{2\,\left(3\,\sqrt{5}+7\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{-\sqrt{5}-1}\,7{}\mathrm{i}}{10\,\left(3\,\sqrt{5}+7\right)}\right)\,\sqrt{-\sqrt{5}-1}\,1{}\mathrm{i}}{20}","Not used",1,"(10^(1/2)*atan((10^(1/2)*x*(5^(1/2) - 1)^(1/2)*3i)/(2*(3*5^(1/2) - 7)) - (5^(1/2)*10^(1/2)*x*(5^(1/2) - 1)^(1/2)*7i)/(10*(3*5^(1/2) - 7)))*(5^(1/2) - 1)^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(5^(1/2) + 1)^(1/2)*3i)/(2*(3*5^(1/2) + 7)) + (5^(1/2)*10^(1/2)*x*(5^(1/2) + 1)^(1/2)*7i)/(10*(3*5^(1/2) + 7)))*(5^(1/2) + 1)^(1/2)*1i)/20 + (10^(1/2)*atan((10^(1/2)*x*(1 - 5^(1/2))^(1/2)*3i)/(2*(3*5^(1/2) - 7)) - (5^(1/2)*10^(1/2)*x*(1 - 5^(1/2))^(1/2)*7i)/(10*(3*5^(1/2) - 7)))*(1 - 5^(1/2))^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(- 5^(1/2) - 1)^(1/2)*3i)/(2*(3*5^(1/2) + 7)) + (5^(1/2)*10^(1/2)*x*(- 5^(1/2) - 1)^(1/2)*7i)/(10*(3*5^(1/2) + 7)))*(- 5^(1/2) - 1)^(1/2)*1i)/20","B"
400,1,245,169,0.078925,"\text{Not used}","int(1/(x^8 - 3*x^4 + 1),x)","-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{2-\sqrt{5}}\,144{}\mathrm{i}}{104\,\sqrt{5}-232}-\frac{\sqrt{5}\,x\,\sqrt{2-\sqrt{5}}\,64{}\mathrm{i}}{104\,\sqrt{5}-232}\right)\,\sqrt{2-\sqrt{5}}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{5}-2}\,144{}\mathrm{i}}{104\,\sqrt{5}+232}+\frac{\sqrt{5}\,x\,\sqrt{-\sqrt{5}-2}\,64{}\mathrm{i}}{104\,\sqrt{5}+232}\right)\,\sqrt{-\sqrt{5}-2}\,1{}\mathrm{i}}{10}+\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{5}-2}\,144{}\mathrm{i}}{104\,\sqrt{5}-232}-\frac{\sqrt{5}\,x\,\sqrt{\sqrt{5}-2}\,64{}\mathrm{i}}{104\,\sqrt{5}-232}\right)\,\sqrt{\sqrt{5}-2}\,1{}\mathrm{i}}{10}-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{5}+2}\,144{}\mathrm{i}}{104\,\sqrt{5}+232}+\frac{\sqrt{5}\,x\,\sqrt{\sqrt{5}+2}\,64{}\mathrm{i}}{104\,\sqrt{5}+232}\right)\,\sqrt{\sqrt{5}+2}\,1{}\mathrm{i}}{10}","Not used",1,"(5^(1/2)*atan((x*(- 5^(1/2) - 2)^(1/2)*144i)/(104*5^(1/2) + 232) + (5^(1/2)*x*(- 5^(1/2) - 2)^(1/2)*64i)/(104*5^(1/2) + 232))*(- 5^(1/2) - 2)^(1/2)*1i)/10 - (5^(1/2)*atan((x*(2 - 5^(1/2))^(1/2)*144i)/(104*5^(1/2) - 232) - (5^(1/2)*x*(2 - 5^(1/2))^(1/2)*64i)/(104*5^(1/2) - 232))*(2 - 5^(1/2))^(1/2)*1i)/10 + (5^(1/2)*atan((x*(5^(1/2) - 2)^(1/2)*144i)/(104*5^(1/2) - 232) - (5^(1/2)*x*(5^(1/2) - 2)^(1/2)*64i)/(104*5^(1/2) - 232))*(5^(1/2) - 2)^(1/2)*1i)/10 - (5^(1/2)*atan((x*(5^(1/2) + 2)^(1/2)*144i)/(104*5^(1/2) + 232) + (5^(1/2)*x*(5^(1/2) + 2)^(1/2)*64i)/(104*5^(1/2) + 232))*(5^(1/2) + 2)^(1/2)*1i)/10","B"
401,1,250,172,1.339305,"\text{Not used}","int(1/(x^2*(x^8 - 3*x^4 + 1)),x)","-\frac{1}{x}-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{-50\,\sqrt{5}-110}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}+\frac{\sqrt{5}\,x\,\sqrt{-50\,\sqrt{5}-110}\,517{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}\right)\,\sqrt{-50\,\sqrt{5}-110}\,1{}\mathrm{i}}{20}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{110-50\,\sqrt{5}}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}-\frac{\sqrt{5}\,x\,\sqrt{110-50\,\sqrt{5}}\,517{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}\right)\,\sqrt{110-50\,\sqrt{5}}\,1{}\mathrm{i}}{20}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{50\,\sqrt{5}-110}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}-\frac{\sqrt{5}\,x\,\sqrt{50\,\sqrt{5}-110}\,517{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}-6765\right)}\right)\,\sqrt{50\,\sqrt{5}-110}\,1{}\mathrm{i}}{20}-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{50\,\sqrt{5}+110}\,1155{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}+\frac{\sqrt{5}\,x\,\sqrt{50\,\sqrt{5}+110}\,517{}\mathrm{i}}{2\,\left(3025\,\sqrt{5}+6765\right)}\right)\,\sqrt{50\,\sqrt{5}+110}\,1{}\mathrm{i}}{20}","Not used",1,"(atan((x*(110 - 50*5^(1/2))^(1/2)*1155i)/(2*(3025*5^(1/2) - 6765)) - (5^(1/2)*x*(110 - 50*5^(1/2))^(1/2)*517i)/(2*(3025*5^(1/2) - 6765)))*(110 - 50*5^(1/2))^(1/2)*1i)/20 - (atan((x*(- 50*5^(1/2) - 110)^(1/2)*1155i)/(2*(3025*5^(1/2) + 6765)) + (5^(1/2)*x*(- 50*5^(1/2) - 110)^(1/2)*517i)/(2*(3025*5^(1/2) + 6765)))*(- 50*5^(1/2) - 110)^(1/2)*1i)/20 + (atan((x*(50*5^(1/2) - 110)^(1/2)*1155i)/(2*(3025*5^(1/2) - 6765)) - (5^(1/2)*x*(50*5^(1/2) - 110)^(1/2)*517i)/(2*(3025*5^(1/2) - 6765)))*(50*5^(1/2) - 110)^(1/2)*1i)/20 - (atan((x*(50*5^(1/2) + 110)^(1/2)*1155i)/(2*(3025*5^(1/2) + 6765)) + (5^(1/2)*x*(50*5^(1/2) + 110)^(1/2)*517i)/(2*(3025*5^(1/2) + 6765)))*(50*5^(1/2) + 110)^(1/2)*1i)/20 - 1/x","B"
402,1,268,182,0.204306,"\text{Not used}","int(1/(x^4*(x^8 - 3*x^4 + 1)),x)","\frac{\mathrm{atan}\left(\frac{x\,\sqrt{-130\,\sqrt{5}-290}\,20735{}\mathrm{i}}{2\,\left(87841\,\sqrt{5}+196417\right)}+\frac{\sqrt{5}\,x\,\sqrt{-130\,\sqrt{5}-290}\,46371{}\mathrm{i}}{10\,\left(87841\,\sqrt{5}+196417\right)}\right)\,\sqrt{-130\,\sqrt{5}-290}\,1{}\mathrm{i}}{20}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{290-130\,\sqrt{5}}\,20735{}\mathrm{i}}{2\,\left(87841\,\sqrt{5}-196417\right)}-\frac{\sqrt{5}\,x\,\sqrt{290-130\,\sqrt{5}}\,46371{}\mathrm{i}}{10\,\left(87841\,\sqrt{5}-196417\right)}\right)\,\sqrt{290-130\,\sqrt{5}}\,1{}\mathrm{i}}{20}-\frac{1}{3\,x^3}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{13\,\sqrt{5}-29}\,20735{}\mathrm{i}}{2\,\left(87841\,\sqrt{5}-196417\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{13\,\sqrt{5}-29}\,46371{}\mathrm{i}}{10\,\left(87841\,\sqrt{5}-196417\right)}\right)\,\sqrt{13\,\sqrt{5}-29}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{13\,\sqrt{5}+29}\,20735{}\mathrm{i}}{2\,\left(87841\,\sqrt{5}+196417\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{13\,\sqrt{5}+29}\,46371{}\mathrm{i}}{10\,\left(87841\,\sqrt{5}+196417\right)}\right)\,\sqrt{13\,\sqrt{5}+29}\,1{}\mathrm{i}}{20}","Not used",1,"(atan((x*(- 130*5^(1/2) - 290)^(1/2)*20735i)/(2*(87841*5^(1/2) + 196417)) + (5^(1/2)*x*(- 130*5^(1/2) - 290)^(1/2)*46371i)/(10*(87841*5^(1/2) + 196417)))*(- 130*5^(1/2) - 290)^(1/2)*1i)/20 + (atan((x*(290 - 130*5^(1/2))^(1/2)*20735i)/(2*(87841*5^(1/2) - 196417)) - (5^(1/2)*x*(290 - 130*5^(1/2))^(1/2)*46371i)/(10*(87841*5^(1/2) - 196417)))*(290 - 130*5^(1/2))^(1/2)*1i)/20 - 1/(3*x^3) - (10^(1/2)*atan((10^(1/2)*x*(13*5^(1/2) - 29)^(1/2)*20735i)/(2*(87841*5^(1/2) - 196417)) - (5^(1/2)*10^(1/2)*x*(13*5^(1/2) - 29)^(1/2)*46371i)/(10*(87841*5^(1/2) - 196417)))*(13*5^(1/2) - 29)^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(13*5^(1/2) + 29)^(1/2)*20735i)/(2*(87841*5^(1/2) + 196417)) + (5^(1/2)*10^(1/2)*x*(13*5^(1/2) + 29)^(1/2)*46371i)/(10*(87841*5^(1/2) + 196417)))*(13*5^(1/2) + 29)^(1/2)*1i)/20","B"
403,1,257,173,1.486601,"\text{Not used}","int(1/(x^6*(x^8 - 3*x^4 + 1)),x)","-\frac{3\,x^4+\frac{1}{5}}{x^5}-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{-85\,\sqrt{5}-190}\,372096{}\mathrm{i}}{2550408\,\sqrt{5}+5702888}+\frac{\sqrt{5}\,x\,\sqrt{-85\,\sqrt{5}-190}\,832048{}\mathrm{i}}{5\,\left(2550408\,\sqrt{5}+5702888\right)}\right)\,\sqrt{-85\,\sqrt{5}-190}\,1{}\mathrm{i}}{10}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{190-85\,\sqrt{5}}\,372096{}\mathrm{i}}{2550408\,\sqrt{5}-5702888}-\frac{\sqrt{5}\,x\,\sqrt{190-85\,\sqrt{5}}\,832048{}\mathrm{i}}{5\,\left(2550408\,\sqrt{5}-5702888\right)}\right)\,\sqrt{190-85\,\sqrt{5}}\,1{}\mathrm{i}}{10}+\frac{\mathrm{atan}\left(\frac{x\,\sqrt{85\,\sqrt{5}-190}\,372096{}\mathrm{i}}{2550408\,\sqrt{5}-5702888}-\frac{\sqrt{5}\,x\,\sqrt{85\,\sqrt{5}-190}\,832048{}\mathrm{i}}{5\,\left(2550408\,\sqrt{5}-5702888\right)}\right)\,\sqrt{85\,\sqrt{5}-190}\,1{}\mathrm{i}}{10}-\frac{\mathrm{atan}\left(\frac{x\,\sqrt{85\,\sqrt{5}+190}\,372096{}\mathrm{i}}{2550408\,\sqrt{5}+5702888}+\frac{\sqrt{5}\,x\,\sqrt{85\,\sqrt{5}+190}\,832048{}\mathrm{i}}{5\,\left(2550408\,\sqrt{5}+5702888\right)}\right)\,\sqrt{85\,\sqrt{5}+190}\,1{}\mathrm{i}}{10}","Not used",1,"(atan((x*(190 - 85*5^(1/2))^(1/2)*372096i)/(2550408*5^(1/2) - 5702888) - (5^(1/2)*x*(190 - 85*5^(1/2))^(1/2)*832048i)/(5*(2550408*5^(1/2) - 5702888)))*(190 - 85*5^(1/2))^(1/2)*1i)/10 - (atan((x*(- 85*5^(1/2) - 190)^(1/2)*372096i)/(2550408*5^(1/2) + 5702888) + (5^(1/2)*x*(- 85*5^(1/2) - 190)^(1/2)*832048i)/(5*(2550408*5^(1/2) + 5702888)))*(- 85*5^(1/2) - 190)^(1/2)*1i)/10 + (atan((x*(85*5^(1/2) - 190)^(1/2)*372096i)/(2550408*5^(1/2) - 5702888) - (5^(1/2)*x*(85*5^(1/2) - 190)^(1/2)*832048i)/(5*(2550408*5^(1/2) - 5702888)))*(85*5^(1/2) - 190)^(1/2)*1i)/10 - (atan((x*(85*5^(1/2) + 190)^(1/2)*372096i)/(2550408*5^(1/2) + 5702888) + (5^(1/2)*x*(85*5^(1/2) + 190)^(1/2)*832048i)/(5*(2550408*5^(1/2) + 5702888)))*(85*5^(1/2) + 190)^(1/2)*1i)/10 - (3*x^4 + 1/5)/x^5","B"
404,1,291,189,0.210124,"\text{Not used}","int(1/(x^8*(x^8 - 3*x^4 + 1)),x)","-\frac{x^4+\frac{1}{7}}{x^7}+\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{-89\,\sqrt{5}-199}\,6677047{}\mathrm{i}}{2\,\left(74049691\,\sqrt{5}+165580139\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{-89\,\sqrt{5}-199}\,14930373{}\mathrm{i}}{10\,\left(74049691\,\sqrt{5}+165580139\right)}\right)\,\sqrt{-89\,\sqrt{5}-199}\,1{}\mathrm{i}}{20}+\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{199-89\,\sqrt{5}}\,6677047{}\mathrm{i}}{2\,\left(74049691\,\sqrt{5}-165580139\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{199-89\,\sqrt{5}}\,14930373{}\mathrm{i}}{10\,\left(74049691\,\sqrt{5}-165580139\right)}\right)\,\sqrt{199-89\,\sqrt{5}}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{89\,\sqrt{5}-199}\,6677047{}\mathrm{i}}{2\,\left(74049691\,\sqrt{5}-165580139\right)}-\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{89\,\sqrt{5}-199}\,14930373{}\mathrm{i}}{10\,\left(74049691\,\sqrt{5}-165580139\right)}\right)\,\sqrt{89\,\sqrt{5}-199}\,1{}\mathrm{i}}{20}-\frac{\sqrt{10}\,\mathrm{atan}\left(\frac{\sqrt{10}\,x\,\sqrt{89\,\sqrt{5}+199}\,6677047{}\mathrm{i}}{2\,\left(74049691\,\sqrt{5}+165580139\right)}+\frac{\sqrt{5}\,\sqrt{10}\,x\,\sqrt{89\,\sqrt{5}+199}\,14930373{}\mathrm{i}}{10\,\left(74049691\,\sqrt{5}+165580139\right)}\right)\,\sqrt{89\,\sqrt{5}+199}\,1{}\mathrm{i}}{20}","Not used",1,"(10^(1/2)*atan((10^(1/2)*x*(- 89*5^(1/2) - 199)^(1/2)*6677047i)/(2*(74049691*5^(1/2) + 165580139)) + (5^(1/2)*10^(1/2)*x*(- 89*5^(1/2) - 199)^(1/2)*14930373i)/(10*(74049691*5^(1/2) + 165580139)))*(- 89*5^(1/2) - 199)^(1/2)*1i)/20 - (x^4 + 1/7)/x^7 + (10^(1/2)*atan((10^(1/2)*x*(199 - 89*5^(1/2))^(1/2)*6677047i)/(2*(74049691*5^(1/2) - 165580139)) - (5^(1/2)*10^(1/2)*x*(199 - 89*5^(1/2))^(1/2)*14930373i)/(10*(74049691*5^(1/2) - 165580139)))*(199 - 89*5^(1/2))^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(89*5^(1/2) - 199)^(1/2)*6677047i)/(2*(74049691*5^(1/2) - 165580139)) - (5^(1/2)*10^(1/2)*x*(89*5^(1/2) - 199)^(1/2)*14930373i)/(10*(74049691*5^(1/2) - 165580139)))*(89*5^(1/2) - 199)^(1/2)*1i)/20 - (10^(1/2)*atan((10^(1/2)*x*(89*5^(1/2) + 199)^(1/2)*6677047i)/(2*(74049691*5^(1/2) + 165580139)) + (5^(1/2)*10^(1/2)*x*(89*5^(1/2) + 199)^(1/2)*14930373i)/(10*(74049691*5^(1/2) + 165580139)))*(89*5^(1/2) + 199)^(1/2)*1i)/20","B"
405,1,16,21,0.062763,"\text{Not used}","int(x^3/(3*x^4 + x^8 + 2),x)","-\frac{\mathrm{atanh}\left(\frac{256}{9\,\left(144\,x^4+160\right)}-\frac{7}{9}\right)}{2}","Not used",1,"-atanh(256/(9*(144*x^4 + 160)) - 7/9)/2","B"
406,1,22,26,1.315460,"\text{Not used}","int(x^11/(3*x^4 + x^8 + 2),x)","\frac{\ln\left(x^4+1\right)}{4}-\ln\left(x^4+2\right)+\frac{x^4}{4}","Not used",1,"log(x^4 + 1)/4 - log(x^4 + 2) + x^4/4","B"
407,1,32,37,1.346127,"\text{Not used}","int(x^9/(x^5 + x^10 + 2),x)","\frac{\ln\left(x^{10}+x^5+2\right)}{10}-\frac{\sqrt{7}\,\mathrm{atan}\left(\frac{2\,\sqrt{7}\,x^5}{7}+\frac{\sqrt{7}}{7}\right)}{35}","Not used",1,"log(x^5 + x^10 + 2)/10 - (7^(1/2)*atan(7^(1/2)/7 + (2*7^(1/2)*x^5)/7))/35","B"
408,1,20,23,1.332828,"\text{Not used}","int(x^4/(x^5 + x^10 + 2),x)","\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{2\,\sqrt{7}\,x^5}{7}+\frac{\sqrt{7}}{7}\right)}{35}","Not used",1,"(2*7^(1/2)*atan(7^(1/2)/7 + (2*7^(1/2)*x^5)/7))/35","B"
409,1,34,39,0.060482,"\text{Not used}","int(1/(x*(x^5 + x^10 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^{10}+x^5+1\right)}{10}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^5}{3}+\frac{\sqrt{3}}{3}\right)}{15}","Not used",1,"log(x) - log(x^5 + x^10 + 1)/10 - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^5)/3))/15","B"
410,1,41,48,1.369170,"\text{Not used}","int(1/(x^6*(x^5 + x^10 + 1)),x)","\frac{\ln\left(x^{10}+x^5+1\right)}{10}-\ln\left(x\right)-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^5}{3}+\frac{\sqrt{3}}{3}\right)}{15}-\frac{1}{5\,x^5}","Not used",1,"log(x^5 + x^10 + 1)/10 - log(x) - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^5)/3))/15 - 1/(5*x^5)","B"
411,1,34,39,0.032711,"\text{Not used}","int(1/(x + x^6 + x^11),x)","\ln\left(x\right)-\frac{\ln\left(x^{10}+x^5+1\right)}{10}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x^5}{3}+\frac{\sqrt{3}}{3}\right)}{15}","Not used",1,"log(x) - log(x^5 + x^10 + 1)/10 - (3^(1/2)*atan(3^(1/2)/3 + (2*3^(1/2)*x^5)/3))/15","B"
412,1,183,147,0.159296,"\text{Not used}","int(x^3/(c + a/x^2 + b/x),x)","x\,\left(\frac{b\,\left(\frac{a}{c^2}-\frac{b^2}{c^3}\right)}{c}+\frac{a\,b}{c^3}\right)+\frac{x^4}{4\,c}-x^2\,\left(\frac{a}{2\,c^2}-\frac{b^2}{2\,c^3}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-4\,a^3\,c^3+13\,a^2\,b^2\,c^2-7\,a\,b^4\,c+b^6\right)}{2\,\left(4\,a\,c^6-b^2\,c^5\right)}-\frac{b\,x^3}{3\,c^2}-\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(5\,a^2\,c^2-5\,a\,b^2\,c+b^4\right)}{c^5\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x*((b*(a/c^2 - b^2/c^3))/c + (a*b)/c^3) + x^4/(4*c) - x^2*(a/(2*c^2) - b^2/(2*c^3)) - (log(a + b*x + c*x^2)*(b^6 - 4*a^3*c^3 + 13*a^2*b^2*c^2 - 7*a*b^4*c))/(2*(4*a*c^6 - b^2*c^5)) - (b*x^3)/(3*c^2) - (b*atan((b + 2*c*x)/(4*a*c - b^2)^(1/2))*(b^4 + 5*a^2*c^2 - 5*a*b^2*c))/(c^5*(4*a*c - b^2)^(1/2))","B"
413,1,151,118,1.395616,"\text{Not used}","int(x^2/(c + a/x^2 + b/x),x)","\frac{x^3}{3\,c}-x\,\left(\frac{a}{c^2}-\frac{b^2}{c^3}\right)-\frac{b\,x^2}{2\,c^2}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(8\,a^2\,b\,c^2-6\,a\,b^3\,c+b^5\right)}{2\,\left(4\,a\,c^5-b^2\,c^4\right)}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c^4\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^3/(3*c) - x*(a/c^2 - b^2/c^3) - (b*x^2)/(2*c^2) + (log(a + b*x + c*x^2)*(b^5 + 8*a^2*b*c^2 - 6*a*b^3*c))/(2*(4*a*c^5 - b^2*c^4)) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/(c^4*(4*a*c - b^2)^(1/2))","B"
414,1,112,89,0.130986,"\text{Not used}","int(x/(c + a/x^2 + b/x),x)","\frac{x^2}{2\,c}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(4\,a^2\,c^2-5\,a\,b^2\,c+b^4\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}-\frac{b\,x}{c^2}+\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(3\,a\,c-b^2\right)}{c^3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^2/(2*c) - (log(a + b*x + c*x^2)*(b^4 + 4*a^2*c^2 - 5*a*b^2*c))/(2*(4*a*c^4 - b^2*c^3)) - (b*x)/c^2 + (b*atan((b + 2*c*x)/(4*a*c - b^2)^(1/2))*(3*a*c - b^2))/(c^3*(4*a*c - b^2)^(1/2))","B"
415,1,172,70,1.417544,"\text{Not used}","int(1/(c + a/x^2 + b/x),x)","\frac{x}{c}+\frac{b^3\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}-\frac{2\,a\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,a\,b\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^3-b^2\,c^2}","Not used",1,"x/c + (b^3*log(a + b*x + c*x^2))/(2*(4*a*c^3 - b^2*c^2)) - (2*a*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) + (b^2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c^2*(4*a*c - b^2)^(1/2)) - (2*a*b*c*log(a + b*x + c*x^2))/(4*a*c^3 - b^2*c^2)","B"
416,1,112,56,0.167672,"\text{Not used}","int(1/(x*(c + a/x^2 + b/x)),x)","\frac{2\,a\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}-\frac{b\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}-\frac{b^2\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^2-b^2\,c\right)}","Not used",1,"(2*a*c*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c) - (b*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) - (b^2*log(a + b*x + c*x^2))/(2*(4*a*c^2 - b^2*c))","B"
417,1,46,36,0.045645,"\text{Not used}","int(1/(x^2*(c + a/x^2 + b/x)),x)","\frac{2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2)","B"
418,1,213,62,1.715035,"\text{Not used}","int(1/(x^3*(c + a/x^2 + b/x)),x)","\frac{\ln\left(x\right)}{a}-\ln\left(b\,c-\left(x\,\left(6\,a\,c^2-2\,b^2\,c\right)-a\,b\,c\right)\,\left(\frac{1}{2\,a}-\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)+3\,c^2\,x\right)\,\left(\frac{1}{2\,a}-\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)-\ln\left(\left(x\,\left(6\,a\,c^2-2\,b^2\,c\right)-a\,b\,c\right)\,\left(\frac{1}{2\,a}+\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)-b\,c-3\,c^2\,x\right)\,\left(\frac{1}{2\,a}+\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)","Not used",1,"log(x)/a - log(b*c - (x*(6*a*c^2 - 2*b^2*c) - a*b*c)*(1/(2*a) - (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) + 3*c^2*x)*(1/(2*a) - (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) - log((x*(6*a*c^2 - 2*b^2*c) - a*b*c)*(1/(2*a) + (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) - b*c - 3*c^2*x)*(1/(2*a) + (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c)))","B"
419,1,339,81,1.813645,"\text{Not used}","int(1/(x^4*(c + a/x^2 + b/x)),x)","\frac{\ln\left(2\,a\,b^3+2\,b^4\,x-2\,a\,b^2\,\sqrt{b^2-4\,a\,c}+a^2\,c\,\sqrt{b^2-4\,a\,c}-2\,b^3\,x\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,x-7\,a^2\,b\,c-8\,a\,b^2\,c\,x+4\,a\,b\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(2\,b\,c-c\,\sqrt{b^2-4\,a\,c}\right)-\frac{b^3}{2}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^3\,c-a^2\,b^2}-\frac{1}{a\,x}-\frac{\ln\left(2\,a\,b^3+2\,b^4\,x+2\,a\,b^2\,\sqrt{b^2-4\,a\,c}-a^2\,c\,\sqrt{b^2-4\,a\,c}+2\,b^3\,x\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,x-7\,a^2\,b\,c-8\,a\,b^2\,c\,x-4\,a\,b\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2}-a\,\left(2\,b\,c+c\,\sqrt{b^2-4\,a\,c}\right)+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^3\,c-a^2\,b^2}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(log(2*a*b^3 + 2*b^4*x - 2*a*b^2*(b^2 - 4*a*c)^(1/2) + a^2*c*(b^2 - 4*a*c)^(1/2) - 2*b^3*x*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*x - 7*a^2*b*c - 8*a*b^2*c*x + 4*a*b*c*x*(b^2 - 4*a*c)^(1/2))*(a*(2*b*c - c*(b^2 - 4*a*c)^(1/2)) - b^3/2 + (b^2*(b^2 - 4*a*c)^(1/2))/2))/(4*a^3*c - a^2*b^2) - 1/(a*x) - (log(2*a*b^3 + 2*b^4*x + 2*a*b^2*(b^2 - 4*a*c)^(1/2) - a^2*c*(b^2 - 4*a*c)^(1/2) + 2*b^3*x*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*x - 7*a^2*b*c - 8*a*b^2*c*x - 4*a*b*c*x*(b^2 - 4*a*c)^(1/2))*(b^3/2 - a*(2*b*c + c*(b^2 - 4*a*c)^(1/2)) + (b^2*(b^2 - 4*a*c)^(1/2))/2))/(4*a^3*c - a^2*b^2) - (b*log(x))/a^2","B"
420,1,447,104,1.865929,"\text{Not used}","int(1/(x^5*(c + a/x^2 + b/x)),x)","\frac{\ln\left(2\,a\,b^4+2\,b^5\,x+6\,a^3\,c^2+2\,a\,b^3\,\sqrt{b^2-4\,a\,c}+2\,b^4\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b^2\,c-10\,a\,b^3\,c\,x-3\,a^2\,b\,c\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b\,c^2\,x+3\,a^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}-6\,a\,b^2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^4}{2}-a\,\left(\frac{5\,b^2\,c}{2}+\frac{3\,b\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{2}+2\,a^2\,c^2\right)}{4\,a^4\,c-a^3\,b^2}-\frac{\ln\left(2\,a\,b^4+2\,b^5\,x+6\,a^3\,c^2-2\,a\,b^3\,\sqrt{b^2-4\,a\,c}-2\,b^4\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b^2\,c-10\,a\,b^3\,c\,x+3\,a^2\,b\,c\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b\,c^2\,x-3\,a^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}+6\,a\,b^2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(\frac{5\,b^2\,c}{2}-\frac{3\,b\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{b^4}{2}+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{2}-2\,a^2\,c^2\right)}{4\,a^4\,c-a^3\,b^2}-\frac{\frac{1}{2\,a}-\frac{b\,x}{a^2}}{x^2}-\frac{\ln\left(x\right)\,\left(a\,c-b^2\right)}{a^3}","Not used",1,"(log(2*a*b^4 + 2*b^5*x + 6*a^3*c^2 + 2*a*b^3*(b^2 - 4*a*c)^(1/2) + 2*b^4*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b^2*c - 10*a*b^3*c*x - 3*a^2*b*c*(b^2 - 4*a*c)^(1/2) + 9*a^2*b*c^2*x + 3*a^2*c^2*x*(b^2 - 4*a*c)^(1/2) - 6*a*b^2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4/2 - a*((5*b^2*c)/2 + (3*b*c*(b^2 - 4*a*c)^(1/2))/2) + (b^3*(b^2 - 4*a*c)^(1/2))/2 + 2*a^2*c^2))/(4*a^4*c - a^3*b^2) - (log(2*a*b^4 + 2*b^5*x + 6*a^3*c^2 - 2*a*b^3*(b^2 - 4*a*c)^(1/2) - 2*b^4*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b^2*c - 10*a*b^3*c*x + 3*a^2*b*c*(b^2 - 4*a*c)^(1/2) + 9*a^2*b*c^2*x - 3*a^2*c^2*x*(b^2 - 4*a*c)^(1/2) + 6*a*b^2*c*x*(b^2 - 4*a*c)^(1/2))*(a*((5*b^2*c)/2 - (3*b*c*(b^2 - 4*a*c)^(1/2))/2) - b^4/2 + (b^3*(b^2 - 4*a*c)^(1/2))/2 - 2*a^2*c^2))/(4*a^4*c - a^3*b^2) - (1/(2*a) - (b*x)/a^2)/x^2 - (log(x)*(a*c - b^2))/a^3","B"
421,1,524,137,1.922750,"\text{Not used}","int(1/(x^6*(c + a/x^2 + b/x)),x)","\ln\left(2\,a\,b^4\,\sqrt{b^2-4\,a\,c}-2\,b^6\,x-2\,a\,b^5+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^3\,c-13\,a^3\,b\,c^2+2\,a^3\,c^3\,x+a^3\,c^2\,\sqrt{b^2-4\,a\,c}-17\,a^2\,b^2\,c^2\,x+12\,a\,b^4\,c\,x-5\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-8\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+7\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2\,a^4}-\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2\,a^4}-\frac{b\,c}{a^3}+\frac{a^2\,c^2\,\sqrt{b^2-4\,a\,c}}{4\,a^5\,c-a^4\,b^2}\right)+\ln\left(2\,a\,b^5+2\,b^6\,x+2\,a\,b^4\,\sqrt{b^2-4\,a\,c}+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}-11\,a^2\,b^3\,c+13\,a^3\,b\,c^2-2\,a^3\,c^3\,x+a^3\,c^2\,\sqrt{b^2-4\,a\,c}+17\,a^2\,b^2\,c^2\,x-12\,a\,b^4\,c\,x-5\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-8\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+7\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2\,a^4}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2\,a^4}-\frac{b\,c}{a^3}-\frac{a^2\,c^2\,\sqrt{b^2-4\,a\,c}}{4\,a^5\,c-a^4\,b^2}\right)+\frac{\frac{x^2\,\left(a\,c-b^2\right)}{a^3}-\frac{1}{3\,a}+\frac{b\,x}{2\,a^2}}{x^3}+\frac{b\,\ln\left(x\right)\,\left(2\,a\,c-b^2\right)}{a^4}","Not used",1,"log(2*a*b^4*(b^2 - 4*a*c)^(1/2) - 2*b^6*x - 2*a*b^5 + 2*b^5*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^3*c - 13*a^3*b*c^2 + 2*a^3*c^3*x + a^3*c^2*(b^2 - 4*a*c)^(1/2) - 17*a^2*b^2*c^2*x + 12*a*b^4*c*x - 5*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 8*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 7*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*(b^3/(2*a^4) - (b^2*(b^2 - 4*a*c)^(1/2))/(2*a^4) - (b*c)/a^3 + (a^2*c^2*(b^2 - 4*a*c)^(1/2))/(4*a^5*c - a^4*b^2)) + log(2*a*b^5 + 2*b^6*x + 2*a*b^4*(b^2 - 4*a*c)^(1/2) + 2*b^5*x*(b^2 - 4*a*c)^(1/2) - 11*a^2*b^3*c + 13*a^3*b*c^2 - 2*a^3*c^3*x + a^3*c^2*(b^2 - 4*a*c)^(1/2) + 17*a^2*b^2*c^2*x - 12*a*b^4*c*x - 5*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 8*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 7*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*(b^3/(2*a^4) + (b^2*(b^2 - 4*a*c)^(1/2))/(2*a^4) - (b*c)/a^3 - (a^2*c^2*(b^2 - 4*a*c)^(1/2))/(4*a^5*c - a^4*b^2)) + ((x^2*(a*c - b^2))/a^3 - 1/(3*a) + (b*x)/(2*a^2))/x^3 + (b*log(x)*(2*a*c - b^2))/a^4","B"
422,1,382,196,1.821934,"\text{Not used}","int(x/(c + a/x^2 + b/x)^2,x)","\frac{x^2}{2\,c^2}-\frac{\frac{a\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{b\,x\,\left(5\,a^2\,c^2-5\,a\,b^2\,c+b^4\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^4\,x^2+b\,c^3\,x+a\,c^3}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(128\,a^4\,c^4-288\,a^3\,b^2\,c^3+168\,a^2\,b^4\,c^2-38\,a\,b^6\,c+3\,b^8\right)}{2\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}-\frac{2\,b\,x}{c^3}+\frac{b\,\mathrm{atan}\left(\frac{c^4\,\left(\frac{2\,b\,x\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^3}-\frac{b\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{c^7\,{\left(4\,a\,c-b^2\right)}^4}\right)\,{\left(4\,a\,c-b^2\right)}^{5/2}}{30\,a^2\,b\,c^2-20\,a\,b^3\,c+3\,b^5}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{c^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"x^2/(2*c^2) - ((a*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/(c*(4*a*c - b^2)) + (b*x*(b^4 + 5*a^2*c^2 - 5*a*b^2*c))/(c*(4*a*c - b^2)))/(a*c^3 + c^4*x^2 + b*c^3*x) - (log(a + b*x + c*x^2)*(3*b^8 + 128*a^4*c^4 + 168*a^2*b^4*c^2 - 288*a^3*b^2*c^3 - 38*a*b^6*c))/(2*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)) - (2*b*x)/c^3 + (b*atan((c^4*((2*b*x*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(c^3*(4*a*c - b^2)^3) - (b*(b^3*c^3 - 4*a*b*c^4)*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(c^7*(4*a*c - b^2)^4))*(4*a*c - b^2)^(5/2))/(3*b^5 + 30*a^2*b*c^2 - 20*a*b^3*c))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(c^4*(4*a*c - b^2)^(3/2))","B"
423,1,261,150,1.798095,"\text{Not used}","int(1/(c + a/x^2 + b/x)^2,x)","\frac{x}{c^2}+\frac{\frac{a\,\left(b^3-3\,a\,b\,c\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^3\,x^2+b\,c^2\,x+a\,c^2}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-128\,a^3\,b\,c^3+96\,a^2\,b^3\,c^2-24\,a\,b^5\,c+2\,b^7\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{2\,\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c^2-4\,a\,b\,c^3}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"x/c^2 + ((a*(b^3 - 3*a*b*c))/(c*(4*a*c - b^2)) + (x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/(c*(4*a*c - b^2)))/(a*c^2 + c^3*x^2 + b*c^2*x) + (log(a + b*x + c*x^2)*(2*b^7 - 128*a^3*b*c^3 + 96*a^2*b^3*c^2 - 24*a*b^5*c))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (2*atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c^2 - 4*a*b*c^3)/(c^2*(4*a*c - b^2)^(3/2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(c^3*(4*a*c - b^2)^(3/2))","B"
424,1,279,114,1.859093,"\text{Not used}","int(1/(x*(c + a/x^2 + b/x)^2),x)","\frac{\frac{a\,\left(2\,a\,c-b^2\right)}{c^2\,\left(4\,a\,c-b^2\right)}+\frac{b\,x\,\left(3\,a\,c-b^2\right)}{c^2\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}{2\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}+\frac{b\,\mathrm{atan}\left(\frac{c^2\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(\frac{2\,b\,x\,\left(6\,a\,c-b^2\right)}{c\,{\left(4\,a\,c-b^2\right)}^3}+\frac{b^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(6\,a\,c-b^2\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^4}\right)}{b^3-6\,a\,b\,c}\right)\,\left(6\,a\,c-b^2\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(2*a*c - b^2))/(c^2*(4*a*c - b^2)) + (b*x*(3*a*c - b^2))/(c^2*(4*a*c - b^2)))/(a + b*x + c*x^2) - (log(a + b*x + c*x^2)*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))/(2*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)) + (b*atan((c^2*(4*a*c - b^2)^(5/2)*((2*b*x*(6*a*c - b^2))/(c*(4*a*c - b^2)^3) + (b^2*(4*a*c^2 - b^2*c)*(6*a*c - b^2))/(c^3*(4*a*c - b^2)^4)))/(b^3 - 6*a*b*c))*(6*a*c - b^2))/(c^2*(4*a*c - b^2)^(3/2))","B"
425,1,135,71,1.370340,"\text{Not used}","int(1/(x^2*(c + a/x^2 + b/x)^2),x)","-\frac{\frac{x\,\left(2\,a\,c-b^2\right)}{c\,\left(4\,a\,c-b^2\right)}-\frac{a\,b}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{4\,a\,\mathrm{atan}\left(\frac{\left(\frac{2\,a\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{4\,a\,c\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,a}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"- ((x*(2*a*c - b^2))/(c*(4*a*c - b^2)) - (a*b)/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - (4*a*atan((((2*a*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2) - (4*a*c*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*a)))/(4*a*c - b^2)^(3/2)","B"
426,1,110,66,1.368969,"\text{Not used}","int(1/(x^3*(c + a/x^2 + b/x)^2),x)","-\frac{\frac{2\,a}{4\,a\,c-b^2}+\frac{b\,x}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}-\frac{2\,b\,\mathrm{atan}\left(\frac{\left(\frac{b^2}{{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{2\,b\,c\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{b}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"- ((2*a)/(4*a*c - b^2) + (b*x)/(4*a*c - b^2))/(a + b*x + c*x^2) - (2*b*atan(((b^2/(4*a*c - b^2)^(3/2) + (2*b*c*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/b))/(4*a*c - b^2)^(3/2)","B"
427,1,119,66,0.083143,"\text{Not used}","int(1/(x^4*(c + a/x^2 + b/x)^2),x)","\frac{\frac{b}{4\,a\,c-b^2}+\frac{2\,c\,x}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}-\frac{4\,c\,\mathrm{atan}\left(\frac{\left(\frac{2\,c\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{4\,c^2\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,c}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"(b/(4*a*c - b^2) + (2*c*x)/(4*a*c - b^2))/(a + b*x + c*x^2) - (4*c*atan((((2*c*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2) - (4*c^2*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*c)))/(4*a*c - b^2)^(3/2)","B"
428,1,620,108,2.095535,"\text{Not used}","int(1/(x^5*(c + a/x^2 + b/x)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{\frac{2\,a\,c-b^2}{a\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x}{a\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}+\frac{\ln\left(2\,a\,b^6+2\,b^7\,x-96\,a^4\,c^3+2\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-23\,a^2\,b^4\,c+2\,b^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+84\,a^3\,b^2\,c^2+94\,a^2\,b^3\,c^2\,x+12\,a^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a\,b^5\,c\,x-9\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-120\,a^3\,b\,c^3\,x-12\,a\,b^2\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(b^6-64\,a^3\,c^3+b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c-6\,a\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^2\,{\left(4\,a\,c-b^2\right)}^3}+\frac{\ln\left(96\,a^4\,c^3-2\,b^7\,x-2\,a\,b^6+2\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+23\,a^2\,b^4\,c+2\,b^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-84\,a^3\,b^2\,c^2-94\,a^2\,b^3\,c^2\,x+12\,a^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a\,b^5\,c\,x-9\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+120\,a^3\,b\,c^3\,x-12\,a\,b^2\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(b^6-64\,a^3\,c^3-b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+6\,a\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^2\,{\left(4\,a\,c-b^2\right)}^3}","Not used",1,"log(x)/a^2 + ((2*a*c - b^2)/(a*(4*a*c - b^2)) - (b*c*x)/(a*(4*a*c - b^2)))/(a + b*x + c*x^2) + (log(2*a*b^6 + 2*b^7*x - 96*a^4*c^3 + 2*a*b^3*(-(4*a*c - b^2)^3)^(1/2) - 23*a^2*b^4*c + 2*b^4*x*(-(4*a*c - b^2)^3)^(1/2) + 84*a^3*b^2*c^2 + 94*a^2*b^3*c^2*x + 12*a^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^5*c*x - 9*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2) - 120*a^3*b*c^3*x - 12*a*b^2*c*x*(-(4*a*c - b^2)^3)^(1/2))*(b^6 - 64*a^3*c^3 + b^3*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^2*c^2 - 12*a*b^4*c - 6*a*b*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^2*(4*a*c - b^2)^3) + (log(96*a^4*c^3 - 2*b^7*x - 2*a*b^6 + 2*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 23*a^2*b^4*c + 2*b^4*x*(-(4*a*c - b^2)^3)^(1/2) - 84*a^3*b^2*c^2 - 94*a^2*b^3*c^2*x + 12*a^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^5*c*x - 9*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2) + 120*a^3*b*c^3*x - 12*a*b^2*c*x*(-(4*a*c - b^2)^3)^(1/2))*(b^6 - 64*a^3*c^3 - b^3*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^2*c^2 - 12*a*b^4*c + 6*a*b*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^2*(4*a*c - b^2)^3)","B"
429,1,775,148,2.134043,"\text{Not used}","int(1/(x^6*(c + a/x^2 + b/x)^2),x)","\ln\left(2\,a\,b^7+2\,b^8\,x+2\,a\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-23\,a^2\,b^5\,c-108\,a^4\,b\,c^3+24\,a^4\,c^4\,x+2\,b^5\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+87\,a^3\,b^3\,c^2+3\,a^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a^2\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+97\,a^2\,b^4\,c^2\,x-138\,a^3\,b^2\,c^3\,x-24\,a\,b^6\,c\,x-12\,a\,b^3\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{b}{a^3}\right)-\frac{\frac{1}{a}-\frac{x\,\left(2\,b^3-7\,a\,b\,c\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,x^2\,\left(3\,a\,c-b^2\right)}{a^2\,\left(4\,a\,c-b^2\right)}}{c\,x^3+b\,x^2+a\,x}-\ln\left(2\,a\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,b^8\,x-2\,a\,b^7+23\,a^2\,b^5\,c+108\,a^4\,b\,c^3-24\,a^4\,c^4\,x+2\,b^5\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-87\,a^3\,b^3\,c^2+3\,a^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a^2\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-97\,a^2\,b^4\,c^2\,x+138\,a^3\,b^2\,c^3\,x+24\,a\,b^6\,c\,x-12\,a\,b^3\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{b}{a^3}\right)-\frac{2\,b\,\ln\left(x\right)}{a^3}","Not used",1,"log(2*a*b^7 + 2*b^8*x + 2*a*b^4*(-(4*a*c - b^2)^3)^(1/2) - 23*a^2*b^5*c - 108*a^4*b*c^3 + 24*a^4*c^4*x + 2*b^5*x*(-(4*a*c - b^2)^3)^(1/2) + 87*a^3*b^3*c^2 + 3*a^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a^2*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 97*a^2*b^4*c^2*x - 138*a^3*b^2*c^3*x - 24*a*b^6*c*x - 12*a*b^3*c*x*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + b/a^3) - (1/a - (x*(2*b^3 - 7*a*b*c))/(a^2*(4*a*c - b^2)) + (2*c*x^2*(3*a*c - b^2))/(a^2*(4*a*c - b^2)))/(a*x + b*x^2 + c*x^3) - log(2*a*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*b^8*x - 2*a*b^7 + 23*a^2*b^5*c + 108*a^4*b*c^3 - 24*a^4*c^4*x + 2*b^5*x*(-(4*a*c - b^2)^3)^(1/2) - 87*a^3*b^3*c^2 + 3*a^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a^2*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 97*a^2*b^4*c^2*x + 138*a^3*b^2*c^3*x + 24*a*b^6*c*x - 12*a*b^3*c*x*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - b/a^3) - (2*b*log(x))/a^3","B"
430,1,914,202,2.298159,"\text{Not used}","int(1/(x^7*(c + a/x^2 + b/x)^2),x)","\frac{\ln\left(6\,a\,b^8+6\,b^9\,x+192\,a^5\,c^4-6\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-73\,a^2\,b^6\,c-6\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+307\,a^3\,b^4\,c^2-492\,a^4\,b^2\,c^3+31\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-27\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+339\,a^2\,b^5\,c^2\,x-602\,a^3\,b^3\,c^3\,x+24\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-76\,a\,b^7\,c\,x+312\,a^4\,b\,c^4\,x+40\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-69\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(3\,b^8+128\,a^4\,c^4-3\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+168\,a^2\,b^4\,c^2-288\,a^3\,b^2\,c^3-38\,a\,b^6\,c-30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^3}-\frac{\ln\left(x\right)\,\left(2\,a\,c-3\,b^2\right)}{a^4}-\frac{\frac{1}{2\,a}-\frac{3\,b\,x}{2\,a^2}+\frac{x^2\,\left(8\,a^2\,c^2-25\,a\,b^2\,c+6\,b^4\right)}{2\,a^3\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x^3\,\left(11\,a\,c-3\,b^2\right)}{a^3\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^3+a\,x^2}+\frac{\ln\left(6\,a\,b^8+6\,b^9\,x+192\,a^5\,c^4+6\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-73\,a^2\,b^6\,c+6\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+307\,a^3\,b^4\,c^2-492\,a^4\,b^2\,c^3-31\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+27\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+339\,a^2\,b^5\,c^2\,x-602\,a^3\,b^3\,c^3\,x-24\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-76\,a\,b^7\,c\,x+312\,a^4\,b\,c^4\,x-40\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+69\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(3\,b^8+128\,a^4\,c^4+3\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+168\,a^2\,b^4\,c^2-288\,a^3\,b^2\,c^3-38\,a\,b^6\,c+30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^3}","Not used",1,"(log(6*a*b^8 + 6*b^9*x + 192*a^5*c^4 - 6*a*b^5*(-(4*a*c - b^2)^3)^(1/2) - 73*a^2*b^6*c - 6*b^6*x*(-(4*a*c - b^2)^3)^(1/2) + 307*a^3*b^4*c^2 - 492*a^4*b^2*c^3 + 31*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 27*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 339*a^2*b^5*c^2*x - 602*a^3*b^3*c^3*x + 24*a^3*c^3*x*(-(4*a*c - b^2)^3)^(1/2) - 76*a*b^7*c*x + 312*a^4*b*c^4*x + 40*a*b^4*c*x*(-(4*a*c - b^2)^3)^(1/2) - 69*a^2*b^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(3*b^8 + 128*a^4*c^4 - 3*b^5*(-(4*a*c - b^2)^3)^(1/2) + 168*a^2*b^4*c^2 - 288*a^3*b^2*c^3 - 38*a*b^6*c - 30*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^4*(4*a*c - b^2)^3) - (log(x)*(2*a*c - 3*b^2))/a^4 - (1/(2*a) - (3*b*x)/(2*a^2) + (x^2*(6*b^4 + 8*a^2*c^2 - 25*a*b^2*c))/(2*a^3*(4*a*c - b^2)) - (b*c*x^3*(11*a*c - 3*b^2))/(a^3*(4*a*c - b^2)))/(a*x^2 + b*x^3 + c*x^4) + (log(6*a*b^8 + 6*b^9*x + 192*a^5*c^4 + 6*a*b^5*(-(4*a*c - b^2)^3)^(1/2) - 73*a^2*b^6*c + 6*b^6*x*(-(4*a*c - b^2)^3)^(1/2) + 307*a^3*b^4*c^2 - 492*a^4*b^2*c^3 - 31*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 27*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 339*a^2*b^5*c^2*x - 602*a^3*b^3*c^3*x - 24*a^3*c^3*x*(-(4*a*c - b^2)^3)^(1/2) - 76*a*b^7*c*x + 312*a^4*b*c^4*x - 40*a*b^4*c*x*(-(4*a*c - b^2)^3)^(1/2) + 69*a^2*b^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(3*b^8 + 128*a^4*c^4 + 3*b^5*(-(4*a*c - b^2)^3)^(1/2) + 168*a^2*b^4*c^2 - 288*a^3*b^2*c^3 - 38*a*b^6*c + 30*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^4*(4*a*c - b^2)^3)","B"
431,1,705,238,2.000097,"\text{Not used}","int(1/(c + a/x^2 + b/x)^3,x)","\frac{x}{c^3}-\frac{\frac{3\,x^3\,\left(-6\,a^3\,c^3+17\,a^2\,b^2\,c^2-8\,a\,b^4\,c+b^6\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{x^2\,\left(42\,a^3\,b\,c^3+41\,a^2\,b^3\,c^2-34\,a\,b^5\,c+5\,b^7\right)}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a^2\,\left(58\,a^2\,b\,c^2-36\,a\,b^3\,c+5\,b^5\right)}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a\,x\,\left(-14\,a^3\,c^3+71\,a^2\,b^2\,c^2-38\,a\,b^4\,c+5\,b^6\right)}{c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{a^2\,c^3+c^5\,x^4+x^2\,\left(b^2\,c^3+2\,a\,c^4\right)+2\,b\,c^4\,x^3+2\,a\,b\,c^3\,x}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-3072\,a^5\,b\,c^5+3840\,a^4\,b^3\,c^4-1920\,a^3\,b^5\,c^3+480\,a^2\,b^7\,c^2-60\,a\,b^9\,c+3\,b^{11}\right)}{2\,\left(1024\,a^5\,c^9-1280\,a^4\,b^2\,c^8+640\,a^3\,b^4\,c^7-160\,a^2\,b^6\,c^6+20\,a\,b^8\,c^5-b^{10}\,c^4\right)}+\frac{3\,\mathrm{atan}\left(\frac{\left(\frac{3\,x\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^5}+\frac{3\,\left(16\,a^2\,b\,c^5-8\,a\,b^3\,c^4+b^5\,c^3\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{2\,c^7\,{\left(4\,a\,c-b^2\right)}^5\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(32\,a^2\,c^6\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)}{-60\,a^3\,c^3+90\,a^2\,b^2\,c^2-30\,a\,b^4\,c+3\,b^6}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"x/c^3 - ((3*x^3*(b^6 - 6*a^3*c^3 + 17*a^2*b^2*c^2 - 8*a*b^4*c))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (x^2*(5*b^7 + 42*a^3*b*c^3 + 41*a^2*b^3*c^2 - 34*a*b^5*c))/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a^2*(5*b^5 + 58*a^2*b*c^2 - 36*a*b^3*c))/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a*x*(5*b^6 - 14*a^3*c^3 + 71*a^2*b^2*c^2 - 38*a*b^4*c))/(c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(a^2*c^3 + c^5*x^4 + x^2*(2*a*c^4 + b^2*c^3) + 2*b*c^4*x^3 + 2*a*b*c^3*x) + (log(a + b*x + c*x^2)*(3*b^11 - 3072*a^5*b*c^5 + 480*a^2*b^7*c^2 - 1920*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 60*a*b^9*c))/(2*(1024*a^5*c^9 - b^10*c^4 + 20*a*b^8*c^5 - 160*a^2*b^6*c^6 + 640*a^3*b^4*c^7 - 1280*a^4*b^2*c^8)) + (3*atan((((3*x*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(c^3*(4*a*c - b^2)^5) + (3*(b^5*c^3 - 8*a*b^3*c^4 + 16*a^2*b*c^5)*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(2*c^7*(4*a*c - b^2)^5*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(32*a^2*c^6*(4*a*c - b^2)^(5/2) + 2*b^4*c^4*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^5*(4*a*c - b^2)^(5/2)))/(3*b^6 - 60*a^3*c^3 + 90*a^2*b^2*c^2 - 30*a*b^4*c))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(c^4*(4*a*c - b^2)^(5/2))","B"
432,1,620,190,2.203428,"\text{Not used}","int(1/(x*(c + a/x^2 + b/x)^3),x)","\frac{\frac{3\,a^2\,\left(8\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(32\,a^3\,c^3+11\,a^2\,b^2\,c^2-19\,a\,b^4\,c+3\,b^6\right)}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{b\,x^3\,\left(25\,a^2\,c^2-15\,a\,b^2\,c+2\,b^4\right)}{c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a\,b\,x\,\left(31\,a^2\,c^2-22\,a\,b^2\,c+3\,b^4\right)}{c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-1024\,a^5\,c^5+1280\,a^4\,b^2\,c^4-640\,a^3\,b^4\,c^3+160\,a^2\,b^6\,c^2-20\,a\,b^8\,c+b^{10}\right)}{2\,\left(1024\,a^5\,c^8-1280\,a^4\,b^2\,c^7+640\,a^3\,b^4\,c^6-160\,a^2\,b^6\,c^5+20\,a\,b^8\,c^4-b^{10}\,c^3\right)}-\frac{b\,\mathrm{atan}\left(\frac{\left(\frac{b\,x\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^5}+\frac{b^2\,\left(16\,a^2\,c^4-8\,a\,b^2\,c^3+b^4\,c^2\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{2\,c^5\,{\left(4\,a\,c-b^2\right)}^5\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(32\,a^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)}{30\,a^2\,b\,c^2-10\,a\,b^3\,c+b^5}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((3*a^2*(b^4 + 8*a^2*c^2 - 7*a*b^2*c))/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(3*b^6 + 32*a^3*c^3 + 11*a^2*b^2*c^2 - 19*a*b^4*c))/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (b*x^3*(2*b^4 + 25*a^2*c^2 - 15*a*b^2*c))/(c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a*b*x*(3*b^4 + 31*a^2*c^2 - 22*a*b^2*c))/(c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (log(a + b*x + c*x^2)*(b^10 - 1024*a^5*c^5 + 160*a^2*b^6*c^2 - 640*a^3*b^4*c^3 + 1280*a^4*b^2*c^4 - 20*a*b^8*c))/(2*(1024*a^5*c^8 - b^10*c^3 + 20*a*b^8*c^4 - 160*a^2*b^6*c^5 + 640*a^3*b^4*c^6 - 1280*a^4*b^2*c^7)) - (b*atan((((b*x*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(c^2*(4*a*c - b^2)^5) + (b^2*(16*a^2*c^4 + b^4*c^2 - 8*a*b^2*c^3)*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(2*c^5*(4*a*c - b^2)^5*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(32*a^2*c^5*(4*a*c - b^2)^(5/2) + 2*b^4*c^3*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^4*(4*a*c - b^2)^(5/2)))/(b^5 + 30*a^2*b*c^2 - 10*a*b^3*c))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(c^3*(4*a*c - b^2)^(5/2))","B"
433,1,343,111,0.194651,"\text{Not used}","int(1/(x^2*(c + a/x^2 + b/x)^3),x)","\frac{12\,a^2\,\mathrm{atan}\left(\frac{\left(\frac{6\,a^2\,\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{12\,a^2\,c\,x}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,a^2}\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{x^3\,\left(10\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a^2\,\left(b^3-10\,a\,b\,c\right)}{2\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^2\,\left(2\,a^2\,b\,c^2+8\,a\,b^3\,c-b^5\right)}{2\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a\,x\,\left(6\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(12*a^2*atan((((6*a^2*(b^5 + 16*a^2*b*c^2 - 8*a*b^3*c))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (12*a^2*c*x)/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*a^2)))/(4*a*c - b^2)^(5/2) - ((x^3*(b^4 + 10*a^2*c^2 - 8*a*b^2*c))/(c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a^2*(b^3 - 10*a*b*c))/(2*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^2*(2*a^2*b*c^2 - b^5 + 8*a*b^3*c))/(2*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a*x*(b^4 + 6*a^2*c^2 - 10*a*b^2*c))/(c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
434,1,271,107,1.429263,"\text{Not used}","int(1/(x^3*(c + a/x^2 + b/x)^3),x)","-\frac{\frac{x^2\,\left(16\,a^2\,c^2+a\,b^2\,c+b^4\right)}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a^2\,\left(b^2+8\,a\,c\right)}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,a\,b\,c\,x^3}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{a\,b\,x\,\left(b^2+5\,a\,c\right)}{c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{6\,a\,b\,\mathrm{atan}\left(\frac{\left(\frac{3\,a\,b^2}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{6\,a\,b\,c\,x}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{3\,a\,b}\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"- ((x^2*(b^4 + 16*a^2*c^2 + a*b^2*c))/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a^2*(8*a*c + b^2))/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*a*b*c*x^3)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (a*b*x*(5*a*c + b^2))/(c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (6*a*b*atan((((3*a*b^2)/(4*a*c - b^2)^(5/2) + (6*a*b*c*x)/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(3*a*b)))/(4*a*c - b^2)^(5/2)","B"
435,1,313,115,1.499599,"\text{Not used}","int(1/(x^4*(c + a/x^2 + b/x)^3),x)","\frac{\frac{3\,a^2\,b}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}-\frac{a\,x\,\left(2\,a\,c-5\,b^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,b\,x^2\,\left(b^2+2\,a\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{c\,x^3\,\left(b^2+2\,a\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\frac{2\,\mathrm{atan}\left(\frac{\left(\frac{\left(b^2+2\,a\,c\right)\,\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{2\,c\,x\,\left(b^2+2\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{b^2+2\,a\,c}\right)\,\left(b^2+2\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((3*a^2*b)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) - (a*x*(2*a*c - 5*b^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*b*x^2*(2*a*c + b^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (c*x^3*(2*a*c + b^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + (2*atan(((((2*a*c + b^2)*(b^5 + 16*a^2*b*c^2 - 8*a*b^3*c))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (2*c*x*(2*a*c + b^2))/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(2*a*c + b^2))*(2*a*c + b^2))/(4*a*c - b^2)^(5/2)","B"
436,1,253,103,1.430377,"\text{Not used}","int(1/(x^5*(c + a/x^2 + b/x)^3),x)","-\frac{\frac{8\,c\,a^2+a\,b^2}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^2\,c\,x^2}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,b\,c^2\,x^3}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{b\,x\,\left(b^2+5\,a\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{6\,b\,c\,\mathrm{atan}\left(\frac{\left(\frac{3\,b^2\,c}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{6\,b\,c^2\,x}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{3\,b\,c}\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"- ((a*b^2 + 8*a^2*c)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^2*c*x^2)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*b*c^2*x^3)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (b*x*(5*a*c + b^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (6*b*c*atan((((3*b^2*c)/(4*a*c - b^2)^(5/2) + (6*b*c^2*x)/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(3*b*c)))/(4*a*c - b^2)^(5/2)","B"
437,1,285,103,1.424020,"\text{Not used}","int(1/(x^6*(c + a/x^2 + b/x)^3),x)","\frac{\frac{6\,c^3\,x^3}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}-\frac{b^3-10\,a\,b\,c}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b\,c^2\,x^2}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{2\,c\,x\,\left(b^2+5\,a\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\frac{12\,c^2\,\mathrm{atan}\left(\frac{\left(\frac{12\,c^3\,x}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{6\,c^2\,\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,c^2}\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((6*c^3*x^3)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) - (b^3 - 10*a*b*c)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b*c^2*x^2)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (2*c*x*(5*a*c + b^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + (12*c^2*atan((((12*c^3*x)/(4*a*c - b^2)^(5/2) + (6*c^2*(b^5 + 16*a^2*b*c^2 - 8*a*b^3*c))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*c^2)))/(4*a*c - b^2)^(5/2)","B"
438,1,1089,185,2.455834,"\text{Not used}","int(1/(x^7*(c + a/x^2 + b/x)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{\frac{3\,\left(8\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}{2\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(16\,a^2\,c^3-29\,a\,b^2\,c^2+4\,b^4\,c\right)}{2\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{b\,x\,\left(a^2\,c^2+6\,a\,b^2\,c-b^4\right)}{a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{b\,c^2\,x^3\,\left(7\,a\,c-b^2\right)}{a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{\ln\left(1536\,a^6\,c^5-2\,b^{11}\,x-2\,a\,b^{10}+2\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+39\,a^2\,b^8\,c+2\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-303\,a^3\,b^6\,c^2+1160\,a^4\,b^4\,c^3-2160\,a^5\,b^2\,c^4-17\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+39\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-321\,a^2\,b^7\,c^2\,x+1286\,a^3\,b^5\,c^3\,x-2560\,a^4\,b^3\,c^4\,x-48\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+40\,a\,b^9\,c\,x+2016\,a^5\,b\,c^5\,x-20\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+63\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)\,\left(1024\,a^5\,c^5-b^{10}+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-160\,a^2\,b^6\,c^2+640\,a^3\,b^4\,c^3-1280\,a^4\,b^2\,c^4+20\,a\,b^8\,c+30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-10\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^5}+\frac{\ln\left(2\,a\,b^{10}+2\,b^{11}\,x-1536\,a^6\,c^5+2\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-39\,a^2\,b^8\,c+2\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+303\,a^3\,b^6\,c^2-1160\,a^4\,b^4\,c^3+2160\,a^5\,b^2\,c^4-17\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+39\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+321\,a^2\,b^7\,c^2\,x-1286\,a^3\,b^5\,c^3\,x+2560\,a^4\,b^3\,c^4\,x-48\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-40\,a\,b^9\,c\,x-2016\,a^5\,b\,c^5\,x-20\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+63\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)\,\left(b^{10}-1024\,a^5\,c^5+b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+160\,a^2\,b^6\,c^2-640\,a^3\,b^4\,c^3+1280\,a^4\,b^2\,c^4-20\,a\,b^8\,c+30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-10\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^5}","Not used",1,"log(x)/a^3 + ((3*(b^4 + 8*a^2*c^2 - 7*a*b^2*c))/(2*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(4*b^4*c + 16*a^2*c^3 - 29*a*b^2*c^2))/(2*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (b*x*(a^2*c^2 - b^4 + 6*a*b^2*c))/(a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (b*c^2*x^3*(7*a*c - b^2))/(a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (log(1536*a^6*c^5 - 2*b^11*x - 2*a*b^10 + 2*a*b^5*(-(4*a*c - b^2)^5)^(1/2) + 39*a^2*b^8*c + 2*b^6*x*(-(4*a*c - b^2)^5)^(1/2) - 303*a^3*b^6*c^2 + 1160*a^4*b^4*c^3 - 2160*a^5*b^2*c^4 - 17*a^2*b^3*c*(-(4*a*c - b^2)^5)^(1/2) + 39*a^3*b*c^2*(-(4*a*c - b^2)^5)^(1/2) - 321*a^2*b^7*c^2*x + 1286*a^3*b^5*c^3*x - 2560*a^4*b^3*c^4*x - 48*a^3*c^3*x*(-(4*a*c - b^2)^5)^(1/2) + 40*a*b^9*c*x + 2016*a^5*b*c^5*x - 20*a*b^4*c*x*(-(4*a*c - b^2)^5)^(1/2) + 63*a^2*b^2*c^2*x*(-(4*a*c - b^2)^5)^(1/2))*(1024*a^5*c^5 - b^10 + b^5*(-(4*a*c - b^2)^5)^(1/2) - 160*a^2*b^6*c^2 + 640*a^3*b^4*c^3 - 1280*a^4*b^2*c^4 + 20*a*b^8*c + 30*a^2*b*c^2*(-(4*a*c - b^2)^5)^(1/2) - 10*a*b^3*c*(-(4*a*c - b^2)^5)^(1/2)))/(2*a^3*(4*a*c - b^2)^5) + (log(2*a*b^10 + 2*b^11*x - 1536*a^6*c^5 + 2*a*b^5*(-(4*a*c - b^2)^5)^(1/2) - 39*a^2*b^8*c + 2*b^6*x*(-(4*a*c - b^2)^5)^(1/2) + 303*a^3*b^6*c^2 - 1160*a^4*b^4*c^3 + 2160*a^5*b^2*c^4 - 17*a^2*b^3*c*(-(4*a*c - b^2)^5)^(1/2) + 39*a^3*b*c^2*(-(4*a*c - b^2)^5)^(1/2) + 321*a^2*b^7*c^2*x - 1286*a^3*b^5*c^3*x + 2560*a^4*b^3*c^4*x - 48*a^3*c^3*x*(-(4*a*c - b^2)^5)^(1/2) - 40*a*b^9*c*x - 2016*a^5*b*c^5*x - 20*a*b^4*c*x*(-(4*a*c - b^2)^5)^(1/2) + 63*a^2*b^2*c^2*x*(-(4*a*c - b^2)^5)^(1/2))*(b^10 - 1024*a^5*c^5 + b^5*(-(4*a*c - b^2)^5)^(1/2) + 160*a^2*b^6*c^2 - 640*a^3*b^4*c^3 + 1280*a^4*b^2*c^4 - 20*a*b^8*c + 30*a^2*b*c^2*(-(4*a*c - b^2)^5)^(1/2) - 10*a*b^3*c*(-(4*a*c - b^2)^5)^(1/2)))/(2*a^3*(4*a*c - b^2)^5)","B"
439,1,1255,239,2.553641,"\text{Not used}","int(1/(x^8*(c + a/x^2 + b/x)^3),x)","-\frac{\frac{1}{a}+\frac{x^2\,\left(50\,a^3\,c^3+7\,a^2\,b^2\,c^2-18\,a\,b^4\,c+3\,b^6\right)}{a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(122\,a^2\,b\,c^2-68\,a\,b^3\,c+9\,b^5\right)}{2\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,x^3\,\left(46\,a^2\,b\,c^3-29\,a\,b^3\,c^2+4\,b^5\,c\right)}{2\,a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,c^2\,x^4\,\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}{a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^3\,\left(b^2+2\,a\,c\right)+a^2\,x+c^2\,x^5+2\,a\,b\,x^2+2\,b\,c\,x^4}-\frac{3\,b\,\ln\left(x\right)}{a^4}-\frac{3\,\ln\left(2\,a\,b^{11}+2\,b^{12}\,x+2\,a\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-39\,a^2\,b^9\,c-1696\,a^6\,b\,c^5+320\,a^6\,c^6\,x+2\,b^7\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+303\,a^3\,b^7\,c^2-1170\,a^4\,b^5\,c^3+2240\,a^5\,b^3\,c^4-10\,a^4\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-17\,a^2\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+321\,a^2\,b^8\,c^2\,x-1296\,a^3\,b^6\,c^3\,x+2660\,a^4\,b^4\,c^4\,x-2336\,a^5\,b^2\,c^5\,x-40\,a\,b^{10}\,c\,x+39\,a^3\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-20\,a\,b^5\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-58\,a^3\,b\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+63\,a^2\,b^3\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)\,\left(b^{11}+b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-1024\,a^5\,b\,c^5+160\,a^2\,b^7\,c^2-640\,a^3\,b^5\,c^3+1280\,a^4\,b^3\,c^4-20\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-20\,a\,b^9\,c+30\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-10\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^5}-\frac{3\,\ln\left(2\,a\,b^{11}+2\,b^{12}\,x-2\,a\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-39\,a^2\,b^9\,c-1696\,a^6\,b\,c^5+320\,a^6\,c^6\,x-2\,b^7\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+303\,a^3\,b^7\,c^2-1170\,a^4\,b^5\,c^3+2240\,a^5\,b^3\,c^4+10\,a^4\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+17\,a^2\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+321\,a^2\,b^8\,c^2\,x-1296\,a^3\,b^6\,c^3\,x+2660\,a^4\,b^4\,c^4\,x-2336\,a^5\,b^2\,c^5\,x-40\,a\,b^{10}\,c\,x-39\,a^3\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+20\,a\,b^5\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+58\,a^3\,b\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-63\,a^2\,b^3\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)\,\left(b^{11}-b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-1024\,a^5\,b\,c^5+160\,a^2\,b^7\,c^2-640\,a^3\,b^5\,c^3+1280\,a^4\,b^3\,c^4+20\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-20\,a\,b^9\,c-30\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+10\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^5}","Not used",1,"- (1/a + (x^2*(3*b^6 + 50*a^3*c^3 + 7*a^2*b^2*c^2 - 18*a*b^4*c))/(a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(9*b^5 + 122*a^2*b*c^2 - 68*a*b^3*c))/(2*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*x^3*(4*b^5*c - 29*a*b^3*c^2 + 46*a^2*b*c^3))/(2*a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*c^2*x^4*(b^4 + 10*a^2*c^2 - 7*a*b^2*c))/(a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^3*(2*a*c + b^2) + a^2*x + c^2*x^5 + 2*a*b*x^2 + 2*b*c*x^4) - (3*b*log(x))/a^4 - (3*log(2*a*b^11 + 2*b^12*x + 2*a*b^6*(-(4*a*c - b^2)^5)^(1/2) - 39*a^2*b^9*c - 1696*a^6*b*c^5 + 320*a^6*c^6*x + 2*b^7*x*(-(4*a*c - b^2)^5)^(1/2) + 303*a^3*b^7*c^2 - 1170*a^4*b^5*c^3 + 2240*a^5*b^3*c^4 - 10*a^4*c^3*(-(4*a*c - b^2)^5)^(1/2) - 17*a^2*b^4*c*(-(4*a*c - b^2)^5)^(1/2) + 321*a^2*b^8*c^2*x - 1296*a^3*b^6*c^3*x + 2660*a^4*b^4*c^4*x - 2336*a^5*b^2*c^5*x - 40*a*b^10*c*x + 39*a^3*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 20*a*b^5*c*x*(-(4*a*c - b^2)^5)^(1/2) - 58*a^3*b*c^3*x*(-(4*a*c - b^2)^5)^(1/2) + 63*a^2*b^3*c^2*x*(-(4*a*c - b^2)^5)^(1/2))*(b^11 + b^6*(-(4*a*c - b^2)^5)^(1/2) - 1024*a^5*b*c^5 + 160*a^2*b^7*c^2 - 640*a^3*b^5*c^3 + 1280*a^4*b^3*c^4 - 20*a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 20*a*b^9*c + 30*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 10*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2)))/(2*a^4*(4*a*c - b^2)^5) - (3*log(2*a*b^11 + 2*b^12*x - 2*a*b^6*(-(4*a*c - b^2)^5)^(1/2) - 39*a^2*b^9*c - 1696*a^6*b*c^5 + 320*a^6*c^6*x - 2*b^7*x*(-(4*a*c - b^2)^5)^(1/2) + 303*a^3*b^7*c^2 - 1170*a^4*b^5*c^3 + 2240*a^5*b^3*c^4 + 10*a^4*c^3*(-(4*a*c - b^2)^5)^(1/2) + 17*a^2*b^4*c*(-(4*a*c - b^2)^5)^(1/2) + 321*a^2*b^8*c^2*x - 1296*a^3*b^6*c^3*x + 2660*a^4*b^4*c^4*x - 2336*a^5*b^2*c^5*x - 40*a*b^10*c*x - 39*a^3*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 20*a*b^5*c*x*(-(4*a*c - b^2)^5)^(1/2) + 58*a^3*b*c^3*x*(-(4*a*c - b^2)^5)^(1/2) - 63*a^2*b^3*c^2*x*(-(4*a*c - b^2)^5)^(1/2))*(b^11 - b^6*(-(4*a*c - b^2)^5)^(1/2) - 1024*a^5*b*c^5 + 160*a^2*b^7*c^2 - 640*a^3*b^5*c^3 + 1280*a^4*b^3*c^4 + 20*a^3*c^3*(-(4*a*c - b^2)^5)^(1/2) - 20*a*b^9*c - 30*a^2*b^2*c^2*(-(4*a*c - b^2)^5)^(1/2) + 10*a*b^4*c*(-(4*a*c - b^2)^5)^(1/2)))/(2*a^4*(4*a*c - b^2)^5)","B"
440,1,26,40,0.045669,"\text{Not used}","int(x^2/(13/x + 2/x^2 + 15),x)","\frac{139\,x}{3375}-\frac{16\,\ln\left(x+\frac{2}{3}\right)}{567}+\frac{\ln\left(x+\frac{1}{5}\right)}{4375}-\frac{13\,x^2}{450}+\frac{x^3}{45}","Not used",1,"(139*x)/3375 - (16*log(x + 2/3))/567 + log(x + 1/5)/4375 - (13*x^2)/450 + x^3/45","B"
441,1,21,33,1.309786,"\text{Not used}","int(x/(13/x + 2/x^2 + 15),x)","\frac{8\,\ln\left(x+\frac{2}{3}\right)}{189}-\frac{13\,x}{225}-\frac{\ln\left(x+\frac{1}{5}\right)}{875}+\frac{x^2}{30}","Not used",1,"(8*log(x + 2/3))/189 - (13*x)/225 - log(x + 1/5)/875 + x^2/30","B"
442,1,16,26,0.076806,"\text{Not used}","int(1/(13/x + 2/x^2 + 15),x)","\frac{x}{15}-\frac{4\,\ln\left(x+\frac{2}{3}\right)}{63}+\frac{\ln\left(x+\frac{1}{5}\right)}{175}","Not used",1,"x/15 - (4*log(x + 2/3))/63 + log(x + 1/5)/175","B"
443,1,13,21,0.066002,"\text{Not used}","int(1/(x*(13/x + 2/x^2 + 15)),x)","\frac{2\,\ln\left(x+\frac{2}{3}\right)}{21}-\frac{\ln\left(x+\frac{1}{5}\right)}{35}","Not used",1,"(2*log(x + 2/3))/21 - log(x + 1/5)/35","B"
444,1,8,23,1.372887,"\text{Not used}","int(1/(x^2*(13/x + 2/x^2 + 15)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{30\,x}{7}+\frac{13}{7}\right)}{7}","Not used",1,"-(2*atanh((30*x)/7 + 13/7))/7","B"
445,1,17,27,1.385257,"\text{Not used}","int(1/(x^3*(13/x + 2/x^2 + 15)),x)","\frac{3\,\ln\left(x+\frac{2}{3}\right)}{14}-\frac{5\,\ln\left(x+\frac{1}{5}\right)}{7}+\frac{\ln\left(x\right)}{2}","Not used",1,"(3*log(x + 2/3))/14 - (5*log(x + 1/5))/7 + log(x)/2","B"
446,1,22,34,0.043788,"\text{Not used}","int(1/(x^4*(13/x + 2/x^2 + 15)),x)","\frac{25\,\ln\left(x+\frac{1}{5}\right)}{7}-\frac{9\,\ln\left(x+\frac{2}{3}\right)}{28}-\frac{13\,\ln\left(x\right)}{4}-\frac{1}{2\,x}","Not used",1,"(25*log(x + 1/5))/7 - (9*log(x + 2/3))/28 - (13*log(x))/4 - 1/(2*x)","B"
447,1,26,41,1.311756,"\text{Not used}","int(1/(x^5*(13/x + 2/x^2 + 15)),x)","\frac{27\,\ln\left(x+\frac{2}{3}\right)}{56}-\frac{125\,\ln\left(x+\frac{1}{5}\right)}{7}+\frac{139\,\ln\left(x\right)}{8}+\frac{\frac{13\,x}{4}-\frac{1}{4}}{x^2}","Not used",1,"(27*log(x + 2/3))/56 - (125*log(x + 1/5))/7 + (139*log(x))/8 + ((13*x)/4 - 1/4)/x^2","B"
448,1,32,48,0.046808,"\text{Not used}","int(1/(x^6*(13/x + 2/x^2 + 15)),x)","\frac{625\,\ln\left(x+\frac{1}{5}\right)}{7}-\frac{81\,\ln\left(x+\frac{2}{3}\right)}{112}-\frac{1417\,\ln\left(x\right)}{16}-\frac{\frac{139\,x^2}{8}-\frac{13\,x}{8}+\frac{1}{6}}{x^3}","Not used",1,"(625*log(x + 1/5))/7 - (81*log(x + 2/3))/112 - (1417*log(x))/16 - ((139*x^2)/8 - (13*x)/8 + 1/6)/x^3","B"
449,0,-1,204,0.000000,"\text{Not used}","int((a + b/x + c/x^2)^(5/2),x)","\int {\left(a+\frac{b}{x}+\frac{c}{x^2}\right)}^{5/2} \,d x","Not used",1,"int((a + b/x + c/x^2)^(5/2), x)","F"
450,0,-1,145,0.000000,"\text{Not used}","int((a + b/x + c/x^2)^(3/2),x)","\int {\left(a+\frac{b}{x}+\frac{c}{x^2}\right)}^{3/2} \,d x","Not used",1,"int((a + b/x + c/x^2)^(3/2), x)","F"
451,1,100,105,0.125641,"\text{Not used}","int((a + b/x + c/x^2)^(1/2),x)","x\,\sqrt{\frac{1}{x^2}}\,\sqrt{a\,x^2+b\,x+c}-\sqrt{c}\,x\,\ln\left(\frac{2\,c+2\,\sqrt{c}\,\sqrt{a\,x^2+b\,x+c}+b\,x}{x}\right)\,\sqrt{\frac{1}{x^2}}+\frac{b\,x\,\ln\left(\frac{\frac{b}{2}+\sqrt{a}\,\sqrt{a\,x^2+b\,x+c}+a\,x}{\sqrt{a}}\right)\,\sqrt{\frac{1}{x^2}}}{2\,\sqrt{a}}","Not used",1,"x*(1/x^2)^(1/2)*(c + b*x + a*x^2)^(1/2) - c^(1/2)*x*log((2*c + 2*c^(1/2)*(c + b*x + a*x^2)^(1/2) + b*x)/x)*(1/x^2)^(1/2) + (b*x*log((b/2 + a^(1/2)*(c + b*x + a*x^2)^(1/2) + a*x)/a^(1/2))*(1/x^2)^(1/2))/(2*a^(1/2))","B"
452,1,53,67,1.451894,"\text{Not used}","int(1/(a + b/x + c/x^2)^(1/2),x)","\frac{x\,\sqrt{a+\frac{b}{x}+\frac{c}{x^2}}}{a}-\frac{b\,\mathrm{atanh}\left(\frac{a+\frac{b}{2\,x}}{\sqrt{a}\,\sqrt{a+\frac{b}{x}+\frac{c}{x^2}}}\right)}{2\,a^{3/2}}","Not used",1,"(x*(a + b/x + c/x^2)^(1/2))/a - (b*atanh((a + b/(2*x))/(a^(1/2)*(a + b/x + c/x^2)^(1/2))))/(2*a^(3/2))","B"
453,0,-1,133,0.000000,"\text{Not used}","int(1/(a + b/x + c/x^2)^(3/2),x)","\int \frac{1}{{\left(a+\frac{b}{x}+\frac{c}{x^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b/x + c/x^2)^(3/2), x)","F"
454,0,-1,220,0.000000,"\text{Not used}","int(1/(a + b/x + c/x^2)^(5/2),x)","\int \frac{1}{{\left(a+\frac{b}{x}+\frac{c}{x^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b/x + c/x^2)^(5/2), x)","F"
455,1,134,73,0.111934,"\text{Not used}","int((a^2 + b^2/x^2 + (2*a*b)/x)^(1/2),x)","x\,\sqrt{\frac{1}{x^2}}\,\sqrt{a^2\,x^2+2\,a\,b\,x+b^2}-x\,\ln\left(\frac{2\,\sqrt{b^2}\,\sqrt{a^2\,x^2+2\,a\,b\,x+b^2}+2\,b^2+2\,a\,b\,x}{x}\right)\,\sqrt{b^2}\,\sqrt{\frac{1}{x^2}}+\frac{a\,b\,x\,\ln\left(\frac{a\,b+\sqrt{a^2}\,\sqrt{a^2\,x^2+2\,a\,b\,x+b^2}+a^2\,x}{\sqrt{a^2}}\right)\,\sqrt{\frac{1}{x^2}}}{\sqrt{a^2}}","Not used",1,"x*(1/x^2)^(1/2)*(b^2 + a^2*x^2 + 2*a*b*x)^(1/2) - x*log((2*(b^2)^(1/2)*(b^2 + a^2*x^2 + 2*a*b*x)^(1/2) + 2*b^2 + 2*a*b*x)/x)*(b^2)^(1/2)*(1/x^2)^(1/2) + (a*b*x*log((a*b + (a^2)^(1/2)*(b^2 + a^2*x^2 + 2*a*b*x)^(1/2) + a^2*x)/(a^2)^(1/2))*(1/x^2)^(1/2))/(a^2)^(1/2)","B"
456,1,3026,179,2.078962,"\text{Not used}","int(1/(c + a/x^4 + b/x^2),x)","\frac{x}{c}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,a^2\,b}{c}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,a^2\,b}{c}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"x/c - atan(((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*a^2*b)/c))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i - atan(((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*a^2*b)/c))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i","B"
457,1,2280,631,4.539593,"\text{Not used}","int(1/(c + a/x^6 + b/x^3),x)","\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{4\,c\,\left(4\,a\,c-b^2\right)}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\frac{x}{c}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{4\,c\,\left(4\,a\,c-b^2\right)}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}-\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^4-16\,a^2\,c^2+8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-32\,a^3\,b\,c^3+32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}+\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}-\frac{3\,2^{2/3}\,a\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}-\ln\left(\frac{3\,a^2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}+\frac{3\,2^{2/3}\,a\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}^{1/3}\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)\,\left(b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+b^4+16\,a^2\,c^2-8\,a\,b^2\,c\right)}{8\,c\,\left(4\,a\,c-b^2\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+32\,a^3\,b\,c^3-32\,a^2\,b^3\,c^2+2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b^5\,c-4\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{54\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}\right)}^{1/3}","Not used",1,"log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(4*c*(4*a*c - b^2)))*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + x/c + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(4*c*(4*a*c - b^2)))*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*(3^(1/2)*1i - 1)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 - 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) - log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(3^(1/2)*1i + 1)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) - b^4 - 16*a^2*c^2 + 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 + 1/2)*((b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 32*a^3*b*c^3 + 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) + log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c - (3*2^(2/3)*a*(3^(1/2)*1i - 1)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 - 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3) - log((3*a^2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c + (3*2^(2/3)*a*(3^(1/2)*1i + 1)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(c^4*(4*a*c - b^2)^3))^(1/3)*(b^4 + 2*a^2*c^2 - 4*a*b^2*c)*(b*(-(4*a*c - b^2)^3)^(1/2) + b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(8*c*(4*a*c - b^2)))*((3^(1/2)*1i)/2 + 1/2)*(-(b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 32*a^3*b*c^3 - 32*a^2*b^3*c^2 + 2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b^5*c - 4*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(54*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)))^(1/3)","B"
458,1,10382,376,3.775763,"\text{Not used}","int(1/(c + a/x^8 + b/x^4),x)","\frac{x}{c}-2\,\mathrm{atan}\left(\frac{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-2\,\mathrm{atan}\left(\frac{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}{\left(\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}+\left(-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}+\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)\,4{}\mathrm{i}}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}-\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,1{}\mathrm{i}}{\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}-\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}-\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\left(\left(\frac{16\,\left(-4\,a^6\,c^3+13\,a^5\,b^2\,c^2-7\,a^4\,b^4\,c+a^3\,b^6\right)}{c}+\frac{4\,x\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{3/4}\,\left(4096\,a^5\,b\,c^6-2048\,a^4\,b^3\,c^5+256\,a^3\,b^5\,c^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}+\frac{4\,x\,\left(2\,a^6\,c^2-4\,a^5\,b^2\,c+a^4\,b^4\right)}{c}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}}\right)\,{\left(-\frac{b^9-b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}+80\,a^4\,b\,c^4+61\,a^2\,b^5\,c^2-120\,a^3\,b^3\,c^3-a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}-13\,a\,b^7\,c+3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^5}}{512\,\left(256\,a^4\,c^9-256\,a^3\,b^2\,c^8+96\,a^2\,b^4\,c^7-16\,a\,b^6\,c^6+b^8\,c^5\right)}\right)}^{1/4}\,2{}\mathrm{i}","Not used",1,"atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i)/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*2i + atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i)/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (4*x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*2i - 2*atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4))/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i))*(-(b^9 + b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 + a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c - 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - 2*atan(((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) - (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4))/((((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c - (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i + (((16*(a^3*b^6 - 4*a^6*c^3 - 7*a^4*b^4*c + 13*a^5*b^2*c^2))/c + (x*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(3/4)*(4096*a^5*b*c^6 + 256*a^3*b^5*c^4 - 2048*a^4*b^3*c^5)*4i)/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i - (4*x*(a^4*b^4 + 2*a^6*c^2 - 4*a^5*b^2*c))/c)*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4)*1i))*(-(b^9 - b^4*(-(4*a*c - b^2)^5)^(1/2) + 80*a^4*b*c^4 + 61*a^2*b^5*c^2 - 120*a^3*b^3*c^3 - a^2*c^2*(-(4*a*c - b^2)^5)^(1/2) - 13*a*b^7*c + 3*a*b^2*c*(-(4*a*c - b^2)^5)^(1/2))/(512*(256*a^4*c^9 + b^8*c^5 - 16*a*b^6*c^6 + 96*a^2*b^4*c^7 - 256*a^3*b^2*c^8)))^(1/4) + x/c","B"
459,0,-1,106,0.000000,"\text{Not used}","int((a + c*x + b*x^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{a+c\,x+b\,\sqrt{x}}}{x} \,d x","Not used",1,"int((a + c*x + b*x^(1/2))^(1/2)/x, x)","F"
460,1,44,40,0.038165,"\text{Not used}","int((c*x + b*x^(1/2) + b^2/(4*c))^2,x)","\frac{3\,b^2\,x^2}{4}+\frac{c^2\,x^3}{3}+\frac{b^4\,x}{16\,c^2}+\frac{b^3\,x^{3/2}}{3\,c}+\frac{4\,b\,c\,x^{5/2}}{5}","Not used",1,"(3*b^2*x^2)/4 + (c^2*x^3)/3 + (b^4*x)/(16*c^2) + (b^3*x^(3/2))/(3*c) + (4*b*c*x^(5/2))/5","B"
461,0,-1,75,0.000000,"\text{Not used}","int(1/(b^2*x + a^2 + 2*a*b*x^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{b^2\,x+a^2+2\,a\,b\,\sqrt{x}}} \,d x","Not used",1,"int(1/(b^2*x + a^2 + 2*a*b*x^(1/2))^(1/2), x)","F"
462,0,-1,137,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(7/2),x)","\int {\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^{7/2} \,d x","Not used",1,"int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(7/2), x)","F"
463,0,-1,137,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(5/2),x)","\int {\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^{5/2} \,d x","Not used",1,"int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(5/2), x)","F"
464,0,-1,137,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(3/2),x)","\int {\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^{3/2} \,d x","Not used",1,"int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(3/2), x)","F"
465,1,71,88,1.561182,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2),x)","\frac{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}\,\left(a^3-4\,a^2\,b\,x^{1/3}-5\,a\,b^2\,x^{2/3}+3\,b\,x^{1/3}\,\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)\right)}{4\,b^3}","Not used",1,"((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2)*(a^3 - 4*a^2*b*x^(1/3) - 5*a*b^2*x^(2/3) + 3*b*x^(1/3)*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))))/(4*b^3)","B"
466,0,-1,147,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2),x)","\int \frac{1}{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2), x)","F"
467,0,-1,130,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(3/2),x)","\int \frac{1}{{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(3/2), x)","F"
468,1,53,135,2.803931,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(5/2),x)","-\frac{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}\,\left(a^2+6\,b^2\,x^{2/3}+4\,a\,b\,x^{1/3}\right)}{4\,b^3\,{\left(a+b\,x^{1/3}\right)}^5}","Not used",1,"-((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2)*(a^2 + 6*b^2*x^(2/3) + 4*a*b*x^(1/3)))/(4*b^3*(a + b*x^(1/3))^5)","B"
469,1,53,137,3.227541,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(7/2),x)","-\frac{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}\,\left(a^2+15\,b^2\,x^{2/3}+6\,a\,b\,x^{1/3}\right)}{20\,b^3\,{\left(a+b\,x^{1/3}\right)}^7}","Not used",1,"-((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2)*(a^2 + 15*b^2*x^(2/3) + 6*a*b*x^(1/3)))/(20*b^3*(a + b*x^(1/3))^7)","B"
470,1,53,137,3.653884,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(9/2),x)","-\frac{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}\,\left(a^2+28\,b^2\,x^{2/3}+8\,a\,b\,x^{1/3}\right)}{56\,b^3\,{\left(a+b\,x^{1/3}\right)}^9}","Not used",1,"-((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2)*(a^2 + 28*b^2*x^(2/3) + 8*a*b*x^(1/3)))/(56*b^3*(a + b*x^(1/3))^9)","B"
471,1,53,137,4.344131,"\text{Not used}","int(1/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(11/2),x)","-\frac{\sqrt{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}\,\left(a^2+45\,b^2\,x^{2/3}+10\,a\,b\,x^{1/3}\right)}{120\,b^3\,{\left(a+b\,x^{1/3}\right)}^{11}}","Not used",1,"-((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^(1/2)*(a^2 + 45*b^2*x^(2/3) + 10*a*b*x^(1/3)))/(120*b^3*(a + b*x^(1/3))^11)","B"
472,0,-1,77,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p,x)","\int {\left(d\,x\right)}^m\,{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p, x)","F"
473,1,777,468,3.515299,"\text{Not used}","int(x^2*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p,x)","{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p\,\left(\frac{3\,x^3\,\left(16\,p^8+288\,p^7+2184\,p^6+9072\,p^5+22449\,p^4+33642\,p^3+29531\,p^2+13698\,p+2520\right)}{32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680}+\frac{7560\,a^9}{b^9\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}-\frac{15120\,a^8\,p\,x^{1/3}}{b^8\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}+\frac{3\,a\,p\,x^{8/3}\,\left(16\,p^7+224\,p^6+1288\,p^5+3920\,p^4+6769\,p^3+6566\,p^2+3267\,p+630\right)}{b\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}+\frac{84\,a^3\,p\,x^2\,\left(8\,p^5+60\,p^4+170\,p^3+225\,p^2+137\,p+30\right)}{b^3\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}-\frac{5040\,a^6\,p\,x\,\left(2\,p^2+3\,p+1\right)}{b^6\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}-\frac{24\,a^2\,p\,x^{7/3}\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}{b^2\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}+\frac{7560\,a^7\,p\,x^{2/3}\,\left(2\,p+1\right)}{b^7\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}+\frac{1260\,a^5\,p\,x^{4/3}\,\left(4\,p^3+12\,p^2+11\,p+3\right)}{b^5\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}-\frac{504\,a^4\,p\,x^{5/3}\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}{b^4\,\left(32\,p^9+720\,p^8+6960\,p^7+37800\,p^6+126546\,p^5+269325\,p^4+361840\,p^3+293175\,p^2+128322\,p+22680\right)}\right)","Not used",1,"(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p*((3*x^3*(13698*p + 29531*p^2 + 33642*p^3 + 22449*p^4 + 9072*p^5 + 2184*p^6 + 288*p^7 + 16*p^8 + 2520))/(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680) + (7560*a^9)/(b^9*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) - (15120*a^8*p*x^(1/3))/(b^8*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) + (3*a*p*x^(8/3)*(3267*p + 6566*p^2 + 6769*p^3 + 3920*p^4 + 1288*p^5 + 224*p^6 + 16*p^7 + 630))/(b*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) + (84*a^3*p*x^2*(137*p + 225*p^2 + 170*p^3 + 60*p^4 + 8*p^5 + 30))/(b^3*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) - (5040*a^6*p*x*(3*p + 2*p^2 + 1))/(b^6*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) - (24*a^2*p*x^(7/3)*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90))/(b^2*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) + (7560*a^7*p*x^(2/3)*(2*p + 1))/(b^7*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) + (1260*a^5*p*x^(4/3)*(11*p + 12*p^2 + 4*p^3 + 3))/(b^5*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)) - (504*a^4*p*x^(5/3)*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6))/(b^4*(128322*p + 293175*p^2 + 361840*p^3 + 269325*p^4 + 126546*p^5 + 37800*p^6 + 6960*p^7 + 720*p^8 + 32*p^9 + 22680)))","B"
474,1,390,315,2.166041,"\text{Not used}","int(x*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p,x)","{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p\,\left(\frac{3\,x^2\,\left(8\,p^5+60\,p^4+170\,p^3+225\,p^2+137\,p+30\right)}{2\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}-\frac{45\,a^6}{b^6\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}+\frac{90\,a^5\,p\,x^{1/3}}{b^5\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}-\frac{15\,a^2\,p\,x^{4/3}\,\left(4\,p^3+12\,p^2+11\,p+3\right)}{2\,b^2\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}+\frac{30\,a^3\,p\,x\,\left(2\,p^2+3\,p+1\right)}{b^3\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}-\frac{45\,a^4\,p\,x^{2/3}\,\left(2\,p+1\right)}{b^4\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}+\frac{3\,a\,p\,x^{5/3}\,\left(4\,p^4+20\,p^3+35\,p^2+25\,p+6\right)}{b\,\left(8\,p^6+84\,p^5+350\,p^4+735\,p^3+812\,p^2+441\,p+90\right)}\right)","Not used",1,"(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p*((3*x^2*(137*p + 225*p^2 + 170*p^3 + 60*p^4 + 8*p^5 + 30))/(2*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) - (45*a^6)/(b^6*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) + (90*a^5*p*x^(1/3))/(b^5*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) - (15*a^2*p*x^(4/3)*(11*p + 12*p^2 + 4*p^3 + 3))/(2*b^2*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) + (30*a^3*p*x*(3*p + 2*p^2 + 1))/(b^3*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) - (45*a^4*p*x^(2/3)*(2*p + 1))/(b^4*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)) + (3*a*p*x^(5/3)*(25*p + 35*p^2 + 20*p^3 + 4*p^4 + 6))/(b*(441*p + 812*p^2 + 735*p^3 + 350*p^4 + 84*p^5 + 8*p^6 + 90)))","B"
475,1,138,142,1.541578,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p,x)","{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p\,\left(\frac{3\,x\,\left(2\,p^2+3\,p+1\right)}{4\,p^3+12\,p^2+11\,p+3}+\frac{3\,a^3}{b^3\,\left(4\,p^3+12\,p^2+11\,p+3\right)}-\frac{6\,a^2\,p\,x^{1/3}}{b^2\,\left(4\,p^3+12\,p^2+11\,p+3\right)}+\frac{3\,a\,p\,x^{2/3}\,\left(2\,p+1\right)}{b\,\left(4\,p^3+12\,p^2+11\,p+3\right)}\right)","Not used",1,"(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p*((3*x*(3*p + 2*p^2 + 1))/(11*p + 12*p^2 + 4*p^3 + 3) + (3*a^3)/(b^3*(11*p + 12*p^2 + 4*p^3 + 3)) - (6*a^2*p*x^(1/3))/(b^2*(11*p + 12*p^2 + 4*p^3 + 3)) + (3*a*p*x^(2/3)*(2*p + 1))/(b*(11*p + 12*p^2 + 4*p^3 + 3)))","B"
476,0,-1,69,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p/x,x)","\int \frac{{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p}{x} \,d x","Not used",1,"int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p/x, x)","F"
477,0,-1,75,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p/x^2,x)","\int \frac{{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p/x^2, x)","F"
478,1,69,146,1.647052,"\text{Not used}","int((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p/x^2 - (2*b^3*p*(2*p - 1)*(p - 1)*(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p)/(3*a^3*x),x)","-\frac{{\left(a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}\right)}^p\,\left(\frac{b^3\,x\,\left(2\,p^2-3\,p+1\right)}{a^3}+\frac{b\,p\,x^{1/3}}{a}+\frac{2\,b^2\,p\,x^{2/3}\,\left(p-1\right)}{a^2}+1\right)}{x}","Not used",1,"-((a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3))^p*((b^3*x*(2*p^2 - 3*p + 1))/a^3 + (b*p*x^(1/3))/a + (2*b^2*p*x^(2/3)*(p - 1))/a^2 + 1))/x","B"
479,0,-1,176,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(1/2) + 2*a*b*x^(1/4))^(3/2),x)","\int \frac{1}{{\left(a^2+b^2\,\sqrt{x}+2\,a\,b\,x^{1/4}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(1/2) + 2*a*b*x^(1/4))^(3/2), x)","F"
480,0,-1,268,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(1/3) + 2*a*b*x^(1/6))^(5/2),x)","\int \frac{1}{{\left(a^2+b^2\,x^{1/3}+2\,a\,b\,x^{1/6}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(1/3) + 2*a*b*x^(1/6))^(5/2), x)","F"
481,0,-1,179,0.000000,"\text{Not used}","int((a^2 + b^2/x + (2*a*b)/x^(1/2))^(3/2),x)","\int {\left(a^2+\frac{b^2}{x}+\frac{2\,a\,b}{\sqrt{x}}\right)}^{3/2} \,d x","Not used",1,"int((a^2 + b^2/x + (2*a*b)/x^(1/2))^(3/2), x)","F"
482,0,-1,391,0.000000,"\text{Not used}","int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(7/2),x)","\int {\left(a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}\right)}^{7/2} \,d x","Not used",1,"int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(7/2), x)","F"
483,0,-1,291,0.000000,"\text{Not used}","int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(5/2),x)","\int {\left(a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}\right)}^{5/2} \,d x","Not used",1,"int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(5/2), x)","F"
484,0,-1,189,0.000000,"\text{Not used}","int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(3/2),x)","\int {\left(a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}\right)}^{3/2} \,d x","Not used",1,"int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(3/2), x)","F"
485,1,39,88,1.426219,"\text{Not used}","int((a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(1/2),x)","\frac{x\,\left(a+\frac{3\,b}{2\,x^{1/3}}\right)\,\sqrt{a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}}}{a+\frac{b}{x^{1/3}}}","Not used",1,"(x*(a + (3*b)/(2*x^(1/3)))*(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(1/2))/(a + b/x^(1/3))","B"
486,0,-1,190,0.000000,"\text{Not used}","int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(1/2),x)","\int \frac{1}{\sqrt{a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}}} \,d x","Not used",1,"int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(1/2), x)","F"
487,0,-1,300,0.000000,"\text{Not used}","int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(3/2),x)","\int \frac{1}{{\left(a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(3/2), x)","F"
488,0,-1,410,0.000000,"\text{Not used}","int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(5/2),x)","\int \frac{1}{{\left(a^2+\frac{b^2}{x^{2/3}}+\frac{2\,a\,b}{x^{1/3}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a^2 + b^2/x^(2/3) + (2*a*b)/x^(1/3))^(5/2), x)","F"
489,0,-1,289,0.000000,"\text{Not used}","int((a^2 + b^2/x^(1/2) + (2*a*b)/x^(1/4))^(5/2),x)","\int {\left(a^2+\frac{b^2}{\sqrt{x}}+\frac{2\,a\,b}{x^{1/4}}\right)}^{5/2} \,d x","Not used",1,"int((a^2 + b^2/x^(1/2) + (2*a*b)/x^(1/4))^(5/2), x)","F"
490,0,-1,291,0.000000,"\text{Not used}","int((a^2 + b^2/x^(2/5) + (2*a*b)/x^(1/5))^(5/2),x)","\int {\left(a^2+\frac{b^2}{x^{2/5}}+\frac{2\,a\,b}{x^{1/5}}\right)}^{5/2} \,d x","Not used",1,"int((a^2 + b^2/x^(2/5) + (2*a*b)/x^(1/5))^(5/2), x)","F"
491,0,-1,222,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2/5) + 2*a*b*x^(1/5))^(5/2),x)","\int \frac{1}{{\left(a^2+b^2\,x^{2/5}+2\,a\,b\,x^{1/5}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2/5) + 2*a*b*x^(1/5))^(5/2), x)","F"
492,0,-1,391,0.000000,"\text{Not used}","int((a^2 + b^2/x^(1/3) + (2*a*b)/x^(1/6))^(7/2),x)","\int {\left(a^2+\frac{b^2}{x^{1/3}}+\frac{2\,a\,b}{x^{1/6}}\right)}^{7/2} \,d x","Not used",1,"int((a^2 + b^2/x^(1/3) + (2*a*b)/x^(1/6))^(7/2), x)","F"
493,0,-1,46,0.000000,"\text{Not used}","int(x^(4*n - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{4\,n-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(4*n - 1)/(b*x^n + c*x^(2*n)), x)","F"
494,0,-1,28,0.000000,"\text{Not used}","int(x^(3*n - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{3\,n-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(3*n - 1)/(b*x^n + c*x^(2*n)), x)","F"
495,0,-1,15,0.000000,"\text{Not used}","int(x^(2*n - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{2\,n-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(2*n - 1)/(b*x^n + c*x^(2*n)), x)","F"
496,1,20,23,1.369252,"\text{Not used}","int(x^(n - 1)/(b*x^n + c*x^(2*n)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x^n}{b}+1\right)}{b\,n}","Not used",1,"-(2*atanh((2*c*x^n)/b + 1))/(b*n)","B"
497,0,-1,57,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{n+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(b*x^n + c*x^(2*n))), x)","F"
498,0,-1,76,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{2\,n+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(b*x^n + c*x^(2*n))), x)","F"
499,0,-1,93,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{3\,n+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(b*x^n + c*x^(2*n))), x)","F"
500,0,-1,236,0.000000,"\text{Not used}","int(x^(n/4 - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{4}-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/4 - 1)/(b*x^n + c*x^(2*n)), x)","F"
501,0,-1,160,0.000000,"\text{Not used}","int(x^(n/3 - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{3}-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/3 - 1)/(b*x^n + c*x^(2*n)), x)","F"
502,0,-1,50,0.000000,"\text{Not used}","int(x^(n/2 - 1)/(b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{2}-1}}{b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/2 - 1)/(b*x^n + c*x^(2*n)), x)","F"
503,0,-1,68,0.000000,"\text{Not used}","int(1/(x^(n/2 + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{2}+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/2 + 1)*(b*x^n + c*x^(2*n))), x)","F"
504,0,-1,176,0.000000,"\text{Not used}","int(1/(x^(n/3 + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{3}+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/3 + 1)*(b*x^n + c*x^(2*n))), x)","F"
505,0,-1,252,0.000000,"\text{Not used}","int(1/(x^(n/4 + 1)*(b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{4}+1}\,\left(b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/4 + 1)*(b*x^n + c*x^(2*n))), x)","F"
506,0,-1,37,0.000000,"\text{Not used}","int((b*x^n + c*x^(2*n))^p/x^(n*(p - 1) + 1),x)","\int \frac{{\left(b\,x^n+c\,x^{2\,n}\right)}^p}{x^{n\,\left(p-1\right)+1}} \,d x","Not used",1,"int((b*x^n + c*x^(2*n))^p/x^(n*(p - 1) + 1), x)","F"
507,0,-1,38,0.000000,"\text{Not used}","int((b*x^n + c*x^(2*n))^p/x^(n*(2*p + 1) + 1),x)","\int \frac{{\left(b\,x^n+c\,x^{2\,n}\right)}^p}{x^{n\,\left(2\,p+1\right)+1}} \,d x","Not used",1,"int((b*x^n + c*x^(2*n))^p/x^(n*(2*p + 1) + 1), x)","F"
508,0,-1,112,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(5/2),x)","\int x^{2\,n-1}\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{5/2} \,d x","Not used",1,"int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(5/2), x)","F"
509,0,-1,112,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int x^{2\,n-1}\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2} \,d x","Not used",1,"int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
510,0,-1,99,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int x^{2\,n-1}\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n} \,d x","Not used",1,"int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
511,0,-1,90,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \frac{x^{2\,n-1}}{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
512,0,-1,48,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int \frac{x^{2\,n-1}}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
513,0,-1,88,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(5/2),x)","\int \frac{x^{2\,n-1}}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(5/2), x)","F"
514,0,-1,88,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(7/2),x)","\int \frac{x^{2\,n-1}}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{7/2}} \,d x","Not used",1,"int(x^(2*n - 1)/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(7/2), x)","F"
515,0,-1,108,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n} \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
516,0,-1,93,0.000000,"\text{Not used}","int(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int x^2\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n} \,d x","Not used",1,"int(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
517,0,-1,93,0.000000,"\text{Not used}","int(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int x\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n} \,d x","Not used",1,"int(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
518,0,-1,88,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
519,0,-1,85,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x,x)","\int \frac{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}}{x} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x, x)","F"
520,0,-1,94,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x^2,x)","\int \frac{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x^2, x)","F"
521,0,-1,96,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x^3,x)","\int \frac{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}}{x^3} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)/x^3, x)","F"
522,0,-1,238,0.000000,"\text{Not used}","int((d*x)^m*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int {\left(d\,x\right)}^m\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2} \,d x","Not used",1,"int((d*x)^m*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
523,0,-1,212,0.000000,"\text{Not used}","int(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int x^2\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
524,0,-1,211,0.000000,"\text{Not used}","int(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int x\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2} \,d x","Not used",1,"int(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
525,0,-1,206,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int {\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
526,0,-1,196,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x,x)","\int \frac{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}}{x} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x, x)","F"
527,0,-1,212,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x^2,x)","\int \frac{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x^2, x)","F"
528,0,-1,218,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x^3,x)","\int \frac{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)/x^3, x)","F"
529,0,-1,76,0.000000,"\text{Not used}","int((d*x)^m/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int((d*x)^m/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
530,0,-1,64,0.000000,"\text{Not used}","int(x^2/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \frac{x^2}{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(x^2/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
531,0,-1,64,0.000000,"\text{Not used}","int(x/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \frac{x}{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(x/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
532,0,-1,55,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2),x)","\int \frac{1}{\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2), x)","F"
533,0,-1,85,0.000000,"\text{Not used}","int(1/(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)),x)","\int \frac{1}{x\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(1/(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)), x)","F"
534,0,-1,65,0.000000,"\text{Not used}","int(1/(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(1/(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)), x)","F"
535,0,-1,67,0.000000,"\text{Not used}","int(1/(x^3*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n}} \,d x","Not used",1,"int(1/(x^3*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(1/2)), x)","F"
536,0,-1,76,0.000000,"\text{Not used}","int((d*x)^m/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
537,0,-1,64,0.000000,"\text{Not used}","int(x^2/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int \frac{x^2}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
538,0,-1,64,0.000000,"\text{Not used}","int(x/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int \frac{x}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
539,0,-1,57,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2),x)","\int \frac{1}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2), x)","F"
540,0,-1,159,0.000000,"\text{Not used}","int(1/(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)),x)","\int \frac{1}{x\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)), x)","F"
541,0,-1,65,0.000000,"\text{Not used}","int(1/(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)),x)","\int \frac{1}{x^2\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)), x)","F"
542,0,-1,67,0.000000,"\text{Not used}","int(1/(x^3*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)),x)","\int \frac{1}{x^3\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^(3/2)), x)","F"
543,0,-1,52,0.000000,"\text{Not used}","int((a^2 + b^2/x^(2/(2*p + 1)) + (2*a*b)/x^(1/(2*p + 1)))^p,x)","\int {\left(a^2+\frac{b^2}{x^{\frac{2}{2\,p+1}}}+\frac{2\,a\,b}{x^{\frac{1}{2\,p+1}}}\right)}^p \,d x","Not used",1,"int((a^2 + b^2/x^(2/(2*p + 1)) + (2*a*b)/x^(1/(2*p + 1)))^p, x)","F"
544,0,-1,43,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^((n/2 + 1/2)/n),x)","\int \frac{1}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{\frac{\frac{n}{2}+\frac{1}{2}}{n}}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^((n/2 + 1/2)/n), x)","F"
545,0,-1,130,0.000000,"\text{Not used}","int((b^2/x^(1/(p + 1)) + a^2 + (2*a*b)/x^(1/(2*(p + 1))))^p,x)","\int {\left(\frac{b^2}{x^{\frac{1}{p+1}}}+a^2+\frac{2\,a\,b}{x^{\frac{1}{2\,\left(p+1\right)}}}\right)}^p \,d x","Not used",1,"int((b^2/x^(1/(p + 1)) + a^2 + (2*a*b)/x^(1/(2*(p + 1))))^p, x)","F"
546,0,-1,102,0.000000,"\text{Not used}","int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^((n + 1/2)/n),x)","\int \frac{1}{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^{\frac{n+\frac{1}{2}}{n}}} \,d x","Not used",1,"int(1/(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^((n + 1/2)/n), x)","F"
547,0,-1,117,0.000000,"\text{Not used}","int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^p/(d*x)^(2*n*(p + 1) + 1),x)","\int \frac{{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^p}{{\left(d\,x\right)}^{2\,n\,\left(p+1\right)+1}} \,d x","Not used",1,"int((a^2 + b^2*x^(2*n) + 2*a*b*x^n)^p/(d*x)^(2*n*(p + 1) + 1), x)","F"
548,0,-1,103,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^p,x)","\int x^{2\,n-1}\,{\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}^p \,d x","Not used",1,"int(x^(2*n - 1)*(a^2 + b^2*x^(2*n) + 2*a*b*x^n)^p, x)","F"
549,0,-1,111,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{4\,n-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
550,0,-1,87,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{3\,n-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
551,0,-1,68,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{2\,n-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(2*n - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
552,1,39,39,1.467245,"\text{Not used}","int(x^(n - 1)/(a + b*x^n + c*x^(2*n)),x)","\frac{2\,\mathrm{atan}\left(\frac{b+2\,c\,x^n}{\sqrt{4\,a\,c-b^2}}\right)}{n\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*atan((b + 2*c*x^n)/(4*a*c - b^2)^(1/2)))/(n*(4*a*c - b^2)^(1/2))","B"
553,0,-1,98,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{n+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
554,0,-1,126,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{2\,n+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
555,0,-1,164,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{3\,n+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
556,0,-1,353,0.000000,"\text{Not used}","int(x^(n/4 - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{4}-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/4 - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
557,0,-1,610,0.000000,"\text{Not used}","int(x^(n/3 - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{3}-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/3 - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
558,0,-1,169,0.000000,"\text{Not used}","int(x^(n/2 - 1)/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^{\frac{n}{2}-1}}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^(n/2 - 1)/(a + b*x^n + c*x^(2*n)), x)","F"
559,0,-1,205,0.000000,"\text{Not used}","int(1/(x^(n/2 + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{2}+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/2 + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
560,0,-1,699,0.000000,"\text{Not used}","int(1/(x^(n/3 + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{3}+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/3 + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
561,0,-1,414,0.000000,"\text{Not used}","int(1/(x^(n/4 + 1)*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^{\frac{n}{4}+1}\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^(n/4 + 1)*(a + b*x^n + c*x^(2*n))), x)","F"
562,0,-1,140,0.000000,"\text{Not used}","int(x^2/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x^2}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^2/(a + b*x^n + c*x^(2*n)), x)","F"
563,0,-1,136,0.000000,"\text{Not used}","int(x/(a + b*x^n + c*x^(2*n)),x)","\int \frac{x}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x/(a + b*x^n + c*x^(2*n)), x)","F"
564,0,-1,124,0.000000,"\text{Not used}","int(1/(a + b*x^n + c*x^(2*n)),x)","\int \frac{1}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(1/(a + b*x^n + c*x^(2*n)), x)","F"
565,1,224,74,1.608148,"\text{Not used}","int(1/(x*(a + b*x^n + c*x^(2*n))),x)","\frac{\ln\left(-\frac{1}{c\,x}-\frac{\left(2\,a\,n+b\,n\,x^n\right)\,\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2\right)}{2\,c\,x\,\left(a\,b^2\,n-4\,a^2\,c\,n\right)}\right)\,\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2\right)}{2\,\left(a\,b^2\,n-4\,a^2\,c\,n\right)}-\frac{\ln\left(\frac{\left(2\,a\,n+b\,n\,x^n\right)\,\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2\right)}{2\,c\,x\,\left(a\,b^2\,n-4\,a^2\,c\,n\right)}-\frac{1}{c\,x}\right)\,\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2\right)}{2\,\left(a\,b^2\,n-4\,a^2\,c\,n\right)}+\frac{\ln\left(x\right)\,\left(n-1\right)}{a\,n}","Not used",1,"(log(- 1/(c*x) - ((2*a*n + b*n*x^n)*(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2))/(2*c*x*(a*b^2*n - 4*a^2*c*n)))*(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2))/(2*(a*b^2*n - 4*a^2*c*n)) - (log(((2*a*n + b*n*x^n)*(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2))/(2*c*x*(a*b^2*n - 4*a^2*c*n)) - 1/(c*x))*(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2))/(2*(a*b^2*n - 4*a^2*c*n)) + (log(x)*(n - 1))/(a*n)","B"
566,0,-1,142,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^2\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n + c*x^(2*n))), x)","F"
567,0,-1,140,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n + c*x^(2*n))),x)","\int \frac{1}{x^3\,\left(a+b\,x^n+c\,x^{2\,n}\right)} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n + c*x^(2*n))), x)","F"
568,0,-1,148,0.000000,"\text{Not used}","int(x^3*(a + b*x^n + c*x^(2*n))^(1/2),x)","\int x^3\,\sqrt{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^3*(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
569,0,-1,148,0.000000,"\text{Not used}","int(x^2*(a + b*x^n + c*x^(2*n))^(1/2),x)","\int x^2\,\sqrt{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x^2*(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
570,0,-1,148,0.000000,"\text{Not used}","int(x*(a + b*x^n + c*x^(2*n))^(1/2),x)","\int x\,\sqrt{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int(x*(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
571,0,-1,139,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(1/2),x)","\int \sqrt{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(1/2), x)","F"
572,0,-1,119,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,x^n+c\,x^{2\,n}}}{x} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(1/2)/x, x)","F"
573,0,-1,149,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(1/2)/x^2,x)","\int \frac{\sqrt{a+b\,x^n+c\,x^{2\,n}}}{x^2} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(1/2)/x^2, x)","F"
574,0,-1,151,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,x^n+c\,x^{2\,n}}}{x^3} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(1/2)/x^3, x)","F"
575,0,-1,149,0.000000,"\text{Not used}","int(x^3*(a + b*x^n + c*x^(2*n))^(3/2),x)","\int x^3\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2} \,d x","Not used",1,"int(x^3*(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
576,0,-1,149,0.000000,"\text{Not used}","int(x^2*(a + b*x^n + c*x^(2*n))^(3/2),x)","\int x^2\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
577,0,-1,149,0.000000,"\text{Not used}","int(x*(a + b*x^n + c*x^(2*n))^(3/2),x)","\int x\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
578,0,-1,140,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(3/2),x)","\int {\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(3/2), x)","F"
579,0,-1,173,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(3/2)/x,x)","\int \frac{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}}{x} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(3/2)/x, x)","F"
580,0,-1,150,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(3/2)/x^2,x)","\int \frac{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(3/2)/x^2, x)","F"
581,0,-1,152,0.000000,"\text{Not used}","int((a + b*x^n + c*x^(2*n))^(3/2)/x^3,x)","\int \frac{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + b*x^n + c*x^(2*n))^(3/2)/x^3, x)","F"
582,0,-1,148,0.000000,"\text{Not used}","int(x^3/(a + b*x^n + c*x^(2*n))^(1/2),x)","\int \frac{x^3}{\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(x^3/(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
583,0,-1,148,0.000000,"\text{Not used}","int(x^2/(a + b*x^n + c*x^(2*n))^(1/2),x)","\int \frac{x^2}{\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(x^2/(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
584,0,-1,148,0.000000,"\text{Not used}","int(x/(a + b*x^n + c*x^(2*n))^(1/2),x)","\int \frac{x}{\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(x/(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
585,0,-1,139,0.000000,"\text{Not used}","int(1/(a + b*x^n + c*x^(2*n))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(1/(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
586,0,-1,47,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n + c*x^(2*n))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(1/(x*(a + b*x^n + c*x^(2*n))^(1/2)), x)","F"
587,0,-1,149,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n + c*x^(2*n))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n + c*x^(2*n))^(1/2)), x)","F"
588,0,-1,151,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n + c*x^(2*n))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n + c*x^(2*n))^(1/2)), x)","F"
589,0,-1,151,0.000000,"\text{Not used}","int(x^3/(a + b*x^n + c*x^(2*n))^(3/2),x)","\int \frac{x^3}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
590,0,-1,151,0.000000,"\text{Not used}","int(x^2/(a + b*x^n + c*x^(2*n))^(3/2),x)","\int \frac{x^2}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
591,0,-1,151,0.000000,"\text{Not used}","int(x/(a + b*x^n + c*x^(2*n))^(3/2),x)","\int \frac{x}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(x/(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
592,0,-1,142,0.000000,"\text{Not used}","int(1/(a + b*x^n + c*x^(2*n))^(3/2),x)","\int \frac{1}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
593,0,-1,98,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n + c*x^(2*n))^(3/2)),x)","\int \frac{1}{x\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a + b*x^n + c*x^(2*n))^(3/2)), x)","F"
594,0,-1,152,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n + c*x^(2*n))^(3/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n + c*x^(2*n))^(3/2)), x)","F"
595,0,-1,154,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n + c*x^(2*n))^(3/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n + c*x^(2*n))^(3/2)), x)","F"
596,1,1734,182,2.155727,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n))^3,x)","\frac{a^3\,x\,{\left(d\,x\right)}^m}{m+1}+\frac{c^3\,x\,x^{6\,n}\,{\left(d\,x\right)}^m\,\left(m^5+15\,m^4\,n+5\,m^4+85\,m^3\,n^2+60\,m^3\,n+10\,m^3+225\,m^2\,n^3+255\,m^2\,n^2+90\,m^2\,n+10\,m^2+274\,m\,n^4+450\,m\,n^3+255\,m\,n^2+60\,m\,n+5\,m+120\,n^5+274\,n^4+225\,n^3+85\,n^2+15\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}+\frac{3\,a\,x\,x^{2\,n}\,{\left(d\,x\right)}^m\,\left(b^2+a\,c\right)\,\left(m^5+19\,m^4\,n+5\,m^4+137\,m^3\,n^2+76\,m^3\,n+10\,m^3+461\,m^2\,n^3+411\,m^2\,n^2+114\,m^2\,n+10\,m^2+702\,m\,n^4+922\,m\,n^3+411\,m\,n^2+76\,m\,n+5\,m+360\,n^5+702\,n^4+461\,n^3+137\,n^2+19\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}+\frac{b\,x\,x^{3\,n}\,{\left(d\,x\right)}^m\,\left(b^2+6\,a\,c\right)\,\left(m^5+18\,m^4\,n+5\,m^4+121\,m^3\,n^2+72\,m^3\,n+10\,m^3+372\,m^2\,n^3+363\,m^2\,n^2+108\,m^2\,n+10\,m^2+508\,m\,n^4+744\,m\,n^3+363\,m\,n^2+72\,m\,n+5\,m+240\,n^5+508\,n^4+372\,n^3+121\,n^2+18\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}+\frac{3\,c\,x\,x^{4\,n}\,{\left(d\,x\right)}^m\,\left(b^2+a\,c\right)\,\left(m^5+17\,m^4\,n+5\,m^4+107\,m^3\,n^2+68\,m^3\,n+10\,m^3+307\,m^2\,n^3+321\,m^2\,n^2+102\,m^2\,n+10\,m^2+396\,m\,n^4+614\,m\,n^3+321\,m\,n^2+68\,m\,n+5\,m+180\,n^5+396\,n^4+307\,n^3+107\,n^2+17\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}+\frac{3\,a^2\,b\,x\,x^n\,{\left(d\,x\right)}^m\,\left(m^5+20\,m^4\,n+5\,m^4+155\,m^3\,n^2+80\,m^3\,n+10\,m^3+580\,m^2\,n^3+465\,m^2\,n^2+120\,m^2\,n+10\,m^2+1044\,m\,n^4+1160\,m\,n^3+465\,m\,n^2+80\,m\,n+5\,m+720\,n^5+1044\,n^4+580\,n^3+155\,n^2+20\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}+\frac{3\,b\,c^2\,x\,x^{5\,n}\,{\left(d\,x\right)}^m\,\left(m^5+16\,m^4\,n+5\,m^4+95\,m^3\,n^2+64\,m^3\,n+10\,m^3+260\,m^2\,n^3+285\,m^2\,n^2+96\,m^2\,n+10\,m^2+324\,m\,n^4+520\,m\,n^3+285\,m\,n^2+64\,m\,n+5\,m+144\,n^5+324\,n^4+260\,n^3+95\,n^2+16\,n+1\right)}{m^6+21\,m^5\,n+6\,m^5+175\,m^4\,n^2+105\,m^4\,n+15\,m^4+735\,m^3\,n^3+700\,m^3\,n^2+210\,m^3\,n+20\,m^3+1624\,m^2\,n^4+2205\,m^2\,n^3+1050\,m^2\,n^2+210\,m^2\,n+15\,m^2+1764\,m\,n^5+3248\,m\,n^4+2205\,m\,n^3+700\,m\,n^2+105\,m\,n+6\,m+720\,n^6+1764\,n^5+1624\,n^4+735\,n^3+175\,n^2+21\,n+1}","Not used",1,"(a^3*x*(d*x)^m)/(m + 1) + (c^3*x*x^(6*n)*(d*x)^m*(5*m + 15*n + 60*m*n + 255*m*n^2 + 90*m^2*n + 450*m*n^3 + 60*m^3*n + 274*m*n^4 + 15*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 85*n^2 + 225*n^3 + 274*n^4 + 120*n^5 + 255*m^2*n^2 + 225*m^2*n^3 + 85*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1) + (3*a*x*x^(2*n)*(d*x)^m*(a*c + b^2)*(5*m + 19*n + 76*m*n + 411*m*n^2 + 114*m^2*n + 922*m*n^3 + 76*m^3*n + 702*m*n^4 + 19*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 137*n^2 + 461*n^3 + 702*n^4 + 360*n^5 + 411*m^2*n^2 + 461*m^2*n^3 + 137*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1) + (b*x*x^(3*n)*(d*x)^m*(6*a*c + b^2)*(5*m + 18*n + 72*m*n + 363*m*n^2 + 108*m^2*n + 744*m*n^3 + 72*m^3*n + 508*m*n^4 + 18*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 121*n^2 + 372*n^3 + 508*n^4 + 240*n^5 + 363*m^2*n^2 + 372*m^2*n^3 + 121*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1) + (3*c*x*x^(4*n)*(d*x)^m*(a*c + b^2)*(5*m + 17*n + 68*m*n + 321*m*n^2 + 102*m^2*n + 614*m*n^3 + 68*m^3*n + 396*m*n^4 + 17*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 107*n^2 + 307*n^3 + 396*n^4 + 180*n^5 + 321*m^2*n^2 + 307*m^2*n^3 + 107*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1) + (3*a^2*b*x*x^n*(d*x)^m*(5*m + 20*n + 80*m*n + 465*m*n^2 + 120*m^2*n + 1160*m*n^3 + 80*m^3*n + 1044*m*n^4 + 20*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 155*n^2 + 580*n^3 + 1044*n^4 + 720*n^5 + 465*m^2*n^2 + 580*m^2*n^3 + 155*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1) + (3*b*c^2*x*x^(5*n)*(d*x)^m*(5*m + 16*n + 64*m*n + 285*m*n^2 + 96*m^2*n + 520*m*n^3 + 64*m^3*n + 324*m*n^4 + 16*m^4*n + 10*m^2 + 10*m^3 + 5*m^4 + m^5 + 95*n^2 + 260*n^3 + 324*n^4 + 144*n^5 + 285*m^2*n^2 + 260*m^2*n^3 + 95*m^3*n^2 + 1))/(6*m + 21*n + 105*m*n + 700*m*n^2 + 210*m^2*n + 2205*m*n^3 + 210*m^3*n + 3248*m*n^4 + 105*m^4*n + 1764*m*n^5 + 21*m^5*n + 15*m^2 + 20*m^3 + 15*m^4 + 6*m^5 + m^6 + 175*n^2 + 735*n^3 + 1624*n^4 + 1764*n^5 + 720*n^6 + 1050*m^2*n^2 + 2205*m^2*n^3 + 700*m^3*n^2 + 1624*m^2*n^4 + 735*m^3*n^3 + 175*m^4*n^2 + 1)","B"
597,1,543,117,1.616968,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n))^2,x)","\frac{a^2\,x\,{\left(d\,x\right)}^m}{m+1}+\frac{x\,x^{2\,n}\,{\left(d\,x\right)}^m\,\left(b^2+2\,a\,c\right)\,\left(m^3+8\,m^2\,n+3\,m^2+19\,m\,n^2+16\,m\,n+3\,m+12\,n^3+19\,n^2+8\,n+1\right)}{m^4+10\,m^3\,n+4\,m^3+35\,m^2\,n^2+30\,m^2\,n+6\,m^2+50\,m\,n^3+70\,m\,n^2+30\,m\,n+4\,m+24\,n^4+50\,n^3+35\,n^2+10\,n+1}+\frac{c^2\,x\,x^{4\,n}\,{\left(d\,x\right)}^m\,\left(m^3+6\,m^2\,n+3\,m^2+11\,m\,n^2+12\,m\,n+3\,m+6\,n^3+11\,n^2+6\,n+1\right)}{m^4+10\,m^3\,n+4\,m^3+35\,m^2\,n^2+30\,m^2\,n+6\,m^2+50\,m\,n^3+70\,m\,n^2+30\,m\,n+4\,m+24\,n^4+50\,n^3+35\,n^2+10\,n+1}+\frac{2\,a\,b\,x\,x^n\,{\left(d\,x\right)}^m\,\left(m^3+9\,m^2\,n+3\,m^2+26\,m\,n^2+18\,m\,n+3\,m+24\,n^3+26\,n^2+9\,n+1\right)}{m^4+10\,m^3\,n+4\,m^3+35\,m^2\,n^2+30\,m^2\,n+6\,m^2+50\,m\,n^3+70\,m\,n^2+30\,m\,n+4\,m+24\,n^4+50\,n^3+35\,n^2+10\,n+1}+\frac{2\,b\,c\,x\,x^{3\,n}\,{\left(d\,x\right)}^m\,\left(m^3+7\,m^2\,n+3\,m^2+14\,m\,n^2+14\,m\,n+3\,m+8\,n^3+14\,n^2+7\,n+1\right)}{m^4+10\,m^3\,n+4\,m^3+35\,m^2\,n^2+30\,m^2\,n+6\,m^2+50\,m\,n^3+70\,m\,n^2+30\,m\,n+4\,m+24\,n^4+50\,n^3+35\,n^2+10\,n+1}","Not used",1,"(a^2*x*(d*x)^m)/(m + 1) + (x*x^(2*n)*(d*x)^m*(2*a*c + b^2)*(3*m + 8*n + 16*m*n + 19*m*n^2 + 8*m^2*n + 3*m^2 + m^3 + 19*n^2 + 12*n^3 + 1))/(4*m + 10*n + 30*m*n + 70*m*n^2 + 30*m^2*n + 50*m*n^3 + 10*m^3*n + 6*m^2 + 4*m^3 + m^4 + 35*n^2 + 50*n^3 + 24*n^4 + 35*m^2*n^2 + 1) + (c^2*x*x^(4*n)*(d*x)^m*(3*m + 6*n + 12*m*n + 11*m*n^2 + 6*m^2*n + 3*m^2 + m^3 + 11*n^2 + 6*n^3 + 1))/(4*m + 10*n + 30*m*n + 70*m*n^2 + 30*m^2*n + 50*m*n^3 + 10*m^3*n + 6*m^2 + 4*m^3 + m^4 + 35*n^2 + 50*n^3 + 24*n^4 + 35*m^2*n^2 + 1) + (2*a*b*x*x^n*(d*x)^m*(3*m + 9*n + 18*m*n + 26*m*n^2 + 9*m^2*n + 3*m^2 + m^3 + 26*n^2 + 24*n^3 + 1))/(4*m + 10*n + 30*m*n + 70*m*n^2 + 30*m^2*n + 50*m*n^3 + 10*m^3*n + 6*m^2 + 4*m^3 + m^4 + 35*n^2 + 50*n^3 + 24*n^4 + 35*m^2*n^2 + 1) + (2*b*c*x*x^(3*n)*(d*x)^m*(3*m + 7*n + 14*m*n + 14*m*n^2 + 7*m^2*n + 3*m^2 + m^3 + 14*n^2 + 8*n^3 + 1))/(4*m + 10*n + 30*m*n + 70*m*n^2 + 30*m^2*n + 50*m*n^3 + 10*m^3*n + 6*m^2 + 4*m^3 + m^4 + 35*n^2 + 50*n^3 + 24*n^4 + 35*m^2*n^2 + 1)","B"
598,1,83,58,1.405659,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n)),x)","{\left(d\,x\right)}^m\,\left(\frac{a\,x}{m+1}+\frac{b\,x\,x^n\,\left(m+2\,n+1\right)}{m^2+3\,m\,n+2\,m+2\,n^2+3\,n+1}+\frac{c\,x\,x^{2\,n}\,\left(m+n+1\right)}{m^2+3\,m\,n+2\,m+2\,n^2+3\,n+1}\right)","Not used",1,"(d*x)^m*((a*x)/(m + 1) + (b*x*x^n*(m + 2*n + 1))/(2*m + 3*n + 3*m*n + m^2 + 2*n^2 + 1) + (c*x*x^(2*n)*(m + n + 1))/(2*m + 3*n + 3*m*n + m^2 + 2*n^2 + 1))","B"
599,0,-1,175,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^n + c*x^(2*n)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int((d*x)^m/(a + b*x^n + c*x^(2*n)), x)","F"
600,0,-1,328,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^n + c*x^(2*n))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^2} \,d x","Not used",1,"int((d*x)^m/(a + b*x^n + c*x^(2*n))^2, x)","F"
601,0,-1,615,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^n + c*x^(2*n))^3,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^3} \,d x","Not used",1,"int((d*x)^m/(a + b*x^n + c*x^(2*n))^3, x)","F"
602,0,-1,161,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n))^(3/2),x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2} \,d x","Not used",1,"int((d*x)^m*(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
603,0,-1,160,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,x^n+c\,x^{2\,n}} \,d x","Not used",1,"int((d*x)^m*(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
604,0,-1,160,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^n + c*x^(2*n))^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a+b\,x^n+c\,x^{2\,n}}} \,d x","Not used",1,"int((d*x)^m/(a + b*x^n + c*x^(2*n))^(1/2), x)","F"
605,0,-1,163,0.000000,"\text{Not used}","int((d*x)^m/(a + b*x^n + c*x^(2*n))^(3/2),x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,x^n+c\,x^{2\,n}\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m/(a + b*x^n + c*x^(2*n))^(3/2), x)","F"
606,0,-1,158,0.000000,"\text{Not used}","int((d*x)^m*(a + b*x^n + c*x^(2*n))^p,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,x^n+c\,x^{2\,n}\right)}^p \,d x","Not used",1,"int((d*x)^m*(a + b*x^n + c*x^(2*n))^p, x)","F"
607,1,141,46,0.075791,"\text{Not used}","int((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","x\,\left(c\,d^7+b\,d^5+a\,d^3\right)+\frac{e^5\,x^6\,\left(21\,c\,d^2+b\right)}{6}+\frac{c\,e^7\,x^8}{8}+\frac{e^3\,x^4\,\left(35\,c\,d^4+10\,b\,d^2+a\right)}{4}+\frac{d^2\,e\,x^2\,\left(7\,c\,d^4+5\,b\,d^2+3\,a\right)}{2}+\frac{d\,e^2\,x^3\,\left(21\,c\,d^4+10\,b\,d^2+3\,a\right)}{3}+d\,e^4\,x^5\,\left(7\,c\,d^2+b\right)+c\,d\,e^6\,x^7","Not used",1,"x*(a*d^3 + b*d^5 + c*d^7) + (e^5*x^6*(b + 21*c*d^2))/6 + (c*e^7*x^8)/8 + (e^3*x^4*(a + 10*b*d^2 + 35*c*d^4))/4 + (d^2*e*x^2*(3*a + 5*b*d^2 + 7*c*d^4))/2 + (d*e^2*x^3*(3*a + 10*b*d^2 + 21*c*d^4))/3 + d*e^4*x^5*(b + 7*c*d^2) + c*d*e^6*x^7","B"
608,1,383,89,1.478984,"\text{Not used}","int((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{e^7\,x^8\,\left(b^2+72\,b\,c\,d^2+330\,c^2\,d^4+2\,a\,c\right)}{8}+\frac{e^5\,x^6\,\left(21\,b^2\,d^2+252\,b\,c\,d^4+2\,a\,b+462\,c^2\,d^6+42\,a\,c\,d^2\right)}{6}+\frac{e^3\,x^4\,\left(a^2+20\,a\,b\,d^2+70\,a\,c\,d^4+35\,b^2\,d^4+168\,b\,c\,d^6+165\,c^2\,d^8\right)}{4}+\frac{c^2\,e^{11}\,x^{12}}{12}+d^3\,x\,{\left(c\,d^4+b\,d^2+a\right)}^2+\frac{c\,e^9\,x^{10}\,\left(55\,c\,d^2+2\,b\right)}{10}+c^2\,d\,e^{10}\,x^{11}+\frac{d^2\,e\,x^2\,\left(3\,a^2+10\,a\,b\,d^2+14\,a\,c\,d^4+7\,b^2\,d^4+18\,b\,c\,d^6+11\,c^2\,d^8\right)}{2}+\frac{d\,e^2\,x^3\,\left(3\,a^2+20\,a\,b\,d^2+42\,a\,c\,d^4+21\,b^2\,d^4+72\,b\,c\,d^6+55\,c^2\,d^8\right)}{3}+d\,e^6\,x^7\,\left(b^2+24\,b\,c\,d^2+66\,c^2\,d^4+2\,a\,c\right)+\frac{d\,e^4\,x^5\,\left(35\,b^2\,d^2+252\,b\,c\,d^4+10\,a\,b+330\,c^2\,d^6+70\,a\,c\,d^2\right)}{5}+\frac{c\,d\,e^8\,x^9\,\left(55\,c\,d^2+6\,b\right)}{3}","Not used",1,"(e^7*x^8*(2*a*c + b^2 + 330*c^2*d^4 + 72*b*c*d^2))/8 + (e^5*x^6*(2*a*b + 21*b^2*d^2 + 462*c^2*d^6 + 42*a*c*d^2 + 252*b*c*d^4))/6 + (e^3*x^4*(a^2 + 35*b^2*d^4 + 165*c^2*d^8 + 20*a*b*d^2 + 70*a*c*d^4 + 168*b*c*d^6))/4 + (c^2*e^11*x^12)/12 + d^3*x*(a + b*d^2 + c*d^4)^2 + (c*e^9*x^10*(2*b + 55*c*d^2))/10 + c^2*d*e^10*x^11 + (d^2*e*x^2*(3*a^2 + 7*b^2*d^4 + 11*c^2*d^8 + 10*a*b*d^2 + 14*a*c*d^4 + 18*b*c*d^6))/2 + (d*e^2*x^3*(3*a^2 + 21*b^2*d^4 + 55*c^2*d^8 + 20*a*b*d^2 + 42*a*c*d^4 + 72*b*c*d^6))/3 + d*e^6*x^7*(2*a*c + b^2 + 66*c^2*d^4 + 24*b*c*d^2) + (d*e^4*x^5*(10*a*b + 35*b^2*d^2 + 330*c^2*d^6 + 70*a*c*d^2 + 252*b*c*d^4))/5 + (c*d*e^8*x^9*(6*b + 55*c*d^2))/3","B"
609,1,777,138,1.656620,"\text{Not used}","int((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{3\,e^7\,x^8\,\left(a^2\,c+a\,b^2+72\,a\,b\,c\,d^2+330\,a\,c^2\,d^4+12\,b^3\,d^2+330\,b^2\,c\,d^4+1716\,b\,c^2\,d^6+2145\,c^3\,d^8\right)}{8}+\frac{e^5\,x^6\,\left(a^2\,b+21\,a^2\,c\,d^2+21\,a\,b^2\,d^2+252\,a\,b\,c\,d^4+462\,a\,c^2\,d^6+42\,b^3\,d^4+462\,b^2\,c\,d^6+1287\,b\,c^2\,d^8+1001\,c^3\,d^{10}\right)}{2}+\frac{e^9\,x^{10}\,\left(b^3+165\,b^2\,c\,d^2+2145\,b\,c^2\,d^4+6\,a\,b\,c+5005\,c^3\,d^6+165\,a\,c^2\,d^2\right)}{10}+\frac{c^3\,e^{15}\,x^{16}}{16}+d^3\,x\,{\left(c\,d^4+b\,d^2+a\right)}^3+\frac{e^3\,x^4\,\left(a^3+30\,a^2\,b\,d^2+105\,a^2\,c\,d^4+105\,a\,b^2\,d^4+504\,a\,b\,c\,d^6+495\,a\,c^2\,d^8+84\,b^3\,d^6+495\,b^2\,c\,d^8+858\,b\,c^2\,d^{10}+455\,c^3\,d^{12}\right)}{4}+\frac{3\,c^2\,e^{13}\,x^{14}\,\left(35\,c\,d^2+b\right)}{14}+c^3\,d\,e^{14}\,x^{15}+d\,e^2\,x^3\,\left(a^3+10\,a^2\,b\,d^2+21\,a^2\,c\,d^4+21\,a\,b^2\,d^4+72\,a\,b\,c\,d^6+55\,a\,c^2\,d^8+12\,b^3\,d^6+55\,b^2\,c\,d^8+78\,b\,c^2\,d^{10}+35\,c^3\,d^{12}\right)+\frac{c\,e^{11}\,x^{12}\,\left(b^2+78\,b\,c\,d^2+455\,c^2\,d^4+a\,c\right)}{4}+\frac{d\,e^6\,x^7\,\left(21\,a^2\,c+21\,a\,b^2+504\,a\,b\,c\,d^2+1386\,a\,c^2\,d^4+84\,b^3\,d^2+1386\,b^2\,c\,d^4+5148\,b\,c^2\,d^6+5005\,c^3\,d^8\right)}{7}+\frac{3\,d\,e^4\,x^5\,\left(5\,a^2\,b+35\,a^2\,c\,d^2+35\,a\,b^2\,d^2+252\,a\,b\,c\,d^4+330\,a\,c^2\,d^6+42\,b^3\,d^4+330\,b^2\,c\,d^6+715\,b\,c^2\,d^8+455\,c^3\,d^{10}\right)}{5}+d\,e^8\,x^9\,\left(b^3+55\,b^2\,c\,d^2+429\,b\,c^2\,d^4+6\,a\,b\,c+715\,c^3\,d^6+55\,a\,c^2\,d^2\right)+\frac{3\,d^2\,e\,x^2\,{\left(c\,d^4+b\,d^2+a\right)}^2\,\left(5\,c\,d^4+3\,b\,d^2+a\right)}{2}+c^2\,d\,e^{12}\,x^{13}\,\left(35\,c\,d^2+3\,b\right)+3\,c\,d\,e^{10}\,x^{11}\,\left(b^2+26\,b\,c\,d^2+91\,c^2\,d^4+a\,c\right)","Not used",1,"(3*e^7*x^8*(a*b^2 + a^2*c + 12*b^3*d^2 + 2145*c^3*d^8 + 330*a*c^2*d^4 + 330*b^2*c*d^4 + 1716*b*c^2*d^6 + 72*a*b*c*d^2))/8 + (e^5*x^6*(a^2*b + 42*b^3*d^4 + 1001*c^3*d^10 + 21*a*b^2*d^2 + 21*a^2*c*d^2 + 462*a*c^2*d^6 + 462*b^2*c*d^6 + 1287*b*c^2*d^8 + 252*a*b*c*d^4))/2 + (e^9*x^10*(b^3 + 5005*c^3*d^6 + 165*a*c^2*d^2 + 165*b^2*c*d^2 + 2145*b*c^2*d^4 + 6*a*b*c))/10 + (c^3*e^15*x^16)/16 + d^3*x*(a + b*d^2 + c*d^4)^3 + (e^3*x^4*(a^3 + 84*b^3*d^6 + 455*c^3*d^12 + 30*a^2*b*d^2 + 105*a*b^2*d^4 + 105*a^2*c*d^4 + 495*a*c^2*d^8 + 495*b^2*c*d^8 + 858*b*c^2*d^10 + 504*a*b*c*d^6))/4 + (3*c^2*e^13*x^14*(b + 35*c*d^2))/14 + c^3*d*e^14*x^15 + d*e^2*x^3*(a^3 + 12*b^3*d^6 + 35*c^3*d^12 + 10*a^2*b*d^2 + 21*a*b^2*d^4 + 21*a^2*c*d^4 + 55*a*c^2*d^8 + 55*b^2*c*d^8 + 78*b*c^2*d^10 + 72*a*b*c*d^6) + (c*e^11*x^12*(a*c + b^2 + 455*c^2*d^4 + 78*b*c*d^2))/4 + (d*e^6*x^7*(21*a*b^2 + 21*a^2*c + 84*b^3*d^2 + 5005*c^3*d^8 + 1386*a*c^2*d^4 + 1386*b^2*c*d^4 + 5148*b*c^2*d^6 + 504*a*b*c*d^2))/7 + (3*d*e^4*x^5*(5*a^2*b + 42*b^3*d^4 + 455*c^3*d^10 + 35*a*b^2*d^2 + 35*a^2*c*d^2 + 330*a*c^2*d^6 + 330*b^2*c*d^6 + 715*b*c^2*d^8 + 252*a*b*c*d^4))/5 + d*e^8*x^9*(b^3 + 715*c^3*d^6 + 55*a*c^2*d^2 + 55*b^2*c*d^2 + 429*b*c^2*d^4 + 6*a*b*c) + (3*d^2*e*x^2*(a + b*d^2 + c*d^4)^2*(a + 3*b*d^2 + 5*c*d^4))/2 + c^2*d*e^12*x^13*(3*b + 35*c*d^2) + 3*c*d*e^10*x^11*(a*c + b^2 + 91*c^2*d^4 + 26*b*c*d^2)","B"
610,1,164,55,0.077456,"\text{Not used}","int((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{e^5\,f^3\,x^6\,\left(21\,c\,d^2+b\right)}{6}+\frac{c\,e^7\,f^3\,x^8}{8}+d^3\,f^3\,x\,\left(c\,d^4+b\,d^2+a\right)+\frac{e^3\,f^3\,x^4\,\left(35\,c\,d^4+10\,b\,d^2+a\right)}{4}+\frac{d^2\,e\,f^3\,x^2\,\left(7\,c\,d^4+5\,b\,d^2+3\,a\right)}{2}+\frac{d\,e^2\,f^3\,x^3\,\left(21\,c\,d^4+10\,b\,d^2+3\,a\right)}{3}+d\,e^4\,f^3\,x^5\,\left(7\,c\,d^2+b\right)+c\,d\,e^6\,f^3\,x^7","Not used",1,"(e^5*f^3*x^6*(b + 21*c*d^2))/6 + (c*e^7*f^3*x^8)/8 + d^3*f^3*x*(a + b*d^2 + c*d^4) + (e^3*f^3*x^4*(a + 10*b*d^2 + 35*c*d^4))/4 + (d^2*e*f^3*x^2*(3*a + 5*b*d^2 + 7*c*d^4))/2 + (d*e^2*f^3*x^3*(3*a + 10*b*d^2 + 21*c*d^4))/3 + d*e^4*f^3*x^5*(b + 7*c*d^2) + c*d*e^6*f^3*x^7","B"
611,1,419,104,1.472435,"\text{Not used}","int((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{e^3\,f^3\,x^4\,\left(a^2+20\,a\,b\,d^2+70\,a\,c\,d^4+35\,b^2\,d^4+168\,b\,c\,d^6+165\,c^2\,d^8\right)}{4}+\frac{c^2\,e^{11}\,f^3\,x^{12}}{12}+d^3\,f^3\,x\,{\left(c\,d^4+b\,d^2+a\right)}^2+\frac{e^7\,f^3\,x^8\,\left(b^2+72\,b\,c\,d^2+330\,c^2\,d^4+2\,a\,c\right)}{8}+\frac{e^5\,f^3\,x^6\,\left(21\,b^2\,d^2+252\,b\,c\,d^4+2\,a\,b+462\,c^2\,d^6+42\,a\,c\,d^2\right)}{6}+\frac{d^2\,e\,f^3\,x^2\,\left(3\,a^2+10\,a\,b\,d^2+14\,a\,c\,d^4+7\,b^2\,d^4+18\,b\,c\,d^6+11\,c^2\,d^8\right)}{2}+\frac{d\,e^2\,f^3\,x^3\,\left(3\,a^2+20\,a\,b\,d^2+42\,a\,c\,d^4+21\,b^2\,d^4+72\,b\,c\,d^6+55\,c^2\,d^8\right)}{3}+d\,e^6\,f^3\,x^7\,\left(b^2+24\,b\,c\,d^2+66\,c^2\,d^4+2\,a\,c\right)+\frac{d\,e^4\,f^3\,x^5\,\left(35\,b^2\,d^2+252\,b\,c\,d^4+10\,a\,b+330\,c^2\,d^6+70\,a\,c\,d^2\right)}{5}+\frac{c\,e^9\,f^3\,x^{10}\,\left(55\,c\,d^2+2\,b\right)}{10}+c^2\,d\,e^{10}\,f^3\,x^{11}+\frac{c\,d\,e^8\,f^3\,x^9\,\left(55\,c\,d^2+6\,b\right)}{3}","Not used",1,"(e^3*f^3*x^4*(a^2 + 35*b^2*d^4 + 165*c^2*d^8 + 20*a*b*d^2 + 70*a*c*d^4 + 168*b*c*d^6))/4 + (c^2*e^11*f^3*x^12)/12 + d^3*f^3*x*(a + b*d^2 + c*d^4)^2 + (e^7*f^3*x^8*(2*a*c + b^2 + 330*c^2*d^4 + 72*b*c*d^2))/8 + (e^5*f^3*x^6*(2*a*b + 21*b^2*d^2 + 462*c^2*d^6 + 42*a*c*d^2 + 252*b*c*d^4))/6 + (d^2*e*f^3*x^2*(3*a^2 + 7*b^2*d^4 + 11*c^2*d^8 + 10*a*b*d^2 + 14*a*c*d^4 + 18*b*c*d^6))/2 + (d*e^2*f^3*x^3*(3*a^2 + 21*b^2*d^4 + 55*c^2*d^8 + 20*a*b*d^2 + 42*a*c*d^4 + 72*b*c*d^6))/3 + d*e^6*f^3*x^7*(2*a*c + b^2 + 66*c^2*d^4 + 24*b*c*d^2) + (d*e^4*f^3*x^5*(10*a*b + 35*b^2*d^2 + 330*c^2*d^6 + 70*a*c*d^2 + 252*b*c*d^4))/5 + (c*e^9*f^3*x^10*(2*b + 55*c*d^2))/10 + c^2*d*e^10*f^3*x^11 + (c*d*e^8*f^3*x^9*(6*b + 55*c*d^2))/3","B"
612,1,825,159,1.650273,"\text{Not used}","int((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{3\,e^7\,f^3\,x^8\,\left(a^2\,c+a\,b^2+72\,a\,b\,c\,d^2+330\,a\,c^2\,d^4+12\,b^3\,d^2+330\,b^2\,c\,d^4+1716\,b\,c^2\,d^6+2145\,c^3\,d^8\right)}{8}+\frac{e^5\,f^3\,x^6\,\left(a^2\,b+21\,a^2\,c\,d^2+21\,a\,b^2\,d^2+252\,a\,b\,c\,d^4+462\,a\,c^2\,d^6+42\,b^3\,d^4+462\,b^2\,c\,d^6+1287\,b\,c^2\,d^8+1001\,c^3\,d^{10}\right)}{2}+\frac{e^9\,f^3\,x^{10}\,\left(b^3+165\,b^2\,c\,d^2+2145\,b\,c^2\,d^4+6\,a\,b\,c+5005\,c^3\,d^6+165\,a\,c^2\,d^2\right)}{10}+\frac{c^3\,e^{15}\,f^3\,x^{16}}{16}+d^3\,f^3\,x\,{\left(c\,d^4+b\,d^2+a\right)}^3+\frac{e^3\,f^3\,x^4\,\left(a^3+30\,a^2\,b\,d^2+105\,a^2\,c\,d^4+105\,a\,b^2\,d^4+504\,a\,b\,c\,d^6+495\,a\,c^2\,d^8+84\,b^3\,d^6+495\,b^2\,c\,d^8+858\,b\,c^2\,d^{10}+455\,c^3\,d^{12}\right)}{4}+\frac{c\,e^{11}\,f^3\,x^{12}\,\left(b^2+78\,b\,c\,d^2+455\,c^2\,d^4+a\,c\right)}{4}+\frac{d\,e^6\,f^3\,x^7\,\left(21\,a^2\,c+21\,a\,b^2+504\,a\,b\,c\,d^2+1386\,a\,c^2\,d^4+84\,b^3\,d^2+1386\,b^2\,c\,d^4+5148\,b\,c^2\,d^6+5005\,c^3\,d^8\right)}{7}+\frac{3\,d\,e^4\,f^3\,x^5\,\left(5\,a^2\,b+35\,a^2\,c\,d^2+35\,a\,b^2\,d^2+252\,a\,b\,c\,d^4+330\,a\,c^2\,d^6+42\,b^3\,d^4+330\,b^2\,c\,d^6+715\,b\,c^2\,d^8+455\,c^3\,d^{10}\right)}{5}+d\,e^8\,f^3\,x^9\,\left(b^3+55\,b^2\,c\,d^2+429\,b\,c^2\,d^4+6\,a\,b\,c+715\,c^3\,d^6+55\,a\,c^2\,d^2\right)+\frac{3\,c^2\,e^{13}\,f^3\,x^{14}\,\left(35\,c\,d^2+b\right)}{14}+c^3\,d\,e^{14}\,f^3\,x^{15}+d\,e^2\,f^3\,x^3\,\left(a^3+10\,a^2\,b\,d^2+21\,a^2\,c\,d^4+21\,a\,b^2\,d^4+72\,a\,b\,c\,d^6+55\,a\,c^2\,d^8+12\,b^3\,d^6+55\,b^2\,c\,d^8+78\,b\,c^2\,d^{10}+35\,c^3\,d^{12}\right)+\frac{3\,d^2\,e\,f^3\,x^2\,{\left(c\,d^4+b\,d^2+a\right)}^2\,\left(5\,c\,d^4+3\,b\,d^2+a\right)}{2}+c^2\,d\,e^{12}\,f^3\,x^{13}\,\left(35\,c\,d^2+3\,b\right)+3\,c\,d\,e^{10}\,f^3\,x^{11}\,\left(b^2+26\,b\,c\,d^2+91\,c^2\,d^4+a\,c\right)","Not used",1,"(3*e^7*f^3*x^8*(a*b^2 + a^2*c + 12*b^3*d^2 + 2145*c^3*d^8 + 330*a*c^2*d^4 + 330*b^2*c*d^4 + 1716*b*c^2*d^6 + 72*a*b*c*d^2))/8 + (e^5*f^3*x^6*(a^2*b + 42*b^3*d^4 + 1001*c^3*d^10 + 21*a*b^2*d^2 + 21*a^2*c*d^2 + 462*a*c^2*d^6 + 462*b^2*c*d^6 + 1287*b*c^2*d^8 + 252*a*b*c*d^4))/2 + (e^9*f^3*x^10*(b^3 + 5005*c^3*d^6 + 165*a*c^2*d^2 + 165*b^2*c*d^2 + 2145*b*c^2*d^4 + 6*a*b*c))/10 + (c^3*e^15*f^3*x^16)/16 + d^3*f^3*x*(a + b*d^2 + c*d^4)^3 + (e^3*f^3*x^4*(a^3 + 84*b^3*d^6 + 455*c^3*d^12 + 30*a^2*b*d^2 + 105*a*b^2*d^4 + 105*a^2*c*d^4 + 495*a*c^2*d^8 + 495*b^2*c*d^8 + 858*b*c^2*d^10 + 504*a*b*c*d^6))/4 + (c*e^11*f^3*x^12*(a*c + b^2 + 455*c^2*d^4 + 78*b*c*d^2))/4 + (d*e^6*f^3*x^7*(21*a*b^2 + 21*a^2*c + 84*b^3*d^2 + 5005*c^3*d^8 + 1386*a*c^2*d^4 + 1386*b^2*c*d^4 + 5148*b*c^2*d^6 + 504*a*b*c*d^2))/7 + (3*d*e^4*f^3*x^5*(5*a^2*b + 42*b^3*d^4 + 455*c^3*d^10 + 35*a*b^2*d^2 + 35*a^2*c*d^2 + 330*a*c^2*d^6 + 330*b^2*c*d^6 + 715*b*c^2*d^8 + 252*a*b*c*d^4))/5 + d*e^8*f^3*x^9*(b^3 + 715*c^3*d^6 + 55*a*c^2*d^2 + 55*b^2*c*d^2 + 429*b*c^2*d^4 + 6*a*b*c) + (3*c^2*e^13*f^3*x^14*(b + 35*c*d^2))/14 + c^3*d*e^14*f^3*x^15 + d*e^2*f^3*x^3*(a^3 + 12*b^3*d^6 + 35*c^3*d^12 + 10*a^2*b*d^2 + 21*a*b^2*d^4 + 21*a^2*c*d^4 + 55*a*c^2*d^8 + 55*b^2*c*d^8 + 78*b*c^2*d^10 + 72*a*b*c*d^6) + (3*d^2*e*f^3*x^2*(a + b*d^2 + c*d^4)^2*(a + 3*b*d^2 + 5*c*d^4))/2 + c^2*d*e^12*f^3*x^13*(3*b + 35*c*d^2) + 3*c*d*e^10*f^3*x^11*(a*c + b^2 + 91*c^2*d^4 + 26*b*c*d^2)","B"
613,1,3988,193,2.323730,"\text{Not used}","int((d + e*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{x}{c}+\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)-\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)+\frac{2\,a^2\,b\,e^{10}}{c}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)-\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,\left(\frac{4\,d\,a^2\,c^2\,e^{11}-8\,d\,a\,b^2\,c\,e^{11}+2\,d\,b^4\,e^{11}}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}-4\,a\,b^2\,c^2\,e^{12}}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}-4\,a\,b^2\,c\,e^{12}+b^4\,e^{12}\right)}{c}\right)+\frac{2\,a^2\,b\,e^{10}}{c}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*(((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c)*1i + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*((2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c - ((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c)*1i)/((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*(((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c) - (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*((2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c - ((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c) + (2*a^2*b*e^10)/c))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*2i + atan(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*(((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c)*1i + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*((2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c - ((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c)*1i)/((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*(((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c) - (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*((2*b^4*d*e^11 + 4*a^2*c^2*d*e^11 - 8*a*b^2*c*d*e^11)/c - ((16*a^2*c^3*e^12 - 4*a*b^2*c^2*e^12)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12 + 2*a^2*c^2*e^12 - 4*a*b^2*c*e^12))/c) + (2*a^2*b*e^10)/c))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*2i + x/c","B"
614,1,278,81,1.764162,"\text{Not used}","int((d + e*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{4\,a\,c\,e\,\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)}{16\,a\,c^2\,e^2-4\,b^2\,c\,e^2}-\frac{b^2\,e\,\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)}{16\,a\,c^2\,e^2-4\,b^2\,c\,e^2}-\frac{b\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,d^2}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,e^2\,x^2}{\sqrt{4\,a\,c-b^2}}+\frac{4\,c\,d\,e\,x}{\sqrt{4\,a\,c-b^2}}\right)}{2\,c\,e\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(4*a*c*e*log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3))/(16*a*c^2*e^2 - 4*b^2*c*e^2) - (b^2*e*log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3))/(16*a*c^2*e^2 - 4*b^2*c*e^2) - (b*atan(b/(4*a*c - b^2)^(1/2) + (2*c*d^2)/(4*a*c - b^2)^(1/2) + (2*c*e^2*x^2)/(4*a*c - b^2)^(1/2) + (4*c*d*e*x)/(4*a*c - b^2)^(1/2)))/(2*c*e*(4*a*c - b^2)^(1/2))","B"
615,1,590,164,1.737131,"\text{Not used}","int((d + e*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","-2\,\mathrm{atanh}\left(\frac{\sqrt{-\frac{b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}\,\left(x\,\left(4\,a\,c^2\,e^{12}-2\,b^2\,c\,e^{12}\right)+\frac{\left(x\,\left(8\,b^3\,c^2\,e^{14}-32\,a\,b\,c^3\,e^{14}\right)+8\,b^3\,c^2\,d\,e^{13}-32\,a\,b\,c^3\,d\,e^{13}\right)\,\left(b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\right)}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}+4\,a\,c^2\,d\,e^{11}-2\,b^2\,c\,d\,e^{11}\right)}{a\,c\,e^{10}}\right)\,\sqrt{-\frac{b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}-2\,\mathrm{atanh}\left(\frac{\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}\,\left(x\,\left(4\,a\,c^2\,e^{12}-2\,b^2\,c\,e^{12}\right)-\frac{\left(x\,\left(8\,b^3\,c^2\,e^{14}-32\,a\,b\,c^3\,e^{14}\right)+8\,b^3\,c^2\,d\,e^{13}-32\,a\,b\,c^3\,d\,e^{13}\right)\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c\right)}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}+4\,a\,c^2\,d\,e^{11}-2\,b^2\,c\,d\,e^{11}\right)}{a\,c\,e^{10}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}","Not used",1,"- 2*atanh(((-(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)*(x*(4*a*c^2*e^12 - 2*b^2*c*e^12) + ((x*(8*b^3*c^2*e^14 - 32*a*b*c^3*e^14) + 8*b^3*c^2*d*e^13 - 32*a*b*c^3*d*e^13)*(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c))/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)) + 4*a*c^2*d*e^11 - 2*b^2*c*d*e^11))/(a*c*e^10))*(-(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2) - 2*atanh(((((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)*(x*(4*a*c^2*e^12 - 2*b^2*c*e^12) - ((x*(8*b^3*c^2*e^14 - 32*a*b*c^3*e^14) + 8*b^3*c^2*d*e^13 - 32*a*b*c^3*d*e^13)*((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c))/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)) + 4*a*c^2*d*e^11 - 2*b^2*c*d*e^11))/(a*c*e^10))*(((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)","B"
616,1,61,43,0.094142,"\text{Not used}","int((d + e*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{\mathrm{atan}\left(\frac{2\,a\,c\,d^2+4\,a\,c\,d\,e\,x+2\,a\,c\,e^2\,x^2+a\,b}{a\,\sqrt{4\,a\,c-b^2}}\right)}{e\,\sqrt{4\,a\,c-b^2}}","Not used",1,"atan((a*b + 2*a*c*d^2 + 2*a*c*e^2*x^2 + 4*a*c*d*e*x)/(a*(4*a*c - b^2)^(1/2)))/(e*(4*a*c - b^2)^(1/2))","B"
617,1,2173,94,2.503712,"\text{Not used}","int(1/((d + e*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\ln\left(d+e\,x\right)}{a\,e}-\frac{\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)\,\left(2\,b^2\,e-8\,a\,c\,e\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}-\frac{b\,\mathrm{atan}\left(\frac{16\,a^3\,x^2\,\left(\frac{\left(3\,b^3-8\,a\,b\,c\right)\,\left(\frac{b^2\,\left(10\,b\,c^3\,e^{18}+\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)}-\frac{{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(10\,b\,c^3\,e^{18}+\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{4\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{8\,a^3\,c^2\,\left(25\,a\,c-6\,b^2\right)}-\frac{\left(\frac{b\,{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{16\,a\,e\,\sqrt{4\,a\,c-b^2}\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}-\frac{b^3\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{64\,a^3\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(10\,b\,c^3\,e^{18}+\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,e^{19}-40\,a\,b\,c^3\,e^{19}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{4\,a\,e\,\sqrt{4\,a\,c-b^2}\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)\,\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(25\,a\,c-6\,b^2\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{b^2\,c^2\,e^{14}}+\frac{2\,\left(3\,b^3-8\,a\,b\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{b^2\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+4\,b^2\,c^2\,e^{16}+10\,b\,c^3\,d^2\,e^{16}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)}-\frac{{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+4\,b^2\,c^2\,e^{16}+10\,b\,c^3\,d^2\,e^{16}\right)}{4\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{b^2\,c^4\,e^{14}\,\left(25\,a\,c-6\,b^2\right)}-\frac{2\,\left(4\,a\,c-b^2\right)\,\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+4\,b^2\,c^2\,e^{16}+10\,b\,c^3\,d^2\,e^{16}\right)}{4\,a\,e\,\sqrt{4\,a\,c-b^2}\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}-\frac{b^3\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{64\,a^3\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(12\,b^3\,c^2\,d^2\,e^{17}+4\,a\,b^2\,c^2\,e^{17}-40\,a\,b\,c^3\,d^2\,e^{17}\right)}{16\,a\,e\,\sqrt{4\,a\,c-b^2}\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}\right)}{b^2\,c^4\,e^{14}\,\left(25\,a\,c-6\,b^2\right)}+\frac{16\,a^3\,x\,\left(\frac{\left(3\,b^3-8\,a\,b\,c\right)\,\left(\frac{b^2\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+20\,b\,c^3\,d\,e^{17}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)}-\frac{{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+20\,b\,c^3\,d\,e^{17}\right)}{4\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{16\,a^2\,e^2\,\left(4\,a\,c-b^2\right)\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}\right)}{8\,a^3\,c^2\,\left(25\,a\,c-6\,b^2\right)}-\frac{\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b\,\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(\frac{\left(2\,b^2\,e-8\,a\,c\,e\right)\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{2\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}+20\,b\,c^3\,d\,e^{17}\right)}{4\,a\,e\,\sqrt{4\,a\,c-b^2}\,\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}-\frac{b^3\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{64\,a^3\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,{\left(2\,b^2\,e-8\,a\,c\,e\right)}^2\,\left(24\,b^3\,c^2\,d\,e^{18}-80\,a\,b\,c^3\,d\,e^{18}\right)}{16\,a\,e\,\sqrt{4\,a\,c-b^2}\,{\left(4\,a\,b^2\,e^2-16\,a^2\,c\,e^2\right)}^2}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(25\,a\,c-6\,b^2\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{b^2\,c^2\,e^{14}}\right)}{2\,a\,e\,\sqrt{4\,a\,c-b^2}}","Not used",1,"log(d + e*x)/(a*e) - (log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3)*(2*b^2*e - 8*a*c*e))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) - (b*atan((16*a^3*x^2*(((3*b^3 - 8*a*b*c)*((b^2*(10*b*c^3*e^18 + ((2*b^2*e - 8*a*c*e)*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(16*a^2*e^2*(4*a*c - b^2)) - ((2*b^2*e - 8*a*c*e)^2*(10*b*c^3*e^18 + ((2*b^2*e - 8*a*c*e)*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(4*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2) + (b^2*(2*b^2*e - 8*a*c*e)*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(16*a^2*e^2*(4*a*c - b^2)*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(8*a^3*c^2*(25*a*c - 6*b^2)) - (((b*(2*b^2*e - 8*a*c*e)^2*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(16*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2) - (b^3*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(64*a^3*e^3*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e - 8*a*c*e)*(10*b*c^3*e^18 + ((2*b^2*e - 8*a*c*e)*(12*b^3*c^2*e^19 - 40*a*b*c^3*e^19))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(4*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)))*(3*b^4 + 10*a^2*c^2 - 14*a*b^2*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(25*a*c - 6*b^2)))*(4*a*c - b^2)^(3/2))/(b^2*c^2*e^14) + (2*(3*b^3 - 8*a*b*c)*(4*a*c - b^2)^(3/2)*((b^2*(((2*b^2*e - 8*a*c*e)*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 4*b^2*c^2*e^16 + 10*b*c^3*d^2*e^16))/(16*a^2*e^2*(4*a*c - b^2)) - ((2*b^2*e - 8*a*c*e)^2*(((2*b^2*e - 8*a*c*e)*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 4*b^2*c^2*e^16 + 10*b*c^3*d^2*e^16))/(4*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2) + (b^2*(2*b^2*e - 8*a*c*e)*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(16*a^2*e^2*(4*a*c - b^2)*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(b^2*c^4*e^14*(25*a*c - 6*b^2)) - (2*(4*a*c - b^2)*(3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b*(2*b^2*e - 8*a*c*e)*(((2*b^2*e - 8*a*c*e)*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 4*b^2*c^2*e^16 + 10*b*c^3*d^2*e^16))/(4*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)) - (b^3*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(64*a^3*e^3*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e - 8*a*c*e)^2*(4*a*b^2*c^2*e^17 + 12*b^3*c^2*d^2*e^17 - 40*a*b*c^3*d^2*e^17))/(16*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2)))/(b^2*c^4*e^14*(25*a*c - 6*b^2)) + (16*a^3*x*(((3*b^3 - 8*a*b*c)*((b^2*(((2*b^2*e - 8*a*c*e)*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 20*b*c^3*d*e^17))/(16*a^2*e^2*(4*a*c - b^2)) - ((2*b^2*e - 8*a*c*e)^2*(((2*b^2*e - 8*a*c*e)*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 20*b*c^3*d*e^17))/(4*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2) + (b^2*(2*b^2*e - 8*a*c*e)*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(16*a^2*e^2*(4*a*c - b^2)*(4*a*b^2*e^2 - 16*a^2*c*e^2))))/(8*a^3*c^2*(25*a*c - 6*b^2)) - ((3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b*(2*b^2*e - 8*a*c*e)*(((2*b^2*e - 8*a*c*e)*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(2*(4*a*b^2*e^2 - 16*a^2*c*e^2)) + 20*b*c^3*d*e^17))/(4*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)) - (b^3*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(64*a^3*e^3*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e - 8*a*c*e)^2*(24*b^3*c^2*d*e^18 - 80*a*b*c^3*d*e^18))/(16*a*e*(4*a*c - b^2)^(1/2)*(4*a*b^2*e^2 - 16*a^2*c*e^2)^2)))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(25*a*c - 6*b^2)))*(4*a*c - b^2)^(3/2))/(b^2*c^2*e^14)))/(2*a*e*(4*a*c - b^2)^(1/2))","B"
618,1,3844,195,2.389292,"\text{Not used}","int(1/((d + e*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","-\frac{1}{a\,e\,\left(d+e\,x\right)}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}-16\,a^5\,b\,c^3\,e^{12}+4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+16\,a^5\,b\,c^3\,e^{12}-4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+16\,a^5\,b\,c^3\,e^{12}-4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)-\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}-16\,a^5\,b\,c^3\,e^{12}+4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)+2\,a^3\,c^4\,e^{10}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}-16\,a^5\,b\,c^3\,e^{12}+4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+16\,a^5\,b\,c^3\,e^{12}-4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+16\,a^5\,b\,c^3\,e^{12}-4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)-\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}-2\,a^3\,b^2\,c^3\,e^{12}\right)+\left(\left(x\,\left(32\,a^6\,b\,c^3\,e^{14}-8\,a^5\,b^3\,c^2\,e^{14}\right)+32\,a^6\,b\,c^3\,d\,e^{13}-8\,a^5\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}-16\,a^5\,b\,c^3\,e^{12}+4\,a^4\,b^3\,c^2\,e^{12}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}+4\,a^4\,c^4\,d\,e^{11}-2\,a^3\,b^2\,c^3\,d\,e^{11}\right)+2\,a^3\,c^4\,e^{10}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2-8\,a^4\,b^2\,c\,e^2+a^3\,b^4\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) - 16*a^5*b*c^3*e^12 + 4*a^4*b^3*c^2*e^12)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11)*1i + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 16*a^5*b*c^3*e^12 - 4*a^4*b^3*c^2*e^12)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11)*1i)/((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 16*a^5*b*c^3*e^12 - 4*a^4*b^3*c^2*e^12)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11) - (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) - 16*a^5*b*c^3*e^12 + 4*a^4*b^3*c^2*e^12)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11) + 2*a^3*c^4*e^10))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*2i - atan(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) - 16*a^5*b*c^3*e^12 + 4*a^4*b^3*c^2*e^12)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11)*1i + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 16*a^5*b*c^3*e^12 - 4*a^4*b^3*c^2*e^12)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11)*1i)/((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 16*a^5*b*c^3*e^12 - 4*a^4*b^3*c^2*e^12)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11) - (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*(x*(4*a^4*c^4*e^12 - 2*a^3*b^2*c^3*e^12) + ((x*(32*a^6*b*c^3*e^14 - 8*a^5*b^3*c^2*e^14) + 32*a^6*b*c^3*d*e^13 - 8*a^5*b^3*c^2*d*e^13)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) - 16*a^5*b*c^3*e^12 + 4*a^4*b^3*c^2*e^12)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2) + 4*a^4*c^4*d*e^11 - 2*a^3*b^2*c^3*d*e^11) + 2*a^3*c^4*e^10))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2 + 16*a^5*c^2*e^2 - 8*a^4*b^2*c*e^2)))^(1/2)*2i - 1/(a*e*(d + e*x))","B"
619,1,4950,121,5.855288,"\text{Not used}","int(1/((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\mathrm{atan}\left(\frac{16\,a^6\,x^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}+2\,a^2\,b^2\,c^3\,e^{18}}{a^3}+\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{6\,b\,c^4\,e^{17}}{a^2}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{c^5\,e^{16}}{a^3}-\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}+2\,a^2\,b^2\,c^3\,e^{18}}{a^3}+\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{8\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{{\left(2\,a\,c-b^2\right)}^2\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{32\,a^7\,e^2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,a^3\,c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}+\frac{\left(\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}+2\,a^2\,b^2\,c^3\,e^{18}}{a^3}+\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{8\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}+2\,a^2\,b^2\,c^3\,e^{18}}{a^3}+\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{6\,b\,c^4\,e^{17}}{a^2}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{{\left(2\,a\,c-b^2\right)}^3\,\left(40\,a^4\,b\,c^3\,e^{19}-12\,a^3\,b^3\,c^2\,e^{19}\right)}{64\,a^9\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}\right)}{4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}}+\frac{16\,a^6\,x\,\left(\frac{\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{\left(\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}+2\,d\,a^2\,b^2\,c^3\,e^{17}\right)}{a^3}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{12\,b\,c^4\,d\,e^{16}}{a^2}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{2\,c^5\,d\,e^{15}}{a^3}-\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}+2\,d\,a^2\,b^2\,c^3\,e^{17}\right)}{a^3}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{4\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{16\,a^7\,e^2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,a^3\,c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}+\frac{\left(\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}+2\,d\,a^2\,b^2\,c^3\,e^{17}\right)}{a^3}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{4\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{\left(\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}+2\,d\,a^2\,b^2\,c^3\,e^{17}\right)}{a^3}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{12\,b\,c^4\,d\,e^{16}}{a^2}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}-12\,a^3\,b^3\,c^2\,d\,e^{18}\right)\,{\left(2\,a\,c-b^2\right)}^3}{32\,a^9\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}}+\frac{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{c^5\,d^2\,e^{14}+b\,c^4\,e^{14}}{a^3}+\frac{\left(\frac{-a^2\,c^4\,e^{15}+4\,a\,b^2\,c^3\,e^{15}+6\,a\,b\,c^4\,d^2\,e^{15}}{a^3}+\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}+20\,a^3\,c^4\,d^2\,e^{16}+4\,a^2\,b^3\,c^2\,e^{16}+2\,a^2\,b^2\,c^3\,d^2\,e^{16}}{a^3}-\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}+20\,a^3\,c^4\,d^2\,e^{16}+4\,a^2\,b^3\,c^2\,e^{16}+2\,a^2\,b^2\,c^3\,d^2\,e^{16}}{a^3}-\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{8\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{{\left(2\,a\,c-b^2\right)}^2\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{32\,a^7\,e^2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}\right)}+\frac{2\,a^3\,\left(4\,a\,c-b^2\right)\,\left(\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}+20\,a^3\,c^4\,d^2\,e^{16}+4\,a^2\,b^3\,c^2\,e^{16}+2\,a^2\,b^2\,c^3\,d^2\,e^{16}}{a^3}-\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,a\,c-b^2\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{8\,a^5\,e\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)\,\sqrt{4\,a\,c-b^2}}\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}+\frac{\left(\frac{-a^2\,c^4\,e^{15}+4\,a\,b^2\,c^3\,e^{15}+6\,a\,b\,c^4\,d^2\,e^{15}}{a^3}+\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}+20\,a^3\,c^4\,d^2\,e^{16}+4\,a^2\,b^3\,c^2\,e^{16}+2\,a^2\,b^2\,c^3\,d^2\,e^{16}}{a^3}-\frac{\left(2\,b^3\,e-8\,a\,b\,c\,e\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{2\,a^3\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,\sqrt{4\,a\,c-b^2}}+\frac{{\left(2\,a\,c-b^2\right)}^3\,\left(4\,a^4\,b^2\,c^2\,e^{17}-40\,a^4\,b\,c^3\,d^2\,e^{17}+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\right)}{64\,a^9\,e^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}\right)}\right)\,\left(2\,a\,c-b^2\right)}{2\,a^2\,e\,\sqrt{4\,a\,c-b^2}}-\frac{\ln\left(\left(\frac{c^5\,e^{16}\,x^2}{a^3}-\frac{\left(b+a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{c^3\,e^{15}\,\left(4\,b^2+6\,c\,b\,d^2-a\,c\right)}{a^2}-\frac{\left(b+a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{2\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-2\,a\,b\,c+10\,a\,c^2\,d^2\right)}{a}+\frac{2\,c^3\,e^{18}\,x^2\,\left(b^2+10\,a\,c\right)}{a}+\frac{b\,c^2\,e^{16}\,\left(b+a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2}+\frac{4\,c^3\,d\,e^{17}\,x\,\left(b^2+10\,a\,c\right)}{a}\right)}{4\,a^2\,e}+\frac{6\,b\,c^4\,e^{17}\,x^2}{a^2}+\frac{12\,b\,c^4\,d\,e^{16}\,x}{a^2}\right)}{4\,a^2\,e}+\frac{c^4\,e^{14}\,\left(c\,d^2+b\right)}{a^3}+\frac{2\,c^5\,d\,e^{15}\,x}{a^3}\right)\,\left(\frac{c^5\,e^{16}\,x^2}{a^3}-\frac{\left(b-a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{c^3\,e^{15}\,\left(4\,b^2+6\,c\,b\,d^2-a\,c\right)}{a^2}-\frac{\left(b-a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{2\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-2\,a\,b\,c+10\,a\,c^2\,d^2\right)}{a}+\frac{2\,c^3\,e^{18}\,x^2\,\left(b^2+10\,a\,c\right)}{a}+\frac{b\,c^2\,e^{16}\,\left(b-a^2\,e\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,\left(4\,a\,c-b^2\right)}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2}+\frac{4\,c^3\,d\,e^{17}\,x\,\left(b^2+10\,a\,c\right)}{a}\right)}{4\,a^2\,e}+\frac{6\,b\,c^4\,e^{17}\,x^2}{a^2}+\frac{12\,b\,c^4\,d\,e^{16}\,x}{a^2}\right)}{4\,a^2\,e}+\frac{c^4\,e^{14}\,\left(c\,d^2+b\right)}{a^3}+\frac{2\,c^5\,d\,e^{15}\,x}{a^3}\right)\right)\,\left(2\,b^3\,e-8\,a\,b\,c\,e\right)}{2\,\left(16\,a^3\,c\,e^2-4\,a^2\,b^2\,e^2\right)}-\frac{b\,\ln\left(d+e\,x\right)}{a^2\,e}-\frac{1}{2\,a\,e\,\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}","Not used",1,"(atan((16*a^6*x^2*(4*a*c - b^2)^(3/2)*(((3*b^4 + a^2*c^2 - 9*a*b^2*c)*((((((20*a^3*c^4*e^18 + 2*a^2*b^2*c^3*e^18)/a^3 + ((2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (6*b*c^4*e^17)/a^2)*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (c^5*e^16)/a^3 - (((((20*a^3*c^4*e^18 + 2*a^2*b^2*c^3*e^18)/a^3 + ((2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(8*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)^2*(2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(32*a^7*e^2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2))))/(8*a^3*c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)) + (((((((20*a^3*c^4*e^18 + 2*a^2*b^2*c^3*e^18)/a^3 + ((2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(8*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (((((20*a^3*c^4*e^18 + 2*a^2*b^2*c^3*e^18)/a^3 + ((2*b^3*e - 8*a*b*c*e)*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (6*b*c^4*e^17)/a^2)*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)^3*(40*a^4*b*c^3*e^19 - 12*a^3*b^3*c^2*e^19))/(64*a^9*e^3*(4*a*c - b^2)^(3/2)))*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 6*b^4 + 24*a*b^2*c))))/(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14) + (16*a^6*x*(((3*b^4 + a^2*c^2 - 9*a*b^2*c)*(((((2*b^3*e - 8*a*b*c*e)*((2*(20*a^3*c^4*d*e^17 + 2*a^2*b^2*c^3*d*e^17))/a^3 + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*b^3*e - 8*a*b*c*e))/(a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2))))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (12*b*c^4*d*e^16)/a^2)*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (2*c^5*d*e^15)/a^3 - ((((2*a*c - b^2)*((2*(20*a^3*c^4*d*e^17 + 2*a^2*b^2*c^3*d*e^17))/a^3 + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*b^3*e - 8*a*b*c*e))/(a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e))/(4*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*a*c - b^2)^2*(2*b^3*e - 8*a*b*c*e))/(16*a^7*e^2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2))))/(8*a^3*c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)) + ((((((2*a*c - b^2)*((2*(20*a^3*c^4*d*e^17 + 2*a^2*b^2*c^3*d*e^17))/a^3 + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*b^3*e - 8*a*b*c*e))/(a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e))/(4*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + ((((2*b^3*e - 8*a*b*c*e)*((2*(20*a^3*c^4*d*e^17 + 2*a^2*b^2*c^3*d*e^17))/a^3 + ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*b^3*e - 8*a*b*c*e))/(a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2))))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (12*b*c^4*d*e^16)/a^2)*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((40*a^4*b*c^3*d*e^18 - 12*a^3*b^3*c^2*d*e^18)*(2*a*c - b^2)^3)/(32*a^9*e^3*(4*a*c - b^2)^(3/2)))*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)))*(4*a*c - b^2)^(3/2))/(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14) + (2*a^3*(4*a*c - b^2)^(3/2)*(3*b^4 + a^2*c^2 - 9*a*b^2*c)*((b*c^4*e^14 + c^5*d^2*e^14)/a^3 + (((4*a*b^2*c^3*e^15 - a^2*c^4*e^15 + 6*a*b*c^4*d^2*e^15)/a^3 + (((4*a^2*b^3*c^2*e^16 - 4*a^3*b*c^3*e^16 + 20*a^3*c^4*d^2*e^16 + 2*a^2*b^2*c^3*d^2*e^16)/a^3 - ((2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) - ((2*a*c - b^2)*((((4*a^2*b^3*c^2*e^16 - 4*a^3*b*c^3*e^16 + 20*a^3*c^4*d^2*e^16 + 2*a^2*b^2*c^3*d^2*e^16)/a^3 - ((2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(8*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2))))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)^2*(2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(32*a^7*e^2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2))))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14)) + (2*a^3*(4*a*c - b^2)*(((2*b^3*e - 8*a*b*c*e)*((((4*a^2*b^3*c^2*e^16 - 4*a^3*b*c^3*e^16 + 20*a^3*c^4*d^2*e^16 + 2*a^2*b^2*c^3*d^2*e^16)/a^3 - ((2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) - ((2*a*c - b^2)*(2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(8*a^5*e*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)*(4*a*c - b^2)^(1/2))))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) + (((4*a*b^2*c^3*e^15 - a^2*c^4*e^15 + 6*a*b*c^4*d^2*e^15)/a^3 + (((4*a^2*b^3*c^2*e^16 - 4*a^3*b*c^3*e^16 + 20*a^3*c^4*d^2*e^16 + 2*a^2*b^2*c^3*d^2*e^16)/a^3 - ((2*b^3*e - 8*a*b*c*e)*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(2*a^3*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)))*(2*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)^3*(4*a^4*b^2*c^2*e^17 + 12*a^3*b^3*c^2*d^2*e^17 - 40*a^4*b*c^3*d^2*e^17))/(64*a^9*e^3*(4*a*c - b^2)^(3/2)))*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14)))*(2*a*c - b^2))/(2*a^2*e*(4*a*c - b^2)^(1/2)) - (log(((c^5*e^16*x^2)/a^3 - ((b + a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*((c^3*e^15*(4*b^2 - a*c + 6*b*c*d^2))/a^2 - ((b + a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*((2*c^2*e^16*(2*b^3 + 10*a*c^2*d^2 + b^2*c*d^2 - 2*a*b*c))/a + (2*c^3*e^18*x^2*(10*a*c + b^2))/a + (b*c^2*e^16*(b + a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^2 + (4*c^3*d*e^17*x*(10*a*c + b^2))/a))/(4*a^2*e) + (6*b*c^4*e^17*x^2)/a^2 + (12*b*c^4*d*e^16*x)/a^2))/(4*a^2*e) + (c^4*e^14*(b + c*d^2))/a^3 + (2*c^5*d*e^15*x)/a^3)*((c^5*e^16*x^2)/a^3 - ((b - a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*((c^3*e^15*(4*b^2 - a*c + 6*b*c*d^2))/a^2 - ((b - a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*((2*c^2*e^16*(2*b^3 + 10*a*c^2*d^2 + b^2*c*d^2 - 2*a*b*c))/a + (2*c^3*e^18*x^2*(10*a*c + b^2))/a + (b*c^2*e^16*(b - a^2*e*(-(2*a*c - b^2)^2/(a^4*e^2*(4*a*c - b^2)))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^2 + (4*c^3*d*e^17*x*(10*a*c + b^2))/a))/(4*a^2*e) + (6*b*c^4*e^17*x^2)/a^2 + (12*b*c^4*d*e^16*x)/a^2))/(4*a^2*e) + (c^4*e^14*(b + c*d^2))/a^3 + (2*c^5*d*e^15*x)/a^3))*(2*b^3*e - 8*a*b*c*e))/(2*(16*a^3*c*e^2 - 4*a^2*b^2*e^2)) - (b*log(d + e*x))/(a^2*e) - 1/(2*a*e*(d^2 + e^2*x^2 + 2*d*e*x))","B"
620,1,5214,224,2.832849,"\text{Not used}","int(1/((d + e*x)^4*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\frac{2\,b\,d\,x}{a^2}-\frac{a-3\,b\,d^2}{3\,a^2\,e}+\frac{b\,e\,x^2}{a^2}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}-\mathrm{atan}\left(\frac{\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}-16\,a^{10}\,c^4\,e^{12}-4\,a^8\,b^4\,c^2\,e^{12}+20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}+16\,a^{10}\,c^4\,e^{12}+4\,a^8\,b^4\,c^2\,e^{12}-20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}+16\,a^{10}\,c^4\,e^{12}+4\,a^8\,b^4\,c^2\,e^{12}-20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}-16\,a^{10}\,c^4\,e^{12}-4\,a^8\,b^4\,c^2\,e^{12}+20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)+2\,a^6\,b\,c^5\,e^{10}}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}-16\,a^{10}\,c^4\,e^{12}-4\,a^8\,b^4\,c^2\,e^{12}+20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}+16\,a^{10}\,c^4\,e^{12}+4\,a^8\,b^4\,c^2\,e^{12}-20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}+16\,a^{10}\,c^4\,e^{12}+4\,a^8\,b^4\,c^2\,e^{12}-20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(x\,\left(4\,a^8\,c^5\,e^{12}-8\,a^7\,b^2\,c^4\,e^{12}+2\,a^6\,b^4\,c^3\,e^{12}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,\left(\left(x\,\left(32\,a^{11}\,b\,c^3\,e^{14}-8\,a^{10}\,b^3\,c^2\,e^{14}\right)+32\,a^{11}\,b\,c^3\,d\,e^{13}-8\,a^{10}\,b^3\,c^2\,d\,e^{13}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}-16\,a^{10}\,c^4\,e^{12}-4\,a^8\,b^4\,c^2\,e^{12}+20\,a^9\,b^2\,c^3\,e^{12}\right)+4\,a^8\,c^5\,d\,e^{11}+2\,a^6\,b^4\,c^3\,d\,e^{11}-8\,a^7\,b^2\,c^4\,d\,e^{11}\right)+2\,a^6\,b\,c^5\,e^{10}}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2-8\,a^6\,b^2\,c\,e^2+a^5\,b^4\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"((2*b*d*x)/a^2 - (a - 3*b*d^2)/(3*a^2*e) + (b*e*x^2)/a^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x) - atan((((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) - 16*a^10*c^4*e^12 - 4*a^8*b^4*c^2*e^12 + 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11)*1i + ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) + 16*a^10*c^4*e^12 + 4*a^8*b^4*c^2*e^12 - 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11)*1i)/(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) + 16*a^10*c^4*e^12 + 4*a^8*b^4*c^2*e^12 - 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) - 16*a^10*c^4*e^12 - 4*a^8*b^4*c^2*e^12 + 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11) + 2*a^6*b*c^5*e^10))*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*2i - atan(((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) - 16*a^10*c^4*e^12 - 4*a^8*b^4*c^2*e^12 + 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11)*1i + (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) + 16*a^10*c^4*e^12 + 4*a^8*b^4*c^2*e^12 - 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11)*1i)/((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) + 16*a^10*c^4*e^12 + 4*a^8*b^4*c^2*e^12 - 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*(x*(4*a^8*c^5*e^12 + 2*a^6*b^4*c^3*e^12 - 8*a^7*b^2*c^4*e^12) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*((x*(32*a^11*b*c^3*e^14 - 8*a^10*b^3*c^2*e^14) + 32*a^11*b*c^3*d*e^13 - 8*a^10*b^3*c^2*d*e^13)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2) - 16*a^10*c^4*e^12 - 4*a^8*b^4*c^2*e^12 + 20*a^9*b^2*c^3*e^12) + 4*a^8*c^5*d*e^11 + 2*a^6*b^4*c^3*d*e^11 - 8*a^7*b^2*c^4*d*e^11) + 2*a^6*b*c^5*e^10))*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2 + 16*a^7*c^2*e^2 - 8*a^6*b^2*c*e^2)))^(1/2)*2i","B"
621,1,7327,270,4.755477,"\text{Not used}","int((d + e*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\mathrm{atan}\left(-\frac{\left(\left(\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}+\left(\left(\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\left(\left(\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\frac{4\,a^2\,b\,c^2\,e^{10}+3\,a\,b^3\,c\,e^{10}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,2{}\mathrm{i}-\frac{\frac{b\,d^3+2\,a\,d}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(3\,b\,d^2+2\,a\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{b\,e^2\,x^3}{2\,\left(4\,a\,c-b^2\right)}+\frac{3\,b\,d\,e\,x^2}{2\,\left(4\,a\,c-b^2\right)}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\mathrm{atan}\left(\frac{\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,\left(\left(\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,1{}\mathrm{i}-\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,\left(\left(\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,1{}\mathrm{i}}{\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,\left(\left(\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,\left(\left(\frac{2048\,a^4\,c^5\,e^{12}-1536\,a^3\,b^2\,c^4\,e^{12}+384\,a^2\,b^4\,c^3\,e^{12}-32\,a\,b^6\,c^2\,e^{12}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\frac{128\,d\,a^3\,c^4\,e^{11}+8\,d\,a\,b^4\,c^2\,e^{11}-4\,d\,b^6\,c\,e^{11}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}+2\,a\,b^2\,c^2\,e^{12}+b^4\,c\,e^{12}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)-\frac{4\,a^2\,b\,c^2\,e^{10}+3\,a\,b^3\,c\,e^{10}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(-(((((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i + ((((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + (2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i)/(((((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - ((((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + (2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + (4*a^2*b*c^2*e^10 + 3*a*b^3*c*e^10)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*2i - ((2*a*d + b*d^3)/(2*e*(4*a*c - b^2)) + (x*(2*a + 3*b*d^2))/(2*(4*a*c - b^2)) + (b*e^2*x^3)/(2*(4*a*c - b^2)) + (3*b*d*e*x^2)/(2*(4*a*c - b^2)))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + atan(((((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*(((2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*1i - (((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*(((2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*1i)/((((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*(((2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + (((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*(((2048*a^4*c^5*e^12 - 32*a*b^6*c^2*e^12 + 384*a^2*b^4*c^3*e^12 - 1536*a^3*b^2*c^4*e^12)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + (128*a^3*c^4*d*e^11 - 4*b^6*c*d*e^11 + 8*a*b^4*c^2*d*e^11)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(b^4*c*e^12 + 8*a^2*c^3*e^12 + 2*a*b^2*c^2*e^12))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) - (4*a^2*b*c^2*e^10 + 3*a*b^3*c*e^10)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*2i","B"
622,1,427,97,1.770326,"\text{Not used}","int((d + e*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{b\,\mathrm{atan}\left(\frac{{\left(4\,a\,c-b^2\right)}^4\,\left(x\,\left(\frac{b^3\,\left(2\,b^3\,c^2\,d\,e^9-8\,a\,b\,c^3\,d\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{2\,b^2\,c^2\,d\,e^7}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)+x^2\,\left(\frac{b^3\,\left(2\,b^3\,c^2\,e^{10}-8\,a\,b\,c^3\,e^{10}\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{b^2\,c^2\,e^8}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)-\frac{b^3\,\left(16\,a^2\,c^3\,e^8-4\,a\,b^2\,c^2\,e^8+8\,a\,b\,c^3\,d^2\,e^8-2\,b^3\,c^2\,d^2\,e^8\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{b^2\,c^2\,d^2\,e^6}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)}{2\,b^2\,c^2\,e^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\frac{b\,d^2+2\,a}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{b\,e\,x^2}{2\,\left(4\,a\,c-b^2\right)}+\frac{b\,d\,x}{4\,a\,c-b^2}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}","Not used",1,"(b*atan(((4*a*c - b^2)^4*(x*((b^3*(2*b^3*c^2*d*e^9 - 8*a*b*c^3*d*e^9))/(a*e^2*(4*a*c - b^2)^(11/2)) - (2*b^2*c^2*d*e^7)/(a*(4*a*c - b^2)^(7/2))) + x^2*((b^3*(2*b^3*c^2*e^10 - 8*a*b*c^3*e^10))/(2*a*e^2*(4*a*c - b^2)^(11/2)) - (b^2*c^2*e^8)/(a*(4*a*c - b^2)^(7/2))) - (b^3*(16*a^2*c^3*e^8 - 4*a*b^2*c^2*e^8 - 2*b^3*c^2*d^2*e^8 + 8*a*b*c^3*d^2*e^8))/(2*a*e^2*(4*a*c - b^2)^(11/2)) - (b^2*c^2*d^2*e^6)/(a*(4*a*c - b^2)^(7/2))))/(2*b^2*c^2*e^6)))/(e*(4*a*c - b^2)^(3/2)) - ((2*a + b*d^2)/(2*e*(4*a*c - b^2)) + (b*e*x^2)/(2*(4*a*c - b^2)) + (b*d*x)/(4*a*c - b^2))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3)","B"
623,1,7200,254,3.953262,"\text{Not used}","int((d + e*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{\frac{x\,\left(6\,c\,d^2+b\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,d^3+b\,d}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{c\,e^2\,x^3}{4\,a\,c-b^2}+\frac{3\,c\,d\,e\,x^2}{4\,a\,c-b^2}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\mathrm{atan}\left(\frac{\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,\left(\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}+\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,\left(\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}}{\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,\left(\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)-\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,\left(\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)+\frac{3\,b^2\,c^3\,e^{10}+4\,a\,c^4\,e^{10}}{2\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{\left(\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,1{}\mathrm{i}+\left(\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,1{}\mathrm{i}}{\frac{3\,b^2\,c^3\,e^{10}+4\,a\,c^4\,e^{10}}{2\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}-\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\left(\left(\left(\frac{8192\,d\,a^4\,b\,c^6\,e^{13}-8192\,d\,a^3\,b^3\,c^5\,e^{13}+3072\,d\,a^2\,b^5\,c^4\,e^{13}-512\,d\,a\,b^7\,c^3\,e^{13}+32\,d\,b^9\,c^2\,e^{13}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{-512\,a^3\,b\,c^5\,e^{12}+384\,a^2\,b^3\,c^4\,e^{12}-96\,a\,b^5\,c^3\,e^{12}+8\,b^7\,c^2\,e^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}+\frac{64\,d\,a^2\,c^5\,e^{11}-96\,d\,a\,b^2\,c^4\,e^{11}+20\,d\,b^4\,c^3\,e^{11}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\left(4\,a\,c^4\,e^{12}-5\,b^2\,c^3\,e^{12}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*((64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i + (((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*((64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i)/((((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*((64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*((64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (4*a*c^4*e^10 + 3*b^2*c^3*e^10)/(2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*2i - atan(-(((((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*1i + ((((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*1i)/((4*a*c^4*e^10 + 3*b^2*c^3*e^10)/(2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) - (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + ((((32*b^9*c^2*d*e^13 - 512*a*b^7*c^3*d*e^13 + 8192*a^4*b*c^6*d*e^13 + 3072*a^2*b^5*c^4*d*e^13 - 8192*a^3*b^3*c^5*d*e^13)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (8*b^7*c^2*e^12 - 96*a*b^5*c^3*e^12 - 512*a^3*b*c^5*e^12 + 384*a^2*b^3*c^4*e^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2) + (64*a^2*c^5*d*e^11 + 20*b^4*c^3*d*e^11 - 96*a*b^2*c^4*d*e^11)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(4*a*c^4*e^12 - 5*b^2*c^3*e^12))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*2i + ((x*(b + 6*c*d^2))/(2*(4*a*c - b^2)) + (b*d + 2*c*d^3)/(2*e*(4*a*c - b^2)) + (c*e^2*x^3)/(4*a*c - b^2) + (3*c*d*e*x^2)/(4*a*c - b^2))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3)","B"
624,1,417,98,1.720247,"\text{Not used}","int((d + e*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{\frac{2\,c\,d^2+b}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{c\,e\,x^2}{4\,a\,c-b^2}+\frac{2\,c\,d\,x}{4\,a\,c-b^2}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\frac{2\,c\,\mathrm{atan}\left(\frac{{\left(4\,a\,c-b^2\right)}^4\,\left(x\,\left(\frac{8\,c^4\,d\,e^7}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}-\frac{8\,b\,c^2\,\left(b^3\,c^2\,d\,e^9-4\,a\,b\,c^3\,d\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)+x^2\,\left(\frac{4\,c^4\,e^8}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}-\frac{4\,b\,c^2\,\left(b^3\,c^2\,e^{10}-4\,a\,b\,c^3\,e^{10}\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)+\frac{4\,c^4\,d^2\,e^6}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{4\,b\,c^2\,\left(8\,a^2\,c^3\,e^8-2\,a\,b^2\,c^2\,e^8+4\,a\,b\,c^3\,d^2\,e^8-b^3\,c^2\,d^2\,e^8\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)}{8\,c^4\,e^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((b + 2*c*d^2)/(2*e*(4*a*c - b^2)) + (c*e*x^2)/(4*a*c - b^2) + (2*c*d*x)/(4*a*c - b^2))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + (2*c*atan(((4*a*c - b^2)^4*(x*((8*c^4*d*e^7)/(a*(4*a*c - b^2)^(7/2)) - (8*b*c^2*(b^3*c^2*d*e^9 - 4*a*b*c^3*d*e^9))/(a*e^2*(4*a*c - b^2)^(11/2))) + x^2*((4*c^4*e^8)/(a*(4*a*c - b^2)^(7/2)) - (4*b*c^2*(b^3*c^2*e^10 - 4*a*b*c^3*e^10))/(a*e^2*(4*a*c - b^2)^(11/2))) + (4*c^4*d^2*e^6)/(a*(4*a*c - b^2)^(7/2)) + (4*b*c^2*(8*a^2*c^3*e^8 - 2*a*b^2*c^2*e^8 - b^3*c^2*d^2*e^8 + 4*a*b*c^3*d^2*e^8))/(a*e^2*(4*a*c - b^2)^(11/2))))/(8*c^4*e^6)))/(e*(4*a*c - b^2)^(3/2))","B"
625,1,9056,299,4.846331,"\text{Not used}","int(1/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","-\frac{\frac{b^2\,d+c\,b\,d^3-2\,a\,c\,d}{2\,a\,e\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(b^2+3\,c\,b\,d^2-2\,a\,c\right)}{2\,a\,\left(4\,a\,c-b^2\right)}+\frac{b\,c\,e^2\,x^3}{2\,a\,\left(4\,a\,c-b^2\right)}+\frac{3\,b\,c\,d\,e\,x^2}{2\,a\,\left(4\,a\,c-b^2\right)}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\mathrm{atan}\left(\frac{\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}-\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,1{}\mathrm{i}-\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}+\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}-\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)+\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}+\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)+\frac{5\,b^3\,c^4\,e^{10}-36\,a\,b\,c^5\,e^{10}}{4\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}-\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,1{}\mathrm{i}-\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}+\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}-\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)+\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,\left(\left(\frac{6144\,a^5\,c^6\,e^{12}-5632\,a^4\,b^2\,c^5\,e^{12}+1920\,a^3\,b^4\,c^4\,e^{12}-288\,a^2\,b^6\,c^3\,e^{12}+16\,a\,b^8\,c^2\,e^{12}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\left(\frac{16384\,d\,a^6\,b\,c^6\,e^{13}-16384\,d\,a^5\,b^3\,c^5\,e^{13}+6144\,d\,a^4\,b^5\,c^4\,e^{13}-1024\,d\,a^3\,b^7\,c^3\,e^{13}+64\,d\,a^2\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(1024\,a^5\,b\,c^5\,e^{14}-768\,a^4\,b^3\,c^4\,e^{14}+192\,a^3\,b^5\,c^3\,e^{14}-16\,a^2\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}+\frac{1152\,d\,a^3\,c^6\,e^{11}-512\,d\,a^2\,b^2\,c^5\,e^{11}+72\,d\,a\,b^4\,c^4\,e^{11}-4\,d\,b^6\,c^3\,e^{11}}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\left(72\,a^2\,c^5\,e^{12}-14\,a\,b^2\,c^4\,e^{12}+b^4\,c^3\,e^{12}\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)+\frac{5\,b^3\,c^4\,e^{10}-36\,a\,b\,c^5\,e^{10}}{4\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6\,e^2-6144\,a^8\,b^2\,c^5\,e^2+3840\,a^7\,b^4\,c^4\,e^2-1280\,a^6\,b^6\,c^3\,e^2+240\,a^5\,b^8\,c^2\,e^2-24\,a^4\,b^{10}\,c\,e^2+a^3\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) - (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*1i - (-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) + (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*1i)/((-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) - (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))) + (-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) + (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))) + (5*b^3*c^4*e^10 - 36*a*b*c^5*e^10)/(4*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2))))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*2i + atan(((-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) - (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*1i - (-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) + (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*1i)/((-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) - (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))) + (-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*(((6144*a^5*c^6*e^12 + 16*a*b^8*c^2*e^12 - 288*a^2*b^6*c^3*e^12 + 1920*a^3*b^4*c^4*e^12 - 5632*a^4*b^2*c^5*e^12)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - ((16384*a^6*b*c^6*d*e^13 + 64*a^2*b^9*c^2*d*e^13 - 1024*a^3*b^7*c^3*d*e^13 + 6144*a^4*b^5*c^4*d*e^13 - 16384*a^5*b^3*c^5*d*e^13)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(1024*a^5*b*c^5*e^14 - 16*a^2*b^7*c^2*e^14 + 192*a^3*b^5*c^3*e^14 - 768*a^4*b^3*c^4*e^14))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2) + (1152*a^3*c^6*d*e^11 - 4*b^6*c^3*d*e^11 + 72*a*b^4*c^4*d*e^11 - 512*a^2*b^2*c^5*d*e^11)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(72*a^2*c^5*e^12 + b^4*c^3*e^12 - 14*a*b^2*c^4*e^12))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))) + (5*b^3*c^4*e^10 - 36*a*b*c^5*e^10)/(4*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2))))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12*e^2 + 4096*a^9*c^6*e^2 - 24*a^4*b^10*c*e^2 + 240*a^5*b^8*c^2*e^2 - 1280*a^6*b^6*c^3*e^2 + 3840*a^7*b^4*c^4*e^2 - 6144*a^8*b^2*c^5*e^2)))^(1/2)*2i - ((b^2*d - 2*a*c*d + b*c*d^3)/(2*a*e*(4*a*c - b^2)) + (x*(b^2 - 2*a*c + 3*b*c*d^2))/(2*a*(4*a*c - b^2)) + (b*c*e^2*x^3)/(2*a*(4*a*c - b^2)) + (3*b*c*d*e*x^2)/(2*a*(4*a*c - b^2)))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3)","B"
626,1,11072,162,11.353566,"\text{Not used}","int(1/((d + e*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","\frac{\frac{b^2+c\,b\,d^2-2\,a\,c}{2\,e\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{b\,c\,e\,x^2}{2\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{b\,c\,d\,x}{a\,b^2-4\,a^2\,c}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\frac{\ln\left(d+e\,x\right)}{a^2\,e}-\frac{\ln\left(\left(\frac{\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(\frac{\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(\frac{b\,c^2\,e^{16}\,\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2}+\frac{2\,b\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-10\,a\,b\,c-10\,a\,c^2\,d^2\right)}{a\,\left(4\,a\,c-b^2\right)}-\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a\,c-b^2\right)}{a\,\left(4\,a\,c-b^2\right)}-\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a\,c-b^2\right)}{a\,\left(4\,a\,c-b^2\right)}\right)}{4\,a^2\,e}-\frac{b\,c^3\,e^{15}\,\left(4\,b^3+6\,b^2\,c\,d^2-17\,a\,b\,c-20\,a\,c^2\,d^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,b\,c^4\,e^{17}\,x^2\,\left(10\,a\,c-3\,b^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,d\,e^{16}\,x\,\left(10\,a\,c-3\,b^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^2\,e}+\frac{b^3\,c^5\,e^{16}\,x^2}{a^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{b^2\,c^4\,e^{14}\,\left(b^2+c\,b\,d^2-4\,a\,c\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{2\,b^3\,c^5\,d\,e^{15}\,x}{a^3\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^3\,c^5\,e^{16}\,x^2}{a^3\,{\left(4\,a\,c-b^2\right)}^3}-\frac{\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(\frac{\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(\frac{b\,c^2\,e^{16}\,\left(a^2\,e\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2}-\frac{2\,b\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-10\,a\,b\,c-10\,a\,c^2\,d^2\right)}{a\,\left(4\,a\,c-b^2\right)}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a\,c-b^2\right)}{a\,\left(4\,a\,c-b^2\right)}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a\,c-b^2\right)}{a\,\left(4\,a\,c-b^2\right)}\right)}{4\,a^2\,e}-\frac{b\,c^3\,e^{15}\,\left(4\,b^3+6\,b^2\,c\,d^2-17\,a\,b\,c-20\,a\,c^2\,d^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,b\,c^4\,e^{17}\,x^2\,\left(10\,a\,c-3\,b^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,d\,e^{16}\,x\,\left(10\,a\,c-3\,b^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^2\,e}+\frac{b^2\,c^4\,e^{14}\,\left(b^2+c\,b\,d^2-4\,a\,c\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{2\,b^3\,c^5\,d\,e^{15}\,x}{a^3\,{\left(4\,a\,c-b^2\right)}^3}\right)\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}+\frac{b\,\mathrm{atan}\left(\frac{\left(16\,a^6\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(x^2\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{320\,a^5\,b\,c^6\,e^{18}-192\,a^4\,b^3\,c^5\,e^{18}+36\,a^3\,b^5\,c^4\,e^{18}-2\,a^2\,b^7\,c^3\,e^{18}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{8\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{80\,a^3\,b\,c^6\,e^{17}-44\,a^2\,b^3\,c^5\,e^{17}+6\,a\,b^5\,c^4\,e^{17}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(\frac{320\,a^5\,b\,c^6\,e^{18}-192\,a^4\,b^3\,c^5\,e^{18}+36\,a^3\,b^5\,c^4\,e^{18}-2\,a^2\,b^7\,c^3\,e^{18}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{64\,a^6\,e^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(\frac{\left(\frac{80\,a^3\,b\,c^6\,e^{17}-44\,a^2\,b^3\,c^5\,e^{17}+6\,a\,b^5\,c^4\,e^{17}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(\frac{320\,a^5\,b\,c^6\,e^{18}-192\,a^4\,b^3\,c^5\,e^{18}+36\,a^3\,b^5\,c^4\,e^{18}-2\,a^2\,b^7\,c^3\,e^{18}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}-\frac{b^3\,c^5\,e^{16}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{b\,\left(\frac{b\,\left(\frac{320\,a^5\,b\,c^6\,e^{18}-192\,a^4\,b^3\,c^5\,e^{18}+36\,a^3\,b^5\,c^4\,e^{18}-2\,a^2\,b^7\,c^3\,e^{18}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{8\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}-2688\,a^6\,b^3\,c^5\,e^{19}+1056\,a^5\,b^5\,c^4\,e^{19}-184\,a^4\,b^7\,c^3\,e^{19}+12\,a^3\,b^9\,c^2\,e^{19}\right)}{32\,a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)+x\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{2\,\left(320\,d\,a^5\,b\,c^6\,e^{17}-192\,d\,a^4\,b^3\,c^5\,e^{17}+36\,d\,a^3\,b^5\,c^4\,e^{17}-2\,d\,a^2\,b^7\,c^3\,e^{17}\right)}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,d\,a^7\,b\,c^6\,e^{18}-2688\,d\,a^6\,b^3\,c^5\,e^{18}+1056\,d\,a^5\,b^5\,c^4\,e^{18}-184\,d\,a^4\,b^7\,c^3\,e^{18}+12\,d\,a^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)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(2560\,d\,a^7\,b\,c^6\,e^{18}-2688\,d\,a^6\,b^3\,c^5\,e^{18}+1056\,d\,a^5\,b^5\,c^4\,e^{18}-184\,d\,a^4\,b^7\,c^3\,e^{18}+12\,d\,a^3\,b^9\,c^2\,e^{18}\right)}{16\,a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)+\frac{\left(\frac{b\,\left(\frac{68\,a^3\,b^2\,c^5\,e^{15}+80\,a^3\,b\,c^6\,d^2\,e^{15}-33\,a^2\,b^4\,c^4\,e^{15}-44\,a^2\,b^3\,c^5\,d^2\,e^{15}+4\,a\,b^6\,c^3\,e^{15}+6\,a\,b^5\,c^4\,d^2\,e^{15}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}-320\,a^5\,b\,c^6\,d^2\,e^{16}+224\,a^4\,b^4\,c^4\,e^{16}+192\,a^4\,b^3\,c^5\,d^2\,e^{16}-52\,a^3\,b^6\,c^3\,e^{16}-36\,a^3\,b^5\,c^4\,d^2\,e^{16}+4\,a^2\,b^8\,c^2\,e^{16}+2\,a^2\,b^7\,c^3\,d^2\,e^{16}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}-320\,a^5\,b\,c^6\,d^2\,e^{16}+224\,a^4\,b^4\,c^4\,e^{16}+192\,a^4\,b^3\,c^5\,d^2\,e^{16}-52\,a^3\,b^6\,c^3\,e^{16}-36\,a^3\,b^5\,c^4\,d^2\,e^{16}+4\,a^2\,b^8\,c^2\,e^{16}+2\,a^2\,b^7\,c^3\,d^2\,e^{16}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{8\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{64\,a^6\,e^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(\frac{\left(\frac{68\,a^3\,b^2\,c^5\,e^{15}+80\,a^3\,b\,c^6\,d^2\,e^{15}-33\,a^2\,b^4\,c^4\,e^{15}-44\,a^2\,b^3\,c^5\,d^2\,e^{15}+4\,a\,b^6\,c^3\,e^{15}+6\,a\,b^5\,c^4\,d^2\,e^{15}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}-320\,a^5\,b\,c^6\,d^2\,e^{16}+224\,a^4\,b^4\,c^4\,e^{16}+192\,a^4\,b^3\,c^5\,d^2\,e^{16}-52\,a^3\,b^6\,c^3\,e^{16}-36\,a^3\,b^5\,c^4\,d^2\,e^{16}+4\,a^2\,b^8\,c^2\,e^{16}+2\,a^2\,b^7\,c^3\,d^2\,e^{16}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}-\frac{b^4\,c^4\,e^{14}+b^3\,c^5\,d^2\,e^{14}-4\,a\,b^2\,c^5\,e^{14}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}-320\,a^5\,b\,c^6\,d^2\,e^{16}+224\,a^4\,b^4\,c^4\,e^{16}+192\,a^4\,b^3\,c^5\,d^2\,e^{16}-52\,a^3\,b^6\,c^3\,e^{16}-36\,a^3\,b^5\,c^4\,d^2\,e^{16}+4\,a^2\,b^8\,c^2\,e^{16}+2\,a^2\,b^7\,c^3\,d^2\,e^{16}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{8\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{4\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,e\,a^3\,c^3+96\,e\,a^2\,b^2\,c^2-24\,e\,a\,b^4\,c+2\,e\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}+2560\,a^7\,b\,c^6\,d^2\,e^{17}+192\,a^6\,b^4\,c^4\,e^{17}-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}-48\,a^5\,b^6\,c^3\,e^{17}+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}+4\,a^4\,b^8\,c^2\,e^{17}-184\,a^4\,b^7\,c^3\,d^2\,e^{17}+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\right)}{32\,a^4\,e^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3\,e^2+192\,a^4\,b^2\,c^2\,e^2-48\,a^3\,b^4\,c\,e^2+4\,a^2\,b^6\,e^2\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)}{36\,a^2\,b^2\,c^4\,e^{14}-12\,a\,b^4\,c^3\,e^{14}+b^6\,c^2\,e^{14}}\right)\,\left(6\,a\,c-b^2\right)}{2\,a^2\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((b^2 - 2*a*c + b*c*d^2)/(2*e*(a*b^2 - 4*a^2*c)) + (b*c*e*x^2)/(2*(a*b^2 - 4*a^2*c)) + (b*c*d*x)/(a*b^2 - 4*a^2*c))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + log(d + e*x)/(a^2*e) - (log((((a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) - 1)*(((a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) - 1)*((b*c^2*e^16*(a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) - 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^2 + (2*b*c^2*e^16*(2*b^3 - 10*a*c^2*d^2 + b^2*c*d^2 - 10*a*b*c))/(a*(4*a*c - b^2)) - (2*b*c^3*e^18*x^2*(10*a*c - b^2))/(a*(4*a*c - b^2)) - (4*b*c^3*d*e^17*x*(10*a*c - b^2))/(a*(4*a*c - b^2))))/(4*a^2*e) - (b*c^3*e^15*(4*b^3 - 20*a*c^2*d^2 + 6*b^2*c*d^2 - 17*a*b*c))/(a^2*(4*a*c - b^2)^2) + (2*b*c^4*e^17*x^2*(10*a*c - 3*b^2))/(a^2*(4*a*c - b^2)^2) + (4*b*c^4*d*e^16*x*(10*a*c - 3*b^2))/(a^2*(4*a*c - b^2)^2)))/(4*a^2*e) + (b^3*c^5*e^16*x^2)/(a^3*(4*a*c - b^2)^3) + (b^2*c^4*e^14*(b^2 - 4*a*c + b*c*d^2))/(a^3*(4*a*c - b^2)^3) + (2*b^3*c^5*d*e^15*x)/(a^3*(4*a*c - b^2)^3))*((b^3*c^5*e^16*x^2)/(a^3*(4*a*c - b^2)^3) - ((a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) + 1)*(((a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) + 1)*((b*c^2*e^16*(a^2*e*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*(4*a*c - b^2)^3))^(1/2) + 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^2 - (2*b*c^2*e^16*(2*b^3 - 10*a*c^2*d^2 + b^2*c*d^2 - 10*a*b*c))/(a*(4*a*c - b^2)) + (2*b*c^3*e^18*x^2*(10*a*c - b^2))/(a*(4*a*c - b^2)) + (4*b*c^3*d*e^17*x*(10*a*c - b^2))/(a*(4*a*c - b^2))))/(4*a^2*e) - (b*c^3*e^15*(4*b^3 - 20*a*c^2*d^2 + 6*b^2*c*d^2 - 17*a*b*c))/(a^2*(4*a*c - b^2)^2) + (2*b*c^4*e^17*x^2*(10*a*c - 3*b^2))/(a^2*(4*a*c - b^2)^2) + (4*b*c^4*d*e^16*x*(10*a*c - 3*b^2))/(a^2*(4*a*c - b^2)^2)))/(4*a^2*e) + (b^2*c^4*e^14*(b^2 - 4*a*c + b*c*d^2))/(a^3*(4*a*c - b^2)^3) + (2*b^3*c^5*d*e^15*x)/(a^3*(4*a*c - b^2)^3)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) + (b*atan(((16*a^6*b^6*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*(4*a*c - b^2)^(9/2))*(x^2*((((((b*((320*a^5*b*c^6*e^18 - 2*a^2*b^7*c^3*e^18 + 36*a^3*b^5*c^4*e^18 - 192*a^4*b^3*c^5*e^18)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(8*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) + (b*(6*a*c - b^2)*((6*a*b^5*c^4*e^17 + 80*a^3*b*c^6*e^17 - 44*a^2*b^3*c^5*e^17)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((320*a^5*b*c^6*e^18 - 2*a^2*b^7*c^3*e^18 + 36*a^3*b^5*c^4*e^18 - 192*a^4*b^3*c^5*e^18)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b^3*(6*a*c - b^2)^3*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(64*a^6*e^3*(4*a*c - b^2)^(9/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((6*a*b^5*c^4*e^17 + 80*a^3*b*c^6*e^17 - 44*a^2*b^3*c^5*e^17)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((320*a^5*b*c^6*e^18 - 2*a^2*b^7*c^3*e^18 + 36*a^3*b^5*c^4*e^18 - 192*a^4*b^3*c^5*e^18)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) - (b^3*c^5*e^16)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - (b*((b*((320*a^5*b*c^6*e^18 - 2*a^2*b^7*c^3*e^18 + 36*a^3*b^5*c^4*e^18 - 192*a^4*b^3*c^5*e^18)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(8*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*e^19 + 12*a^3*b^9*c^2*e^19 - 184*a^4*b^7*c^3*e^19 + 1056*a^5*b^5*c^4*e^19 - 2688*a^6*b^3*c^5*e^19))/(32*a^4*e^2*(4*a*c - b^2)^3*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c))) + x*((((((b*((2*(320*a^5*b*c^6*d*e^17 - 2*a^2*b^7*c^3*d*e^17 + 36*a^3*b^5*c^4*d*e^17 - 192*a^4*b^3*c^5*d*e^17))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/(4*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) + (b*(6*a*c - b^2)*((2*(6*a*b^5*c^4*d*e^16 + 80*a^3*b*c^6*d*e^16 - 44*a^2*b^3*c^5*d*e^16))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((2*(320*a^5*b*c^6*d*e^17 - 2*a^2*b^7*c^3*d*e^17 + 36*a^3*b^5*c^4*d*e^17 - 192*a^4*b^3*c^5*d*e^17))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b^3*(6*a*c - b^2)^3*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/(32*a^6*e^3*(4*a*c - b^2)^(9/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((2*(6*a*b^5*c^4*d*e^16 + 80*a^3*b*c^6*d*e^16 - 44*a^2*b^3*c^5*d*e^16))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((2*(320*a^5*b*c^6*d*e^17 - 2*a^2*b^7*c^3*d*e^17 + 36*a^3*b^5*c^4*d*e^17 - 192*a^4*b^3*c^5*d*e^17))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) - (2*b^3*c^5*d*e^15)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - (b*(6*a*c - b^2)*((b*((2*(320*a^5*b*c^6*d*e^17 - 2*a^2*b^7*c^3*d*e^17 + 36*a^3*b^5*c^4*d*e^17 - 192*a^4*b^3*c^5*d*e^17))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/(4*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(2560*a^7*b*c^6*d*e^18 + 12*a^3*b^9*c^2*d*e^18 - 184*a^4*b^7*c^3*d*e^18 + 1056*a^5*b^5*c^4*d*e^18 - 2688*a^6*b^3*c^5*d*e^18))/(16*a^4*e^2*(4*a*c - b^2)^3*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c))) + (((b*((4*a*b^6*c^3*e^15 - 33*a^2*b^4*c^4*e^15 + 68*a^3*b^2*c^5*e^15 - 44*a^2*b^3*c^5*d^2*e^15 + 6*a*b^5*c^4*d^2*e^15 + 80*a^3*b*c^6*d^2*e^15)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - (((4*a^2*b^8*c^2*e^16 - 52*a^3*b^6*c^3*e^16 + 224*a^4*b^4*c^4*e^16 - 320*a^5*b^2*c^5*e^16 + 2*a^2*b^7*c^3*d^2*e^16 - 36*a^3*b^5*c^4*d^2*e^16 + 192*a^4*b^3*c^5*d^2*e^16 - 320*a^5*b*c^6*d^2*e^16)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(6*a*c - b^2))/(4*a^2*e*(4*a*c - b^2)^(3/2)) - (((b*(6*a*c - b^2)*((4*a^2*b^8*c^2*e^16 - 52*a^3*b^6*c^3*e^16 + 224*a^4*b^4*c^4*e^16 - 320*a^5*b^2*c^5*e^16 + 2*a^2*b^7*c^3*d^2*e^16 - 36*a^3*b^5*c^4*d^2*e^16 + 192*a^4*b^3*c^5*d^2*e^16 - 320*a^5*b*c^6*d^2*e^16)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(8*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) + (b^3*(6*a*c - b^2)^3*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(64*a^6*e^3*(4*a*c - b^2)^(9/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((4*a*b^6*c^3*e^15 - 33*a^2*b^4*c^4*e^15 + 68*a^3*b^2*c^5*e^15 - 44*a^2*b^3*c^5*d^2*e^15 + 6*a*b^5*c^4*d^2*e^15 + 80*a^3*b*c^6*d^2*e^15)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - (((4*a^2*b^8*c^2*e^16 - 52*a^3*b^6*c^3*e^16 + 224*a^4*b^4*c^4*e^16 - 320*a^5*b^2*c^5*e^16 + 2*a^2*b^7*c^3*d^2*e^16 - 36*a^3*b^5*c^4*d^2*e^16 + 192*a^4*b^3*c^5*d^2*e^16 - 320*a^5*b*c^6*d^2*e^16)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)))*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e))/(2*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2)) - (b^4*c^4*e^14 - 4*a*b^2*c^5*e^14 + b^3*c^5*d^2*e^14)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (b*(6*a*c - b^2)*((b*(6*a*c - b^2)*((4*a^2*b^8*c^2*e^16 - 52*a^3*b^6*c^3*e^16 + 224*a^4*b^4*c^4*e^16 - 320*a^5*b^2*c^5*e^16 + 2*a^2*b^7*c^3*d^2*e^16 - 36*a^3*b^5*c^4*d^2*e^16 + 192*a^4*b^3*c^5*d^2*e^16 - 320*a^5*b*c^6*d^2*e^16)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + ((2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(8*a^2*e*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(4*a^2*e*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e - 128*a^3*c^3*e + 96*a^2*b^2*c^2*e - 24*a*b^4*c*e)*(4*a^4*b^8*c^2*e^17 - 48*a^5*b^6*c^3*e^17 + 192*a^6*b^4*c^4*e^17 - 256*a^7*b^2*c^5*e^17 + 12*a^3*b^9*c^2*d^2*e^17 - 184*a^4*b^7*c^3*d^2*e^17 + 1056*a^5*b^5*c^4*d^2*e^17 - 2688*a^6*b^3*c^5*d^2*e^17 + 2560*a^7*b*c^6*d^2*e^17))/(32*a^4*e^2*(4*a*c - b^2)^3*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6*e^2 - 256*a^5*c^3*e^2 - 48*a^3*b^4*c*e^2 + 192*a^4*b^2*c^2*e^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c))))/(b^6*c^2*e^14 - 12*a*b^4*c^3*e^14 + 36*a^2*b^2*c^4*e^14))*(6*a*c - b^2))/(2*a^2*e*(4*a*c - b^2)^(3/2))","B"
627,1,10556,348,6.383591,"\text{Not used}","int(1/((d + e*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","-\frac{\frac{x\,\left(3\,b^3\,d+6\,b^2\,c\,d^3-11\,a\,b\,c\,d-20\,a\,c^2\,d^3\right)}{a\,\left(a\,b^2-4\,a^2\,c\right)}-\frac{x^4\,\left(10\,a\,c^2\,e^3-3\,b^2\,c\,e^3\right)}{2\,a\,\left(a\,b^2-4\,a^2\,c\right)}-\frac{2\,x^3\,\left(10\,a\,c^2\,d\,e^2-3\,b^2\,c\,d\,e^2\right)}{a\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{-8\,a^2\,c+2\,a\,b^2-11\,a\,b\,c\,d^2-10\,a\,c^2\,d^4+3\,b^3\,d^2+3\,b^2\,c\,d^4}{2\,a\,e\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{x^2\,\left(3\,e\,b^3+18\,e\,b^2\,c\,d^2-11\,a\,e\,b\,c-60\,a\,e\,c^2\,d^2\right)}{2\,a\,\left(a\,b^2-4\,a^2\,c\right)}}{a\,d+x\,\left(5\,c\,e\,d^4+3\,b\,e\,d^2+a\,e\right)+x^3\,\left(10\,c\,d^2\,e^3+b\,e^3\right)+b\,d^3+c\,d^5+x^2\,\left(10\,c\,d^3\,e^2+3\,b\,d\,e^2\right)+c\,e^5\,x^5+5\,c\,d\,e^4\,x^4}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)-851968\,a^{14}\,b\,c^8\,e^{12}-192\,a^8\,b^{13}\,c^2\,e^{12}+4672\,a^9\,b^{11}\,c^3\,e^{12}-47360\,a^{10}\,b^9\,c^4\,e^{12}+256000\,a^{11}\,b^7\,c^5\,e^{12}-778240\,a^{12}\,b^5\,c^6\,e^{12}+1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)+851968\,a^{14}\,b\,c^8\,e^{12}+192\,a^8\,b^{13}\,c^2\,e^{12}-4672\,a^9\,b^{11}\,c^3\,e^{12}+47360\,a^{10}\,b^9\,c^4\,e^{12}-256000\,a^{11}\,b^7\,c^5\,e^{12}+778240\,a^{12}\,b^5\,c^6\,e^{12}-1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)+851968\,a^{14}\,b\,c^8\,e^{12}+192\,a^8\,b^{13}\,c^2\,e^{12}-4672\,a^9\,b^{11}\,c^3\,e^{12}+47360\,a^{10}\,b^9\,c^4\,e^{12}-256000\,a^{11}\,b^7\,c^5\,e^{12}+778240\,a^{12}\,b^5\,c^6\,e^{12}-1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)-\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)-851968\,a^{14}\,b\,c^8\,e^{12}-192\,a^8\,b^{13}\,c^2\,e^{12}+4672\,a^9\,b^{11}\,c^3\,e^{12}-47360\,a^{10}\,b^9\,c^4\,e^{12}+256000\,a^{11}\,b^7\,c^5\,e^{12}-778240\,a^{12}\,b^5\,c^6\,e^{12}+1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)+128000\,a^{10}\,c^9\,e^{10}+504\,a^6\,b^8\,c^5\,e^{10}-8112\,a^7\,b^6\,c^6\,e^{10}+48704\,a^8\,b^4\,c^7\,e^{10}-129280\,a^9\,b^2\,c^8\,e^{10}}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)-851968\,a^{14}\,b\,c^8\,e^{12}-192\,a^8\,b^{13}\,c^2\,e^{12}+4672\,a^9\,b^{11}\,c^3\,e^{12}-47360\,a^{10}\,b^9\,c^4\,e^{12}+256000\,a^{11}\,b^7\,c^5\,e^{12}-778240\,a^{12}\,b^5\,c^6\,e^{12}+1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)+851968\,a^{14}\,b\,c^8\,e^{12}+192\,a^8\,b^{13}\,c^2\,e^{12}-4672\,a^9\,b^{11}\,c^3\,e^{12}+47360\,a^{10}\,b^9\,c^4\,e^{12}-256000\,a^{11}\,b^7\,c^5\,e^{12}+778240\,a^{12}\,b^5\,c^6\,e^{12}-1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)+851968\,a^{14}\,b\,c^8\,e^{12}+192\,a^8\,b^{13}\,c^2\,e^{12}-4672\,a^9\,b^{11}\,c^3\,e^{12}+47360\,a^{10}\,b^9\,c^4\,e^{12}-256000\,a^{11}\,b^7\,c^5\,e^{12}+778240\,a^{12}\,b^5\,c^6\,e^{12}-1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)-\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(204800\,a^{12}\,c^9\,e^{12}-458752\,a^{11}\,b^2\,c^8\,e^{12}+365568\,a^{10}\,b^4\,c^7\,e^{12}-143360\,a^9\,b^6\,c^6\,e^{12}+30112\,a^8\,b^8\,c^5\,e^{12}-3264\,a^7\,b^{10}\,c^4\,e^{12}+144\,a^6\,b^{12}\,c^3\,e^{12}\right)+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}-1572864\,a^{15}\,b^3\,c^7\,e^{14}+983040\,a^{14}\,b^5\,c^6\,e^{14}-327680\,a^{13}\,b^7\,c^5\,e^{14}+61440\,a^{12}\,b^9\,c^4\,e^{14}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\right)-851968\,a^{14}\,b\,c^8\,e^{12}-192\,a^8\,b^{13}\,c^2\,e^{12}+4672\,a^9\,b^{11}\,c^3\,e^{12}-47360\,a^{10}\,b^9\,c^4\,e^{12}+256000\,a^{11}\,b^7\,c^5\,e^{12}-778240\,a^{12}\,b^5\,c^6\,e^{12}+1261568\,a^{13}\,b^3\,c^7\,e^{12}\right)+204800\,a^{12}\,c^9\,d\,e^{11}+144\,a^6\,b^{12}\,c^3\,d\,e^{11}-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}+30112\,a^8\,b^8\,c^5\,d\,e^{11}-143360\,a^9\,b^6\,c^6\,d\,e^{11}+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\right)+128000\,a^{10}\,c^9\,e^{10}+504\,a^6\,b^8\,c^5\,e^{10}-8112\,a^7\,b^6\,c^6\,e^{10}+48704\,a^8\,b^4\,c^7\,e^{10}-129280\,a^9\,b^2\,c^8\,e^{10}}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2-6144\,a^{10}\,b^2\,c^5\,e^2+3840\,a^9\,b^4\,c^4\,e^2-1280\,a^8\,b^6\,c^3\,e^2+240\,a^7\,b^8\,c^2\,e^2-24\,a^6\,b^{10}\,c\,e^2+a^5\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) - 851968*a^14*b*c^8*e^12 - 192*a^8*b^13*c^2*e^12 + 4672*a^9*b^11*c^3*e^12 - 47360*a^10*b^9*c^4*e^12 + 256000*a^11*b^7*c^5*e^12 - 778240*a^12*b^5*c^6*e^12 + 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11)*1i + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) + 851968*a^14*b*c^8*e^12 + 192*a^8*b^13*c^2*e^12 - 4672*a^9*b^11*c^3*e^12 + 47360*a^10*b^9*c^4*e^12 - 256000*a^11*b^7*c^5*e^12 + 778240*a^12*b^5*c^6*e^12 - 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11)*1i)/((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) + 851968*a^14*b*c^8*e^12 + 192*a^8*b^13*c^2*e^12 - 4672*a^9*b^11*c^3*e^12 + 47360*a^10*b^9*c^4*e^12 - 256000*a^11*b^7*c^5*e^12 + 778240*a^12*b^5*c^6*e^12 - 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11) - (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) - 851968*a^14*b*c^8*e^12 - 192*a^8*b^13*c^2*e^12 + 4672*a^9*b^11*c^3*e^12 - 47360*a^10*b^9*c^4*e^12 + 256000*a^11*b^7*c^5*e^12 - 778240*a^12*b^5*c^6*e^12 + 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11) + 128000*a^10*c^9*e^10 + 504*a^6*b^8*c^5*e^10 - 8112*a^7*b^6*c^6*e^10 + 48704*a^8*b^4*c^7*e^10 - 129280*a^9*b^2*c^8*e^10))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*2i - atan(((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) - 851968*a^14*b*c^8*e^12 - 192*a^8*b^13*c^2*e^12 + 4672*a^9*b^11*c^3*e^12 - 47360*a^10*b^9*c^4*e^12 + 256000*a^11*b^7*c^5*e^12 - 778240*a^12*b^5*c^6*e^12 + 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11)*1i + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) + 851968*a^14*b*c^8*e^12 + 192*a^8*b^13*c^2*e^12 - 4672*a^9*b^11*c^3*e^12 + 47360*a^10*b^9*c^4*e^12 - 256000*a^11*b^7*c^5*e^12 + 778240*a^12*b^5*c^6*e^12 - 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11)*1i)/((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) + 851968*a^14*b*c^8*e^12 + 192*a^8*b^13*c^2*e^12 - 4672*a^9*b^11*c^3*e^12 + 47360*a^10*b^9*c^4*e^12 - 256000*a^11*b^7*c^5*e^12 + 778240*a^12*b^5*c^6*e^12 - 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11) - (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(204800*a^12*c^9*e^12 + 144*a^6*b^12*c^3*e^12 - 3264*a^7*b^10*c^4*e^12 + 30112*a^8*b^8*c^5*e^12 - 143360*a^9*b^6*c^6*e^12 + 365568*a^10*b^4*c^7*e^12 - 458752*a^11*b^2*c^8*e^12) + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^16*b*c^8*e^14 + 256*a^10*b^13*c^2*e^14 - 6144*a^11*b^11*c^3*e^14 + 61440*a^12*b^9*c^4*e^14 - 327680*a^13*b^7*c^5*e^14 + 983040*a^14*b^5*c^6*e^14 - 1572864*a^15*b^3*c^7*e^14) + 1048576*a^16*b*c^8*d*e^13 + 256*a^10*b^13*c^2*d*e^13 - 6144*a^11*b^11*c^3*d*e^13 + 61440*a^12*b^9*c^4*d*e^13 - 327680*a^13*b^7*c^5*d*e^13 + 983040*a^14*b^5*c^6*d*e^13 - 1572864*a^15*b^3*c^7*d*e^13) - 851968*a^14*b*c^8*e^12 - 192*a^8*b^13*c^2*e^12 + 4672*a^9*b^11*c^3*e^12 - 47360*a^10*b^9*c^4*e^12 + 256000*a^11*b^7*c^5*e^12 - 778240*a^12*b^5*c^6*e^12 + 1261568*a^13*b^3*c^7*e^12) + 204800*a^12*c^9*d*e^11 + 144*a^6*b^12*c^3*d*e^11 - 3264*a^7*b^10*c^4*d*e^11 + 30112*a^8*b^8*c^5*d*e^11 - 143360*a^9*b^6*c^6*d*e^11 + 365568*a^10*b^4*c^7*d*e^11 - 458752*a^11*b^2*c^8*d*e^11) + 128000*a^10*c^9*e^10 + 504*a^6*b^8*c^5*e^10 - 8112*a^7*b^6*c^6*e^10 + 48704*a^8*b^4*c^7*e^10 - 129280*a^9*b^2*c^8*e^10))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2 + 4096*a^11*c^6*e^2 - 24*a^6*b^10*c*e^2 + 240*a^7*b^8*c^2*e^2 - 1280*a^8*b^6*c^3*e^2 + 3840*a^9*b^4*c^4*e^2 - 6144*a^10*b^2*c^5*e^2)))^(1/2)*2i - ((x*(3*b^3*d - 20*a*c^2*d^3 + 6*b^2*c*d^3 - 11*a*b*c*d))/(a*(a*b^2 - 4*a^2*c)) - (x^4*(10*a*c^2*e^3 - 3*b^2*c*e^3))/(2*a*(a*b^2 - 4*a^2*c)) - (2*x^3*(10*a*c^2*d*e^2 - 3*b^2*c*d*e^2))/(a*(a*b^2 - 4*a^2*c)) + (2*a*b^2 - 8*a^2*c + 3*b^3*d^2 - 10*a*c^2*d^4 + 3*b^2*c*d^4 - 11*a*b*c*d^2)/(2*a*e*(a*b^2 - 4*a^2*c)) + (x^2*(3*b^3*e - 60*a*c^2*d^2*e + 18*b^2*c*d^2*e - 11*a*b*c*e))/(2*a*(a*b^2 - 4*a^2*c)))/(a*d + x*(a*e + 3*b*d^2*e + 5*c*d^4*e) + x^3*(b*e^3 + 10*c*d^2*e^3) + b*d^3 + c*d^5 + x^2*(10*c*d^3*e^2 + 3*b*d*e^2) + c*e^5*x^5 + 5*c*d*e^4*x^4)","B"
628,1,12436,213,12.317310,"\text{Not used}","int(1/((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","\frac{\frac{x\,\left(2\,b^3\,d+4\,b^2\,c\,d^3-7\,a\,b\,c\,d-12\,a\,c^2\,d^3\right)}{4\,a^3\,c-a^2\,b^2}-\frac{x^4\,\left(3\,a\,c^2\,e^3-b^2\,c\,e^3\right)}{4\,a^3\,c-a^2\,b^2}-\frac{4\,x^3\,\left(3\,a\,c^2\,d\,e^2-b^2\,c\,d\,e^2\right)}{4\,a^3\,c-a^2\,b^2}+\frac{-4\,a^2\,c+a\,b^2-7\,a\,b\,c\,d^2-6\,a\,c^2\,d^4+2\,b^3\,d^2+2\,b^2\,c\,d^4}{2\,e\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^2\,\left(2\,e\,b^3+12\,e\,b^2\,c\,d^2-7\,a\,e\,b\,c-36\,a\,e\,c^2\,d^2\right)}{2\,\left(4\,a^3\,c-a^2\,b^2\right)}}{x^4\,\left(15\,c\,d^2\,e^4+b\,e^4\right)+a\,d^2+b\,d^4+c\,d^6+x\,\left(6\,c\,e\,d^5+4\,b\,e\,d^3+2\,a\,e\,d\right)+x^2\,\left(15\,c\,d^4\,e^2+6\,b\,d^2\,e^2+a\,e^2\right)+x^3\,\left(20\,c\,d^3\,e^3+4\,b\,d\,e^3\right)+c\,e^6\,x^6+6\,c\,d\,e^5\,x^5}+\frac{\ln\left(\left(\frac{\left(b+a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{\left(b+a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{4\,c^2\,e^{16}\,\left(6\,a^2\,b\,c^2-30\,a^2\,c^3\,d^2-10\,a\,b^3\,c+2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{4\,c^3\,e^{18}\,x^2\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,\left(4\,a\,c-b^2\right)}-\frac{2\,b\,c^2\,e^{16}\,\left(b+a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3}+\frac{8\,c^3\,d\,e^{17}\,x\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,\left(4\,a\,c-b^2\right)}\right)}{2\,a^3\,e}-\frac{4\,c^3\,e^{15}\,\left(3\,a\,c-b^2\right)\,\left(3\,a^2\,c^2-17\,a\,b^2\,c-23\,a\,b\,c^2\,d^2+4\,b^4+6\,b^3\,c\,d^2\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,e^{17}\,x^2\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{8\,b\,c^4\,d\,e^{16}\,x\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}\right)}{2\,a^3\,e}-\frac{8\,c^5\,e^{16}\,x^2\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^3}+\frac{8\,c^4\,e^{14}\,{\left(3\,a\,c-b^2\right)}^2\,\left(b^3+b^2\,c\,d^2-4\,a\,b\,c-3\,a\,c^2\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^3}-\frac{16\,c^5\,d\,e^{15}\,x\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{\left(b-a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{\left(b-a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{4\,c^2\,e^{16}\,\left(6\,a^2\,b\,c^2-30\,a^2\,c^3\,d^2-10\,a\,b^3\,c+2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{4\,c^3\,e^{18}\,x^2\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,\left(4\,a\,c-b^2\right)}-\frac{2\,b\,c^2\,e^{16}\,\left(b-a^3\,e\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3}+\frac{8\,c^3\,d\,e^{17}\,x\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,\left(4\,a\,c-b^2\right)}\right)}{2\,a^3\,e}-\frac{4\,c^3\,e^{15}\,\left(3\,a\,c-b^2\right)\,\left(3\,a^2\,c^2-17\,a\,b^2\,c-23\,a\,b\,c^2\,d^2+4\,b^4+6\,b^3\,c\,d^2\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,e^{17}\,x^2\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}+\frac{8\,b\,c^4\,d\,e^{16}\,x\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^2}\right)}{2\,a^3\,e}-\frac{8\,c^5\,e^{16}\,x^2\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^3}+\frac{8\,c^4\,e^{14}\,{\left(3\,a\,c-b^2\right)}^2\,\left(b^3+b^2\,c\,d^2-4\,a\,b\,c-3\,a\,c^2\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^3}-\frac{16\,c^5\,d\,e^{15}\,x\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^3}\right)\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}-\frac{2\,b\,\ln\left(d+e\,x\right)}{a^3\,e}-\frac{\mathrm{atan}\left(\frac{\left(2\,a^9\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-128\,a^{12}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-24\,a^{10}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+96\,a^{11}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(x\,\left(\frac{\left(\frac{8\,\left(54\,d\,a^3\,c^8\,e^{15}-54\,d\,a^2\,b^2\,c^7\,e^{15}+18\,d\,a\,b^4\,c^6\,e^{15}-2\,d\,b^6\,c^5\,e^{15}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{8\,\left(276\,d\,a^5\,b\,c^7\,e^{16}-233\,d\,a^4\,b^3\,c^6\,e^{16}+65\,d\,a^3\,b^5\,c^5\,e^{16}-6\,d\,a^2\,b^7\,c^4\,e^{16}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{8\,\left(480\,d\,a^8\,c^7\,e^{17}-272\,d\,a^7\,b^2\,c^6\,e^{17}+30\,d\,a^6\,b^4\,c^5\,e^{17}+6\,d\,a^5\,b^6\,c^4\,e^{17}-d\,a^4\,b^8\,c^3\,e^{17}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{4\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(480\,d\,a^8\,c^7\,e^{17}-272\,d\,a^7\,b^2\,c^6\,e^{17}+30\,d\,a^6\,b^4\,c^5\,e^{17}+6\,d\,a^5\,b^6\,c^4\,e^{17}-d\,a^4\,b^8\,c^3\,e^{17}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{4\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{2\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-3\,a^3\,c^3+36\,a^2\,b^2\,c^2-21\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}-\frac{b\,\left(\frac{\left(\frac{\left(\frac{8\,\left(480\,d\,a^8\,c^7\,e^{17}-272\,d\,a^7\,b^2\,c^6\,e^{17}+30\,d\,a^6\,b^4\,c^5\,e^{17}+6\,d\,a^5\,b^6\,c^4\,e^{17}-d\,a^4\,b^8\,c^3\,e^{17}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{4\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{2\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(640\,d\,a^{10}\,b\,c^6\,e^{18}-672\,d\,a^9\,b^3\,c^5\,e^{18}+264\,d\,a^8\,b^5\,c^4\,e^{18}-46\,d\,a^7\,b^7\,c^3\,e^{18}+3\,d\,a^6\,b^9\,c^2\,e^{18}\right)}{a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}-\frac{\left(\frac{8\,\left(276\,d\,a^5\,b\,c^7\,e^{16}-233\,d\,a^4\,b^3\,c^6\,e^{16}+65\,d\,a^3\,b^5\,c^5\,e^{16}-6\,d\,a^2\,b^7\,c^4\,e^{16}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{8\,\left(480\,d\,a^8\,c^7\,e^{17}-272\,d\,a^7\,b^2\,c^6\,e^{17}+30\,d\,a^6\,b^4\,c^5\,e^{17}+6\,d\,a^5\,b^6\,c^4\,e^{17}-d\,a^4\,b^8\,c^3\,e^{17}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{4\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\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e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-3\,a^3\,c^3+36\,a^2\,b^2\,c^2-21\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}-\frac{b\,\left(\frac{\left(\frac{4\,\left(36\,a^6\,c^7\,e^{15}-225\,a^5\,b^2\,c^6\,e^{15}-276\,a^5\,b\,c^7\,d^2\,e^{15}+170\,a^4\,b^4\,c^5\,e^{15}+233\,a^4\,b^3\,c^6\,d^2\,e^{15}-45\,a^3\,b^6\,c^4\,e^{15}-65\,a^3\,b^5\,c^5\,d^2\,e^{15}+4\,a^2\,b^8\,c^3\,e^{15}+6\,a^2\,b^7\,c^4\,d^2\,e^{15}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{4\,\left(96\,a^8\,b\,c^6\,e^{16}-480\,a^8\,c^7\,d^2\,e^{16}-208\,a^7\,b^3\,c^5\,e^{16}+272\,a^7\,b^2\,c^6\,d^2\,e^{16}+118\,a^6\,b^5\,c^4\,e^{16}-30\,a^6\,b^4\,c^5\,d^2\,e^{16}-26\,a^5\,b^7\,c^3\,e^{16}-6\,a^5\,b^6\,c^4\,d^2\,e^{16}+2\,a^4\,b^9\,c^2\,e^{16}+a^4\,b^8\,c^3\,d^2\,e^{16}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}+\frac{2\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{\left(\frac{4\,\left(96\,a^8\,b\,c^6\,e^{16}-480\,a^8\,c^7\,d^2\,e^{16}-208\,a^7\,b^3\,c^5\,e^{16}+272\,a^7\,b^2\,c^6\,d^2\,e^{16}+118\,a^6\,b^5\,c^4\,e^{16}-30\,a^6\,b^4\,c^5\,d^2\,e^{16}-26\,a^5\,b^7\,c^3\,e^{16}-6\,a^5\,b^6\,c^4\,d^2\,e^{16}+2\,a^4\,b^9\,c^2\,e^{16}+a^4\,b^8\,c^3\,d^2\,e^{16}\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}+\frac{2\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3+48\,e\,a^2\,b^3\,c^2-12\,e\,a\,b^5\,c+e\,b^7\right)}{2\,\left(-64\,a^6\,c^3\,e^2+48\,a^5\,b^2\,c^2\,e^2-12\,a^4\,b^4\,c\,e^2+a^3\,b^6\,e^2\right)}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^3\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}+640\,a^{10}\,b\,c^6\,d^2\,e^{17}+48\,a^9\,b^4\,c^4\,e^{17}-672\,a^9\,b^3\,c^5\,d^2\,e^{17}-12\,a^8\,b^6\,c^3\,e^{17}+264\,a^8\,b^5\,c^4\,d^2\,e^{17}+a^7\,b^8\,c^2\,e^{17}-46\,a^7\,b^7\,c^3\,d^2\,e^{17}+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\right)}{2\,a^9\,e^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-49\,a^3\,c^3+72\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}\right)}{36\,a^4\,c^6\,e^{14}-72\,a^3\,b^2\,c^5\,e^{14}+48\,a^2\,b^4\,c^4\,e^{14}-12\,a\,b^6\,c^3\,e^{14}+b^8\,c^2\,e^{14}}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{a^3\,e\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((x*(2*b^3*d - 12*a*c^2*d^3 + 4*b^2*c*d^3 - 7*a*b*c*d))/(4*a^3*c - a^2*b^2) - (x^4*(3*a*c^2*e^3 - b^2*c*e^3))/(4*a^3*c - a^2*b^2) - (4*x^3*(3*a*c^2*d*e^2 - b^2*c*d*e^2))/(4*a^3*c - a^2*b^2) + (a*b^2 - 4*a^2*c + 2*b^3*d^2 - 6*a*c^2*d^4 + 2*b^2*c*d^4 - 7*a*b*c*d^2)/(2*e*(4*a^3*c - a^2*b^2)) + (x^2*(2*b^3*e - 36*a*c^2*d^2*e + 12*b^2*c*d^2*e - 7*a*b*c*e))/(2*(4*a^3*c - a^2*b^2)))/(x^4*(b*e^4 + 15*c*d^2*e^4) + a*d^2 + b*d^4 + c*d^6 + x*(2*a*d*e + 4*b*d^3*e + 6*c*d^5*e) + x^2*(a*e^2 + 6*b*d^2*e^2 + 15*c*d^4*e^2) + x^3*(20*c*d^3*e^3 + 4*b*d*e^3) + c*e^6*x^6 + 6*c*d*e^5*x^5) + (log((((b + a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*(((b + a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*((4*c^2*e^16*(2*b^5 + 6*a^2*b*c^2 + b^4*c*d^2 - 30*a^2*c^3*d^2 - 10*a*b^3*c + 2*a*b^2*c^2*d^2))/(a^2*(4*a*c - b^2)) + (4*c^3*e^18*x^2*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*(4*a*c - b^2)) - (2*b*c^2*e^16*(b + a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^3 + (8*c^3*d*e^17*x*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*(4*a*c - b^2))))/(2*a^3*e) - (4*c^3*e^15*(3*a*c - b^2)*(4*b^4 + 3*a^2*c^2 + 6*b^3*c*d^2 - 17*a*b^2*c - 23*a*b*c^2*d^2))/(a^4*(4*a*c - b^2)^2) + (4*b*c^4*e^17*x^2*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*(4*a*c - b^2)^2) + (8*b*c^4*d*e^16*x*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*(4*a*c - b^2)^2)))/(2*a^3*e) - (8*c^5*e^16*x^2*(3*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^3) + (8*c^4*e^14*(3*a*c - b^2)^2*(b^3 - 3*a*c^2*d^2 + b^2*c*d^2 - 4*a*b*c))/(a^6*(4*a*c - b^2)^3) - (16*c^5*d*e^15*x*(3*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^3))*(((b - a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*(((b - a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*((4*c^2*e^16*(2*b^5 + 6*a^2*b*c^2 + b^4*c*d^2 - 30*a^2*c^3*d^2 - 10*a*b^3*c + 2*a*b^2*c^2*d^2))/(a^2*(4*a*c - b^2)) + (4*c^3*e^18*x^2*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*(4*a*c - b^2)) - (2*b*c^2*e^16*(b - a^3*e*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*(4*a*c - b^2)^3))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^3 + (8*c^3*d*e^17*x*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*(4*a*c - b^2))))/(2*a^3*e) - (4*c^3*e^15*(3*a*c - b^2)*(4*b^4 + 3*a^2*c^2 + 6*b^3*c*d^2 - 17*a*b^2*c - 23*a*b*c^2*d^2))/(a^4*(4*a*c - b^2)^2) + (4*b*c^4*e^17*x^2*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*(4*a*c - b^2)^2) + (8*b*c^4*d*e^16*x*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*(4*a*c - b^2)^2)))/(2*a^3*e) - (8*c^5*e^16*x^2*(3*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^3) + (8*c^4*e^14*(3*a*c - b^2)^2*(b^3 - 3*a*c^2*d^2 + b^2*c*d^2 - 4*a*b*c))/(a^6*(4*a*c - b^2)^3) - (16*c^5*d*e^15*x*(3*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^3)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (2*b*log(d + e*x))/(a^3*e) - (atan(((2*a^9*b^6*(4*a*c - b^2)^(9/2) - 128*a^12*c^3*(4*a*c - b^2)^(9/2) - 24*a^10*b^4*c*(4*a*c - b^2)^(9/2) + 96*a^11*b^2*c^2*(4*a*c - b^2)^(9/2))*(x*((((8*(54*a^3*c^8*d*e^15 - 2*b^6*c^5*d*e^15 + 18*a*b^4*c^6*d*e^15 - 54*a^2*b^2*c^7*d*e^15))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((8*(276*a^5*b*c^7*d*e^16 - 6*a^2*b^7*c^4*d*e^16 + 65*a^3*b^5*c^5*d*e^16 - 233*a^4*b^3*c^6*d*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((8*(480*a^8*c^7*d*e^17 - a^4*b^8*c^3*d*e^17 + 6*a^5*b^6*c^4*d*e^17 + 30*a^6*b^4*c^5*d*e^17 - 272*a^7*b^2*c^6*d*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (4*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (((((8*(480*a^8*c^7*d*e^17 - a^4*b^8*c^3*d*e^17 + 6*a^5*b^6*c^4*d*e^17 + 30*a^6*b^4*c^5*d*e^17 - 272*a^7*b^2*c^6*d*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (4*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) - (2*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/(a^6*e^2*(4*a*c - b^2)^3*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((((8*(480*a^8*c^7*d*e^17 - a^4*b^8*c^3*d*e^17 + 6*a^5*b^6*c^4*d*e^17 + 30*a^6*b^4*c^5*d*e^17 - 272*a^7*b^2*c^6*d*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (4*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) - (2*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (((8*(276*a^5*b*c^7*d*e^16 - 6*a^2*b^7*c^4*d*e^16 + 65*a^3*b^5*c^5*d*e^16 - 233*a^4*b^3*c^6*d*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((8*(480*a^8*c^7*d*e^17 - a^4*b^8*c^3*d*e^17 + 6*a^5*b^6*c^4*d*e^17 + 30*a^6*b^4*c^5*d*e^17 - 272*a^7*b^2*c^6*d*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (4*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(640*a^10*b*c^6*d*e^18 + 3*a^6*b^9*c^2*d*e^18 - 46*a^7*b^7*c^3*d*e^18 + 264*a^8*b^5*c^4*d*e^18 - 672*a^9*b^3*c^5*d*e^18))/(a^9*e^3*(4*a*c - b^2)^(9/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))) + x^2*((((4*(54*a^3*c^8*e^16 - 2*b^6*c^5*e^16 + 18*a*b^4*c^6*e^16 - 54*a^2*b^2*c^7*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(276*a^5*b*c^7*e^17 - 6*a^2*b^7*c^4*e^17 + 65*a^3*b^5*c^5*e^17 - 233*a^4*b^3*c^6*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(480*a^8*c^7*e^18 - a^4*b^8*c^3*e^18 + 6*a^5*b^6*c^4*e^18 + 30*a^6*b^4*c^5*e^18 - 272*a^7*b^2*c^6*e^18))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (((((4*(480*a^8*c^7*e^18 - a^4*b^8*c^3*e^18 + 6*a^5*b^6*c^4*e^18 + 30*a^6*b^4*c^5*e^18 - 272*a^7*b^2*c^6*e^18))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/(2*a^6*e^2*(4*a*c - b^2)^3*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((((4*(480*a^8*c^7*e^18 - a^4*b^8*c^3*e^18 + 6*a^5*b^6*c^4*e^18 + 30*a^6*b^4*c^5*e^18 - 272*a^7*b^2*c^6*e^18))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (((4*(276*a^5*b*c^7*e^17 - 6*a^2*b^7*c^4*e^17 + 65*a^3*b^5*c^5*e^17 - 233*a^4*b^3*c^6*e^17))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(480*a^8*c^7*e^18 - a^4*b^8*c^3*e^18 + 6*a^5*b^6*c^4*e^18 + 30*a^6*b^4*c^5*e^18 - 272*a^7*b^2*c^6*e^18))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(640*a^10*b*c^6*e^19 + 3*a^6*b^9*c^2*e^19 - 46*a^7*b^7*c^3*e^19 + 264*a^8*b^5*c^4*e^19 - 672*a^9*b^3*c^5*e^19))/(2*a^9*e^3*(4*a*c - b^2)^(9/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))) + (((((4*(36*a^6*c^7*e^15 + 4*a^2*b^8*c^3*e^15 - 45*a^3*b^6*c^4*e^15 + 170*a^4*b^4*c^5*e^15 - 225*a^5*b^2*c^6*e^15 + 6*a^2*b^7*c^4*d^2*e^15 - 65*a^3*b^5*c^5*d^2*e^15 + 233*a^4*b^3*c^6*d^2*e^15 - 276*a^5*b*c^7*d^2*e^15))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(96*a^8*b*c^6*e^16 + 2*a^4*b^9*c^2*e^16 - 26*a^5*b^7*c^3*e^16 + 118*a^6*b^5*c^4*e^16 - 208*a^7*b^3*c^5*e^16 - 480*a^8*c^7*d^2*e^16 + a^4*b^8*c^3*d^2*e^16 - 6*a^5*b^6*c^4*d^2*e^16 - 30*a^6*b^4*c^5*d^2*e^16 + 272*a^7*b^2*c^6*d^2*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) + (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) - (4*(2*b^7*c^4*e^14 - 20*a*b^5*c^5*e^14 - 72*a^3*b*c^7*e^14 + 66*a^2*b^3*c^6*e^14 - 54*a^3*c^8*d^2*e^14 + 2*b^6*c^5*d^2*e^14 + 54*a^2*b^2*c^7*d^2*e^14 - 18*a*b^4*c^6*d^2*e^14))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) + (((((4*(96*a^8*b*c^6*e^16 + 2*a^4*b^9*c^2*e^16 - 26*a^5*b^7*c^3*e^16 + 118*a^6*b^5*c^4*e^16 - 208*a^7*b^3*c^5*e^16 - 480*a^8*c^7*d^2*e^16 + a^4*b^8*c^3*d^2*e^16 - 6*a^5*b^6*c^4*d^2*e^16 - 30*a^6*b^4*c^5*d^2*e^16 + 272*a^7*b^2*c^6*d^2*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) + (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/(2*a^6*e^2*(4*a*c - b^2)^3*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((4*(36*a^6*c^7*e^15 + 4*a^2*b^8*c^3*e^15 - 45*a^3*b^6*c^4*e^15 + 170*a^4*b^4*c^5*e^15 - 225*a^5*b^2*c^6*e^15 + 6*a^2*b^7*c^4*d^2*e^15 - 65*a^3*b^5*c^5*d^2*e^15 + 233*a^4*b^3*c^6*d^2*e^15 - 276*a^5*b*c^7*d^2*e^15))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(96*a^8*b*c^6*e^16 + 2*a^4*b^9*c^2*e^16 - 26*a^5*b^7*c^3*e^16 + 118*a^6*b^5*c^4*e^16 - 208*a^7*b^3*c^5*e^16 - 480*a^8*c^7*d^2*e^16 + a^4*b^8*c^3*d^2*e^16 - 6*a^5*b^6*c^4*d^2*e^16 - 30*a^6*b^4*c^5*d^2*e^16 + 272*a^7*b^2*c^6*d^2*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) + (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) - (((((4*(96*a^8*b*c^6*e^16 + 2*a^4*b^9*c^2*e^16 - 26*a^5*b^7*c^3*e^16 + 118*a^6*b^5*c^4*e^16 - 208*a^7*b^3*c^5*e^16 - 480*a^8*c^7*d^2*e^16 + a^4*b^8*c^3*d^2*e^16 - 6*a^5*b^6*c^4*d^2*e^16 - 30*a^6*b^4*c^5*d^2*e^16 + 272*a^7*b^2*c^6*d^2*e^16))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) + (2*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/((a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e)*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/(a^3*e*(4*a*c - b^2)^(3/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)))*(b^7*e + 48*a^2*b^3*c^2*e - 12*a*b^5*c*e - 64*a^3*b*c^3*e))/(2*(a^3*b^6*e^2 - 64*a^6*c^3*e^2 - 12*a^4*b^4*c*e^2 + 48*a^5*b^2*c^2*e^2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(a^7*b^8*c^2*e^17 - 12*a^8*b^6*c^3*e^17 + 48*a^9*b^4*c^4*e^17 - 64*a^10*b^2*c^5*e^17 + 3*a^6*b^9*c^2*d^2*e^17 - 46*a^7*b^7*c^3*d^2*e^17 + 264*a^8*b^5*c^4*d^2*e^17 - 672*a^9*b^3*c^5*d^2*e^17 + 640*a^10*b*c^6*d^2*e^17))/(2*a^9*e^3*(4*a*c - b^2)^(9/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))))/(36*a^4*c^6*e^14 + b^8*c^2*e^14 - 12*a*b^6*c^3*e^14 + 48*a^2*b^4*c^4*e^14 - 72*a^3*b^2*c^5*e^14))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(a^3*e*(4*a*c - b^2)^(3/2))","B"
629,1,12239,408,8.724937,"\text{Not used}","int(1/((d + e*x)^4*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","-\frac{\frac{x^4\,\left(14\,a^2\,c^2\,e^3-62\,a\,b^2\,c\,e^3-855\,a\,b\,c^2\,d^2\,e^3+15\,b^4\,e^3+225\,b^3\,c\,d^2\,e^3\right)}{6\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{3\,x^5\,\left(5\,b^3\,c\,d\,e^4-19\,a\,b\,c^2\,d\,e^4\right)}{a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{2\,x^3\,\left(14\,a^2\,c^2\,d\,e^2-62\,a\,b^2\,c\,d\,e^2-285\,a\,b\,c^2\,d^3\,e^2+15\,b^4\,d\,e^2+75\,b^3\,c\,d^3\,e^2\right)}{3\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x\,\left(-40\,a^2\,b\,c\,d+28\,a^2\,c^2\,d^3+10\,a\,b^3\,d-124\,a\,b^2\,c\,d^3-171\,a\,b\,c^2\,d^5+30\,b^4\,d^3+45\,b^3\,c\,d^5\right)}{3\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^6\,\left(5\,b^3\,c\,e^5-19\,a\,b\,c^2\,e^5\right)}{2\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^2\,\left(-40\,e\,a^2\,b\,c+84\,e\,a^2\,c^2\,d^2+10\,e\,a\,b^3-372\,e\,a\,b^2\,c\,d^2-855\,e\,a\,b\,c^2\,d^4+90\,e\,b^4\,d^2+225\,e\,b^3\,c\,d^4\right)}{6\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{8\,a^3\,c-2\,a^2\,b^2-40\,a^2\,b\,c\,d^2+14\,a^2\,c^2\,d^4+10\,a\,b^3\,d^2-62\,a\,b^2\,c\,d^4-57\,a\,b\,c^2\,d^6+15\,b^4\,d^4+15\,b^3\,c\,d^6}{6\,a\,e\,\left(4\,a^3\,c-a^2\,b^2\right)}}{x^2\,\left(21\,c\,d^5\,e^2+10\,b\,d^3\,e^2+3\,a\,d\,e^2\right)+x^5\,\left(21\,c\,d^2\,e^5+b\,e^5\right)+a\,d^3+b\,d^5+c\,d^7+x^3\,\left(35\,c\,d^4\,e^3+10\,b\,d^2\,e^3+a\,e^3\right)+x^4\,\left(35\,c\,d^3\,e^4+5\,b\,d\,e^4\right)+x\,\left(7\,c\,e\,d^6+5\,b\,e\,d^4+3\,a\,e\,d^2\right)+c\,e^7\,x^7+7\,c\,d\,e^6\,x^6}+\mathrm{atan}\left(\frac{\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)-917504\,a^{19}\,c^9\,e^{12}+320\,a^{12}\,b^{14}\,c^2\,e^{12}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}-468480\,a^{15}\,b^8\,c^5\,e^{12}+1536000\,a^{16}\,b^6\,c^6\,e^{12}-2867200\,a^{17}\,b^4\,c^7\,e^{12}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)+917504\,a^{19}\,c^9\,e^{12}-320\,a^{12}\,b^{14}\,c^2\,e^{12}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}+468480\,a^{15}\,b^8\,c^5\,e^{12}-1536000\,a^{16}\,b^6\,c^6\,e^{12}+2867200\,a^{17}\,b^4\,c^7\,e^{12}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)-917504\,a^{19}\,c^9\,e^{12}+320\,a^{12}\,b^{14}\,c^2\,e^{12}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}-468480\,a^{15}\,b^8\,c^5\,e^{12}+1536000\,a^{16}\,b^6\,c^6\,e^{12}-2867200\,a^{17}\,b^4\,c^7\,e^{12}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)-\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)+917504\,a^{19}\,c^9\,e^{12}-320\,a^{12}\,b^{14}\,c^2\,e^{12}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}+468480\,a^{15}\,b^8\,c^5\,e^{12}-1536000\,a^{16}\,b^6\,c^6\,e^{12}+2867200\,a^{17}\,b^4\,c^7\,e^{12}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)+476672\,a^{13}\,b\,c^{10}\,e^{10}+1800\,a^9\,b^9\,c^6\,e^{10}-29080\,a^{10}\,b^7\,c^7\,e^{10}+176032\,a^{11}\,b^5\,c^8\,e^{10}-473216\,a^{12}\,b^3\,c^9\,e^{10}}\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)-917504\,a^{19}\,c^9\,e^{12}+320\,a^{12}\,b^{14}\,c^2\,e^{12}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}-468480\,a^{15}\,b^8\,c^5\,e^{12}+1536000\,a^{16}\,b^6\,c^6\,e^{12}-2867200\,a^{17}\,b^4\,c^7\,e^{12}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)+917504\,a^{19}\,c^9\,e^{12}-320\,a^{12}\,b^{14}\,c^2\,e^{12}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}+468480\,a^{15}\,b^8\,c^5\,e^{12}-1536000\,a^{16}\,b^6\,c^6\,e^{12}+2867200\,a^{17}\,b^4\,c^7\,e^{12}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)-917504\,a^{19}\,c^9\,e^{12}+320\,a^{12}\,b^{14}\,c^2\,e^{12}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}-468480\,a^{15}\,b^8\,c^5\,e^{12}+1536000\,a^{16}\,b^6\,c^6\,e^{12}-2867200\,a^{17}\,b^4\,c^7\,e^{12}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)-\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}-1572864\,a^{20}\,b^3\,c^7\,e^{14}+983040\,a^{19}\,b^5\,c^6\,e^{14}-327680\,a^{18}\,b^7\,c^5\,e^{14}+61440\,a^{17}\,b^9\,c^4\,e^{14}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\right)+917504\,a^{19}\,c^9\,e^{12}-320\,a^{12}\,b^{14}\,c^2\,e^{12}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}+468480\,a^{15}\,b^8\,c^5\,e^{12}-1536000\,a^{16}\,b^6\,c^6\,e^{12}+2867200\,a^{17}\,b^4\,c^7\,e^{12}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\right)+476672\,a^{13}\,b\,c^{10}\,e^{10}+1800\,a^9\,b^9\,c^6\,e^{10}-29080\,a^{10}\,b^7\,c^7\,e^{10}+176032\,a^{11}\,b^5\,c^8\,e^{10}-473216\,a^{12}\,b^3\,c^9\,e^{10}}\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2-6144\,a^{12}\,b^2\,c^5\,e^2+3840\,a^{11}\,b^4\,c^4\,e^2-1280\,a^{10}\,b^6\,c^3\,e^2+240\,a^9\,b^8\,c^2\,e^2-24\,a^8\,b^{10}\,c\,e^2+a^7\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) - 917504*a^19*c^9*e^12 + 320*a^12*b^14*c^2*e^12 - 7936*a^13*b^12*c^3*e^12 + 82816*a^14*b^10*c^4*e^12 - 468480*a^15*b^8*c^5*e^12 + 1536000*a^16*b^6*c^6*e^12 - 2867200*a^17*b^4*c^7*e^12 + 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11)*1i + (-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) + 917504*a^19*c^9*e^12 - 320*a^12*b^14*c^2*e^12 + 7936*a^13*b^12*c^3*e^12 - 82816*a^14*b^10*c^4*e^12 + 468480*a^15*b^8*c^5*e^12 - 1536000*a^16*b^6*c^6*e^12 + 2867200*a^17*b^4*c^7*e^12 - 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11)*1i)/((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) - 917504*a^19*c^9*e^12 + 320*a^12*b^14*c^2*e^12 - 7936*a^13*b^12*c^3*e^12 + 82816*a^14*b^10*c^4*e^12 - 468480*a^15*b^8*c^5*e^12 + 1536000*a^16*b^6*c^6*e^12 - 2867200*a^17*b^4*c^7*e^12 + 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11) - (-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) + 917504*a^19*c^9*e^12 - 320*a^12*b^14*c^2*e^12 + 7936*a^13*b^12*c^3*e^12 - 82816*a^14*b^10*c^4*e^12 + 468480*a^15*b^8*c^5*e^12 - 1536000*a^16*b^6*c^6*e^12 + 2867200*a^17*b^4*c^7*e^12 - 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11) + 476672*a^13*b*c^10*e^10 + 1800*a^9*b^9*c^6*e^10 - 29080*a^10*b^7*c^7*e^10 + 176032*a^11*b^5*c^8*e^10 - 473216*a^12*b^3*c^9*e^10))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*2i - ((x^4*(15*b^4*e^3 + 14*a^2*c^2*e^3 + 225*b^3*c*d^2*e^3 - 62*a*b^2*c*e^3 - 855*a*b*c^2*d^2*e^3))/(6*a*(4*a^3*c - a^2*b^2)) + (3*x^5*(5*b^3*c*d*e^4 - 19*a*b*c^2*d*e^4))/(a*(4*a^3*c - a^2*b^2)) + (2*x^3*(15*b^4*d*e^2 + 14*a^2*c^2*d*e^2 + 75*b^3*c*d^3*e^2 - 62*a*b^2*c*d*e^2 - 285*a*b*c^2*d^3*e^2))/(3*a*(4*a^3*c - a^2*b^2)) + (x*(30*b^4*d^3 + 45*b^3*c*d^5 + 28*a^2*c^2*d^3 + 10*a*b^3*d - 40*a^2*b*c*d - 124*a*b^2*c*d^3 - 171*a*b*c^2*d^5))/(3*a*(4*a^3*c - a^2*b^2)) + (x^6*(5*b^3*c*e^5 - 19*a*b*c^2*e^5))/(2*a*(4*a^3*c - a^2*b^2)) + (x^2*(90*b^4*d^2*e + 10*a*b^3*e + 84*a^2*c^2*d^2*e - 40*a^2*b*c*e + 225*b^3*c*d^4*e - 372*a*b^2*c*d^2*e - 855*a*b*c^2*d^4*e))/(6*a*(4*a^3*c - a^2*b^2)) + (8*a^3*c - 2*a^2*b^2 + 15*b^4*d^4 + 10*a*b^3*d^2 + 15*b^3*c*d^6 + 14*a^2*c^2*d^4 - 40*a^2*b*c*d^2 - 62*a*b^2*c*d^4 - 57*a*b*c^2*d^6)/(6*a*e*(4*a^3*c - a^2*b^2)))/(x^2*(10*b*d^3*e^2 + 21*c*d^5*e^2 + 3*a*d*e^2) + x^5*(b*e^5 + 21*c*d^2*e^5) + a*d^3 + b*d^5 + c*d^7 + x^3*(a*e^3 + 10*b*d^2*e^3 + 35*c*d^4*e^3) + x^4*(35*c*d^3*e^4 + 5*b*d*e^4) + x*(3*a*d^2*e + 5*b*d^4*e + 7*c*d^6*e) + c*e^7*x^7 + 7*c*d*e^6*x^6) + atan(((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) - 917504*a^19*c^9*e^12 + 320*a^12*b^14*c^2*e^12 - 7936*a^13*b^12*c^3*e^12 + 82816*a^14*b^10*c^4*e^12 - 468480*a^15*b^8*c^5*e^12 + 1536000*a^16*b^6*c^6*e^12 - 2867200*a^17*b^4*c^7*e^12 + 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11)*1i + (-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) + 917504*a^19*c^9*e^12 - 320*a^12*b^14*c^2*e^12 + 7936*a^13*b^12*c^3*e^12 - 82816*a^14*b^10*c^4*e^12 + 468480*a^15*b^8*c^5*e^12 - 1536000*a^16*b^6*c^6*e^12 + 2867200*a^17*b^4*c^7*e^12 - 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11)*1i)/((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) - 917504*a^19*c^9*e^12 + 320*a^12*b^14*c^2*e^12 - 7936*a^13*b^12*c^3*e^12 + 82816*a^14*b^10*c^4*e^12 - 468480*a^15*b^8*c^5*e^12 + 1536000*a^16*b^6*c^6*e^12 - 2867200*a^17*b^4*c^7*e^12 + 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11) - (-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*(x*(1048576*a^21*b*c^8*e^14 + 256*a^15*b^13*c^2*e^14 - 6144*a^16*b^11*c^3*e^14 + 61440*a^17*b^9*c^4*e^14 - 327680*a^18*b^7*c^5*e^14 + 983040*a^19*b^5*c^6*e^14 - 1572864*a^20*b^3*c^7*e^14) + 1048576*a^21*b*c^8*d*e^13 + 256*a^15*b^13*c^2*d*e^13 - 6144*a^16*b^11*c^3*d*e^13 + 61440*a^17*b^9*c^4*d*e^13 - 327680*a^18*b^7*c^5*d*e^13 + 983040*a^19*b^5*c^6*d*e^13 - 1572864*a^20*b^3*c^7*d*e^13) + 917504*a^19*c^9*e^12 - 320*a^12*b^14*c^2*e^12 + 7936*a^13*b^12*c^3*e^12 - 82816*a^14*b^10*c^4*e^12 + 468480*a^15*b^8*c^5*e^12 - 1536000*a^16*b^6*c^6*e^12 + 2867200*a^17*b^4*c^7*e^12 - 2719744*a^18*b^2*c^8*e^12) - x*(401408*a^16*c^10*e^12 - 400*a^9*b^14*c^3*e^12 + 9440*a^10*b^12*c^4*e^12 - 92816*a^11*b^10*c^5*e^12 + 488096*a^12*b^8*c^6*e^12 - 1458688*a^13*b^6*c^7*e^12 + 2401280*a^14*b^4*c^8*e^12 - 1871872*a^15*b^2*c^9*e^12) - 401408*a^16*c^10*d*e^11 + 400*a^9*b^14*c^3*d*e^11 - 9440*a^10*b^12*c^4*d*e^11 + 92816*a^11*b^10*c^5*d*e^11 - 488096*a^12*b^8*c^6*d*e^11 + 1458688*a^13*b^6*c^7*d*e^11 - 2401280*a^14*b^4*c^8*d*e^11 + 1871872*a^15*b^2*c^9*d*e^11) + 476672*a^13*b*c^10*e^10 + 1800*a^9*b^9*c^6*e^10 - 29080*a^10*b^7*c^7*e^10 + 176032*a^11*b^5*c^8*e^10 - 473216*a^12*b^3*c^9*e^10))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2 + 4096*a^13*c^6*e^2 - 24*a^8*b^10*c*e^2 + 240*a^9*b^8*c^2*e^2 - 1280*a^10*b^6*c^3*e^2 + 3840*a^11*b^4*c^4*e^2 - 6144*a^12*b^2*c^5*e^2)))^(1/2)*2i","B"
630,1,12677,341,7.018991,"\text{Not used}","int((d + e*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","-\frac{\frac{x^2\,\left(15\,e\,b^3\,d+190\,e\,b^2\,c\,d^3+252\,e\,b\,c^2\,d^5+48\,a\,e\,b\,c\,d-40\,a\,e\,c^2\,d^3\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^3\,\left(5\,b^3\,e^2+190\,b^2\,c\,d^2\,e^2+420\,b\,c^2\,d^4\,e^2+16\,a\,b\,c\,e^2-40\,a\,c^2\,d^2\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{5\,x^4\,\left(19\,b^2\,c\,d\,e^3+84\,b\,c^2\,d^3\,e^3-4\,a\,c^2\,d\,e^3\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^5\,\left(19\,b^2\,c\,e^4+252\,b\,c^2\,d^2\,e^4-4\,a\,c^2\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(12\,a^2\,c+3\,a\,b^2+48\,a\,b\,c\,d^2-20\,a\,c^2\,d^4+15\,b^3\,d^2+95\,b^2\,c\,d^4+84\,b\,c^2\,d^6\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{12\,a^2\,c\,d+3\,a\,b^2\,d+16\,a\,b\,c\,d^3-4\,a\,c^2\,d^5+5\,b^3\,d^3+19\,b^2\,c\,d^5+12\,b\,c^2\,d^7}{8\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,b\,c^2\,e^6\,x^7}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{21\,b\,c^2\,d\,e^5\,x^6}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\mathrm{atan}\left(\frac{\left(\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}+\left(\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}}{\frac{432\,a^2\,b\,c^5\,e^{10}+1080\,a\,b^3\,c^4\,e^{10}+135\,b^5\,c^3\,e^{10}}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}+81920\,a^7\,b\,c^7+560\,a^2\,b^{11}\,c^2-4160\,a^3\,b^9\,c^3+11520\,a^4\,b^7\,c^4+1024\,a^5\,b^5\,c^5-61440\,a^6\,b^3\,c^6-20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\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\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}+\left(\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}}{\frac{432\,a^2\,b\,c^5\,e^{10}+1080\,a\,b^3\,c^4\,e^{10}+135\,b^5\,c^3\,e^{10}}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\left(\frac{18432\,d\,a^4\,c^7\,e^{11}+11520\,d\,a^2\,b^4\,c^5\,e^{11}-6912\,d\,a\,b^6\,c^4\,e^{11}+936\,d\,b^8\,c^3\,e^{11}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{786432\,a^6\,c^8\,e^{12}-786432\,a^5\,b^2\,c^7\,e^{12}+245760\,a^4\,b^4\,c^6\,e^{12}-15360\,a^2\,b^8\,c^4\,e^{12}+3072\,a\,b^{10}\,c^3\,e^{12}-192\,b^{12}\,c^2\,e^{12}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}+72\,a\,b^2\,c^4\,e^{12}+117\,b^4\,c^3\,e^{12}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}}\right)\,\sqrt{-\frac{9\,\left(b^{15}+\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7-560\,a^2\,b^{11}\,c^2+4160\,a^3\,b^9\,c^3-11520\,a^4\,b^7\,c^4-1024\,a^5\,b^5\,c^5+61440\,a^6\,b^3\,c^6+20\,a\,b^{13}\,c\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*1i + ((18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*1i)/((135*b^5*c^3*e^10 + 1080*a*b^3*c^4*e^10 + 432*a^2*b*c^5*e^10)/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + ((18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)))*((9*((-(4*a*c - b^2)^15)^(1/2) - b^15 + 81920*a^7*b*c^7 + 560*a^2*b^11*c^2 - 4160*a^3*b^9*c^3 + 11520*a^4*b^7*c^4 + 1024*a^5*b^5*c^5 - 61440*a^6*b^3*c^6 - 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*2i + atan(((((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*1i + ((18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*1i)/((135*b^5*c^3*e^10 + 1080*a*b^3*c^4*e^10 + 432*a^2*b*c^5*e^10)/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + ((18432*a^4*c^7*d*e^11 + 936*b^8*c^3*d*e^11 - 6912*a*b^6*c^4*d*e^11 + 11520*a^2*b^4*c^5*d*e^11)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((786432*a^6*c^8*e^12 - 192*b^12*c^2*e^12 + 3072*a*b^10*c^3*e^12 - 15360*a^2*b^8*c^4*e^12 + 245760*a^4*b^4*c^6*e^12 - 786432*a^5*b^2*c^7*e^12)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - ((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (x*(144*a^2*c^5*e^12 + 117*b^4*c^3*e^12 + 72*a*b^2*c^4*e^12))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)))*(-(9*(b^15 + (-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7 - 560*a^2*b^11*c^2 + 4160*a^3*b^9*c^3 - 11520*a^4*b^7*c^4 - 1024*a^5*b^5*c^5 + 61440*a^6*b^3*c^6 + 20*a*b^13*c))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*2i - ((x^2*(15*b^3*d*e - 40*a*c^2*d^3*e + 190*b^2*c*d^3*e + 252*b*c^2*d^5*e + 48*a*b*c*d*e))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^3*(5*b^3*e^2 - 40*a*c^2*d^2*e^2 + 190*b^2*c*d^2*e^2 + 420*b*c^2*d^4*e^2 + 16*a*b*c*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*x^4*(84*b*c^2*d^3*e^3 - 4*a*c^2*d*e^3 + 19*b^2*c*d*e^3))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^5*(19*b^2*c*e^4 - 4*a*c^2*e^4 + 252*b*c^2*d^2*e^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(3*a*b^2 + 12*a^2*c + 15*b^3*d^2 - 20*a*c^2*d^4 + 95*b^2*c*d^4 + 84*b*c^2*d^6 + 48*a*b*c*d^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*b^3*d^3 - 4*a*c^2*d^5 + 19*b^2*c*d^5 + 12*b*c^2*d^7 + 3*a*b^2*d + 12*a^2*c*d + 16*a*b*c*d^3)/(8*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*b*c^2*e^6*x^7)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (21*b*c^2*d*e^5*x^6)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7)","B"
631,1,1182,150,3.854598,"\text{Not used}","int((d + e*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","-\frac{\frac{9\,x^4\,\left(b^2\,c\,e^3+10\,b\,c^2\,d^2\,e^3\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{8\,a^2\,c+a\,b^2+10\,a\,b\,c\,d^2+2\,b^3\,d^2+9\,b^2\,c\,d^4+6\,b\,c^2\,d^6}{4\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(e\,b^3+27\,e\,b^2\,c\,d^2+45\,e\,b\,c^2\,d^4+5\,a\,e\,b\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,d\,x^3\,\left(3\,b^2\,c\,e^2+10\,b\,c^2\,d^2\,e^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{d\,x\,\left(b^3+9\,b^2\,c\,d^2+9\,b\,c^2\,d^4+5\,a\,b\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,b\,c^2\,e^5\,x^6}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b\,c^2\,d\,e^4\,x^5}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}-\frac{3\,b\,c\,\mathrm{atan}\left(\frac{\left(b^4\,{\left(4\,a\,c-b^2\right)}^5+16\,a^2\,c^2\,{\left(4\,a\,c-b^2\right)}^5-8\,a\,b^2\,c\,{\left(4\,a\,c-b^2\right)}^5\right)\,\left(x^2\,\left(\frac{9\,b^2\,c^4\,e^8}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^3\,c^2\,\left(32\,a^2\,b\,c^4\,e^{10}-16\,a\,b^3\,c^3\,e^{10}+2\,b^5\,c^2\,e^{10}\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+x\,\left(\frac{18\,b^2\,c^4\,d\,e^7}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^3\,c^2\,\left(32\,d\,a^2\,b\,c^4\,e^9-16\,d\,a\,b^3\,c^3\,e^9+2\,d\,b^5\,c^2\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+\frac{9\,b^3\,c^2\,\left(64\,a^3\,c^4\,e^8-32\,a^2\,b^2\,c^3\,e^8+32\,a^2\,b\,c^4\,d^2\,e^8+4\,a\,b^4\,c^2\,e^8-16\,a\,b^3\,c^3\,d^2\,e^8+2\,b^5\,c^2\,d^2\,e^8\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^2\,c^4\,d^2\,e^6}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)}{18\,b^2\,c^4\,e^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"- ((9*x^4*(b^2*c*e^3 + 10*b*c^2*d^2*e^3))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a*b^2 + 8*a^2*c + 2*b^3*d^2 + 9*b^2*c*d^4 + 6*b*c^2*d^6 + 10*a*b*c*d^2)/(4*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(b^3*e + 27*b^2*c*d^2*e + 45*b*c^2*d^4*e + 5*a*b*c*e))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*d*x^3*(3*b^2*c*e^2 + 10*b*c^2*d^2*e^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (d*x*(b^3 + 9*b^2*c*d^2 + 9*b*c^2*d^4 + 5*a*b*c))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*b*c^2*e^5*x^6)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b*c^2*d*e^4*x^5)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) - (3*b*c*atan(((b^4*(4*a*c - b^2)^5 + 16*a^2*c^2*(4*a*c - b^2)^5 - 8*a*b^2*c*(4*a*c - b^2)^5)*(x^2*((9*b^2*c^4*e^8)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^3*c^2*(2*b^5*c^2*e^10 - 16*a*b^3*c^3*e^10 + 32*a^2*b*c^4*e^10))/(2*a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + x*((18*b^2*c^4*d*e^7)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^3*c^2*(2*b^5*c^2*d*e^9 - 16*a*b^3*c^3*d*e^9 + 32*a^2*b*c^4*d*e^9))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + (9*b^3*c^2*(64*a^3*c^4*e^8 + 4*a*b^4*c^2*e^8 - 32*a^2*b^2*c^3*e^8 + 2*b^5*c^2*d^2*e^8 - 16*a*b^3*c^3*d^2*e^8 + 32*a^2*b*c^4*d^2*e^8))/(2*a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^2*c^4*d^2*e^6)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))/(18*b^2*c^4*e^6)))/(e*(4*a*c - b^2)^(5/2))","B"
632,1,14584,363,7.428875,"\text{Not used}","int((d + e*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{\frac{x^5\,\left(2\,b^3\,c\,e^4+21\,b^2\,c^2\,d^2\,e^4+28\,a\,b\,c^2\,e^4+420\,a\,c^3\,d^2\,e^4\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(108\,e\,a^2\,c^2\,d+15\,e\,a\,b^2\,c\,d+280\,e\,a\,b\,c^2\,d^3+420\,e\,a\,c^3\,d^5+3\,e\,b^4\,d+20\,e\,b^3\,c\,d^3+21\,e\,b^2\,c^2\,d^5\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{7\,x^6\,\left(d\,b^2\,c^2\,e^5+20\,a\,d\,c^3\,e^5\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^7\,\left(b^2\,c^2\,e^6+20\,a\,c^3\,e^6\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(16\,a^2\,b\,c+108\,a^2\,c^2\,d^2-a\,b^3+15\,a\,b^2\,c\,d^2+140\,a\,b\,c^2\,d^4+140\,a\,c^3\,d^6+3\,b^4\,d^2+10\,b^3\,c\,d^4+7\,b^2\,c^2\,d^6\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^3\,\left(36\,a^2\,c^2\,e^2+5\,a\,b^2\,c\,e^2+280\,a\,b\,c^2\,d^2\,e^2+700\,a\,c^3\,d^4\,e^2+b^4\,e^2+20\,b^3\,c\,d^2\,e^2+35\,b^2\,c^2\,d^4\,e^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{16\,a^2\,b\,c\,d+36\,a^2\,c^2\,d^3-a\,b^3\,d+5\,a\,b^2\,c\,d^3+28\,a\,b\,c^2\,d^5+20\,a\,c^3\,d^7+b^4\,d^3+2\,b^3\,c\,d^5+b^2\,c^2\,d^7}{8\,a\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{5\,x^4\,\left(2\,b^3\,c\,d\,e^3+7\,b^2\,c^2\,d^3\,e^3+28\,a\,b\,c^2\,d\,e^3+140\,a\,c^3\,d^3\,e^3\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\mathrm{atan}\left(\frac{\left(\left(\frac{4194304\,a^7\,b\,c^8\,e^{12}-5505024\,a^6\,b^3\,c^7\,e^{12}+2949120\,a^5\,b^5\,c^6\,e^{12}-819200\,a^4\,b^7\,c^5\,e^{12}+122880\,a^3\,b^9\,c^4\,e^{12}-9216\,a^2\,b^{11}\,c^3\,e^{12}+256\,a\,b^{13}\,c^2\,e^{12}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c-25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{17}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c-25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}-479232\,d\,a^4\,b^2\,c^7\,e^{11}+209920\,d\,a^3\,b^4\,c^6\,e^{11}-28160\,d\,a^2\,b^6\,c^5\,e^{11}+672\,d\,a\,b^8\,c^4\,e^{11}-16\,d\,b^{10}\,c^3\,e^{11}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}-1472\,a^2\,b^2\,c^5\,e^{12}+34\,a\,b^4\,c^4\,e^{12}-b^6\,c^3\,e^{12}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880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{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}-479232\,d\,a^4\,b^2\,c^7\,e^{11}+209920\,d\,a^3\,b^4\,c^6\,e^{11}-28160\,d\,a^2\,b^6\,c^5\,e^{11}+672\,d\,a\,b^8\,c^4\,e^{11}-16\,d\,b^{10}\,c^3\,e^{11}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}-1472\,a^2\,b^2\,c^5\,e^{12}+34\,a\,b^4\,c^4\,e^{12}-b^6\,c^3\,e^{12}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\left(\frac{204800\,d\,a^5\,c^8\,e^{11}-479232\,d\,a^4\,b^2\,c^7\,e^{11}+209920\,d\,a^3\,b^4\,c^6\,e^{11}-28160\,d\,a^2\,b^6\,c^5\,e^{11}+672\,d\,a\,b^8\,c^4\,e^{11}-16\,d\,b^{10}\,c^3\,e^{11}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}-\left(\frac{4194304\,a^7\,b\,c^8\,e^{12}-5505024\,a^6\,b^3\,c^7\,e^{12}+2949120\,a^5\,b^5\,c^6\,e^{12}-819200\,a^4\,b^7\,c^5\,e^{12}+122880\,a^3\,b^9\,c^4\,e^{12}-9216\,a^2\,b^{11}\,c^3\,e^{12}+256\,a\,b^{13}\,c^2\,e^{12}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}-\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}-1472\,a^2\,b^2\,c^5\,e^{12}+34\,a\,b^4\,c^4\,e^{12}-b^6\,c^3\,e^{12}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}}\right)\,\sqrt{-\frac{b^{17}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8+1140\,a^2\,b^{13}\,c^2-10160\,a^3\,b^{11}\,c^3+34880\,a^4\,b^9\,c^4+43776\,a^5\,b^7\,c^5-680960\,a^6\,b^5\,c^6+1863680\,a^7\,b^3\,c^7-55\,a\,b^{15}\,c+25\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"((x^5*(2*b^3*c*e^4 + 420*a*c^3*d^2*e^4 + 21*b^2*c^2*d^2*e^4 + 28*a*b*c^2*e^4))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(3*b^4*d*e + 21*b^2*c^2*d^5*e + 108*a^2*c^2*d*e + 420*a*c^3*d^5*e + 20*b^3*c*d^3*e + 280*a*b*c^2*d^3*e + 15*a*b^2*c*d*e))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (7*x^6*(b^2*c^2*d*e^5 + 20*a*c^3*d*e^5))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^7*(20*a*c^3*e^6 + b^2*c^2*e^6))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(3*b^4*d^2 - a*b^3 + 140*a*c^3*d^6 + 10*b^3*c*d^4 + 108*a^2*c^2*d^2 + 7*b^2*c^2*d^6 + 16*a^2*b*c + 15*a*b^2*c*d^2 + 140*a*b*c^2*d^4))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^3*(b^4*e^2 + 36*a^2*c^2*e^2 + 700*a*c^3*d^4*e^2 + 20*b^3*c*d^2*e^2 + 35*b^2*c^2*d^4*e^2 + 5*a*b^2*c*e^2 + 280*a*b*c^2*d^2*e^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (b^4*d^3 + 20*a*c^3*d^7 + 2*b^3*c*d^5 + 36*a^2*c^2*d^3 + b^2*c^2*d^7 - a*b^3*d + 16*a^2*b*c*d + 5*a*b^2*c*d^3 + 28*a*b*c^2*d^5)/(8*a*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*x^4*(140*a*c^3*d^3*e^3 + 7*b^2*c^2*d^3*e^3 + 2*b^3*c*d*e^3 + 28*a*b*c^2*d*e^3))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) + atan(((((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i + ((204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i)/((8000*a^3*c^7*e^10 - 35*b^6*c^4*e^10 - 84*a*b^4*c^5*e^10 + 12720*a^2*b^2*c^6*e^10)/(256*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + ((204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)))*(-(b^17 + b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c - 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*2i + atan(((((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i + ((204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i)/((8000*a^3*c^7*e^10 - 35*b^6*c^4*e^10 - 84*a*b^4*c^5*e^10 + 12720*a^2*b^2*c^6*e^10)/(256*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + ((204800*a^5*c^8*d*e^11 - 16*b^10*c^3*d*e^11 + 672*a*b^8*c^4*d*e^11 - 28160*a^2*b^6*c^5*d*e^11 + 209920*a^3*b^4*c^6*d*e^11 - 479232*a^4*b^2*c^7*d*e^11)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((256*a*b^13*c^2*e^12 + 4194304*a^7*b*c^8*e^12 - 9216*a^2*b^11*c^3*e^12 + 122880*a^3*b^9*c^4*e^12 - 819200*a^4*b^7*c^5*e^12 + 2949120*a^5*b^5*c^6*e^12 - 5505024*a^6*b^3*c^7*e^12)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - ((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (x*(800*a^3*c^6*e^12 - b^6*c^3*e^12 + 34*a*b^4*c^4*e^12 - 1472*a^2*b^2*c^5*e^12))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)))*(-(b^17 - b^2*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8 + 1140*a^2*b^13*c^2 - 10160*a^3*b^11*c^3 + 34880*a^4*b^9*c^4 + 43776*a^5*b^7*c^5 - 680960*a^6*b^5*c^6 + 1863680*a^7*b^3*c^7 - 55*a*b^15*c + 25*a*c*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*2i","B"
633,1,1157,152,3.802380,"\text{Not used}","int((d + e*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{\frac{-b^3+4\,b^2\,c\,d^2+18\,b\,c^2\,d^4+10\,a\,b\,c+12\,c^3\,d^6+20\,a\,c^2\,d^2}{4\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(e\,b^2\,c+27\,e\,b\,c^2\,d^2+45\,e\,c^3\,d^4+5\,a\,e\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{9\,x^4\,\left(10\,c^3\,d^2\,e^3+b\,c^2\,e^3\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,c^3\,e^5\,x^6}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{2\,d\,x\,\left(b^2\,c+9\,b\,c^2\,d^2+9\,c^3\,d^4+5\,a\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{6\,d\,x^3\,\left(10\,c^3\,d^2\,e^2+3\,b\,c^2\,e^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{18\,c^3\,d\,e^4\,x^5}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\frac{6\,c^2\,\mathrm{atan}\left(\frac{\left(b^4\,{\left(4\,a\,c-b^2\right)}^5+16\,a^2\,c^2\,{\left(4\,a\,c-b^2\right)}^5-8\,a\,b^2\,c\,{\left(4\,a\,c-b^2\right)}^5\right)\,\left(x\,\left(\frac{72\,c^6\,d\,e^7}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{72\,b\,c^4\,\left(16\,d\,a^2\,b\,c^4\,e^9-8\,d\,a\,b^3\,c^3\,e^9+d\,b^5\,c^2\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+x^2\,\left(\frac{36\,c^6\,e^8}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{36\,b\,c^4\,\left(16\,a^2\,b\,c^4\,e^{10}-8\,a\,b^3\,c^3\,e^{10}+b^5\,c^2\,e^{10}\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+\frac{36\,c^6\,d^2\,e^6}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{36\,b\,c^4\,\left(32\,a^3\,c^4\,e^8-16\,a^2\,b^2\,c^3\,e^8+16\,a^2\,b\,c^4\,d^2\,e^8+2\,a\,b^4\,c^2\,e^8-8\,a\,b^3\,c^3\,d^2\,e^8+b^5\,c^2\,d^2\,e^8\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)}{72\,c^6\,e^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((12*c^3*d^6 - b^3 + 20*a*c^2*d^2 + 4*b^2*c*d^2 + 18*b*c^2*d^4 + 10*a*b*c)/(4*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(45*c^3*d^4*e + 5*a*c^2*e + b^2*c*e + 27*b*c^2*d^2*e))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (9*x^4*(b*c^2*e^3 + 10*c^3*d^2*e^3))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*c^3*e^5*x^6)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (2*d*x*(5*a*c^2 + b^2*c + 9*c^3*d^4 + 9*b*c^2*d^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (6*d*x^3*(3*b*c^2*e^2 + 10*c^3*d^2*e^2))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (18*c^3*d*e^4*x^5)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) + (6*c^2*atan(((b^4*(4*a*c - b^2)^5 + 16*a^2*c^2*(4*a*c - b^2)^5 - 8*a*b^2*c*(4*a*c - b^2)^5)*(x*((72*c^6*d*e^7)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (72*b*c^4*(b^5*c^2*d*e^9 - 8*a*b^3*c^3*d*e^9 + 16*a^2*b*c^4*d*e^9))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + x^2*((36*c^6*e^8)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (36*b*c^4*(b^5*c^2*e^10 - 8*a*b^3*c^3*e^10 + 16*a^2*b*c^4*e^10))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + (36*c^6*d^2*e^6)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (36*b*c^4*(32*a^3*c^4*e^8 + 2*a*b^4*c^2*e^8 - 16*a^2*b^2*c^3*e^8 + b^5*c^2*d^2*e^8 - 8*a*b^3*c^3*d^2*e^8 + 16*a^2*b*c^4*d^2*e^8))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))/(72*c^6*e^6)))/(e*(4*a*c - b^2)^(5/2))","B"
634,1,16086,437,7.800444,"\text{Not used}","int(1/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{\frac{44\,a^3\,c^2\,d-37\,a^2\,b^2\,c\,d-4\,a^2\,b\,c^2\,d^3+28\,a^2\,c^3\,d^5+5\,a\,b^4\,d-20\,a\,b^3\,c\,d^3-49\,a\,b^2\,c^2\,d^5-24\,a\,b\,c^3\,d^7+3\,b^5\,d^3+6\,b^4\,c\,d^5+3\,b^3\,c^2\,d^7}{8\,a^2\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^3\,\left(-4\,a^2\,b\,c^2\,e^2+280\,a^2\,c^3\,d^2\,e^2-20\,a\,b^3\,c\,e^2-490\,a\,b^2\,c^2\,d^2\,e^2-840\,a\,b\,c^3\,d^4\,e^2+3\,b^5\,e^2+60\,b^4\,c\,d^2\,e^2+105\,b^3\,c^2\,d^4\,e^2\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^5\,\left(28\,a^2\,c^3\,e^4-49\,a\,b^2\,c^2\,e^4-504\,a\,b\,c^3\,d^2\,e^4+6\,b^4\,c\,e^4+63\,b^3\,c^2\,d^2\,e^4\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(-12\,e\,a^2\,b\,c^2\,d+280\,e\,a^2\,c^3\,d^3-60\,e\,a\,b^3\,c\,d-490\,e\,a\,b^2\,c^2\,d^3-504\,e\,a\,b\,c^3\,d^5+9\,e\,b^5\,d+60\,e\,b^4\,c\,d^3+63\,e\,b^3\,c^2\,d^5\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{5\,x^4\,\left(28\,a^2\,c^3\,d\,e^3-49\,a\,b^2\,c^2\,d\,e^3-168\,a\,b\,c^3\,d^3\,e^3+6\,b^4\,c\,d\,e^3+21\,b^3\,c^2\,d^3\,e^3\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{21\,x^6\,\left(b^3\,c^2\,d\,e^5-8\,a\,b\,c^3\,d\,e^5\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(44\,a^3\,c^2-37\,a^2\,b^2\,c-12\,a^2\,b\,c^2\,d^2+140\,a^2\,c^3\,d^4+5\,a\,b^4-60\,a\,b^3\,c\,d^2-245\,a\,b^2\,c^2\,d^4-168\,a\,b\,c^3\,d^6+9\,b^5\,d^2+30\,b^4\,c\,d^4+21\,b^3\,c^2\,d^6\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,x^7\,\left(b^3\,c^2\,e^6-8\,a\,b\,c^3\,e^6\right)}{8\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}-\mathrm{atan}\left(\frac{\left(\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}-\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}+\left(\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\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,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}}\right)\,\sqrt{-\frac{9\,\left(b^{19}+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^9\,b\,c^9+769\,a^2\,b^{15}\,c^2-8620\,a^3\,b^{13}\,c^3+63440\,a^4\,b^{11}\,c^4-316864\,a^5\,b^9\,c^5+1069824\,a^6\,b^7\,c^6-2343936\,a^7\,b^5\,c^7+3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,\left(\left(\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,1{}\mathrm{i}+\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,\left(\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,1{}\mathrm{i}}{\frac{-169344\,a^3\,b\,c^8\,e^{10}+67824\,a^2\,b^3\,c^7\,e^{10}-10368\,a\,b^5\,c^6\,e^{10}+567\,b^7\,c^5\,e^{10}}{256\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,\left(\left(\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)-\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,\left(\frac{3612672\,d\,a^6\,c^9\,e^{11}-3391488\,d\,a^5\,b^2\,c^8\,e^{11}+1410048\,d\,a^4\,b^4\,c^7\,e^{11}-340992\,d\,a^3\,b^6\,c^6\,e^{11}+49824\,d\,a^2\,b^8\,c^5\,e^{11}-4032\,d\,a\,b^{10}\,c^4\,e^{11}+144\,d\,b^{12}\,c^3\,e^{11}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\left(\frac{22020096\,a^9\,c^9\,e^{12}-34603008\,a^8\,b^2\,c^8\,e^{12}+23396352\,a^7\,b^4\,c^7\,e^{12}-8847360\,a^6\,b^6\,c^6\,e^{12}+2027520\,a^5\,b^8\,c^5\,e^{12}-282624\,a^4\,b^{10}\,c^4\,e^{12}+22272\,a^3\,b^{12}\,c^3\,e^{12}-768\,a^2\,b^{14}\,c^2\,e^{12}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\left(\frac{67108864\,d\,a^{11}\,b\,c^9\,e^{13}-117440512\,d\,a^{10}\,b^3\,c^8\,e^{13}+88080384\,d\,a^9\,b^5\,c^7\,e^{13}-36700160\,d\,a^8\,b^7\,c^6\,e^{13}+9175040\,d\,a^7\,b^9\,c^5\,e^{13}-1376256\,d\,a^6\,b^{11}\,c^4\,e^{13}+114688\,d\,a^5\,b^{13}\,c^3\,e^{13}-4096\,d\,a^4\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{x\,\left(262144\,a^9\,b\,c^7\,e^{14}-327680\,a^8\,b^3\,c^6\,e^{14}+163840\,a^7\,b^5\,c^5\,e^{14}-40960\,a^6\,b^7\,c^4\,e^{14}+5120\,a^5\,b^9\,c^3\,e^{14}-256\,a^4\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}+\frac{x\,\left(14112\,a^4\,c^7\,e^{12}-6192\,a^3\,b^2\,c^6\,e^{12}+1530\,a^2\,b^4\,c^5\,e^{12}-180\,a\,b^6\,c^4\,e^{12}+9\,b^8\,c^3\,e^{12}\right)}{32\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)}\right)\,\sqrt{\frac{9\,\left(b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{19}+1720320\,a^9\,b\,c^9-769\,a^2\,b^{15}\,c^2+8620\,a^3\,b^{13}\,c^3-63440\,a^4\,b^{11}\,c^4+316864\,a^5\,b^9\,c^5-1069824\,a^6\,b^7\,c^6+2343936\,a^7\,b^5\,c^7-3010560\,a^8\,b^3\,c^8+49\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+41\,a\,b^{17}\,c-11\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{15}\,c^{10}\,e^2-2621440\,a^{14}\,b^2\,c^9\,e^2+2949120\,a^{13}\,b^4\,c^8\,e^2-1966080\,a^{12}\,b^6\,c^7\,e^2+860160\,a^{11}\,b^8\,c^6\,e^2-258048\,a^{10}\,b^{10}\,c^5\,e^2+53760\,a^9\,b^{12}\,c^4\,e^2-7680\,a^8\,b^{14}\,c^3\,e^2+720\,a^7\,b^{16}\,c^2\,e^2-40\,a^6\,b^{18}\,c\,e^2+a^5\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"((3*b^5*d^3 + 44*a^3*c^2*d + 6*b^4*c*d^5 + 28*a^2*c^3*d^5 + 3*b^3*c^2*d^7 + 5*a*b^4*d - 4*a^2*b*c^2*d^3 - 49*a*b^2*c^2*d^5 - 37*a^2*b^2*c*d - 20*a*b^3*c*d^3 - 24*a*b*c^3*d^7)/(8*a^2*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^3*(3*b^5*e^2 - 4*a^2*b*c^2*e^2 + 60*b^4*c*d^2*e^2 + 280*a^2*c^3*d^2*e^2 + 105*b^3*c^2*d^4*e^2 - 20*a*b^3*c*e^2 - 840*a*b*c^3*d^4*e^2 - 490*a*b^2*c^2*d^2*e^2))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^5*(6*b^4*c*e^4 + 28*a^2*c^3*e^4 - 49*a*b^2*c^2*e^4 + 63*b^3*c^2*d^2*e^4 - 504*a*b*c^3*d^2*e^4))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(9*b^5*d*e + 280*a^2*c^3*d^3*e + 63*b^3*c^2*d^5*e + 60*b^4*c*d^3*e - 12*a^2*b*c^2*d*e - 504*a*b*c^3*d^5*e - 490*a*b^2*c^2*d^3*e - 60*a*b^3*c*d*e))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*x^4*(28*a^2*c^3*d*e^3 + 21*b^3*c^2*d^3*e^3 + 6*b^4*c*d*e^3 - 49*a*b^2*c^2*d*e^3 - 168*a*b*c^3*d^3*e^3))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (21*x^6*(b^3*c^2*d*e^5 - 8*a*b*c^3*d*e^5))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(5*a*b^4 + 44*a^3*c^2 + 9*b^5*d^2 - 37*a^2*b^2*c + 30*b^4*c*d^4 + 140*a^2*c^3*d^4 + 21*b^3*c^2*d^6 - 12*a^2*b*c^2*d^2 - 245*a*b^2*c^2*d^4 - 60*a*b^3*c*d^2 - 168*a*b*c^3*d^6))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*x^7*(b^3*c^2*e^6 - 8*a*b*c^3*e^6))/(8*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) - atan((((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) - (22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*1i + ((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*1i)/((567*b^7*c^5*e^10 - 10368*a*b^5*c^6*e^10 - 169344*a^3*b*c^8*e^10 + 67824*a^2*b^3*c^7*e^10)/(256*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + ((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) - (22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) - ((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)))*(-(9*(b^19 + b^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^9*b*c^9 + 769*a^2*b^15*c^2 - 8620*a^3*b^13*c^3 + 63440*a^4*b^11*c^4 - 316864*a^5*b^9*c^5 + 1069824*a^6*b^7*c^6 - 2343936*a^7*b^5*c^7 + 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*2i - atan((((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*(((22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - ((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*1i + ((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - ((22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + ((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*1i)/((567*b^7*c^5*e^10 - 10368*a*b^5*c^6*e^10 - 169344*a^3*b*c^8*e^10 + 67824*a^2*b^3*c^7*e^10)/(256*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + ((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*(((22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - ((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3))) - ((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*((3612672*a^6*c^9*d*e^11 + 144*b^12*c^3*d*e^11 - 4032*a*b^10*c^4*d*e^11 + 49824*a^2*b^8*c^5*d*e^11 - 340992*a^3*b^6*c^6*d*e^11 + 1410048*a^4*b^4*c^7*d*e^11 - 3391488*a^5*b^2*c^8*d*e^11)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - ((22020096*a^9*c^9*e^12 - 768*a^2*b^14*c^2*e^12 + 22272*a^3*b^12*c^3*e^12 - 282624*a^4*b^10*c^4*e^12 + 2027520*a^5*b^8*c^5*e^12 - 8847360*a^6*b^6*c^6*e^12 + 23396352*a^7*b^4*c^7*e^12 - 34603008*a^8*b^2*c^8*e^12)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + ((67108864*a^11*b*c^9*d*e^13 - 4096*a^4*b^15*c^2*d*e^13 + 114688*a^5*b^13*c^3*d*e^13 - 1376256*a^6*b^11*c^4*d*e^13 + 9175040*a^7*b^9*c^5*d*e^13 - 36700160*a^8*b^7*c^6*d*e^13 + 88080384*a^9*b^5*c^7*d*e^13 - 117440512*a^10*b^3*c^8*d*e^13)/(512*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x*(262144*a^9*b*c^7*e^14 - 256*a^4*b^11*c^2*e^14 + 5120*a^5*b^9*c^3*e^14 - 40960*a^6*b^7*c^4*e^14 + 163840*a^7*b^5*c^5*e^14 - 327680*a^8*b^3*c^6*e^14))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2) + (x*(14112*a^4*c^7*e^12 + 9*b^8*c^3*e^12 - 180*a*b^6*c^4*e^12 + 1530*a^2*b^4*c^5*e^12 - 6192*a^3*b^2*c^6*e^12))/(32*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))))*((9*(b^4*(-(4*a*c - b^2)^15)^(1/2) - b^19 + 1720320*a^9*b*c^9 - 769*a^2*b^15*c^2 + 8620*a^3*b^13*c^3 - 63440*a^4*b^11*c^4 + 316864*a^5*b^9*c^5 - 1069824*a^6*b^7*c^6 + 2343936*a^7*b^5*c^7 - 3010560*a^8*b^3*c^8 + 49*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 41*a*b^17*c - 11*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^5*b^20*e^2 + 1048576*a^15*c^10*e^2 - 40*a^6*b^18*c*e^2 + 720*a^7*b^16*c^2*e^2 - 7680*a^8*b^14*c^3*e^2 + 53760*a^9*b^12*c^4*e^2 - 258048*a^10*b^10*c^5*e^2 + 860160*a^11*b^8*c^6*e^2 - 1966080*a^12*b^6*c^7*e^2 + 2949120*a^13*b^4*c^8*e^2 - 2621440*a^14*b^2*c^9*e^2)))^(1/2)*2i","B"
635,1,19440,255,17.982196,"\text{Not used}","int(1/((d + e*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","\frac{\frac{x^2\,\left(-e\,a^2\,b\,c^2+48\,e\,a^2\,c^3\,d^2-6\,e\,a\,b^3\,c-87\,e\,a\,b^2\,c^2\,d^2-105\,e\,a\,b\,c^3\,d^4+e\,b^5+12\,e\,b^4\,c\,d^2+15\,e\,b^3\,c^2\,d^4\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^4\,\left(16\,a^2\,c^3\,e^3-29\,a\,b^2\,c^2\,e^3-210\,a\,b\,c^3\,d^2\,e^3+4\,b^4\,c\,e^3+30\,b^3\,c^2\,d^2\,e^3\right)}{4\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^3\,\left(16\,a^2\,c^3\,d\,e^2-29\,a\,b^2\,c^2\,d\,e^2-70\,a\,b\,c^3\,d^3\,e^2+4\,b^4\,c\,d\,e^2+10\,b^3\,c^2\,d^3\,e^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{3\,x^5\,\left(b^3\,c^2\,d\,e^4-7\,a\,b\,c^3\,d\,e^4\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{x^6\,\left(b^3\,c^2\,e^5-7\,a\,b\,c^3\,e^5\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x\,\left(-a^2\,b\,c^2\,d+16\,a^2\,c^3\,d^3-6\,a\,b^3\,c\,d-29\,a\,b^2\,c^2\,d^3-21\,a\,b\,c^3\,d^5+b^5\,d+4\,b^4\,c\,d^3+3\,b^3\,c^2\,d^5\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{24\,a^3\,c^2-21\,a^2\,b^2\,c-2\,a^2\,b\,c^2\,d^2+16\,a^2\,c^3\,d^4+3\,a\,b^4-12\,a\,b^3\,c\,d^2-29\,a\,b^2\,c^2\,d^4-14\,a\,b\,c^3\,d^6+2\,b^5\,d^2+4\,b^4\,c\,d^4+2\,b^3\,c^2\,d^6}{4\,e\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\frac{\ln\left(d+e\,x\right)}{a^3\,e}-\frac{\ln\left(\left(\frac{\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(\frac{\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(\frac{2\,b\,c^2\,e^{16}\,\left(46\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-18\,a\,b^3\,c-2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^3\,e}+\frac{b\,c^3\,e^{15}\,\left(7\,a\,c-b^2\right)\,\left(71\,a^2\,b\,c^2+80\,a^2\,c^3\,d^2-33\,a\,b^3\,c-47\,a\,b^2\,c^2\,d^2+4\,b^5+6\,b^4\,c\,d^2\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}-\frac{b\,c^4\,e^{17}\,x^2\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}-\frac{2\,b\,c^4\,d\,e^{16}\,x\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^3\,e}-\frac{b^3\,c^5\,e^{16}\,x^2\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^6}+\frac{b^2\,c^4\,e^{14}\,{\left(7\,a\,c-b^2\right)}^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c-7\,a\,b\,c^2\,d^2+b^4+b^3\,c\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^6}-\frac{2\,b^3\,c^5\,d\,e^{15}\,x\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^6}\right)\,\left(\frac{\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(\frac{\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(\frac{2\,b\,c^2\,e^{16}\,\left(46\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-18\,a\,b^3\,c-2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}-\frac{b\,c^2\,e^{16}\,\left(a^3\,e\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^3\,e}-\frac{b\,c^3\,e^{15}\,\left(7\,a\,c-b^2\right)\,\left(71\,a^2\,b\,c^2+80\,a^2\,c^3\,d^2-33\,a\,b^3\,c-47\,a\,b^2\,c^2\,d^2+4\,b^5+6\,b^4\,c\,d^2\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}+\frac{b\,c^4\,e^{17}\,x^2\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}+\frac{2\,b\,c^4\,d\,e^{16}\,x\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^3\,e}-\frac{b^3\,c^5\,e^{16}\,x^2\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^6}+\frac{b^2\,c^4\,e^{14}\,{\left(7\,a\,c-b^2\right)}^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c-7\,a\,b\,c^2\,d^2+b^4+b^3\,c\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^6}-\frac{2\,b^3\,c^5\,d\,e^{15}\,x\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,{\left(4\,a\,c-b^2\right)}^6}\right)\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)}-\frac{b\,\mathrm{atan}\left(\frac{x\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{2\,\left(5120\,d\,a^{10}\,b\,c^9\,e^{17}-6144\,d\,a^9\,b^3\,c^8\,e^{17}+3456\,d\,a^8\,b^5\,c^7\,e^{17}-1216\,d\,a^7\,b^7\,c^6\,e^{17}+276\,d\,a^6\,b^9\,c^5\,e^{17}-36\,d\,a^5\,b^{11}\,c^4\,e^{17}+2\,d\,a^4\,b^{13}\,c^3\,e^{17}\right)}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}-\frac{\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}+24960\,d\,a^9\,b^9\,c^5\,e^{18}-3840\,d\,a^8\,b^{11}\,c^4\,e^{18}+328\,d\,a^7\,b^{13}\,c^3\,e^{18}-12\,d\,a^6\,b^{15}\,c^2\,e^{18}\right)}{\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{b\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}+24960\,d\,a^9\,b^9\,c^5\,e^{18}-3840\,d\,a^8\,b^{11}\,c^4\,e^{18}+328\,d\,a^7\,b^{13}\,c^3\,e^{18}-12\,d\,a^6\,b^{15}\,c^2\,e^{18}\right)}{4\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)}+\frac{b\,\left(\frac{2\,\left(8960\,d\,a^7\,b\,c^9\,e^{16}-11024\,d\,a^6\,b^3\,c^8\,e^{16}+5256\,d\,a^5\,b^5\,c^7\,e^{16}-1217\,d\,a^4\,b^7\,c^6\,e^{16}+137\,d\,a^3\,b^9\,c^5\,e^{16}-6\,d\,a^2\,b^{11}\,c^4\,e^{16}\right)}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}+\frac{\left(\frac{2\,\left(5120\,d\,a^{10}\,b\,c^9\,e^{17}-6144\,d\,a^9\,b^3\,c^8\,e^{17}+3456\,d\,a^8\,b^5\,c^7\,e^{17}-1216\,d\,a^7\,b^7\,c^6\,e^{17}+276\,d\,a^6\,b^9\,c^5\,e^{17}-36\,d\,a^5\,b^{11}\,c^4\,e^{17}+2\,d\,a^4\,b^{13}\,c^3\,e^{17}\right)}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}-\frac{\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}+24960\,d\,a^9\,b^9\,c^5\,e^{18}-3840\,d\,a^8\,b^{11}\,c^4\,e^{18}+328\,d\,a^7\,b^{13}\,c^3\,e^{18}-12\,d\,a^6\,b^{15}\,c^2\,e^{18}\right)}{\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\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^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}-\frac{\left(\frac{23552\,a^{10}\,b^2\,c^8\,e^{16}+5120\,a^{10}\,b\,c^9\,d^2\,e^{16}-32768\,a^9\,b^4\,c^7\,e^{16}-6144\,a^9\,b^3\,c^8\,d^2\,e^{16}+19072\,a^8\,b^6\,c^6\,e^{16}+3456\,a^8\,b^5\,c^7\,d^2\,e^{16}-5952\,a^7\,b^8\,c^5\,e^{16}-1216\,a^7\,b^7\,c^6\,d^2\,e^{16}+1052\,a^6\,b^{10}\,c^4\,e^{16}+276\,a^6\,b^9\,c^5\,d^2\,e^{16}-100\,a^5\,b^{12}\,c^3\,e^{16}-36\,a^5\,b^{11}\,c^4\,d^2\,e^{16}+4\,a^4\,b^{14}\,c^2\,e^{16}+2\,a^4\,b^{13}\,c^3\,d^2\,e^{16}}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}+\frac{\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}-24576\,a^{12}\,b^4\,c^7\,e^{17}+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{11}\,b^6\,c^6\,e^{17}-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{10}\,b^8\,c^5\,e^{17}+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}+960\,a^9\,b^{10}\,c^4\,e^{17}-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}-96\,a^8\,b^{12}\,c^3\,e^{17}+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^7\,b^{14}\,c^2\,e^{17}-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)}\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)}-\frac{784\,a^4\,b^2\,c^8\,e^{14}-616\,a^3\,b^4\,c^7\,e^{14}-343\,a^3\,b^3\,c^8\,d^2\,e^{14}+177\,a^2\,b^6\,c^6\,e^{14}+147\,a^2\,b^5\,c^7\,d^2\,e^{14}-22\,a\,b^8\,c^5\,e^{14}-21\,a\,b^7\,c^6\,d^2\,e^{14}+b^{10}\,c^4\,e^{14}+b^9\,c^5\,d^2\,e^{14}}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}+\frac{b\,\left(\frac{b\,\left(\frac{23552\,a^{10}\,b^2\,c^8\,e^{16}+5120\,a^{10}\,b\,c^9\,d^2\,e^{16}-32768\,a^9\,b^4\,c^7\,e^{16}-6144\,a^9\,b^3\,c^8\,d^2\,e^{16}+19072\,a^8\,b^6\,c^6\,e^{16}+3456\,a^8\,b^5\,c^7\,d^2\,e^{16}-5952\,a^7\,b^8\,c^5\,e^{16}-1216\,a^7\,b^7\,c^6\,d^2\,e^{16}+1052\,a^6\,b^{10}\,c^4\,e^{16}+276\,a^6\,b^9\,c^5\,d^2\,e^{16}-100\,a^5\,b^{12}\,c^3\,e^{16}-36\,a^5\,b^{11}\,c^4\,d^2\,e^{16}+4\,a^4\,b^{14}\,c^2\,e^{16}+2\,a^4\,b^{13}\,c^3\,d^2\,e^{16}}{4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}}+\frac{\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}-24576\,a^{12}\,b^4\,c^7\,e^{17}+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{11}\,b^6\,c^6\,e^{17}-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{10}\,b^8\,c^5\,e^{17}+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}+960\,a^9\,b^{10}\,c^4\,e^{17}-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}-96\,a^8\,b^{12}\,c^3\,e^{17}+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^7\,b^{14}\,c^2\,e^{17}-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{b\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}-24576\,a^{12}\,b^4\,c^7\,e^{17}+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{11}\,b^6\,c^6\,e^{17}-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{10}\,b^8\,c^5\,e^{17}+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}+960\,a^9\,b^{10}\,c^4\,e^{17}-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}-96\,a^8\,b^{12}\,c^3\,e^{17}+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^7\,b^{14}\,c^2\,e^{17}-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\right)}{8\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2\,\left(-2048\,e\,a^5\,c^5+2560\,e\,a^4\,b^2\,c^4-1280\,e\,a^3\,b^4\,c^3+320\,e\,a^2\,b^6\,c^2-40\,e\,a\,b^8\,c+2\,e\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}-24576\,a^{12}\,b^4\,c^7\,e^{17}+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{11}\,b^6\,c^6\,e^{17}-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{10}\,b^8\,c^5\,e^{17}+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}+960\,a^9\,b^{10}\,c^4\,e^{17}-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}-96\,a^8\,b^{12}\,c^3\,e^{17}+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^7\,b^{14}\,c^2\,e^{17}-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\right)}{32\,a^6\,e^2\,{\left(4\,a\,c-b^2\right)}^5\,\left(-4096\,a^8\,c^5\,e^2+5120\,a^7\,b^2\,c^4\,e^2-2560\,a^6\,b^4\,c^3\,e^2+640\,a^5\,b^6\,c^2\,e^2-80\,a^4\,b^8\,c\,e^2+4\,a^3\,b^{10}\,e^2\right)\,\left(4096\,a^{12}\,c^6-6144\,a^{11}\,b^2\,c^5+3840\,a^{10}\,b^4\,c^4-1280\,a^9\,b^6\,c^3+240\,a^8\,b^8\,c^2-24\,a^7\,b^{10}\,c+a^6\,b^{12}\right)}\right)\,\left(-45\,a^3\,c^3+40\,a^2\,b^2\,c^2-11\,a\,b^4\,c+b^6\right)\,\left(16\,a^9\,b^{12}\,{\left(4\,a\,c-b^2\right)}^{15/2}+65536\,a^{15}\,c^6\,{\left(4\,a\,c-b^2\right)}^{15/2}-384\,a^{10}\,b^{10}\,c\,{\left(4\,a\,c-b^2\right)}^{15/2}+3840\,a^{11}\,b^8\,c^2\,{\left(4\,a\,c-b^2\right)}^{15/2}-20480\,a^{12}\,b^6\,c^3\,{\left(4\,a\,c-b^2\right)}^{15/2}+61440\,a^{13}\,b^4\,c^4\,{\left(4\,a\,c-b^2\right)}^{15/2}-98304\,a^{14}\,b^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{15/2}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^6\,\left(900\,a^4\,b^2\,c^6\,e^{14}-600\,a^3\,b^4\,c^5\,e^{14}+160\,a^2\,b^6\,c^4\,e^{14}-20\,a\,b^8\,c^3\,e^{14}+b^{10}\,c^2\,e^{14}\right)\,\left(-6400\,a^5\,c^5+7775\,a^4\,b^2\,c^4-3850\,a^3\,b^4\,c^3+960\,a^2\,b^6\,c^2-120\,a\,b^8\,c+6\,b^{10}\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((x^2*(b^5*e + 48*a^2*c^3*d^2*e + 15*b^3*c^2*d^4*e - 6*a*b^3*c*e - a^2*b*c^2*e + 12*b^4*c*d^2*e - 105*a*b*c^3*d^4*e - 87*a*b^2*c^2*d^2*e))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^4*(4*b^4*c*e^3 + 16*a^2*c^3*e^3 - 29*a*b^2*c^2*e^3 + 30*b^3*c^2*d^2*e^3 - 210*a*b*c^3*d^2*e^3))/(4*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^3*(16*a^2*c^3*d*e^2 + 10*b^3*c^2*d^3*e^2 + 4*b^4*c*d*e^2 - 29*a*b^2*c^2*d*e^2 - 70*a*b*c^3*d^3*e^2))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (3*x^5*(b^3*c^2*d*e^4 - 7*a*b*c^3*d*e^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (x^6*(b^3*c^2*e^5 - 7*a*b*c^3*e^5))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x*(b^5*d + 4*b^4*c*d^3 + 16*a^2*c^3*d^3 + 3*b^3*c^2*d^5 - 29*a*b^2*c^2*d^3 - 6*a*b^3*c*d - a^2*b*c^2*d - 21*a*b*c^3*d^5))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (3*a*b^4 + 24*a^3*c^2 + 2*b^5*d^2 - 21*a^2*b^2*c + 4*b^4*c*d^4 + 16*a^2*c^3*d^4 + 2*b^3*c^2*d^6 - 2*a^2*b*c^2*d^2 - 29*a*b^2*c^2*d^4 - 12*a*b^3*c*d^2 - 14*a*b*c^3*d^6)/(4*e*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) + log(d + e*x)/(a^3*e) - (log((((a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) + 1)*(((a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) + 1)*((2*b*c^2*e^16*(2*b^5 + 46*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 18*a*b^3*c - 2*a*b^2*c^2*d^2))/(a^2*(4*a*c - b^2)^2) + (b*c^2*e^16*(a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) + 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^3 + (2*b*c^3*e^18*x^2*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*(4*a*c - b^2)^2) + (4*b*c^3*d*e^17*x*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*(4*a*c - b^2)^2)))/(4*a^3*e) + (b*c^3*e^15*(7*a*c - b^2)*(4*b^5 + 71*a^2*b*c^2 + 6*b^4*c*d^2 + 80*a^2*c^3*d^2 - 33*a*b^3*c - 47*a*b^2*c^2*d^2))/(a^4*(4*a*c - b^2)^4) - (b*c^4*e^17*x^2*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*(4*a*c - b^2)^4) - (2*b*c^4*d*e^16*x*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*(4*a*c - b^2)^4)))/(4*a^3*e) - (b^3*c^5*e^16*x^2*(7*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^6) + (b^2*c^4*e^14*(7*a*c - b^2)^2*(b^4 + 16*a^2*c^2 + b^3*c*d^2 - 8*a*b^2*c - 7*a*b*c^2*d^2))/(a^6*(4*a*c - b^2)^6) - (2*b^3*c^5*d*e^15*x*(7*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^6))*(((a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) - 1)*(((a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) - 1)*((2*b*c^2*e^16*(2*b^5 + 46*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 18*a*b^3*c - 2*a*b^2*c^2*d^2))/(a^2*(4*a*c - b^2)^2) - (b*c^2*e^16*(a^3*e*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*(4*a*c - b^2)^5))^(1/2) - 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^3 + (2*b*c^3*e^18*x^2*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*(4*a*c - b^2)^2) + (4*b*c^3*d*e^17*x*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*(4*a*c - b^2)^2)))/(4*a^3*e) - (b*c^3*e^15*(7*a*c - b^2)*(4*b^5 + 71*a^2*b*c^2 + 6*b^4*c*d^2 + 80*a^2*c^3*d^2 - 33*a*b^3*c - 47*a*b^2*c^2*d^2))/(a^4*(4*a*c - b^2)^4) + (b*c^4*e^17*x^2*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*(4*a*c - b^2)^4) + (2*b*c^4*d*e^16*x*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*(4*a*c - b^2)^4)))/(4*a^3*e) - (b^3*c^5*e^16*x^2*(7*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^6) + (b^2*c^4*e^14*(7*a*c - b^2)^2*(b^4 + 16*a^2*c^2 + b^3*c*d^2 - 8*a*b^2*c - 7*a*b*c^2*d^2))/(a^6*(4*a*c - b^2)^6) - (2*b^3*c^5*d*e^15*x*(7*a*c - b^2)^3)/(a^6*(4*a*c - b^2)^6)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) - (b*atan((x*((((((b*((2*(5120*a^10*b*c^9*d*e^17 + 2*a^4*b^13*c^3*d*e^17 - 36*a^5*b^11*c^4*d*e^17 + 276*a^6*b^9*c^5*d*e^17 - 1216*a^7*b^7*c^6*d*e^17 + 3456*a^8*b^5*c^7*d*e^17 - 6144*a^9*b^3*c^8*d*e^17))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/((4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/(4*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) + (b*((2*(8960*a^7*b*c^9*d*e^16 - 6*a^2*b^11*c^4*d*e^16 + 137*a^3*b^9*c^5*d*e^16 - 1217*a^4*b^7*c^6*d*e^16 + 5256*a^5*b^5*c^7*d*e^16 - 11024*a^6*b^3*c^8*d*e^16))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((2*(5120*a^10*b*c^9*d*e^17 + 2*a^4*b^13*c^3*d*e^17 - 36*a^5*b^11*c^4*d*e^17 + 276*a^6*b^9*c^5*d*e^17 - 1216*a^7*b^7*c^6*d*e^17 + 3456*a^8*b^5*c^7*d*e^17 - 6144*a^9*b^3*c^8*d*e^17))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/((4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/(32*a^9*e^3*(4*a*c - b^2)^(15/2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) + (3*b*((2*(b^9*c^5*d*e^15 - 21*a*b^7*c^6*d*e^15 + 147*a^2*b^5*c^7*d*e^15 - 343*a^3*b^3*c^8*d*e^15))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((2*(8960*a^7*b*c^9*d*e^16 - 6*a^2*b^11*c^4*d*e^16 + 137*a^3*b^9*c^5*d*e^16 - 1217*a^4*b^7*c^6*d*e^16 + 5256*a^5*b^5*c^7*d*e^16 - 11024*a^6*b^3*c^8*d*e^16))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((2*(5120*a^10*b*c^9*d*e^17 + 2*a^4*b^13*c^3*d*e^17 - 36*a^5*b^11*c^4*d*e^17 + 276*a^6*b^9*c^5*d*e^17 - 1216*a^7*b^7*c^6*d*e^17 + 3456*a^8*b^5*c^7*d*e^17 - 6144*a^9*b^3*c^8*d*e^17))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/((4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) - (b*((b*((2*(5120*a^10*b*c^9*d*e^17 + 2*a^4*b^13*c^3*d*e^17 - 36*a^5*b^11*c^4*d*e^17 + 276*a^6*b^9*c^5*d*e^17 - 1216*a^7*b^7*c^6*d*e^17 + 3456*a^8*b^5*c^7*d*e^17 - 6144*a^9*b^3*c^8*d*e^17))/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/((4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/(4*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*d*e^18 - 12*a^6*b^15*c^2*d*e^18 + 328*a^7*b^13*c^3*d*e^18 - 3840*a^8*b^11*c^4*d*e^18 + 24960*a^9*b^9*c^5*d*e^18 - 97280*a^10*b^7*c^6*d*e^18 + 227328*a^11*b^5*c^7*d*e^18 - 294912*a^12*b^3*c^8*d*e^18))/(16*a^6*e^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(16*a^9*b^12*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*(4*a*c - b^2)^(15/2)))/(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14) + (x^2*((((((b*((5120*a^10*b*c^9*e^18 + 2*a^4*b^13*c^3*e^18 - 36*a^5*b^11*c^4*e^18 + 276*a^6*b^9*c^5*e^18 - 1216*a^7*b^7*c^6*e^18 + 3456*a^8*b^5*c^7*e^18 - 6144*a^9*b^3*c^8*e^18)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(8*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) + (b*((8960*a^7*b*c^9*e^17 - 6*a^2*b^11*c^4*e^17 + 137*a^3*b^9*c^5*e^17 - 1217*a^4*b^7*c^6*e^17 + 5256*a^5*b^5*c^7*e^17 - 11024*a^6*b^3*c^8*e^17)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((5120*a^10*b*c^9*e^18 + 2*a^4*b^13*c^3*e^18 - 36*a^5*b^11*c^4*e^18 + 276*a^6*b^9*c^5*e^18 - 1216*a^7*b^7*c^6*e^18 + 3456*a^8*b^5*c^7*e^18 - 6144*a^9*b^3*c^8*e^18)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(64*a^9*e^3*(4*a*c - b^2)^(15/2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) + (3*b*((b^9*c^5*e^16 - 21*a*b^7*c^6*e^16 + 147*a^2*b^5*c^7*e^16 - 343*a^3*b^3*c^8*e^16)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((8960*a^7*b*c^9*e^17 - 6*a^2*b^11*c^4*e^17 + 137*a^3*b^9*c^5*e^17 - 1217*a^4*b^7*c^6*e^17 + 5256*a^5*b^5*c^7*e^17 - 11024*a^6*b^3*c^8*e^17)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (((5120*a^10*b*c^9*e^18 + 2*a^4*b^13*c^3*e^18 - 36*a^5*b^11*c^4*e^18 + 276*a^6*b^9*c^5*e^18 - 1216*a^7*b^7*c^6*e^18 + 3456*a^8*b^5*c^7*e^18 - 6144*a^9*b^3*c^8*e^18)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) - (b*((b*((5120*a^10*b*c^9*e^18 + 2*a^4*b^13*c^3*e^18 - 36*a^5*b^11*c^4*e^18 + 276*a^6*b^9*c^5*e^18 - 1216*a^7*b^7*c^6*e^18 + 3456*a^8*b^5*c^7*e^18 - 6144*a^9*b^3*c^8*e^18)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(8*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(163840*a^13*b*c^9*e^19 - 12*a^6*b^15*c^2*e^19 + 328*a^7*b^13*c^3*e^19 - 3840*a^8*b^11*c^4*e^19 + 24960*a^9*b^9*c^5*e^19 - 97280*a^10*b^7*c^6*e^19 + 227328*a^11*b^5*c^7*e^19 - 294912*a^12*b^3*c^8*e^19))/(32*a^6*e^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(16*a^9*b^12*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*(4*a*c - b^2)^(15/2)))/(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14) - (((b*((4*a^2*b^12*c^3*e^15 - 93*a^3*b^10*c^4*e^15 + 854*a^4*b^8*c^5*e^15 - 3889*a^5*b^6*c^6*e^15 + 8808*a^6*b^4*c^7*e^15 - 7952*a^7*b^2*c^8*e^15 + 6*a^2*b^11*c^4*d^2*e^15 - 137*a^3*b^9*c^5*d^2*e^15 + 1217*a^4*b^7*c^6*d^2*e^15 - 5256*a^5*b^5*c^7*d^2*e^15 + 11024*a^6*b^3*c^8*d^2*e^15 - 8960*a^7*b*c^9*d^2*e^15)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - (((4*a^4*b^14*c^2*e^16 - 100*a^5*b^12*c^3*e^16 + 1052*a^6*b^10*c^4*e^16 - 5952*a^7*b^8*c^5*e^16 + 19072*a^8*b^6*c^6*e^16 - 32768*a^9*b^4*c^7*e^16 + 23552*a^10*b^2*c^8*e^16 + 2*a^4*b^13*c^3*d^2*e^16 - 36*a^5*b^11*c^4*d^2*e^16 + 276*a^6*b^9*c^5*d^2*e^16 - 1216*a^7*b^7*c^6*d^2*e^16 + 3456*a^8*b^5*c^7*d^2*e^16 - 6144*a^9*b^3*c^8*d^2*e^16 + 5120*a^10*b*c^9*d^2*e^16)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) - (((b*((4*a^4*b^14*c^2*e^16 - 100*a^5*b^12*c^3*e^16 + 1052*a^6*b^10*c^4*e^16 - 5952*a^7*b^8*c^5*e^16 + 19072*a^8*b^6*c^6*e^16 - 32768*a^9*b^4*c^7*e^16 + 23552*a^10*b^2*c^8*e^16 + 2*a^4*b^13*c^3*d^2*e^16 - 36*a^5*b^11*c^4*d^2*e^16 + 276*a^6*b^9*c^5*d^2*e^16 - 1216*a^7*b^7*c^6*d^2*e^16 + 3456*a^8*b^5*c^7*d^2*e^16 - 6144*a^9*b^3*c^8*d^2*e^16 + 5120*a^10*b*c^9*d^2*e^16)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(8*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) + (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(64*a^9*e^3*(4*a*c - b^2)^(15/2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c)*(16*a^9*b^12*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) - (3*b*((((4*a^2*b^12*c^3*e^15 - 93*a^3*b^10*c^4*e^15 + 854*a^4*b^8*c^5*e^15 - 3889*a^5*b^6*c^6*e^15 + 8808*a^6*b^4*c^7*e^15 - 7952*a^7*b^2*c^8*e^15 + 6*a^2*b^11*c^4*d^2*e^15 - 137*a^3*b^9*c^5*d^2*e^15 + 1217*a^4*b^7*c^6*d^2*e^15 - 5256*a^5*b^5*c^7*d^2*e^15 + 11024*a^6*b^3*c^8*d^2*e^15 - 8960*a^7*b*c^9*d^2*e^15)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) - (((4*a^4*b^14*c^2*e^16 - 100*a^5*b^12*c^3*e^16 + 1052*a^6*b^10*c^4*e^16 - 5952*a^7*b^8*c^5*e^16 + 19072*a^8*b^6*c^6*e^16 - 32768*a^9*b^4*c^7*e^16 + 23552*a^10*b^2*c^8*e^16 + 2*a^4*b^13*c^3*d^2*e^16 - 36*a^5*b^11*c^4*d^2*e^16 + 276*a^6*b^9*c^5*d^2*e^16 - 1216*a^7*b^7*c^6*d^2*e^16 + 3456*a^8*b^5*c^7*d^2*e^16 - 6144*a^9*b^3*c^8*d^2*e^16 + 5120*a^10*b*c^9*d^2*e^16)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)))*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)) - (b^10*c^4*e^14 - 22*a*b^8*c^5*e^14 + 177*a^2*b^6*c^6*e^14 - 616*a^3*b^4*c^7*e^14 + 784*a^4*b^2*c^8*e^14 + b^9*c^5*d^2*e^14 + 147*a^2*b^5*c^7*d^2*e^14 - 343*a^3*b^3*c^8*d^2*e^14 - 21*a*b^7*c^6*d^2*e^14)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + (b*((b*((4*a^4*b^14*c^2*e^16 - 100*a^5*b^12*c^3*e^16 + 1052*a^6*b^10*c^4*e^16 - 5952*a^7*b^8*c^5*e^16 + 19072*a^8*b^6*c^6*e^16 - 32768*a^9*b^4*c^7*e^16 + 23552*a^10*b^2*c^8*e^16 + 2*a^4*b^13*c^3*d^2*e^16 - 36*a^5*b^11*c^4*d^2*e^16 + 276*a^6*b^9*c^5*d^2*e^16 - 1216*a^7*b^7*c^6*d^2*e^16 + 3456*a^8*b^5*c^7*d^2*e^16 - 6144*a^9*b^3*c^8*d^2*e^16 + 5120*a^10*b*c^9*d^2*e^16)/(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5) + ((2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(2*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(8*a^3*e*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*(4*a*c - b^2)^(5/2)) + (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e - 2048*a^5*c^5*e + 320*a^2*b^6*c^2*e - 1280*a^3*b^4*c^3*e + 2560*a^4*b^2*c^4*e - 40*a*b^8*c*e)*(4*a^7*b^14*c^2*e^17 - 96*a^8*b^12*c^3*e^17 + 960*a^9*b^10*c^4*e^17 - 5120*a^10*b^8*c^5*e^17 + 15360*a^11*b^6*c^6*e^17 - 24576*a^12*b^4*c^7*e^17 + 16384*a^13*b^2*c^8*e^17 + 12*a^6*b^15*c^2*d^2*e^17 - 328*a^7*b^13*c^3*d^2*e^17 + 3840*a^8*b^11*c^4*d^2*e^17 - 24960*a^9*b^9*c^5*d^2*e^17 + 97280*a^10*b^7*c^6*d^2*e^17 - 227328*a^11*b^5*c^7*d^2*e^17 + 294912*a^12*b^3*c^8*d^2*e^17 - 163840*a^13*b*c^9*d^2*e^17))/(32*a^6*e^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2 - 4096*a^8*c^5*e^2 - 80*a^4*b^8*c*e^2 + 640*a^5*b^6*c^2*e^2 - 2560*a^6*b^4*c^3*e^2 + 5120*a^7*b^2*c^4*e^2)*(a^6*b^12 + 4096*a^12*c^6 - 24*a^7*b^10*c + 240*a^8*b^8*c^2 - 1280*a^9*b^6*c^3 + 3840*a^10*b^4*c^4 - 6144*a^11*b^2*c^5)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c)*(16*a^9*b^12*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^6*(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(2*a^3*e*(4*a*c - b^2)^(5/2))","B"
636,1,18112,484,14.375612,"\text{Not used}","int(1/((d + e*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","-\frac{\frac{x^4\,\left(324\,a^3\,c^3\,e^3+25\,a^2\,b^2\,c^2\,e^3+5880\,a^2\,b\,c^3\,d^2\,e^3+12600\,a^2\,c^4\,d^4\,e^3-91\,a\,b^4\,c\,e^3-3405\,a\,b^3\,c^2\,d^2\,e^3-7770\,a\,b^2\,c^3\,d^4\,e^3+15\,b^6\,e^3+450\,b^5\,c\,d^2\,e^3+1050\,b^4\,c^2\,d^4\,e^3\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^6\,\left(392\,a^2\,b\,c^3\,e^5+5040\,a^2\,c^4\,d^2\,e^5-227\,a\,b^3\,c^2\,e^5-3108\,a\,b^2\,c^3\,d^2\,e^5+30\,b^5\,c\,e^5+420\,b^4\,c^2\,d^2\,e^5\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x\,\left(364\,a^3\,b\,c^2\,d+648\,a^3\,c^3\,d^3-194\,a^2\,b^3\,c\,d+50\,a^2\,b^2\,c^2\,d^3+1176\,a^2\,b\,c^3\,d^5+720\,a^2\,c^4\,d^7+25\,a\,b^5\,d-182\,a\,b^4\,c\,d^3-681\,a\,b^3\,c^2\,d^5-444\,a\,b^2\,c^3\,d^7+30\,b^6\,d^3+90\,b^5\,c\,d^5+60\,b^4\,c^2\,d^7\right)}{4\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^5\,\left(392\,a^2\,b\,c^3\,d\,e^4+1680\,a^2\,c^4\,d^3\,e^4-227\,a\,b^3\,c^2\,d\,e^4-1036\,a\,b^2\,c^3\,d^3\,e^4+30\,b^5\,c\,d\,e^4+140\,b^4\,c^2\,d^3\,e^4\right)}{4\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^8\,\left(60\,a^2\,c^4\,e^7-37\,a\,b^2\,c^3\,e^7+5\,b^4\,c^2\,e^7\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^2\,\left(364\,e\,a^3\,b\,c^2+1944\,e\,a^3\,c^3\,d^2-194\,e\,a^2\,b^3\,c+150\,e\,a^2\,b^2\,c^2\,d^2+5880\,e\,a^2\,b\,c^3\,d^4+5040\,e\,a^2\,c^4\,d^6+25\,e\,a\,b^5-546\,e\,a\,b^4\,c\,d^2-3405\,e\,a\,b^3\,c^2\,d^4-3108\,e\,a\,b^2\,c^3\,d^6+90\,e\,b^6\,d^2+450\,e\,b^5\,c\,d^4+420\,e\,b^4\,c^2\,d^6\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^3\,\left(324\,a^3\,c^3\,d\,e^2+25\,a^2\,b^2\,c^2\,d\,e^2+1960\,a^2\,b\,c^3\,d^3\,e^2+2520\,a^2\,c^4\,d^5\,e^2-91\,a\,b^4\,c\,d\,e^2-1135\,a\,b^3\,c^2\,d^3\,e^2-1554\,a\,b^2\,c^3\,d^5\,e^2+15\,b^6\,d\,e^2+150\,b^5\,c\,d^3\,e^2+210\,b^4\,c^2\,d^5\,e^2\right)}{2\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^7\,\left(60\,d\,a^2\,c^4\,e^6-37\,d\,a\,b^2\,c^3\,e^6+5\,d\,b^4\,c^2\,e^6\right)}{a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{128\,a^4\,c^2-64\,a^3\,b^2\,c+364\,a^3\,b\,c^2\,d^2+324\,a^3\,c^3\,d^4+8\,a^2\,b^4-194\,a^2\,b^3\,c\,d^2+25\,a^2\,b^2\,c^2\,d^4+392\,a^2\,b\,c^3\,d^6+180\,a^2\,c^4\,d^8+25\,a\,b^5\,d^2-91\,a\,b^4\,c\,d^4-227\,a\,b^3\,c^2\,d^6-111\,a\,b^2\,c^3\,d^8+15\,b^6\,d^4+30\,b^5\,c\,d^6+15\,b^4\,c^2\,d^8}{8\,a\,e\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}}{x^3\,\left(10\,b^2\,d^2\,e^3+70\,b\,c\,d^4\,e^3+2\,a\,b\,e^3+84\,c^2\,d^6\,e^3+20\,a\,c\,d^2\,e^3\right)+x^7\,\left(36\,c^2\,d^2\,e^7+2\,b\,c\,e^7\right)+x\,\left(e\,a^2+6\,e\,a\,b\,d^2+10\,e\,a\,c\,d^4+5\,e\,b^2\,d^4+14\,e\,b\,c\,d^6+9\,e\,c^2\,d^8\right)+x^4\,\left(5\,b^2\,d\,e^4+70\,b\,c\,d^3\,e^4+126\,c^2\,d^5\,e^4+10\,a\,c\,d\,e^4\right)+a^2\,d+x^2\,\left(10\,b^2\,d^3\,e^2+42\,b\,c\,d^5\,e^2+6\,a\,b\,d\,e^2+36\,c^2\,d^7\,e^2+20\,a\,c\,d^3\,e^2\right)+x^6\,\left(84\,c^2\,d^3\,e^6+14\,b\,c\,d\,e^6\right)+x^5\,\left(b^2\,e^5+42\,b\,c\,d^2\,e^5+126\,c^2\,d^4\,e^5+2\,a\,c\,e^5\right)+b^2\,d^5+c^2\,d^9+c^2\,e^9\,x^9+2\,a\,b\,d^3+2\,a\,c\,d^5+2\,b\,c\,d^7+9\,c^2\,d\,e^8\,x^8}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(x\,\left(1099511627776\,a^{26}\,b\,c^{13}\,e^{14}-3023656976384\,a^{25}\,b^3\,c^{12}\,e^{14}+3779571220480\,a^{24}\,b^5\,c^{11}\,e^{14}-2834678415360\,a^{23}\,b^7\,c^{10}\,e^{14}+1417339207680\,a^{22}\,b^9\,c^9\,e^{14}-496068722688\,a^{21}\,b^{11}\,c^8\,e^{14}+124017180672\,a^{20}\,b^{13}\,c^7\,e^{14}-22145925120\,a^{19}\,b^{15}\,c^6\,e^{14}+2768240640\,a^{18}\,b^{17}\,c^5\,e^{14}-230686720\,a^{17}\,b^{19}\,c^4\,e^{14}+11534336\,a^{16}\,b^{21}\,c^3\,e^{14}-262144\,a^{15}\,b^{23}\,c^2\,e^{14}\right)+1099511627776\,a^{26}\,b\,c^{13}\,d\,e^{13}-262144\,a^{15}\,b^{23}\,c^2\,d\,e^{13}+11534336\,a^{16}\,b^{21}\,c^3\,d\,e^{13}-230686720\,a^{17}\,b^{19}\,c^4\,d\,e^{13}+2768240640\,a^{18}\,b^{17}\,c^5\,d\,e^{13}-22145925120\,a^{19}\,b^{15}\,c^6\,d\,e^{13}+124017180672\,a^{20}\,b^{13}\,c^7\,d\,e^{13}-496068722688\,a^{21}\,b^{11}\,c^8\,d\,e^{13}+1417339207680\,a^{22}\,b^9\,c^9\,d\,e^{13}-2834678415360\,a^{23}\,b^7\,c^{10}\,d\,e^{13}+3779571220480\,a^{24}\,b^5\,c^{11}\,d\,e^{13}-3023656976384\,a^{25}\,b^3\,c^{12}\,d\,e^{13}\right)-1185410973696\,a^{23}\,b\,c^{13}\,e^{12}+245760\,a^{12}\,b^{23}\,c^2\,e^{12}-10911744\,a^{13}\,b^{21}\,c^3\,e^{12}+220397568\,a^{14}\,b^{19}\,c^4\,e^{12}-2673082368\,a^{15}\,b^{17}\,c^5\,e^{12}+21630025728\,a^{16}\,b^{15}\,c^6\,e^{12}-122607894528\,a^{17}\,b^{13}\,c^7\,e^{12}+496773365760\,a^{18}\,b^{11}\,c^8\,e^{12}-1438679826432\,a^{19}\,b^9\,c^9\,e^{12}+2918430277632\,a^{20}\,b^7\,c^{10}\,e^{12}-3949222428672\,a^{21}\,b^5\,c^{11}\,e^{12}+3208340570112\,a^{22}\,b^3\,c^{12}\,e^{12}\right)+x\,\left(271790899200\,a^{20}\,c^{14}\,e^{12}-1101055131648\,a^{19}\,b^2\,c^{13}\,e^{12}+1747313491968\,a^{18}\,b^4\,c^{12}\,e^{12}-1543847804928\,a^{17}\,b^6\,c^{11}\,e^{12}+869815812096\,a^{16}\,b^8\,c^{10}\,e^{12}-333226967040\,a^{15}\,b^{10}\,c^9\,e^{12}+89374851072\,a^{14}\,b^{12}\,c^8\,e^{12}-16878108672\,a^{13}\,b^{14}\,c^7\,e^{12}+2207803392\,a^{12}\,b^{16}\,c^6\,e^{12}-191038464\,a^{11}\,b^{18}\,c^5\,e^{12}+9861120\,a^{10}\,b^{20}\,c^4\,e^{12}-230400\,a^9\,b^{22}\,c^3\,e^{12}\right)+271790899200\,a^{20}\,c^{14}\,d\,e^{11}-230400\,a^9\,b^{22}\,c^3\,d\,e^{11}+9861120\,a^{10}\,b^{20}\,c^4\,d\,e^{11}-191038464\,a^{11}\,b^{18}\,c^5\,d\,e^{11}+2207803392\,a^{12}\,b^{16}\,c^6\,d\,e^{11}-16878108672\,a^{13}\,b^{14}\,c^7\,d\,e^{11}+89374851072\,a^{14}\,b^{12}\,c^8\,d\,e^{11}-333226967040\,a^{15}\,b^{10}\,c^9\,d\,e^{11}+869815812096\,a^{16}\,b^8\,c^{10}\,d\,e^{11}-1543847804928\,a^{17}\,b^6\,c^{11}\,d\,e^{11}+1747313491968\,a^{18}\,b^4\,c^{12}\,d\,e^{11}-1101055131648\,a^{19}\,b^2\,c^{13}\,d\,e^{11}\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}-2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}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(x\,\left(1099511627776\,a^{26}\,b\,c^{13}\,e^{14}-3023656976384\,a^{25}\,b^3\,c^{12}\,e^{14}+3779571220480\,a^{24}\,b^5\,c^{11}\,e^{14}-2834678415360\,a^{23}\,b^7\,c^{10}\,e^{14}+1417339207680\,a^{22}\,b^9\,c^9\,e^{14}-496068722688\,a^{21}\,b^{11}\,c^8\,e^{14}+124017180672\,a^{20}\,b^{13}\,c^7\,e^{14}-22145925120\,a^{19}\,b^{15}\,c^6\,e^{14}+2768240640\,a^{18}\,b^{17}\,c^5\,e^{14}-230686720\,a^{17}\,b^{19}\,c^4\,e^{14}+11534336\,a^{16}\,b^{21}\,c^3\,e^{14}-262144\,a^{15}\,b^{23}\,c^2\,e^{14}\right)+1099511627776\,a^{26}\,b\,c^{13}\,d\,e^{13}-262144\,a^{15}\,b^{23}\,c^2\,d\,e^{13}+11534336\,a^{16}\,b^{21}\,c^3\,d\,e^{13}-230686720\,a^{17}\,b^{19}\,c^4\,d\,e^{13}+2768240640\,a^{18}\,b^{17}\,c^5\,d\,e^{13}-22145925120\,a^{19}\,b^{15}\,c^6\,d\,e^{13}+124017180672\,a^{20}\,b^{13}\,c^7\,d\,e^{13}-496068722688\,a^{21}\,b^{11}\,c^8\,d\,e^{13}+1417339207680\,a^{22}\,b^9\,c^9\,d\,e^{13}-2834678415360\,a^{23}\,b^7\,c^{10}\,d\,e^{13}+3779571220480\,a^{24}\,b^5\,c^{11}\,d\,e^{13}-3023656976384\,a^{25}\,b^3\,c^{12}\,d\,e^{13}\right)+1185410973696\,a^{23}\,b\,c^{13}\,e^{12}-245760\,a^{12}\,b^{23}\,c^2\,e^{12}+10911744\,a^{13}\,b^{21}\,c^3\,e^{12}-220397568\,a^{14}\,b^{19}\,c^4\,e^{12}+2673082368\,a^{15}\,b^{17}\,c^5\,e^{12}-21630025728\,a^{16}\,b^{15}\,c^6\,e^{12}+122607894528\,a^{17}\,b^{13}\,c^7\,e^{12}-496773365760\,a^{18}\,b^{11}\,c^8\,e^{12}+1438679826432\,a^{19}\,b^9\,c^9\,e^{12}-2918430277632\,a^{20}\,b^7\,c^{10}\,e^{12}+3949222428672\,a^{21}\,b^5\,c^{11}\,e^{12}-3208340570112\,a^{22}\,b^3\,c^{12}\,e^{12}\right)+x\,\left(271790899200\,a^{20}\,c^{14}\,e^{12}-1101055131648\,a^{19}\,b^2\,c^{13}\,e^{12}+1747313491968\,a^{18}\,b^4\,c^{12}\,e^{12}-1543847804928\,a^{17}\,b^6\,c^{11}\,e^{12}+869815812096\,a^{16}\,b^8\,c^{10}\,e^{12}-333226967040\,a^{15}\,b^{10}\,c^9\,e^{12}+89374851072\,a^{14}\,b^{12}\,c^8\,e^{12}-16878108672\,a^{13}\,b^{14}\,c^7\,e^{12}+2207803392\,a^{12}\,b^{16}\,c^6\,e^{12}-191038464\,a^{11}\,b^{18}\,c^5\,e^{12}+9861120\,a^{10}\,b^{20}\,c^4\,e^{12}-230400\,a^9\,b^{22}\,c^3\,e^{12}\right)+271790899200\,a^{20}\,c^{14}\,d\,e^{11}-230400\,a^9\,b^{22}\,c^3\,d\,e^{11}+9861120\,a^{10}\,b^{20}\,c^4\,d\,e^{11}-191038464\,a^{11}\,b^{18}\,c^5\,d\,e^{11}+2207803392\,a^{12}\,b^{16}\,c^6\,d\,e^{11}-16878108672\,a^{13}\,b^{14}\,c^7\,d\,e^{11}+89374851072\,a^{14}\,b^{12}\,c^8\,d\,e^{11}-333226967040\,a^{15}\,b^{10}\,c^9\,d\,e^{11}+869815812096\,a^{16}\,b^8\,c^{10}\,d\,e^{11}-1543847804928\,a^{17}\,b^6\,c^{11}\,d\,e^{11}+1747313491968\,a^{18}\,b^4\,c^{12}\,d\,e^{11}-1101055131648\,a^{19}\,b^2\,c^{13}\,d\,e^{11}\right)-\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,\left(x\,\left(1099511627776\,a^{26}\,b\,c^{13}\,e^{14}-3023656976384\,a^{25}\,b^3\,c^{12}\,e^{14}+3779571220480\,a^{24}\,b^5\,c^{11}\,e^{14}-2834678415360\,a^{23}\,b^7\,c^{10}\,e^{14}+1417339207680\,a^{22}\,b^9\,c^9\,e^{14}-496068722688\,a^{21}\,b^{11}\,c^8\,e^{14}+124017180672\,a^{20}\,b^{13}\,c^7\,e^{14}-22145925120\,a^{19}\,b^{15}\,c^6\,e^{14}+2768240640\,a^{18}\,b^{17}\,c^5\,e^{14}-230686720\,a^{17}\,b^{19}\,c^4\,e^{14}+11534336\,a^{16}\,b^{21}\,c^3\,e^{14}-262144\,a^{15}\,b^{23}\,c^2\,e^{14}\right)+1099511627776\,a^{26}\,b\,c^{13}\,d\,e^{13}-262144\,a^{15}\,b^{23}\,c^2\,d\,e^{13}+11534336\,a^{16}\,b^{21}\,c^3\,d\,e^{13}-230686720\,a^{17}\,b^{19}\,c^4\,d\,e^{13}+2768240640\,a^{18}\,b^{17}\,c^5\,d\,e^{13}-22145925120\,a^{19}\,b^{15}\,c^6\,d\,e^{13}+124017180672\,a^{20}\,b^{13}\,c^7\,d\,e^{13}-496068722688\,a^{21}\,b^{11}\,c^8\,d\,e^{13}+1417339207680\,a^{22}\,b^9\,c^9\,d\,e^{13}-2834678415360\,a^{23}\,b^7\,c^{10}\,d\,e^{13}+3779571220480\,a^{24}\,b^5\,c^{11}\,d\,e^{13}-3023656976384\,a^{25}\,b^3\,c^{12}\,d\,e^{13}\right)-1185410973696\,a^{23}\,b\,c^{13}\,e^{12}+245760\,a^{12}\,b^{23}\,c^2\,e^{12}-10911744\,a^{13}\,b^{21}\,c^3\,e^{12}+220397568\,a^{14}\,b^{19}\,c^4\,e^{12}-2673082368\,a^{15}\,b^{17}\,c^5\,e^{12}+21630025728\,a^{16}\,b^{15}\,c^6\,e^{12}-122607894528\,a^{17}\,b^{13}\,c^7\,e^{12}+496773365760\,a^{18}\,b^{11}\,c^8\,e^{12}-1438679826432\,a^{19}\,b^9\,c^9\,e^{12}+2918430277632\,a^{20}\,b^7\,c^{10}\,e^{12}-3949222428672\,a^{21}\,b^5\,c^{11}\,e^{12}+3208340570112\,a^{22}\,b^3\,c^{12}\,e^{12}\right)+x\,\left(271790899200\,a^{20}\,c^{14}\,e^{12}-1101055131648\,a^{19}\,b^2\,c^{13}\,e^{12}+1747313491968\,a^{18}\,b^4\,c^{12}\,e^{12}-1543847804928\,a^{17}\,b^6\,c^{11}\,e^{12}+869815812096\,a^{16}\,b^8\,c^{10}\,e^{12}-333226967040\,a^{15}\,b^{10}\,c^9\,e^{12}+89374851072\,a^{14}\,b^{12}\,c^8\,e^{12}-16878108672\,a^{13}\,b^{14}\,c^7\,e^{12}+2207803392\,a^{12}\,b^{16}\,c^6\,e^{12}-191038464\,a^{11}\,b^{18}\,c^5\,e^{12}+9861120\,a^{10}\,b^{20}\,c^4\,e^{12}-230400\,a^9\,b^{22}\,c^3\,e^{12}\right)+271790899200\,a^{20}\,c^{14}\,d\,e^{11}-230400\,a^9\,b^{22}\,c^3\,d\,e^{11}+9861120\,a^{10}\,b^{20}\,c^4\,d\,e^{11}-191038464\,a^{11}\,b^{18}\,c^5\,d\,e^{11}+2207803392\,a^{12}\,b^{16}\,c^6\,d\,e^{11}-16878108672\,a^{13}\,b^{14}\,c^7\,d\,e^{11}+89374851072\,a^{14}\,b^{12}\,c^8\,d\,e^{11}-333226967040\,a^{15}\,b^{10}\,c^9\,d\,e^{11}+869815812096\,a^{16}\,b^8\,c^{10}\,d\,e^{11}-1543847804928\,a^{17}\,b^6\,c^{11}\,d\,e^{11}+1747313491968\,a^{18}\,b^4\,c^{12}\,d\,e^{11}-1101055131648\,a^{19}\,b^2\,c^{13}\,d\,e^{11}\right)+191102976000\,a^{17}\,c^{14}\,e^{10}+2851200\,a^9\,b^{16}\,c^6\,e^{10}-92568960\,a^{10}\,b^{14}\,c^7\,e^{10}+1312630272\,a^{11}\,b^{12}\,c^8\,e^{10}-10611136512\,a^{12}\,b^{10}\,c^9\,e^{10}+53445353472\,a^{13}\,b^8\,c^{10}\,e^{10}-171591892992\,a^{14}\,b^6\,c^{11}\,e^{10}+342580396032\,a^{15}\,b^4\,c^{12}\,e^{10}-388363714560\,a^{16}\,b^2\,c^{13}\,e^{10}}\right)\,\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2-2621440\,a^{16}\,b^2\,c^9\,e^2+2949120\,a^{15}\,b^4\,c^8\,e^2-1966080\,a^{14}\,b^6\,c^7\,e^2+860160\,a^{13}\,b^8\,c^6\,e^2-258048\,a^{12}\,b^{10}\,c^5\,e^2+53760\,a^{11}\,b^{12}\,c^4\,e^2-7680\,a^{10}\,b^{14}\,c^3\,e^2+720\,a^9\,b^{16}\,c^2\,e^2-40\,a^8\,b^{18}\,c\,e^2+a^7\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"- ((x^4*(15*b^6*e^3 + 324*a^3*c^3*e^3 + 450*b^5*c*d^2*e^3 + 25*a^2*b^2*c^2*e^3 + 12600*a^2*c^4*d^4*e^3 + 1050*b^4*c^2*d^4*e^3 - 91*a*b^4*c*e^3 - 3405*a*b^3*c^2*d^2*e^3 + 5880*a^2*b*c^3*d^2*e^3 - 7770*a*b^2*c^3*d^4*e^3))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^6*(30*b^5*c*e^5 - 227*a*b^3*c^2*e^5 + 392*a^2*b*c^3*e^5 + 5040*a^2*c^4*d^2*e^5 + 420*b^4*c^2*d^2*e^5 - 3108*a*b^2*c^3*d^2*e^5))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x*(30*b^6*d^3 + 90*b^5*c*d^5 + 648*a^3*c^3*d^3 + 720*a^2*c^4*d^7 + 60*b^4*c^2*d^7 + 25*a*b^5*d - 681*a*b^3*c^2*d^5 + 1176*a^2*b*c^3*d^5 - 444*a*b^2*c^3*d^7 + 50*a^2*b^2*c^2*d^3 - 194*a^2*b^3*c*d + 364*a^3*b*c^2*d - 182*a*b^4*c*d^3))/(4*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^5*(1680*a^2*c^4*d^3*e^4 + 140*b^4*c^2*d^3*e^4 + 30*b^5*c*d*e^4 - 227*a*b^3*c^2*d*e^4 + 392*a^2*b*c^3*d*e^4 - 1036*a*b^2*c^3*d^3*e^4))/(4*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^8*(60*a^2*c^4*e^7 + 5*b^4*c^2*e^7 - 37*a*b^2*c^3*e^7))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^2*(90*b^6*d^2*e + 25*a*b^5*e + 1944*a^3*c^3*d^2*e + 5040*a^2*c^4*d^6*e + 420*b^4*c^2*d^6*e - 194*a^2*b^3*c*e + 364*a^3*b*c^2*e + 450*b^5*c*d^4*e - 546*a*b^4*c*d^2*e - 3405*a*b^3*c^2*d^4*e + 5880*a^2*b*c^3*d^4*e - 3108*a*b^2*c^3*d^6*e + 150*a^2*b^2*c^2*d^2*e))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^3*(15*b^6*d*e^2 + 324*a^3*c^3*d*e^2 + 150*b^5*c*d^3*e^2 + 2520*a^2*c^4*d^5*e^2 + 210*b^4*c^2*d^5*e^2 - 91*a*b^4*c*d*e^2 + 25*a^2*b^2*c^2*d*e^2 - 1135*a*b^3*c^2*d^3*e^2 + 1960*a^2*b*c^3*d^3*e^2 - 1554*a*b^2*c^3*d^5*e^2))/(2*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^7*(60*a^2*c^4*d*e^6 + 5*b^4*c^2*d*e^6 - 37*a*b^2*c^3*d*e^6))/(a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (8*a^2*b^4 + 128*a^4*c^2 + 15*b^6*d^4 - 64*a^3*b^2*c + 25*a*b^5*d^2 + 30*b^5*c*d^6 + 324*a^3*c^3*d^4 + 180*a^2*c^4*d^8 + 15*b^4*c^2*d^8 - 194*a^2*b^3*c*d^2 + 364*a^3*b*c^2*d^2 - 227*a*b^3*c^2*d^6 + 392*a^2*b*c^3*d^6 - 111*a*b^2*c^3*d^8 + 25*a^2*b^2*c^2*d^4 - 91*a*b^4*c*d^4)/(8*a*e*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))/(x^3*(10*b^2*d^2*e^3 + 84*c^2*d^6*e^3 + 2*a*b*e^3 + 20*a*c*d^2*e^3 + 70*b*c*d^4*e^3) + x^7*(36*c^2*d^2*e^7 + 2*b*c*e^7) + x*(a^2*e + 5*b^2*d^4*e + 9*c^2*d^8*e + 6*a*b*d^2*e + 10*a*c*d^4*e + 14*b*c*d^6*e) + x^4*(5*b^2*d*e^4 + 126*c^2*d^5*e^4 + 10*a*c*d*e^4 + 70*b*c*d^3*e^4) + a^2*d + x^2*(10*b^2*d^3*e^2 + 36*c^2*d^7*e^2 + 6*a*b*d*e^2 + 20*a*c*d^3*e^2 + 42*b*c*d^5*e^2) + x^6*(84*c^2*d^3*e^6 + 14*b*c*d*e^6) + x^5*(b^2*e^5 + 126*c^2*d^4*e^5 + 2*a*c*e^5 + 42*b*c*d^2*e^5) + b^2*d^5 + c^2*d^9 + c^2*e^9*x^9 + 2*a*b*d^3 + 2*a*c*d^5 + 2*b*c*d^7 + 9*c^2*d*e^8*x^8) - atan(((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) - 1185410973696*a^23*b*c^13*e^12 + 245760*a^12*b^23*c^2*e^12 - 10911744*a^13*b^21*c^3*e^12 + 220397568*a^14*b^19*c^4*e^12 - 2673082368*a^15*b^17*c^5*e^12 + 21630025728*a^16*b^15*c^6*e^12 - 122607894528*a^17*b^13*c^7*e^12 + 496773365760*a^18*b^11*c^8*e^12 - 1438679826432*a^19*b^9*c^9*e^12 + 2918430277632*a^20*b^7*c^10*e^12 - 3949222428672*a^21*b^5*c^11*e^12 + 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11)*1i + (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) + 1185410973696*a^23*b*c^13*e^12 - 245760*a^12*b^23*c^2*e^12 + 10911744*a^13*b^21*c^3*e^12 - 220397568*a^14*b^19*c^4*e^12 + 2673082368*a^15*b^17*c^5*e^12 - 21630025728*a^16*b^15*c^6*e^12 + 122607894528*a^17*b^13*c^7*e^12 - 496773365760*a^18*b^11*c^8*e^12 + 1438679826432*a^19*b^9*c^9*e^12 - 2918430277632*a^20*b^7*c^10*e^12 + 3949222428672*a^21*b^5*c^11*e^12 - 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11)*1i)/((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) + 1185410973696*a^23*b*c^13*e^12 - 245760*a^12*b^23*c^2*e^12 + 10911744*a^13*b^21*c^3*e^12 - 220397568*a^14*b^19*c^4*e^12 + 2673082368*a^15*b^17*c^5*e^12 - 21630025728*a^16*b^15*c^6*e^12 + 122607894528*a^17*b^13*c^7*e^12 - 496773365760*a^18*b^11*c^8*e^12 + 1438679826432*a^19*b^9*c^9*e^12 - 2918430277632*a^20*b^7*c^10*e^12 + 3949222428672*a^21*b^5*c^11*e^12 - 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) - 1185410973696*a^23*b*c^13*e^12 + 245760*a^12*b^23*c^2*e^12 - 10911744*a^13*b^21*c^3*e^12 + 220397568*a^14*b^19*c^4*e^12 - 2673082368*a^15*b^17*c^5*e^12 + 21630025728*a^16*b^15*c^6*e^12 - 122607894528*a^17*b^13*c^7*e^12 + 496773365760*a^18*b^11*c^8*e^12 - 1438679826432*a^19*b^9*c^9*e^12 + 2918430277632*a^20*b^7*c^10*e^12 - 3949222428672*a^21*b^5*c^11*e^12 + 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11) + 191102976000*a^17*c^14*e^10 + 2851200*a^9*b^16*c^6*e^10 - 92568960*a^10*b^14*c^7*e^10 + 1312630272*a^11*b^12*c^8*e^10 - 10611136512*a^12*b^10*c^9*e^10 + 53445353472*a^13*b^8*c^10*e^10 - 171591892992*a^14*b^6*c^11*e^10 + 342580396032*a^15*b^4*c^12*e^10 - 388363714560*a^16*b^2*c^13*e^10))*(-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*2i - atan(((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) - 1185410973696*a^23*b*c^13*e^12 + 245760*a^12*b^23*c^2*e^12 - 10911744*a^13*b^21*c^3*e^12 + 220397568*a^14*b^19*c^4*e^12 - 2673082368*a^15*b^17*c^5*e^12 + 21630025728*a^16*b^15*c^6*e^12 - 122607894528*a^17*b^13*c^7*e^12 + 496773365760*a^18*b^11*c^8*e^12 - 1438679826432*a^19*b^9*c^9*e^12 + 2918430277632*a^20*b^7*c^10*e^12 - 3949222428672*a^21*b^5*c^11*e^12 + 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11)*1i + (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) + 1185410973696*a^23*b*c^13*e^12 - 245760*a^12*b^23*c^2*e^12 + 10911744*a^13*b^21*c^3*e^12 - 220397568*a^14*b^19*c^4*e^12 + 2673082368*a^15*b^17*c^5*e^12 - 21630025728*a^16*b^15*c^6*e^12 + 122607894528*a^17*b^13*c^7*e^12 - 496773365760*a^18*b^11*c^8*e^12 + 1438679826432*a^19*b^9*c^9*e^12 - 2918430277632*a^20*b^7*c^10*e^12 + 3949222428672*a^21*b^5*c^11*e^12 - 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11)*1i)/((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) + 1185410973696*a^23*b*c^13*e^12 - 245760*a^12*b^23*c^2*e^12 + 10911744*a^13*b^21*c^3*e^12 - 220397568*a^14*b^19*c^4*e^12 + 2673082368*a^15*b^17*c^5*e^12 - 21630025728*a^16*b^15*c^6*e^12 + 122607894528*a^17*b^13*c^7*e^12 - 496773365760*a^18*b^11*c^8*e^12 + 1438679826432*a^19*b^9*c^9*e^12 - 2918430277632*a^20*b^7*c^10*e^12 + 3949222428672*a^21*b^5*c^11*e^12 - 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*(x*(1099511627776*a^26*b*c^13*e^14 - 262144*a^15*b^23*c^2*e^14 + 11534336*a^16*b^21*c^3*e^14 - 230686720*a^17*b^19*c^4*e^14 + 2768240640*a^18*b^17*c^5*e^14 - 22145925120*a^19*b^15*c^6*e^14 + 124017180672*a^20*b^13*c^7*e^14 - 496068722688*a^21*b^11*c^8*e^14 + 1417339207680*a^22*b^9*c^9*e^14 - 2834678415360*a^23*b^7*c^10*e^14 + 3779571220480*a^24*b^5*c^11*e^14 - 3023656976384*a^25*b^3*c^12*e^14) + 1099511627776*a^26*b*c^13*d*e^13 - 262144*a^15*b^23*c^2*d*e^13 + 11534336*a^16*b^21*c^3*d*e^13 - 230686720*a^17*b^19*c^4*d*e^13 + 2768240640*a^18*b^17*c^5*d*e^13 - 22145925120*a^19*b^15*c^6*d*e^13 + 124017180672*a^20*b^13*c^7*d*e^13 - 496068722688*a^21*b^11*c^8*d*e^13 + 1417339207680*a^22*b^9*c^9*d*e^13 - 2834678415360*a^23*b^7*c^10*d*e^13 + 3779571220480*a^24*b^5*c^11*d*e^13 - 3023656976384*a^25*b^3*c^12*d*e^13) - 1185410973696*a^23*b*c^13*e^12 + 245760*a^12*b^23*c^2*e^12 - 10911744*a^13*b^21*c^3*e^12 + 220397568*a^14*b^19*c^4*e^12 - 2673082368*a^15*b^17*c^5*e^12 + 21630025728*a^16*b^15*c^6*e^12 - 122607894528*a^17*b^13*c^7*e^12 + 496773365760*a^18*b^11*c^8*e^12 - 1438679826432*a^19*b^9*c^9*e^12 + 2918430277632*a^20*b^7*c^10*e^12 - 3949222428672*a^21*b^5*c^11*e^12 + 3208340570112*a^22*b^3*c^12*e^12) + x*(271790899200*a^20*c^14*e^12 - 230400*a^9*b^22*c^3*e^12 + 9861120*a^10*b^20*c^4*e^12 - 191038464*a^11*b^18*c^5*e^12 + 2207803392*a^12*b^16*c^6*e^12 - 16878108672*a^13*b^14*c^7*e^12 + 89374851072*a^14*b^12*c^8*e^12 - 333226967040*a^15*b^10*c^9*e^12 + 869815812096*a^16*b^8*c^10*e^12 - 1543847804928*a^17*b^6*c^11*e^12 + 1747313491968*a^18*b^4*c^12*e^12 - 1101055131648*a^19*b^2*c^13*e^12) + 271790899200*a^20*c^14*d*e^11 - 230400*a^9*b^22*c^3*d*e^11 + 9861120*a^10*b^20*c^4*d*e^11 - 191038464*a^11*b^18*c^5*d*e^11 + 2207803392*a^12*b^16*c^6*d*e^11 - 16878108672*a^13*b^14*c^7*d*e^11 + 89374851072*a^14*b^12*c^8*d*e^11 - 333226967040*a^15*b^10*c^9*d*e^11 + 869815812096*a^16*b^8*c^10*d*e^11 - 1543847804928*a^17*b^6*c^11*d*e^11 + 1747313491968*a^18*b^4*c^12*d*e^11 - 1101055131648*a^19*b^2*c^13*d*e^11) + 191102976000*a^17*c^14*e^10 + 2851200*a^9*b^16*c^6*e^10 - 92568960*a^10*b^14*c^7*e^10 + 1312630272*a^11*b^12*c^8*e^10 - 10611136512*a^12*b^10*c^9*e^10 + 53445353472*a^13*b^8*c^10*e^10 - 171591892992*a^14*b^6*c^11*e^10 + 342580396032*a^15*b^4*c^12*e^10 - 388363714560*a^16*b^2*c^13*e^10))*(-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2 + 1048576*a^17*c^10*e^2 - 40*a^8*b^18*c*e^2 + 720*a^9*b^16*c^2*e^2 - 7680*a^10*b^14*c^3*e^2 + 53760*a^11*b^12*c^4*e^2 - 258048*a^12*b^10*c^5*e^2 + 860160*a^13*b^8*c^6*e^2 - 1966080*a^14*b^6*c^7*e^2 + 2949120*a^15*b^4*c^8*e^2 - 2621440*a^16*b^2*c^9*e^2)))^(1/2)*2i","B"
637,1,21465,325,22.450053,"\text{Not used}","int(1/((d + e*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","\frac{\ln\left(\left(\frac{27\,c^4\,e^{14}\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^2\,\left(16\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-8\,a\,b^3\,c-7\,a\,b^2\,c^2\,d^2+b^5+b^4\,c\,d^2\right)}{a^9\,{\left(4\,a\,c-b^2\right)}^6}-\frac{\left(3\,b-3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{9\,c^3\,e^{15}\,\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(-10\,a^3\,c^3+71\,a^2\,b^2\,c^2+90\,a^2\,b\,c^3\,d^2-33\,a\,b^4\,c-47\,a\,b^3\,c^2\,d^2+4\,b^6+6\,b^5\,c\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}-\frac{\left(3\,b-3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{6\,c^2\,e^{16}\,\left(-20\,a^3\,b\,c^3+100\,a^3\,c^4\,d^2+46\,a^2\,b^3\,c^2-30\,a^2\,b^2\,c^3\,d^2-18\,a\,b^5\,c-2\,a\,b^4\,c^2\,d^2+2\,b^7+b^6\,c\,d^2\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{6\,c^3\,e^{18}\,x^2\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(3\,b-3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^4}+\frac{12\,c^3\,d\,e^{17}\,x\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^4\,e}+\frac{9\,b\,c^4\,e^{17}\,x^2\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}+\frac{18\,b\,c^4\,d\,e^{16}\,x\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^4\,e}+\frac{27\,c^5\,e^{16}\,x^2\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,{\left(4\,a\,c-b^2\right)}^6}+\frac{54\,c^5\,d\,e^{15}\,x\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,{\left(4\,a\,c-b^2\right)}^6}\right)\,\left(\frac{27\,c^4\,e^{14}\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^2\,\left(16\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-8\,a\,b^3\,c-7\,a\,b^2\,c^2\,d^2+b^5+b^4\,c\,d^2\right)}{a^9\,{\left(4\,a\,c-b^2\right)}^6}-\frac{\left(3\,b+3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{9\,c^3\,e^{15}\,\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(-10\,a^3\,c^3+71\,a^2\,b^2\,c^2+90\,a^2\,b\,c^3\,d^2-33\,a\,b^4\,c-47\,a\,b^3\,c^2\,d^2+4\,b^6+6\,b^5\,c\,d^2\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}-\frac{\left(3\,b+3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{6\,c^2\,e^{16}\,\left(-20\,a^3\,b\,c^3+100\,a^3\,c^4\,d^2+46\,a^2\,b^3\,c^2-30\,a^2\,b^2\,c^3\,d^2-18\,a\,b^5\,c-2\,a\,b^4\,c^2\,d^2+2\,b^7+b^6\,c\,d^2\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{6\,c^3\,e^{18}\,x^2\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(3\,b+3\,a^4\,e\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^4}+\frac{12\,c^3\,d\,e^{17}\,x\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^4\,e}+\frac{9\,b\,c^4\,e^{17}\,x^2\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}+\frac{18\,b\,c^4\,d\,e^{16}\,x\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^4\,e}+\frac{27\,c^5\,e^{16}\,x^2\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,{\left(4\,a\,c-b^2\right)}^6}+\frac{54\,c^5\,d\,e^{15}\,x\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,{\left(4\,a\,c-b^2\right)}^6}\right)\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)}-\frac{\frac{x^4\,\left(100\,a^3\,c^3\,e^3+14\,a^2\,b^2\,c^2\,e^3+2070\,a^2\,b\,c^3\,d^2\,e^3+4200\,a^2\,c^4\,d^4\,e^3-36\,a\,b^4\,c\,e^3-1305\,a\,b^3\,c^2\,d^2\,e^3-2940\,a\,b^2\,c^3\,d^4\,e^3+6\,b^6\,e^3+180\,b^5\,c\,d^2\,e^3+420\,b^4\,c^2\,d^4\,e^3\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^6\,\left(46\,a^2\,b\,c^3\,e^5+560\,a^2\,c^4\,d^2\,e^5-29\,a\,b^3\,c^2\,e^5-392\,a\,b^2\,c^3\,d^2\,e^5+4\,b^5\,c\,e^5+56\,b^4\,c^2\,d^2\,e^5\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x\,\left(122\,a^3\,b\,c^2\,d+200\,a^3\,c^3\,d^3-68\,a^2\,b^3\,c\,d+28\,a^2\,b^2\,c^2\,d^3+414\,a^2\,b\,c^3\,d^5+240\,a^2\,c^4\,d^7+9\,a\,b^5\,d-72\,a\,b^4\,c\,d^3-261\,a\,b^3\,c^2\,d^5-168\,a\,b^2\,c^3\,d^7+12\,b^6\,d^3+36\,b^5\,c\,d^5+24\,b^4\,c^2\,d^7\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^5\,\left(138\,a^2\,b\,c^3\,d\,e^4+560\,a^2\,c^4\,d^3\,e^4-87\,a\,b^3\,c^2\,d\,e^4-392\,a\,b^2\,c^3\,d^3\,e^4+12\,b^5\,c\,d\,e^4+56\,b^4\,c^2\,d^3\,e^4\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^8\,\left(10\,a^2\,c^4\,e^7-7\,a\,b^2\,c^3\,e^7+b^4\,c^2\,e^7\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x^2\,\left(122\,e\,a^3\,b\,c^2+600\,e\,a^3\,c^3\,d^2-68\,e\,a^2\,b^3\,c+84\,e\,a^2\,b^2\,c^2\,d^2+2070\,e\,a^2\,b\,c^3\,d^4+1680\,e\,a^2\,c^4\,d^6+9\,e\,a\,b^5-216\,e\,a\,b^4\,c\,d^2-1305\,e\,a\,b^3\,c^2\,d^4-1176\,e\,a\,b^2\,c^3\,d^6+36\,e\,b^6\,d^2+180\,e\,b^5\,c\,d^4+168\,e\,b^4\,c^2\,d^6\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x^3\,\left(100\,a^3\,c^3\,d\,e^2+14\,a^2\,b^2\,c^2\,d\,e^2+690\,a^2\,b\,c^3\,d^3\,e^2+840\,a^2\,c^4\,d^5\,e^2-36\,a\,b^4\,c\,d\,e^2-435\,a\,b^3\,c^2\,d^3\,e^2-588\,a\,b^2\,c^3\,d^5\,e^2+6\,b^6\,d\,e^2+60\,b^5\,c\,d^3\,e^2+84\,b^4\,c^2\,d^5\,e^2\right)}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{12\,x^7\,\left(10\,d\,a^2\,c^4\,e^6-7\,d\,a\,b^2\,c^3\,e^6+d\,b^4\,c^2\,e^6\right)}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{32\,a^4\,c^2-16\,a^3\,b^2\,c+122\,a^3\,b\,c^2\,d^2+100\,a^3\,c^3\,d^4+2\,a^2\,b^4-68\,a^2\,b^3\,c\,d^2+14\,a^2\,b^2\,c^2\,d^4+138\,a^2\,b\,c^3\,d^6+60\,a^2\,c^4\,d^8+9\,a\,b^5\,d^2-36\,a\,b^4\,c\,d^4-87\,a\,b^3\,c^2\,d^6-42\,a\,b^2\,c^3\,d^8+6\,b^6\,d^4+12\,b^5\,c\,d^6+6\,b^4\,c^2\,d^8}{4\,e\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}{x^4\,\left(15\,b^2\,d^2\,e^4+140\,b\,c\,d^4\,e^4+2\,a\,b\,e^4+210\,c^2\,d^6\,e^4+30\,a\,c\,d^2\,e^4\right)+x^8\,\left(45\,c^2\,d^2\,e^8+2\,b\,c\,e^8\right)+x^5\,\left(6\,b^2\,d\,e^5+112\,b\,c\,d^3\,e^5+252\,c^2\,d^5\,e^5+12\,a\,c\,d\,e^5\right)+x^3\,\left(20\,b^2\,d^3\,e^3+112\,b\,c\,d^5\,e^3+8\,a\,b\,d\,e^3+120\,c^2\,d^7\,e^3+40\,a\,c\,d^3\,e^3\right)+x^7\,\left(120\,c^2\,d^3\,e^7+16\,b\,c\,d\,e^7\right)+x\,\left(2\,e\,a^2\,d+8\,e\,a\,b\,d^3+12\,e\,a\,c\,d^5+6\,e\,b^2\,d^5+16\,e\,b\,c\,d^7+10\,e\,c^2\,d^9\right)+x^6\,\left(b^2\,e^6+56\,b\,c\,d^2\,e^6+210\,c^2\,d^4\,e^6+2\,a\,c\,e^6\right)+x^2\,\left(a^2\,e^2+12\,a\,b\,d^2\,e^2+30\,a\,c\,d^4\,e^2+15\,b^2\,d^4\,e^2+56\,b\,c\,d^6\,e^2+45\,c^2\,d^8\,e^2\right)+a^2\,d^2+b^2\,d^6+c^2\,d^{10}+c^2\,e^{10}\,x^{10}+2\,a\,b\,d^4+2\,a\,c\,d^6+2\,b\,c\,d^8+10\,c^2\,d\,e^9\,x^9}-\frac{3\,b\,\ln\left(d+e\,x\right)}{a^4\,e}-\frac{3\,\mathrm{atan}\left(\frac{x^2\,\left(\frac{\left(\frac{27000\,a^6\,c^{11}\,e^{16}-56700\,a^5\,b^2\,c^{10}\,e^{16}+47790\,a^4\,b^4\,c^9\,e^{16}-20601\,a^3\,b^6\,c^8\,e^{16}+4779\,a^2\,b^8\,c^7\,e^{16}-567\,a\,b^{10}\,c^6\,e^{16}+27\,b^{12}\,c^5\,e^{16}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}-\frac{\left(\frac{129600\,a^9\,b\,c^{10}\,e^{17}-223200\,a^8\,b^3\,c^9\,e^{17}+156276\,a^7\,b^5\,c^8\,e^{17}-57204\,a^6\,b^7\,c^7\,e^{17}+11583\,a^5\,b^9\,c^6\,e^{17}-1233\,a^4\,b^{11}\,c^5\,e^{17}+54\,a^3\,b^{13}\,c^4\,e^{17}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}-\frac{\left(\frac{153600\,a^{13}\,c^{10}\,e^{18}-199680\,a^{12}\,b^2\,c^9\,e^{18}+100608\,a^{11}\,b^4\,c^8\,e^{18}-22272\,a^{10}\,b^6\,c^7\,e^{18}+792\,a^9\,b^8\,c^6\,e^{18}+588\,a^8\,b^{10}\,c^5\,e^{18}-108\,a^7\,b^{12}\,c^4\,e^{18}+6\,a^6\,b^{14}\,c^3\,e^{18}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}-\frac{\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)\,\left(163840\,a^{16}\,b\,c^9\,e^{19}-294912\,a^{15}\,b^3\,c^8\,e^{19}+227328\,a^{14}\,b^5\,c^7\,e^{19}-97280\,a^{13}\,b^7\,c^6\,e^{19}+24960\,a^{12}\,b^9\,c^5\,e^{19}-3840\,a^{11}\,b^{11}\,c^4\,e^{19}+328\,a^{10}\,b^{13}\,c^3\,e^{19}-12\,a^9\,b^{15}\,c^2\,e^{19}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)\,\left(4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+96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3200\,a^8\,b^3\,c^9\,d^2\,e^{15}+116532\,a^7\,b^6\,c^7\,e^{15}+156276\,a^7\,b^5\,c^8\,d^2\,e^{15}-40941\,a^6\,b^8\,c^6\,e^{15}-57204\,a^6\,b^7\,c^7\,d^2\,e^{15}+8046\,a^5\,b^{10}\,c^5\,e^{15}+11583\,a^5\,b^9\,c^6\,d^2\,e^{15}-837\,a^4\,b^{12}\,c^4\,e^{15}-1233\,a^4\,b^{11}\,c^5\,d^2\,e^{15}+36\,a^3\,b^{14}\,c^3\,e^{15}+54\,a^3\,b^{13}\,c^4\,d^2\,e^{15}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}-\frac{\left(\frac{-30720\,a^{13}\,b\,c^9\,e^{16}+153600\,a^{13}\,c^{10}\,d^2\,e^{16}+101376\,a^{12}\,b^3\,c^8\,e^{16}-199680\,a^{12}\,b^2\,c^9\,d^2\,e^{16}-109824\,a^{11}\,b^5\,c^7\,e^{16}+100608\,a^{11}\,b^4\,c^8\,d^2\,e^{16}+59136\,a^{10}\,b^7\,c^6\,e^{16}-22272\,a^{10}\,b^6\,c^7\,d^2\,e^{16}-17976\,a^9\,b^9\,c^5\,e^{16}+792\,a^9\,b^8\,c^6\,d^2\,e^{16}+3156\,a^8\,b^{11}\,c^4\,e^{16}+588\,a^8\,b^{10}\,c^5\,d^2\,e^{16}-300\,a^7\,b^{13}\,c^3\,e^{16}-108\,a^7\,b^{12}\,c^4\,d^2\,e^{16}+12\,a^6\,b^{15}\,c^2\,e^{16}+6\,a^6\,b^{14}\,c^3\,d^2\,e^{16}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}+\frac{\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}-24576\,a^{15}\,b^4\,c^7\,e^{17}+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{14}\,b^6\,c^6\,e^{17}-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{13}\,b^8\,c^5\,e^{17}+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}+960\,a^{12}\,b^{10}\,c^4\,e^{17}-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}-96\,a^{11}\,b^{12}\,c^3\,e^{17}+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^{10}\,b^{14}\,c^2\,e^{17}-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)\,\left(4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{4\,a^4\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\left(\frac{3\,\left(\frac{-30720\,a^{13}\,b\,c^9\,e^{16}+153600\,a^{13}\,c^{10}\,d^2\,e^{16}+101376\,a^{12}\,b^3\,c^8\,e^{16}-199680\,a^{12}\,b^2\,c^9\,d^2\,e^{16}-109824\,a^{11}\,b^5\,c^7\,e^{16}+100608\,a^{11}\,b^4\,c^8\,d^2\,e^{16}+59136\,a^{10}\,b^7\,c^6\,e^{16}-22272\,a^{10}\,b^6\,c^7\,d^2\,e^{16}-17976\,a^9\,b^9\,c^5\,e^{16}+792\,a^9\,b^8\,c^6\,d^2\,e^{16}+3156\,a^8\,b^{11}\,c^4\,e^{16}+588\,a^8\,b^{10}\,c^5\,d^2\,e^{16}-300\,a^7\,b^{13}\,c^3\,e^{16}-108\,a^7\,b^{12}\,c^4\,d^2\,e^{16}+12\,a^6\,b^{15}\,c^2\,e^{16}+6\,a^6\,b^{14}\,c^3\,d^2\,e^{16}}{4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}}+\frac{\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}-24576\,a^{15}\,b^4\,c^7\,e^{17}+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{14}\,b^6\,c^6\,e^{17}-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{13}\,b^8\,c^5\,e^{17}+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}+960\,a^{12}\,b^{10}\,c^4\,e^{17}-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}-96\,a^{11}\,b^{12}\,c^3\,e^{17}+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^{10}\,b^{14}\,c^2\,e^{17}-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)\,\left(4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{4\,a^4\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{3\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}-24576\,a^{15}\,b^4\,c^7\,e^{17}+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{14}\,b^6\,c^6\,e^{17}-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{13}\,b^8\,c^5\,e^{17}+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}+960\,a^{12}\,b^{10}\,c^4\,e^{17}-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}-96\,a^{11}\,b^{12}\,c^3\,e^{17}+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^{10}\,b^{14}\,c^2\,e^{17}-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\right)}{8\,a^4\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)\,\left(4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5+7680\,e\,a^4\,b^3\,c^4-3840\,e\,a^3\,b^5\,c^3+960\,e\,a^2\,b^7\,c^2-120\,e\,a\,b^9\,c+6\,e\,b^{11}\right)}{2\,\left(-4096\,a^9\,c^5\,e^2+5120\,a^8\,b^2\,c^4\,e^2-2560\,a^7\,b^4\,c^3\,e^2+640\,a^6\,b^6\,c^2\,e^2-80\,a^5\,b^8\,c\,e^2+4\,a^4\,b^{10}\,e^2\right)}+\frac{27\,{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^3\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}-24576\,a^{15}\,b^4\,c^7\,e^{17}+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}+15360\,a^{14}\,b^6\,c^6\,e^{17}-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}-5120\,a^{13}\,b^8\,c^5\,e^{17}+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}+960\,a^{12}\,b^{10}\,c^4\,e^{17}-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}-96\,a^{11}\,b^{12}\,c^3\,e^{17}+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}+4\,a^{10}\,b^{14}\,c^2\,e^{17}-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\right)}{64\,a^{12}\,e^3\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(4096\,a^{15}\,c^6-6144\,a^{14}\,b^2\,c^5+3840\,a^{13}\,b^4\,c^4-1280\,a^{12}\,b^6\,c^3+240\,a^{11}\,b^8\,c^2-24\,a^{10}\,b^{10}\,c+a^9\,b^{12}\right)}\right)\,\left(190\,a^4\,c^4-335\,a^3\,b^2\,c^3+180\,a^2\,b^4\,c^2-39\,a\,b^6\,c+3\,b^8\right)\,\left(16\,a^{12}\,b^{12}\,{\left(4\,a\,c-b^2\right)}^{15/2}+65536\,a^{18}\,c^6\,{\left(4\,a\,c-b^2\right)}^{15/2}-384\,a^{13}\,b^{10}\,c\,{\left(4\,a\,c-b^2\right)}^{15/2}+3840\,a^{14}\,b^8\,c^2\,{\left(4\,a\,c-b^2\right)}^{15/2}-20480\,a^{15}\,b^6\,c^3\,{\left(4\,a\,c-b^2\right)}^{15/2}+61440\,a^{16}\,b^4\,c^4\,{\left(4\,a\,c-b^2\right)}^{15/2}-98304\,a^{17}\,b^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{15/2}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{13/2}\,\left(10800\,a^6\,c^8\,e^{14}-32400\,a^5\,b^2\,c^7\,e^{14}+35100\,a^4\,b^4\,c^6\,e^{14}-17280\,a^3\,b^6\,c^5\,e^{14}+4320\,a^2\,b^8\,c^4\,e^{14}-540\,a\,b^{10}\,c^3\,e^{14}+27\,b^{12}\,c^2\,e^{14}\right)\,\left(100\,a^6\,c^6+6100\,a^5\,b^2\,c^5-7675\,a^4\,b^4\,c^4+3840\,a^3\,b^6\,c^3-960\,a^2\,b^8\,c^2+120\,a\,b^{10}\,c-6\,b^{12}\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{2\,a^4\,e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"(log(((27*c^4*e^14*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^2*(b^5 + 16*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 8*a*b^3*c - 7*a*b^2*c^2*d^2))/(a^9*(4*a*c - b^2)^6) - ((3*b - 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*((9*c^3*e^15*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)*(4*b^6 - 10*a^3*c^3 + 6*b^5*c*d^2 + 71*a^2*b^2*c^2 - 33*a*b^4*c - 47*a*b^3*c^2*d^2 + 90*a^2*b*c^3*d^2))/(a^6*(4*a*c - b^2)^4) - ((3*b - 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*((6*c^2*e^16*(2*b^7 - 20*a^3*b*c^3 + b^6*c*d^2 + 46*a^2*b^3*c^2 + 100*a^3*c^4*d^2 - 18*a*b^5*c - 2*a*b^4*c^2*d^2 - 30*a^2*b^2*c^3*d^2))/(a^3*(4*a*c - b^2)^2) + (6*c^3*e^18*x^2*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*(4*a*c - b^2)^2) + (b*c^2*e^16*(3*b - 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^4 + (12*c^3*d*e^17*x*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*(4*a*c - b^2)^2)))/(4*a^4*e) + (9*b*c^4*e^17*x^2*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*(4*a*c - b^2)^4) + (18*b*c^4*d*e^16*x*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*(4*a*c - b^2)^4)))/(4*a^4*e) + (27*c^5*e^16*x^2*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*(4*a*c - b^2)^6) + (54*c^5*d*e^15*x*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*(4*a*c - b^2)^6))*((27*c^4*e^14*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^2*(b^5 + 16*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 8*a*b^3*c - 7*a*b^2*c^2*d^2))/(a^9*(4*a*c - b^2)^6) - ((3*b + 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*((9*c^3*e^15*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)*(4*b^6 - 10*a^3*c^3 + 6*b^5*c*d^2 + 71*a^2*b^2*c^2 - 33*a*b^4*c - 47*a*b^3*c^2*d^2 + 90*a^2*b*c^3*d^2))/(a^6*(4*a*c - b^2)^4) - ((3*b + 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*((6*c^2*e^16*(2*b^7 - 20*a^3*b*c^3 + b^6*c*d^2 + 46*a^2*b^3*c^2 + 100*a^3*c^4*d^2 - 18*a*b^5*c - 2*a*b^4*c^2*d^2 - 30*a^2*b^2*c^3*d^2))/(a^3*(4*a*c - b^2)^2) + (6*c^3*e^18*x^2*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*(4*a*c - b^2)^2) + (b*c^2*e^16*(3*b + 3*a^4*e*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*(4*a*c - b^2)^5))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/a^4 + (12*c^3*d*e^17*x*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*(4*a*c - b^2)^2)))/(4*a^4*e) + (9*b*c^4*e^17*x^2*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*(4*a*c - b^2)^4) + (18*b*c^4*d*e^16*x*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*(4*a*c - b^2)^4)))/(4*a^4*e) + (27*c^5*e^16*x^2*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*(4*a*c - b^2)^6) + (54*c^5*d*e^15*x*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*(4*a*c - b^2)^6)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - ((x^4*(6*b^6*e^3 + 100*a^3*c^3*e^3 + 180*b^5*c*d^2*e^3 + 14*a^2*b^2*c^2*e^3 + 4200*a^2*c^4*d^4*e^3 + 420*b^4*c^2*d^4*e^3 - 36*a*b^4*c*e^3 - 1305*a*b^3*c^2*d^2*e^3 + 2070*a^2*b*c^3*d^2*e^3 - 2940*a*b^2*c^3*d^4*e^3))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^6*(4*b^5*c*e^5 - 29*a*b^3*c^2*e^5 + 46*a^2*b*c^3*e^5 + 560*a^2*c^4*d^2*e^5 + 56*b^4*c^2*d^2*e^5 - 392*a*b^2*c^3*d^2*e^5))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x*(12*b^6*d^3 + 36*b^5*c*d^5 + 200*a^3*c^3*d^3 + 240*a^2*c^4*d^7 + 24*b^4*c^2*d^7 + 9*a*b^5*d - 261*a*b^3*c^2*d^5 + 414*a^2*b*c^3*d^5 - 168*a*b^2*c^3*d^7 + 28*a^2*b^2*c^2*d^3 - 68*a^2*b^3*c*d + 122*a^3*b*c^2*d - 72*a*b^4*c*d^3))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^5*(560*a^2*c^4*d^3*e^4 + 56*b^4*c^2*d^3*e^4 + 12*b^5*c*d*e^4 - 87*a*b^3*c^2*d*e^4 + 138*a^2*b*c^3*d*e^4 - 392*a*b^2*c^3*d^3*e^4))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^8*(10*a^2*c^4*e^7 + b^4*c^2*e^7 - 7*a*b^2*c^3*e^7))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x^2*(36*b^6*d^2*e + 9*a*b^5*e + 600*a^3*c^3*d^2*e + 1680*a^2*c^4*d^6*e + 168*b^4*c^2*d^6*e - 68*a^2*b^3*c*e + 122*a^3*b*c^2*e + 180*b^5*c*d^4*e - 216*a*b^4*c*d^2*e - 1305*a*b^3*c^2*d^4*e + 2070*a^2*b*c^3*d^4*e - 1176*a*b^2*c^3*d^6*e + 84*a^2*b^2*c^2*d^2*e))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x^3*(6*b^6*d*e^2 + 100*a^3*c^3*d*e^2 + 60*b^5*c*d^3*e^2 + 840*a^2*c^4*d^5*e^2 + 84*b^4*c^2*d^5*e^2 - 36*a*b^4*c*d*e^2 + 14*a^2*b^2*c^2*d*e^2 - 435*a*b^3*c^2*d^3*e^2 + 690*a^2*b*c^3*d^3*e^2 - 588*a*b^2*c^3*d^5*e^2))/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + (12*x^7*(10*a^2*c^4*d*e^6 + b^4*c^2*d*e^6 - 7*a*b^2*c^3*d*e^6))/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + (2*a^2*b^4 + 32*a^4*c^2 + 6*b^6*d^4 - 16*a^3*b^2*c + 9*a*b^5*d^2 + 12*b^5*c*d^6 + 100*a^3*c^3*d^4 + 60*a^2*c^4*d^8 + 6*b^4*c^2*d^8 - 68*a^2*b^3*c*d^2 + 122*a^3*b*c^2*d^2 - 87*a*b^3*c^2*d^6 + 138*a^2*b*c^3*d^6 - 42*a*b^2*c^3*d^8 + 14*a^2*b^2*c^2*d^4 - 36*a*b^4*c*d^4)/(4*e*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))/(x^4*(15*b^2*d^2*e^4 + 210*c^2*d^6*e^4 + 2*a*b*e^4 + 30*a*c*d^2*e^4 + 140*b*c*d^4*e^4) + x^8*(45*c^2*d^2*e^8 + 2*b*c*e^8) + x^5*(6*b^2*d*e^5 + 252*c^2*d^5*e^5 + 12*a*c*d*e^5 + 112*b*c*d^3*e^5) + x^3*(20*b^2*d^3*e^3 + 120*c^2*d^7*e^3 + 8*a*b*d*e^3 + 40*a*c*d^3*e^3 + 112*b*c*d^5*e^3) + x^7*(120*c^2*d^3*e^7 + 16*b*c*d*e^7) + x*(6*b^2*d^5*e + 10*c^2*d^9*e + 2*a^2*d*e + 8*a*b*d^3*e + 12*a*c*d^5*e + 16*b*c*d^7*e) + x^6*(b^2*e^6 + 210*c^2*d^4*e^6 + 2*a*c*e^6 + 56*b*c*d^2*e^6) + x^2*(a^2*e^2 + 15*b^2*d^4*e^2 + 45*c^2*d^8*e^2 + 12*a*b*d^2*e^2 + 30*a*c*d^4*e^2 + 56*b*c*d^6*e^2) + a^2*d^2 + b^2*d^6 + c^2*d^10 + c^2*e^10*x^10 + 2*a*b*d^4 + 2*a*c*d^6 + 2*b*c*d^8 + 10*c^2*d*e^9*x^9) - (3*b*log(d + e*x))/(a^4*e) - (3*atan((x^2*((((27000*a^6*c^11*e^16 + 27*b^12*c^5*e^16 - 567*a*b^10*c^6*e^16 + 4779*a^2*b^8*c^7*e^16 - 20601*a^3*b^6*c^8*e^16 + 47790*a^4*b^4*c^9*e^16 - 56700*a^5*b^2*c^10*e^16)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((129600*a^9*b*c^10*e^17 + 54*a^3*b^13*c^4*e^17 - 1233*a^4*b^11*c^5*e^17 + 11583*a^5*b^9*c^6*e^17 - 57204*a^6*b^7*c^7*e^17 + 156276*a^7*b^5*c^8*e^17 - 223200*a^8*b^3*c^9*e^17)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((153600*a^13*c^10*e^18 + 6*a^6*b^14*c^3*e^18 - 108*a^7*b^12*c^4*e^18 + 588*a^8*b^10*c^5*e^18 + 792*a^9*b^8*c^6*e^18 - 22272*a^10*b^6*c^7*e^18 + 100608*a^11*b^4*c^8*e^18 - 199680*a^12*b^2*c^9*e^18)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - (3*((3*((153600*a^13*c^10*e^18 + 6*a^6*b^14*c^3*e^18 - 108*a^7*b^12*c^4*e^18 + 588*a^8*b^10*c^5*e^18 + 792*a^9*b^8*c^6*e^18 - 22272*a^10*b^6*c^7*e^18 + 100608*a^11*b^4*c^8*e^18 - 199680*a^12*b^2*c^9*e^18)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(8*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(32*a^8*e^2*(4*a*c - b^2)^5*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) + (b*((((3*((153600*a^13*c^10*e^18 + 6*a^6*b^14*c^3*e^18 - 108*a^7*b^12*c^4*e^18 + 588*a^8*b^10*c^5*e^18 + 792*a^9*b^8*c^6*e^18 - 22272*a^10*b^6*c^7*e^18 + 100608*a^11*b^4*c^8*e^18 - 199680*a^12*b^2*c^9*e^18)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(8*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - (3*((129600*a^9*b*c^10*e^17 + 54*a^3*b^13*c^4*e^17 - 1233*a^4*b^11*c^5*e^17 + 11583*a^5*b^9*c^6*e^17 - 57204*a^6*b^7*c^7*e^17 + 156276*a^7*b^5*c^8*e^17 - 223200*a^8*b^3*c^9*e^17)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((153600*a^13*c^10*e^18 + 6*a^6*b^14*c^3*e^18 - 108*a^7*b^12*c^4*e^18 + 588*a^8*b^10*c^5*e^18 + 792*a^9*b^8*c^6*e^18 - 22272*a^10*b^6*c^7*e^18 + 100608*a^11*b^4*c^8*e^18 - 199680*a^12*b^2*c^9*e^18)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(163840*a^16*b*c^9*e^19 - 12*a^9*b^15*c^2*e^19 + 328*a^10*b^13*c^3*e^19 - 3840*a^11*b^11*c^4*e^19 + 24960*a^12*b^9*c^5*e^19 - 97280*a^13*b^7*c^6*e^19 + 227328*a^14*b^5*c^7*e^19 - 294912*a^15*b^3*c^8*e^19))/(64*a^12*e^3*(4*a*c - b^2)^(15/2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(16*a^12*b^12*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*(4*a*c - b^2)^(15/2)))/(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14) + (x*((((2*(27000*a^6*c^11*d*e^15 + 27*b^12*c^5*d*e^15 - 567*a*b^10*c^6*d*e^15 + 4779*a^2*b^8*c^7*d*e^15 - 20601*a^3*b^6*c^8*d*e^15 + 47790*a^4*b^4*c^9*d*e^15 - 56700*a^5*b^2*c^10*d*e^15))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((2*(129600*a^9*b*c^10*d*e^16 + 54*a^3*b^13*c^4*d*e^16 - 1233*a^4*b^11*c^5*d*e^16 + 11583*a^5*b^9*c^6*d*e^16 - 57204*a^6*b^7*c^7*d*e^16 + 156276*a^7*b^5*c^8*d*e^16 - 223200*a^8*b^3*c^9*d*e^16))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((2*(153600*a^13*c^10*d*e^17 + 6*a^6*b^14*c^3*d*e^17 - 108*a^7*b^12*c^4*d*e^17 + 588*a^8*b^10*c^5*d*e^17 + 792*a^9*b^8*c^6*d*e^17 - 22272*a^10*b^6*c^7*d*e^17 + 100608*a^11*b^4*c^8*d*e^17 - 199680*a^12*b^2*c^9*d*e^17))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/((4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - (3*((3*((2*(153600*a^13*c^10*d*e^17 + 6*a^6*b^14*c^3*d*e^17 - 108*a^7*b^12*c^4*d*e^17 + 588*a^8*b^10*c^5*d*e^17 + 792*a^9*b^8*c^6*d*e^17 - 22272*a^10*b^6*c^7*d*e^17 + 100608*a^11*b^4*c^8*d*e^17 - 199680*a^12*b^2*c^9*d*e^17))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/((4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/(4*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/(16*a^8*e^2*(4*a*c - b^2)^5*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) + (b*((((3*((2*(153600*a^13*c^10*d*e^17 + 6*a^6*b^14*c^3*d*e^17 - 108*a^7*b^12*c^4*d*e^17 + 588*a^8*b^10*c^5*d*e^17 + 792*a^9*b^8*c^6*d*e^17 - 22272*a^10*b^6*c^7*d*e^17 + 100608*a^11*b^4*c^8*d*e^17 - 199680*a^12*b^2*c^9*d*e^17))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/((4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/(4*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - (3*((2*(129600*a^9*b*c^10*d*e^16 + 54*a^3*b^13*c^4*d*e^16 - 1233*a^4*b^11*c^5*d*e^16 + 11583*a^5*b^9*c^6*d*e^16 - 57204*a^6*b^7*c^7*d*e^16 + 156276*a^7*b^5*c^8*d*e^16 - 223200*a^8*b^3*c^9*d*e^16))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((2*(153600*a^13*c^10*d*e^17 + 6*a^6*b^14*c^3*d*e^17 - 108*a^7*b^12*c^4*d*e^17 + 588*a^8*b^10*c^5*d*e^17 + 792*a^9*b^8*c^6*d*e^17 - 22272*a^10*b^6*c^7*d*e^17 + 100608*a^11*b^4*c^8*d*e^17 - 199680*a^12*b^2*c^9*d*e^17))/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/((4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(163840*a^16*b*c^9*d*e^18 - 12*a^9*b^15*c^2*d*e^18 + 328*a^10*b^13*c^3*d*e^18 - 3840*a^11*b^11*c^4*d*e^18 + 24960*a^12*b^9*c^5*d*e^18 - 97280*a^13*b^7*c^6*d*e^18 + 227328*a^14*b^5*c^7*d*e^18 - 294912*a^15*b^3*c^8*d*e^18))/(32*a^12*e^3*(4*a*c - b^2)^(15/2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(16*a^12*b^12*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*(4*a*c - b^2)^(15/2)))/(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14) - (((((36*a^3*b^14*c^3*e^15 - 14400*a^10*c^10*e^15 - 837*a^4*b^12*c^4*e^15 + 8046*a^5*b^10*c^5*e^15 - 40941*a^6*b^8*c^6*e^15 + 116532*a^7*b^6*c^7*e^15 - 177588*a^8*b^4*c^8*e^15 + 119520*a^9*b^2*c^9*e^15 + 54*a^3*b^13*c^4*d^2*e^15 - 1233*a^4*b^11*c^5*d^2*e^15 + 11583*a^5*b^9*c^6*d^2*e^15 - 57204*a^6*b^7*c^7*d^2*e^15 + 156276*a^7*b^5*c^8*d^2*e^15 - 223200*a^8*b^3*c^9*d^2*e^15 + 129600*a^9*b*c^10*d^2*e^15)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((12*a^6*b^15*c^2*e^16 - 30720*a^13*b*c^9*e^16 - 300*a^7*b^13*c^3*e^16 + 3156*a^8*b^11*c^4*e^16 - 17976*a^9*b^9*c^5*e^16 + 59136*a^10*b^7*c^6*e^16 - 109824*a^11*b^5*c^7*e^16 + 101376*a^12*b^3*c^8*e^16 + 153600*a^13*c^10*d^2*e^16 + 6*a^6*b^14*c^3*d^2*e^16 - 108*a^7*b^12*c^4*d^2*e^16 + 588*a^8*b^10*c^5*d^2*e^16 + 792*a^9*b^8*c^6*d^2*e^16 - 22272*a^10*b^6*c^7*d^2*e^16 + 100608*a^11*b^4*c^8*d^2*e^16 - 199680*a^12*b^2*c^9*d^2*e^16)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) + ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) - (27*b^13*c^4*e^14 - 594*a*b^11*c^5*e^14 + 43200*a^6*b*c^10*e^14 + 5319*a^2*b^9*c^6*e^14 - 24732*a^3*b^7*c^7*e^14 + 62748*a^4*b^5*c^8*e^14 - 82080*a^5*b^3*c^9*e^14 + 27000*a^6*c^11*d^2*e^14 + 27*b^12*c^5*d^2*e^14 + 4779*a^2*b^8*c^7*d^2*e^14 - 20601*a^3*b^6*c^8*d^2*e^14 + 47790*a^4*b^4*c^9*d^2*e^14 - 56700*a^5*b^2*c^10*d^2*e^14 - 567*a*b^10*c^6*d^2*e^14)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) + (3*((3*((12*a^6*b^15*c^2*e^16 - 30720*a^13*b*c^9*e^16 - 300*a^7*b^13*c^3*e^16 + 3156*a^8*b^11*c^4*e^16 - 17976*a^9*b^9*c^5*e^16 + 59136*a^10*b^7*c^6*e^16 - 109824*a^11*b^5*c^7*e^16 + 101376*a^12*b^3*c^8*e^16 + 153600*a^13*c^10*d^2*e^16 + 6*a^6*b^14*c^3*d^2*e^16 - 108*a^7*b^12*c^4*d^2*e^16 + 588*a^8*b^10*c^5*d^2*e^16 + 792*a^9*b^8*c^6*d^2*e^16 - 22272*a^10*b^6*c^7*d^2*e^16 + 100608*a^11*b^4*c^8*d^2*e^16 - 199680*a^12*b^2*c^9*d^2*e^16)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) + ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(8*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(32*a^8*e^2*(4*a*c - b^2)^5*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c)*(16*a^12*b^12*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^6*(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) - (b*((3*((36*a^3*b^14*c^3*e^15 - 14400*a^10*c^10*e^15 - 837*a^4*b^12*c^4*e^15 + 8046*a^5*b^10*c^5*e^15 - 40941*a^6*b^8*c^6*e^15 + 116532*a^7*b^6*c^7*e^15 - 177588*a^8*b^4*c^8*e^15 + 119520*a^9*b^2*c^9*e^15 + 54*a^3*b^13*c^4*d^2*e^15 - 1233*a^4*b^11*c^5*d^2*e^15 + 11583*a^5*b^9*c^6*d^2*e^15 - 57204*a^6*b^7*c^7*d^2*e^15 + 156276*a^7*b^5*c^8*d^2*e^15 - 223200*a^8*b^3*c^9*d^2*e^15 + 129600*a^9*b*c^10*d^2*e^15)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) - (((12*a^6*b^15*c^2*e^16 - 30720*a^13*b*c^9*e^16 - 300*a^7*b^13*c^3*e^16 + 3156*a^8*b^11*c^4*e^16 - 17976*a^9*b^9*c^5*e^16 + 59136*a^10*b^7*c^6*e^16 - 109824*a^11*b^5*c^7*e^16 + 101376*a^12*b^3*c^8*e^16 + 153600*a^13*c^10*d^2*e^16 + 6*a^6*b^14*c^3*d^2*e^16 - 108*a^7*b^12*c^4*d^2*e^16 + 588*a^8*b^10*c^5*d^2*e^16 + 792*a^9*b^8*c^6*d^2*e^16 - 22272*a^10*b^6*c^7*d^2*e^16 + 100608*a^11*b^4*c^8*d^2*e^16 - 199680*a^12*b^2*c^9*d^2*e^16)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) + ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) - (((3*((12*a^6*b^15*c^2*e^16 - 30720*a^13*b*c^9*e^16 - 300*a^7*b^13*c^3*e^16 + 3156*a^8*b^11*c^4*e^16 - 17976*a^9*b^9*c^5*e^16 + 59136*a^10*b^7*c^6*e^16 - 109824*a^11*b^5*c^7*e^16 + 101376*a^12*b^3*c^8*e^16 + 153600*a^13*c^10*d^2*e^16 + 6*a^6*b^14*c^3*d^2*e^16 - 108*a^7*b^12*c^4*d^2*e^16 + 588*a^8*b^10*c^5*d^2*e^16 + 792*a^9*b^8*c^6*d^2*e^16 - 22272*a^10*b^6*c^7*d^2*e^16 + 100608*a^11*b^4*c^8*d^2*e^16 - 199680*a^12*b^2*c^9*d^2*e^16)/(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5) + ((6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e)*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(8*a^4*e*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(6*b^11*e + 960*a^2*b^7*c^2*e - 3840*a^3*b^5*c^3*e + 7680*a^4*b^3*c^4*e - 120*a*b^9*c*e - 6144*a^5*b*c^5*e))/(2*(4*a^4*b^10*e^2 - 4096*a^9*c^5*e^2 - 80*a^5*b^8*c*e^2 + 640*a^6*b^6*c^2*e^2 - 2560*a^7*b^4*c^3*e^2 + 5120*a^8*b^2*c^4*e^2)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(4*a^10*b^14*c^2*e^17 - 96*a^11*b^12*c^3*e^17 + 960*a^12*b^10*c^4*e^17 - 5120*a^13*b^8*c^5*e^17 + 15360*a^14*b^6*c^6*e^17 - 24576*a^15*b^4*c^7*e^17 + 16384*a^16*b^2*c^8*e^17 + 12*a^9*b^15*c^2*d^2*e^17 - 328*a^10*b^13*c^3*d^2*e^17 + 3840*a^11*b^11*c^4*d^2*e^17 - 24960*a^12*b^9*c^5*d^2*e^17 + 97280*a^13*b^7*c^6*d^2*e^17 - 227328*a^14*b^5*c^7*d^2*e^17 + 294912*a^15*b^3*c^8*d^2*e^17 - 163840*a^16*b*c^9*d^2*e^17))/(64*a^12*e^3*(4*a*c - b^2)^(15/2)*(a^9*b^12 + 4096*a^15*c^6 - 24*a^10*b^10*c + 240*a^11*b^8*c^2 - 1280*a^12*b^6*c^3 + 3840*a^13*b^4*c^4 - 6144*a^14*b^2*c^5)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c)*(16*a^12*b^12*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(2*a^4*e*(4*a*c - b^2)^(5/2))","B"
638,1,4605,202,1.341079,"\text{Not used}","int((d*f + e*f*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{f^4\,x}{c}+\mathrm{atan}\left(\frac{\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}+\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,1{}\mathrm{i}+\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,1{}\mathrm{i}}{\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}+\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}-\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,a^2\,b\,e^{10}\,f^{12}}{c}}\right)\,\sqrt{-\frac{b^5\,f^8+b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8-a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}+\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,1{}\mathrm{i}+\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,1{}\mathrm{i}}{\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}+\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}+\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}-\left(\frac{4\,d\,a^2\,c^2\,e^{11}\,f^8-8\,d\,a\,b^2\,c\,e^{11}\,f^8+2\,d\,b^4\,e^{11}\,f^8}{c}-\left(\frac{16\,a^2\,c^3\,e^{12}\,f^4-4\,a\,b^2\,c^2\,e^{12}\,f^4}{c}-\left(\frac{8\,b^3\,c^3\,d\,e^{13}-32\,a\,b\,c^4\,d\,e^{13}}{c}+\frac{2\,x\,\left(4\,b^3\,c^3\,e^{14}-16\,a\,b\,c^4\,e^{14}\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2\,e^{12}\,f^8-4\,a\,b^2\,c\,e^{12}\,f^8+b^4\,e^{12}\,f^8\right)}{c}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}+\frac{2\,a^2\,b\,e^{10}\,f^{12}}{c}}\right)\,\sqrt{-\frac{b^5\,f^8-b^2\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,f^8-7\,a\,b^3\,c\,f^8+a\,c\,f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5\,e^2-8\,a\,b^2\,c^4\,e^2+b^4\,c^3\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c + ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*1i + ((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c - ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*1i)/(((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c + ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) - ((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c - ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*a^2*b*e^10*f^12)/c))*(-(b^5*f^8 + b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 - a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*2i + atan((((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c + ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*1i + ((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c - ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*1i)/(((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c + ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c + ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) - ((2*b^4*d*e^11*f^8 + 4*a^2*c^2*d*e^11*f^8 - 8*a*b^2*c*d*e^11*f^8)/c - ((16*a^2*c^3*e^12*f^4 - 4*a*b^2*c^2*e^12*f^4)/c - ((8*b^3*c^3*d*e^13 - 32*a*b*c^4*d*e^13)/c + (2*x*(4*b^3*c^3*e^14 - 16*a*b*c^4*e^14))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2))*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*x*(b^4*e^12*f^8 + 2*a^2*c^2*e^12*f^8 - 4*a*b^2*c*e^12*f^8))/c)*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2) + (2*a^2*b*e^10*f^12)/c))*(-(b^5*f^8 - b^2*f^8*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*f^8 - 7*a*b^3*c*f^8 + a*c*f^8*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5*e^2 + b^4*c^3*e^2 - 8*a*b^2*c^4*e^2)))^(1/2)*2i + (f^4*x)/c","B"
639,1,287,87,0.442806,"\text{Not used}","int((d*f + e*f*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{4\,a\,c\,e\,f^3\,\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)}{16\,a\,c^2\,e^2-4\,b^2\,c\,e^2}-\frac{b\,f^3\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,d^2}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,e^2\,x^2}{\sqrt{4\,a\,c-b^2}}+\frac{4\,c\,d\,e\,x}{\sqrt{4\,a\,c-b^2}}\right)}{2\,c\,e\,\sqrt{4\,a\,c-b^2}}-\frac{b^2\,e\,f^3\,\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)}{16\,a\,c^2\,e^2-4\,b^2\,c\,e^2}","Not used",1,"(4*a*c*e*f^3*log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3))/(16*a*c^2*e^2 - 4*b^2*c*e^2) - (b*f^3*atan(b/(4*a*c - b^2)^(1/2) + (2*c*d^2)/(4*a*c - b^2)^(1/2) + (2*c*e^2*x^2)/(4*a*c - b^2)^(1/2) + (4*c*d*e*x)/(4*a*c - b^2)^(1/2)))/(2*c*e*(4*a*c - b^2)^(1/2)) - (b^2*e*f^3*log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3))/(16*a*c^2*e^2 - 4*b^2*c*e^2)","B"
640,1,683,170,1.792232,"\text{Not used}","int((d*f + e*f*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","-2\,\mathrm{atanh}\left(\frac{\sqrt{-\frac{b^3\,f^4+f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,f^4}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}\,\left(x\,\left(4\,a\,c^2\,e^{12}\,f^4-2\,b^2\,c\,e^{12}\,f^4\right)+\frac{\left(x\,\left(8\,b^3\,c^2\,e^{14}-32\,a\,b\,c^3\,e^{14}\right)+8\,b^3\,c^2\,d\,e^{13}-32\,a\,b\,c^3\,d\,e^{13}\right)\,\left(b^3\,f^4+f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,f^4\right)}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}+4\,a\,c^2\,d\,e^{11}\,f^4-2\,b^2\,c\,d\,e^{11}\,f^4\right)}{a\,c\,e^{10}\,f^6}\right)\,\sqrt{-\frac{b^3\,f^4+f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,f^4}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}-2\,\mathrm{atanh}\left(\frac{\sqrt{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,f^4+4\,a\,b\,c\,f^4}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}\,\left(x\,\left(4\,a\,c^2\,e^{12}\,f^4-2\,b^2\,c\,e^{12}\,f^4\right)-\frac{\left(x\,\left(8\,b^3\,c^2\,e^{14}-32\,a\,b\,c^3\,e^{14}\right)+8\,b^3\,c^2\,d\,e^{13}-32\,a\,b\,c^3\,d\,e^{13}\right)\,\left(f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,f^4+4\,a\,b\,c\,f^4\right)}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}+4\,a\,c^2\,d\,e^{11}\,f^4-2\,b^2\,c\,d\,e^{11}\,f^4\right)}{a\,c\,e^{10}\,f^6}\right)\,\sqrt{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,f^4+4\,a\,b\,c\,f^4}{8\,\left(16\,a^2\,c^3\,e^2-8\,a\,b^2\,c^2\,e^2+b^4\,c\,e^2\right)}}","Not used",1,"- 2*atanh(((-(b^3*f^4 + f^4*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*f^4)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)*(x*(4*a*c^2*e^12*f^4 - 2*b^2*c*e^12*f^4) + ((x*(8*b^3*c^2*e^14 - 32*a*b*c^3*e^14) + 8*b^3*c^2*d*e^13 - 32*a*b*c^3*d*e^13)*(b^3*f^4 + f^4*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*f^4))/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)) + 4*a*c^2*d*e^11*f^4 - 2*b^2*c*d*e^11*f^4))/(a*c*e^10*f^6))*(-(b^3*f^4 + f^4*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*f^4)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2) - 2*atanh((((f^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*f^4 + 4*a*b*c*f^4)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)*(x*(4*a*c^2*e^12*f^4 - 2*b^2*c*e^12*f^4) - ((x*(8*b^3*c^2*e^14 - 32*a*b*c^3*e^14) + 8*b^3*c^2*d*e^13 - 32*a*b*c^3*d*e^13)*(f^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*f^4 + 4*a*b*c*f^4))/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)) + 4*a*c^2*d*e^11*f^4 - 2*b^2*c*d*e^11*f^4))/(a*c*e^10*f^6))*((f^4*(-(4*a*c - b^2)^3)^(1/2) - b^3*f^4 + 4*a*b*c*f^4)/(8*(b^4*c*e^2 + 16*a^2*c^3*e^2 - 8*a*b^2*c^2*e^2)))^(1/2)","B"
641,1,477,44,1.622102,"\text{Not used}","int((d*f + e*f*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4),x)","\frac{f\,\mathrm{atan}\left(\frac{\frac{f\,\left(4\,c^2\,d^2\,e^7\,f+4\,c^2\,e^9\,f\,x^2-\frac{f\,\left(8\,b\,c^2\,d^2\,e^8+16\,b\,c^2\,d\,e^9\,x+8\,b\,c^2\,e^{10}\,x^2+16\,a\,c^2\,e^8\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}+8\,c^2\,d\,e^8\,f\,x\right)\,1{}\mathrm{i}}{2\,e\,\sqrt{b^2-4\,a\,c}}+\frac{f\,\left(4\,c^2\,d^2\,e^7\,f+4\,c^2\,e^9\,f\,x^2+\frac{f\,\left(8\,b\,c^2\,d^2\,e^8+16\,b\,c^2\,d\,e^9\,x+8\,b\,c^2\,e^{10}\,x^2+16\,a\,c^2\,e^8\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}+8\,c^2\,d\,e^8\,f\,x\right)\,1{}\mathrm{i}}{2\,e\,\sqrt{b^2-4\,a\,c}}}{\frac{f\,\left(4\,c^2\,d^2\,e^7\,f+4\,c^2\,e^9\,f\,x^2-\frac{f\,\left(8\,b\,c^2\,d^2\,e^8+16\,b\,c^2\,d\,e^9\,x+8\,b\,c^2\,e^{10}\,x^2+16\,a\,c^2\,e^8\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}+8\,c^2\,d\,e^8\,f\,x\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}-\frac{f\,\left(4\,c^2\,d^2\,e^7\,f+4\,c^2\,e^9\,f\,x^2+\frac{f\,\left(8\,b\,c^2\,d^2\,e^8+16\,b\,c^2\,d\,e^9\,x+8\,b\,c^2\,e^{10}\,x^2+16\,a\,c^2\,e^8\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}+8\,c^2\,d\,e^8\,f\,x\right)}{2\,e\,\sqrt{b^2-4\,a\,c}}}\right)\,1{}\mathrm{i}}{e\,\sqrt{b^2-4\,a\,c}}","Not used",1,"(f*atan(((f*(4*c^2*d^2*e^7*f + 4*c^2*e^9*f*x^2 - (f*(16*a*c^2*e^8 + 8*b*c^2*d^2*e^8 + 8*b*c^2*e^10*x^2 + 16*b*c^2*d*e^9*x))/(2*e*(b^2 - 4*a*c)^(1/2)) + 8*c^2*d*e^8*f*x)*1i)/(2*e*(b^2 - 4*a*c)^(1/2)) + (f*(4*c^2*d^2*e^7*f + 4*c^2*e^9*f*x^2 + (f*(16*a*c^2*e^8 + 8*b*c^2*d^2*e^8 + 8*b*c^2*e^10*x^2 + 16*b*c^2*d*e^9*x))/(2*e*(b^2 - 4*a*c)^(1/2)) + 8*c^2*d*e^8*f*x)*1i)/(2*e*(b^2 - 4*a*c)^(1/2)))/((f*(4*c^2*d^2*e^7*f + 4*c^2*e^9*f*x^2 - (f*(16*a*c^2*e^8 + 8*b*c^2*d^2*e^8 + 8*b*c^2*e^10*x^2 + 16*b*c^2*d*e^9*x))/(2*e*(b^2 - 4*a*c)^(1/2)) + 8*c^2*d*e^8*f*x))/(2*e*(b^2 - 4*a*c)^(1/2)) - (f*(4*c^2*d^2*e^7*f + 4*c^2*e^9*f*x^2 + (f*(16*a*c^2*e^8 + 8*b*c^2*d^2*e^8 + 8*b*c^2*e^10*x^2 + 16*b*c^2*d*e^9*x))/(2*e*(b^2 - 4*a*c)^(1/2)) + 8*c^2*d*e^8*f*x))/(2*e*(b^2 - 4*a*c)^(1/2))))*1i)/(e*(b^2 - 4*a*c)^(1/2))","B"
642,1,2520,103,3.461685,"\text{Not used}","int(1/((d*f + e*f*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\ln\left(d+e\,x\right)}{a\,e\,f}-\frac{\ln\left(c\,d^4+4\,c\,d^3\,e\,x+6\,c\,d^2\,e^2\,x^2+b\,d^2+4\,c\,d\,e^3\,x^3+2\,b\,d\,e\,x+c\,e^4\,x^4+b\,e^2\,x^2+a\right)\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}{2\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}-\frac{b\,\mathrm{atan}\left(\frac{16\,a^3\,f^3\,x\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{\left(3\,b^3-8\,a\,b\,c\right)\,\left(\frac{b^2\,\left(\frac{2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}+\frac{20\,b\,c^3\,d\,e^{17}}{f}\right)}{16\,a^2\,e^2\,f^2\,\left(4\,a\,c-b^2\right)}-\frac{{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2\,\left(\frac{2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}+\frac{20\,b\,c^3\,d\,e^{17}}{f}\right)}{4\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{4\,a^2\,e^2\,f^3\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,a^3\,c^2\,\left(25\,a\,c-6\,b^2\right)}-\frac{\left(\frac{b\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(\frac{2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}+\frac{20\,b\,c^3\,d\,e^{17}}{f}\right)}{4\,a\,e\,f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\sqrt{4\,a\,c-b^2}}-\frac{b^3\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{16\,a^3\,e^3\,f^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2\,\left(6\,b^3\,c^2\,d\,e^{18}\,f-20\,a\,b\,c^3\,d\,e^{18}\,f\right)}{4\,a\,e\,f^2\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(25\,a\,c-6\,b^2\right)}\right)}{b^2\,c^2\,e^{14}}+\frac{2\,f^3\,\left(3\,b^3-8\,a\,b\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{b^2\,\left(\frac{2\,\left(2\,b^2\,c^2\,e^{16}+5\,b\,c^3\,d^2\,e^{16}\right)}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)}{16\,a^2\,e^2\,f^2\,\left(4\,a\,c-b^2\right)}-\frac{{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2\,\left(\frac{2\,\left(2\,b^2\,c^2\,e^{16}+5\,b\,c^3\,d^2\,e^{16}\right)}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)}{4\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{8\,a^2\,e^2\,f^3\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{b^2\,c^4\,e^{14}\,\left(25\,a\,c-6\,b^2\right)}+\frac{16\,a^3\,f^3\,x^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{\left(3\,b^3-8\,a\,b\,c\right)\,\left(\frac{b^2\,\left(\frac{10\,b\,c^3\,e^{18}}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)}{16\,a^2\,e^2\,f^2\,\left(4\,a\,c-b^2\right)}-\frac{\left(\frac{10\,b\,c^3\,e^{18}}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)\,{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2}{4\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2}+\frac{b^2\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{8\,a^2\,e^2\,f^3\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,a^3\,c^2\,\left(25\,a\,c-6\,b^2\right)}-\frac{\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b\,\left(\frac{10\,b\,c^3\,e^{18}}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}{4\,a\,e\,f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\sqrt{4\,a\,c-b^2}}-\frac{b^3\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{32\,a^3\,e^3\,f^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2\,\left(6\,b^3\,c^2\,e^{19}\,f-20\,a\,b\,c^3\,e^{19}\,f\right)}{8\,a\,e\,f^2\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(25\,a\,c-6\,b^2\right)}\right)}{b^2\,c^2\,e^{14}}-\frac{2\,f^3\,\left(4\,a\,c-b^2\right)\,\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b\,\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(\frac{2\,\left(2\,b^2\,c^2\,e^{16}+5\,b\,c^3\,d^2\,e^{16}\right)}{f}+\frac{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}\right)}{4\,a\,e\,f\,\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)\,\sqrt{4\,a\,c-b^2}}-\frac{b^3\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{32\,a^3\,e^3\,f^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,{\left(2\,b^2\,e\,f-8\,a\,c\,e\,f\right)}^2\,\left(6\,f\,b^3\,c^2\,d^2\,e^{17}+2\,a\,f\,b^2\,c^2\,e^{17}-20\,a\,f\,b\,c^3\,d^2\,e^{17}\right)}{8\,a\,e\,f^2\,{\left(4\,a\,b^2\,e^2\,f^2-16\,a^2\,c\,e^2\,f^2\right)}^2\,\sqrt{4\,a\,c-b^2}}\right)}{b^2\,c^4\,e^{14}\,\left(25\,a\,c-6\,b^2\right)}\right)}{2\,a\,e\,f\,\sqrt{4\,a\,c-b^2}}","Not used",1,"log(d + e*x)/(a*e*f) - (log(a + b*d^2 + c*d^4 + b*e^2*x^2 + c*e^4*x^4 + 2*b*d*e*x + 6*c*d^2*e^2*x^2 + 4*c*d^3*e*x + 4*c*d*e^3*x^3)*(2*b^2*e*f - 8*a*c*e*f))/(2*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)) - (b*atan((16*a^3*f^3*x*(4*a*c - b^2)^(3/2)*(((3*b^3 - 8*a*b*c)*((b^2*((2*(2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)) + (20*b*c^3*d*e^17)/f))/(16*a^2*e^2*f^2*(4*a*c - b^2)) - ((2*b^2*e*f - 8*a*c*e*f)^2*((2*(2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)) + (20*b*c^3*d*e^17)/f))/(4*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2) + (b^2*(2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(4*a^2*e^2*f^3*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2))))/(8*a^3*c^2*(25*a*c - 6*b^2)) - (((b*(2*b^2*e*f - 8*a*c*e*f)*((2*(2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)) + (20*b*c^3*d*e^17)/f))/(4*a*e*f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2)^(1/2)) - (b^3*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(16*a^3*e^3*f^4*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e*f - 8*a*c*e*f)^2*(6*b^3*c^2*d*e^18*f - 20*a*b*c^3*d*e^18*f))/(4*a*e*f^2*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2*(4*a*c - b^2)^(1/2)))*(3*b^4 + 10*a^2*c^2 - 14*a*b^2*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(25*a*c - 6*b^2))))/(b^2*c^2*e^14) + (2*f^3*(3*b^3 - 8*a*b*c)*(4*a*c - b^2)^(3/2)*((b^2*((2*(2*b^2*c^2*e^16 + 5*b*c^3*d^2*e^16))/f + ((2*b^2*e*f - 8*a*c*e*f)*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2))))/(16*a^2*e^2*f^2*(4*a*c - b^2)) - ((2*b^2*e*f - 8*a*c*e*f)^2*((2*(2*b^2*c^2*e^16 + 5*b*c^3*d^2*e^16))/f + ((2*b^2*e*f - 8*a*c*e*f)*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2))))/(4*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2) + (b^2*(2*b^2*e*f - 8*a*c*e*f)*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(8*a^2*e^2*f^3*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2))))/(b^2*c^4*e^14*(25*a*c - 6*b^2)) + (16*a^3*f^3*x^2*(4*a*c - b^2)^(3/2)*(((3*b^3 - 8*a*b*c)*((b^2*((10*b*c^3*e^18)/f + ((2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2))))/(16*a^2*e^2*f^2*(4*a*c - b^2)) - (((10*b*c^3*e^18)/f + ((2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)))*(2*b^2*e*f - 8*a*c*e*f)^2)/(4*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2) + (b^2*(2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(8*a^2*e^2*f^3*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2))))/(8*a^3*c^2*(25*a*c - 6*b^2)) - ((3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b*((10*b*c^3*e^18)/f + ((2*b^2*e*f - 8*a*c*e*f)*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)))*(2*b^2*e*f - 8*a*c*e*f))/(4*a*e*f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2)^(1/2)) - (b^3*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(32*a^3*e^3*f^4*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e*f - 8*a*c*e*f)^2*(6*b^3*c^2*e^19*f - 20*a*b*c^3*e^19*f))/(8*a*e*f^2*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2*(4*a*c - b^2)^(1/2))))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(25*a*c - 6*b^2))))/(b^2*c^2*e^14) - (2*f^3*(4*a*c - b^2)*(3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b*(2*b^2*e*f - 8*a*c*e*f)*((2*(2*b^2*c^2*e^16 + 5*b*c^3*d^2*e^16))/f + ((2*b^2*e*f - 8*a*c*e*f)*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2))))/(4*a*e*f*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)*(4*a*c - b^2)^(1/2)) - (b^3*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(32*a^3*e^3*f^4*(4*a*c - b^2)^(3/2)) + (b*(2*b^2*e*f - 8*a*c*e*f)^2*(2*a*b^2*c^2*e^17*f + 6*b^3*c^2*d^2*e^17*f - 20*a*b*c^3*d^2*e^17*f))/(8*a*e*f^2*(4*a*b^2*e^2*f^2 - 16*a^2*c*e^2*f^2)^2*(4*a*c - b^2)^(1/2))))/(b^2*c^4*e^14*(25*a*c - 6*b^2))))/(2*a*e*f*(4*a*c - b^2)^(1/2))","B"
643,1,4339,204,3.871955,"\text{Not used}","int(1/((d*f + e*f*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","-\frac{1}{a\,e\,\left(d\,f^2+e\,f^2\,x\right)}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}-4\,a^4\,b^3\,c^2\,e^{12}\,f^8+16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,b^3\,c^2\,e^{12}\,f^8-16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,b^3\,c^2\,e^{12}\,f^8-16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)-\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}-4\,a^4\,b^3\,c^2\,e^{12}\,f^8+16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)+2\,a^3\,c^4\,e^{10}\,f^4}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}-4\,a^4\,b^3\,c^2\,e^{12}\,f^8+16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,b^3\,c^2\,e^{12}\,f^8-16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,b^3\,c^2\,e^{12}\,f^8-16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)-\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,\left(x\,\left(4\,a^4\,c^4\,e^{12}\,f^6-2\,a^3\,b^2\,c^3\,e^{12}\,f^6\right)-\left(\left(x\,\left(8\,a^5\,b^3\,c^2\,e^{14}\,f^{10}-32\,a^6\,b\,c^3\,e^{14}\,f^{10}\right)-32\,a^6\,b\,c^3\,d\,e^{13}\,f^{10}+8\,a^5\,b^3\,c^2\,d\,e^{13}\,f^{10}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}-4\,a^4\,b^3\,c^2\,e^{12}\,f^8+16\,a^5\,b\,c^3\,e^{12}\,f^8\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}+4\,a^4\,c^4\,d\,e^{11}\,f^6-2\,a^3\,b^2\,c^3\,d\,e^{11}\,f^6\right)+2\,a^3\,c^4\,e^{10}\,f^4}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2\,e^2\,f^4-8\,a^4\,b^2\,c\,e^2\,f^4+a^3\,b^4\,e^2\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) - 4*a^4*b^3*c^2*e^12*f^8 + 16*a^5*b*c^3*e^12*f^8)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6)*1i + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*b^3*c^2*e^12*f^8 - 16*a^5*b*c^3*e^12*f^8)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6)*1i)/((-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*b^3*c^2*e^12*f^8 - 16*a^5*b*c^3*e^12*f^8)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6) - (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) - 4*a^4*b^3*c^2*e^12*f^8 + 16*a^5*b*c^3*e^12*f^8)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6) + 2*a^3*c^4*e^10*f^4))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*2i - atan(((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) - 4*a^4*b^3*c^2*e^12*f^8 + 16*a^5*b*c^3*e^12*f^8)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6)*1i + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*b^3*c^2*e^12*f^8 - 16*a^5*b*c^3*e^12*f^8)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6)*1i)/((-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*b^3*c^2*e^12*f^8 - 16*a^5*b*c^3*e^12*f^8)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6) - (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*(x*(4*a^4*c^4*e^12*f^6 - 2*a^3*b^2*c^3*e^12*f^6) - ((x*(8*a^5*b^3*c^2*e^14*f^10 - 32*a^6*b*c^3*e^14*f^10) - 32*a^6*b*c^3*d*e^13*f^10 + 8*a^5*b^3*c^2*d*e^13*f^10)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) - 4*a^4*b^3*c^2*e^12*f^8 + 16*a^5*b*c^3*e^12*f^8)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2) + 4*a^4*c^4*d*e^11*f^6 - 2*a^3*b^2*c^3*d*e^11*f^6) + 2*a^3*c^4*e^10*f^4))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4*e^2*f^4 + 16*a^5*c^2*e^2*f^4 - 8*a^4*b^2*c*e^2*f^4)))^(1/2)*2i - 1/(a*e*(d*f^2 + e*f^2*x))","B"
644,1,5947,133,6.980605,"\text{Not used}","int(1/((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\mathrm{atan}\left(\frac{16\,a^6\,f^9\,x\,\left(\frac{\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{\left(\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}\,f^6+2\,d\,a^2\,b^2\,c^3\,e^{17}\,f^6\right)}{a^3\,f^9}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{12\,b\,c^4\,d\,e^{16}}{a^2\,f^6}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{2\,c^5\,d\,e^{15}}{a^3\,f^9}-\frac{\left(\frac{\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}\,f^6+2\,d\,a^2\,b^2\,c^3\,e^{17}\,f^6\right)}{a^3\,f^9}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(2\,a\,c-b^2\right)}{4\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,{\left(2\,a\,c-b^2\right)}^2}{16\,a^7\,e^2\,f^{15}\,\left(4\,a\,c-b^2\right)\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{8\,a^3\,c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}+\frac{\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)\,\left(\frac{\left(\frac{\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}\,f^6+2\,d\,a^2\,b^2\,c^3\,e^{17}\,f^6\right)}{a^3\,f^9}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(2\,a\,c-b^2\right)}{4\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{\left(\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(\frac{2\,\left(20\,d\,a^3\,c^4\,e^{17}\,f^6+2\,d\,a^2\,b^2\,c^3\,e^{17}\,f^6\right)}{a^3\,f^9}+\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{12\,b\,c^4\,d\,e^{16}}{a^2\,f^6}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(40\,a^4\,b\,c^3\,d\,e^{18}\,f^9-12\,a^3\,b^3\,c^2\,d\,e^{18}\,f^9\right)\,{\left(2\,a\,c-b^2\right)}^3}{32\,a^9\,e^3\,f^{18}\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}}+\frac{16\,a^6\,f^9\,x^2\,\left(\frac{\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}\,f^6+2\,a^2\,b^2\,c^3\,e^{18}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{6\,b\,c^4\,e^{17}}{a^2\,f^6}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{c^5\,e^{16}}{a^3\,f^9}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}\,f^6+2\,a^2\,b^2\,c^3\,e^{18}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)\,\left(2\,a\,c-b^2\right)}{8\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)\,{\left(2\,a\,c-b^2\right)}^2}{32\,a^7\,e^2\,f^{15}\,\left(4\,a\,c-b^2\right)\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{8\,a^3\,c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}+\frac{\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)\,\left(\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}\,f^6+2\,a^2\,b^2\,c^3\,e^{18}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)\,\left(2\,a\,c-b^2\right)}{8\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)\,{\left(2\,a\,c-b^2\right)}^3}{64\,a^9\,e^3\,f^{18}\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(\frac{\left(\frac{20\,a^3\,c^4\,e^{18}\,f^6+2\,a^2\,b^2\,c^3\,e^{18}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(12\,a^3\,b^3\,c^2\,e^{19}\,f^9-40\,a^4\,b\,c^3\,e^{19}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{6\,b\,c^4\,e^{17}}{a^2\,f^6}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}}+\frac{2\,a^3\,f^9\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{c^5\,d^2\,e^{14}+b\,c^4\,e^{14}}{a^3\,f^9}+\frac{\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}\,f^6+20\,a^3\,c^4\,d^2\,e^{16}\,f^6+4\,a^2\,b^3\,c^2\,e^{16}\,f^6+2\,a^2\,b^2\,c^3\,d^2\,e^{16}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{-a^2\,c^4\,e^{15}\,f^3+4\,a\,b^2\,c^3\,e^{15}\,f^3+6\,a\,b\,c^4\,d^2\,e^{15}\,f^3}{a^3\,f^9}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}-\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}\,f^6+20\,a^3\,c^4\,d^2\,e^{16}\,f^6+4\,a^2\,b^3\,c^2\,e^{16}\,f^6+2\,a^2\,b^2\,c^3\,d^2\,e^{16}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(2\,a\,c-b^2\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{8\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,{\left(2\,a\,c-b^2\right)}^2\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{32\,a^7\,e^2\,f^{15}\,\left(4\,a\,c-b^2\right)\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}\right)}+\frac{2\,a^3\,f^9\,\left(4\,a\,c-b^2\right)\,\left(\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}\,f^6+20\,a^3\,c^4\,d^2\,e^{16}\,f^6+4\,a^2\,b^3\,c^2\,e^{16}\,f^6+2\,a^2\,b^2\,c^3\,d^2\,e^{16}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(2\,a\,c-b^2\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{8\,a^5\,e\,f^{12}\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{\left(\frac{\left(\frac{-4\,a^3\,b\,c^3\,e^{16}\,f^6+20\,a^3\,c^4\,d^2\,e^{16}\,f^6+4\,a^2\,b^3\,c^2\,e^{16}\,f^6+2\,a^2\,b^2\,c^3\,d^2\,e^{16}\,f^6}{a^3\,f^9}-\frac{\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,a^3\,f^9\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}+\frac{-a^2\,c^4\,e^{15}\,f^3+4\,a\,b^2\,c^3\,e^{15}\,f^3+6\,a\,b\,c^4\,d^2\,e^{15}\,f^3}{a^3\,f^9}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}+\frac{{\left(2\,a\,c-b^2\right)}^3\,\left(4\,a^4\,b^2\,c^2\,e^{17}\,f^9-40\,a^4\,b\,c^3\,d^2\,e^{17}\,f^9+12\,a^3\,b^3\,c^2\,d^2\,e^{17}\,f^9\right)}{64\,a^9\,e^3\,f^{18}\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4\,e^{14}-4\,a\,b^2\,c^3\,e^{14}+b^4\,c^2\,e^{14}\right)}\right)\,\left(2\,a\,c-b^2\right)}{2\,a^2\,e\,f^3\,\sqrt{4\,a\,c-b^2}}-\frac{1}{2\,a\,e\,\left(d^2\,f^3+2\,d\,e\,f^3\,x+e^2\,f^3\,x^2\right)}-\frac{b\,\ln\left(d+e\,x\right)}{a^2\,e\,f^3}-\frac{\ln\left(\left(\frac{c^5\,e^{16}\,x^2}{a^3\,f^9}-\frac{\left(b+a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{c^3\,e^{15}\,\left(4\,b^2+6\,c\,b\,d^2-a\,c\right)}{a^2\,f^6}-\frac{\left(b+a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{2\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-2\,a\,b\,c+10\,a\,c^2\,d^2\right)}{a\,f^3}+\frac{2\,c^3\,e^{18}\,x^2\,\left(b^2+10\,a\,c\right)}{a\,f^3}+\frac{b\,c^2\,e^{16}\,\left(b+a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2\,f^3}+\frac{4\,c^3\,d\,e^{17}\,x\,\left(b^2+10\,a\,c\right)}{a\,f^3}\right)}{4\,a^2\,e\,f^3}+\frac{6\,b\,c^4\,e^{17}\,x^2}{a^2\,f^6}+\frac{12\,b\,c^4\,d\,e^{16}\,x}{a^2\,f^6}\right)}{4\,a^2\,e\,f^3}+\frac{c^4\,e^{14}\,\left(c\,d^2+b\right)}{a^3\,f^9}+\frac{2\,c^5\,d\,e^{15}\,x}{a^3\,f^9}\right)\,\left(\frac{c^5\,e^{16}\,x^2}{a^3\,f^9}-\frac{\left(b-a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{c^3\,e^{15}\,\left(4\,b^2+6\,c\,b\,d^2-a\,c\right)}{a^2\,f^6}-\frac{\left(b-a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(\frac{2\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-2\,a\,b\,c+10\,a\,c^2\,d^2\right)}{a\,f^3}+\frac{2\,c^3\,e^{18}\,x^2\,\left(b^2+10\,a\,c\right)}{a\,f^3}+\frac{b\,c^2\,e^{16}\,\left(b-a^2\,e\,f^3\,\sqrt{-\frac{{\left(2\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^6\,\left(4\,a\,c-b^2\right)}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2\,f^3}+\frac{4\,c^3\,d\,e^{17}\,x\,\left(b^2+10\,a\,c\right)}{a\,f^3}\right)}{4\,a^2\,e\,f^3}+\frac{6\,b\,c^4\,e^{17}\,x^2}{a^2\,f^6}+\frac{12\,b\,c^4\,d\,e^{16}\,x}{a^2\,f^6}\right)}{4\,a^2\,e\,f^3}+\frac{c^4\,e^{14}\,\left(c\,d^2+b\right)}{a^3\,f^9}+\frac{2\,c^5\,d\,e^{15}\,x}{a^3\,f^9}\right)\right)\,\left(2\,b^3\,e\,f^3-8\,a\,b\,c\,e\,f^3\right)}{2\,\left(16\,a^3\,c\,e^2\,f^6-4\,a^2\,b^2\,e^2\,f^6\right)}","Not used",1,"(atan((16*a^6*f^9*x*(((3*b^4 + a^2*c^2 - 9*a*b^2*c)*(((((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*((2*(20*a^3*c^4*d*e^17*f^6 + 2*a^2*b^2*c^3*d*e^17*f^6))/(a^3*f^9) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (12*b*c^4*d*e^16)/(a^2*f^6))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (2*c^5*d*e^15)/(a^3*f^9) - (((((2*(20*a^3*c^4*d*e^17*f^6 + 2*a^2*b^2*c^3*d*e^17*f^6))/(a^3*f^9) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2))/(4*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2)^2)/(16*a^7*e^2*f^15*(4*a*c - b^2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(8*a^3*c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)) + ((3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c)*((((((2*(20*a^3*c^4*d*e^17*f^6 + 2*a^2*b^2*c^3*d*e^17*f^6))/(a^3*f^9) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2))/(4*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + ((((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*((2*(20*a^3*c^4*d*e^17*f^6 + 2*a^2*b^2*c^3*d*e^17*f^6))/(a^3*f^9) + ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (12*b*c^4*d*e^16)/(a^2*f^6))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((40*a^4*b*c^3*d*e^18*f^9 - 12*a^3*b^3*c^2*d*e^18*f^9)*(2*a*c - b^2)^3)/(32*a^9*e^3*f^18*(4*a*c - b^2)^(3/2))))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)))*(4*a*c - b^2)^(3/2))/(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14) + (16*a^6*f^9*x^2*(((3*b^4 + a^2*c^2 - 9*a*b^2*c)*((((((20*a^3*c^4*e^18*f^6 + 2*a^2*b^2*c^3*e^18*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (6*b*c^4*e^17)/(a^2*f^6))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (c^5*e^16)/(a^3*f^9) - ((2*a*c - b^2)*((((20*a^3*c^4*e^18*f^6 + 2*a^2*b^2*c^3*e^18*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9)*(2*a*c - b^2))/(8*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) + ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9)*(2*a*c - b^2)^2)/(32*a^7*e^2*f^15*(4*a*c - b^2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(8*a^3*c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)) + ((3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c)*(((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*((((20*a^3*c^4*e^18*f^6 + 2*a^2*b^2*c^3*e^18*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9)*(2*a*c - b^2))/(8*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + ((12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9)*(2*a*c - b^2)^3)/(64*a^9*e^3*f^18*(4*a*c - b^2)^(3/2)) + (((((20*a^3*c^4*e^18*f^6 + 2*a^2*b^2*c^3*e^18*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(12*a^3*b^3*c^2*e^19*f^9 - 40*a^4*b*c^3*e^19*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (6*b*c^4*e^17)/(a^2*f^6))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2))))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)))*(4*a*c - b^2)^(3/2))/(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14) + (2*a^3*f^9*(4*a*c - b^2)^(3/2)*(3*b^4 + a^2*c^2 - 9*a*b^2*c)*((b*c^4*e^14 + c^5*d^2*e^14)/(a^3*f^9) + (((((4*a^2*b^3*c^2*e^16*f^6 + 20*a^3*c^4*d^2*e^16*f^6 - 4*a^3*b*c^3*e^16*f^6 + 2*a^2*b^2*c^3*d^2*e^16*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (4*a*b^2*c^3*e^15*f^3 - a^2*c^4*e^15*f^3 + 6*a*b*c^4*d^2*e^15*f^3)/(a^3*f^9))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) - ((2*a*c - b^2)*((((4*a^2*b^3*c^2*e^16*f^6 + 20*a^3*c^4*d^2*e^16*f^6 - 4*a^3*b*c^3*e^16*f^6 + 2*a^2*b^2*c^3*d^2*e^16*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(8*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) + ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2)^2*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(32*a^7*e^2*f^15*(4*a*c - b^2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14)) + (2*a^3*f^9*(4*a*c - b^2)*(((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*((((4*a^2*b^3*c^2*e^16*f^6 + 20*a^3*c^4*d^2*e^16*f^6 - 4*a^3*b*c^3*e^16*f^6 + 2*a^2*b^2*c^3*d^2*e^16*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(2*a*c - b^2)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(8*a^5*e*f^12*(4*a*c - b^2)^(1/2)*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (((((4*a^2*b^3*c^2*e^16*f^6 + 20*a^3*c^4*d^2*e^16*f^6 - 4*a^3*b*c^3*e^16*f^6 + 2*a^2*b^2*c^3*d^2*e^16*f^6)/(a^3*f^9) - ((2*b^3*e*f^3 - 8*a*b*c*e*f^3)*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(2*a^3*f^9*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6)) + (4*a*b^2*c^3*e^15*f^3 - a^2*c^4*e^15*f^3 + 6*a*b*c^4*d^2*e^15*f^3)/(a^3*f^9))*(2*a*c - b^2))/(4*a^2*e*f^3*(4*a*c - b^2)^(1/2)) + ((2*a*c - b^2)^3*(4*a^4*b^2*c^2*e^17*f^9 - 40*a^4*b*c^3*d^2*e^17*f^9 + 12*a^3*b^3*c^2*d^2*e^17*f^9))/(64*a^9*e^3*f^18*(4*a*c - b^2)^(3/2)))*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4*e^14 + b^4*c^2*e^14 - 4*a*b^2*c^3*e^14)))*(2*a*c - b^2))/(2*a^2*e*f^3*(4*a*c - b^2)^(1/2)) - 1/(2*a*e*(d^2*f^3 + e^2*f^3*x^2 + 2*d*e*f^3*x)) - (b*log(d + e*x))/(a^2*e*f^3) - (log(((c^5*e^16*x^2)/(a^3*f^9) - ((b + a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*((c^3*e^15*(4*b^2 - a*c + 6*b*c*d^2))/(a^2*f^6) - ((b + a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*((2*c^2*e^16*(2*b^3 + 10*a*c^2*d^2 + b^2*c*d^2 - 2*a*b*c))/(a*f^3) + (2*c^3*e^18*x^2*(10*a*c + b^2))/(a*f^3) + (b*c^2*e^16*(b + a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^2*f^3) + (4*c^3*d*e^17*x*(10*a*c + b^2))/(a*f^3)))/(4*a^2*e*f^3) + (6*b*c^4*e^17*x^2)/(a^2*f^6) + (12*b*c^4*d*e^16*x)/(a^2*f^6)))/(4*a^2*e*f^3) + (c^4*e^14*(b + c*d^2))/(a^3*f^9) + (2*c^5*d*e^15*x)/(a^3*f^9))*((c^5*e^16*x^2)/(a^3*f^9) - ((b - a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*((c^3*e^15*(4*b^2 - a*c + 6*b*c*d^2))/(a^2*f^6) - ((b - a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*((2*c^2*e^16*(2*b^3 + 10*a*c^2*d^2 + b^2*c*d^2 - 2*a*b*c))/(a*f^3) + (2*c^3*e^18*x^2*(10*a*c + b^2))/(a*f^3) + (b*c^2*e^16*(b - a^2*e*f^3*(-(2*a*c - b^2)^2/(a^4*e^2*f^6*(4*a*c - b^2)))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^2*f^3) + (4*c^3*d*e^17*x*(10*a*c + b^2))/(a*f^3)))/(4*a^2*e*f^3) + (6*b*c^4*e^17*x^2)/(a^2*f^6) + (12*b*c^4*d*e^16*x)/(a^2*f^6)))/(4*a^2*e*f^3) + (c^4*e^14*(b + c*d^2))/(a^3*f^9) + (2*c^5*d*e^15*x)/(a^3*f^9)))*(2*b^3*e*f^3 - 8*a*b*c*e*f^3))/(2*(16*a^3*c*e^2*f^6 - 4*a^2*b^2*e^2*f^6))","B"
645,1,5771,236,3.173196,"\text{Not used}","int(1/((d*f + e*f*x)^4*(a + b*(d + e*x)^2 + c*(d + e*x)^4)),x)","\frac{\frac{2\,b\,d\,x}{a^2}-\frac{a-3\,b\,d^2}{3\,a^2\,e}+\frac{b\,e\,x^2}{a^2}}{d^3\,f^4+3\,d^2\,e\,f^4\,x+3\,d\,e^2\,f^4\,x^2+e^3\,f^4\,x^3}-\mathrm{atan}\left(\frac{\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)-16\,a^{10}\,c^4\,e^{12}\,f^{16}-4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}+20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}+\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)+16\,a^{10}\,c^4\,e^{12}\,f^{16}+4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}-20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}}{\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)-16\,a^{10}\,c^4\,e^{12}\,f^{16}-4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}+20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)-\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)+16\,a^{10}\,c^4\,e^{12}\,f^{16}+4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}-20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)+2\,a^6\,b\,c^5\,e^{10}\,f^8}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}-16\,a^{10}\,c^4\,e^{12}\,f^{16}-4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}+20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}+\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}+16\,a^{10}\,c^4\,e^{12}\,f^{16}+4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}-20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}-16\,a^{10}\,c^4\,e^{12}\,f^{16}-4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}+20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)-\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,\left(\left(x\,\left(8\,a^{10}\,b^3\,c^2\,e^{14}\,f^{20}-32\,a^{11}\,b\,c^3\,e^{14}\,f^{20}\right)-32\,a^{11}\,b\,c^3\,d\,e^{13}\,f^{20}+8\,a^{10}\,b^3\,c^2\,d\,e^{13}\,f^{20}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}+16\,a^{10}\,c^4\,e^{12}\,f^{16}+4\,a^8\,b^4\,c^2\,e^{12}\,f^{16}-20\,a^9\,b^2\,c^3\,e^{12}\,f^{16}\right)+x\,\left(4\,a^8\,c^5\,e^{12}\,f^{12}-8\,a^7\,b^2\,c^4\,e^{12}\,f^{12}+2\,a^6\,b^4\,c^3\,e^{12}\,f^{12}\right)+4\,a^8\,c^5\,d\,e^{11}\,f^{12}+2\,a^6\,b^4\,c^3\,d\,e^{11}\,f^{12}-8\,a^7\,b^2\,c^4\,d\,e^{11}\,f^{12}\right)+2\,a^6\,b\,c^5\,e^{10}\,f^8}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^7\,c^2\,e^2\,f^8-8\,a^6\,b^2\,c\,e^2\,f^8+a^5\,b^4\,e^2\,f^8\right)}}\,2{}\mathrm{i}","Not used",1,"((2*b*d*x)/a^2 - (a - 3*b*d^2)/(3*a^2*e) + (b*e*x^2)/a^2)/(d^3*f^4 + e^3*f^4*x^3 + 3*d*e^2*f^4*x^2 + 3*d^2*e*f^4*x) - atan((((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20) - 16*a^10*c^4*e^12*f^16 - 4*a^8*b^4*c^2*e^12*f^16 + 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12)*1i + ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20) + 16*a^10*c^4*e^12*f^16 + 4*a^8*b^4*c^2*e^12*f^16 - 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12)*1i)/(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20) - 16*a^10*c^4*e^12*f^16 - 4*a^8*b^4*c^2*e^12*f^16 + 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12) - ((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*(x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20) + 16*a^10*c^4*e^12*f^16 + 4*a^8*b^4*c^2*e^12*f^16 - 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12) + 2*a^6*b*c^5*e^10*f^8))*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*2i - atan(((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2) - 16*a^10*c^4*e^12*f^16 - 4*a^8*b^4*c^2*e^12*f^16 + 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12)*1i + (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2) + 16*a^10*c^4*e^12*f^16 + 4*a^8*b^4*c^2*e^12*f^16 - 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12)*1i)/((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2) - 16*a^10*c^4*e^12*f^16 - 4*a^8*b^4*c^2*e^12*f^16 + 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12) - (-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*((x*(8*a^10*b^3*c^2*e^14*f^20 - 32*a^11*b*c^3*e^14*f^20) - 32*a^11*b*c^3*d*e^13*f^20 + 8*a^10*b^3*c^2*d*e^13*f^20)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2) + 16*a^10*c^4*e^12*f^16 + 4*a^8*b^4*c^2*e^12*f^16 - 20*a^9*b^2*c^3*e^12*f^16) + x*(4*a^8*c^5*e^12*f^12 + 2*a^6*b^4*c^3*e^12*f^12 - 8*a^7*b^2*c^4*e^12*f^12) + 4*a^8*c^5*d*e^11*f^12 + 2*a^6*b^4*c^3*d*e^11*f^12 - 8*a^7*b^2*c^4*d*e^11*f^12) + 2*a^6*b*c^5*e^10*f^8))*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^5*b^4*e^2*f^8 + 16*a^7*c^2*e^2*f^8 - 8*a^6*b^2*c*e^2*f^8)))^(1/2)*2i","B"
646,1,8025,279,5.092437,"\text{Not used}","int((d*f + e*f*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","-\frac{\frac{x\,\left(3\,b\,d^2\,f^4+2\,a\,f^4\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{b\,d^3\,f^4+2\,a\,d\,f^4}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{b\,e^2\,f^4\,x^3}{2\,\left(4\,a\,c-b^2\right)}+\frac{3\,b\,d\,e\,f^4\,x^2}{2\,\left(4\,a\,c-b^2\right)}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}-\left(\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\left(\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{4\,a^2\,b\,c^2\,e^{10}\,f^{12}+3\,a\,b^3\,c\,e^{10}\,f^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{-\frac{b^9\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^8-96\,a^2\,b^5\,c^2\,f^8+512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}-\left(\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}+\left(\frac{128\,d\,a^3\,c^4\,e^{11}\,f^8+8\,d\,a\,b^4\,c^2\,e^{11}\,f^8-4\,d\,b^6\,c\,e^{11}\,f^8}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\frac{2048\,a^4\,c^5\,e^{12}\,f^4-1536\,a^3\,b^2\,c^4\,e^{12}\,f^4+384\,a^2\,b^4\,c^3\,e^{12}\,f^4-32\,a\,b^6\,c^2\,e^{12}\,f^4}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\left(\frac{16384\,d\,a^4\,b\,c^6\,e^{13}-16384\,d\,a^3\,b^3\,c^5\,e^{13}+6144\,d\,a^2\,b^5\,c^4\,e^{13}-1024\,d\,a\,b^7\,c^3\,e^{13}+64\,d\,b^9\,c^2\,e^{13}}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-1024\,a^3\,b\,c^5\,e^{14}+768\,a^2\,b^3\,c^4\,e^{14}-192\,a\,b^5\,c^3\,e^{14}+16\,b^7\,c^2\,e^{14}\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{x\,\left(8\,a^2\,c^3\,e^{12}\,f^8+2\,a\,b^2\,c^2\,e^{12}\,f^8+b^4\,c\,e^{12}\,f^8\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}-\frac{4\,a^2\,b\,c^2\,e^{10}\,f^{12}+3\,a\,b^3\,c\,e^{10}\,f^{12}}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{\frac{f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^8+768\,a^4\,b\,c^4\,f^8+96\,a^2\,b^5\,c^2\,f^8-512\,a^3\,b^3\,c^3\,f^8}{32\,\left(4096\,a^6\,c^7\,e^2-6144\,a^5\,b^2\,c^6\,e^2+3840\,a^4\,b^4\,c^5\,e^2-1280\,a^3\,b^6\,c^4\,e^2+240\,a^2\,b^8\,c^3\,e^2-24\,a\,b^{10}\,c^2\,e^2+b^{12}\,c\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i - ((128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i)/((((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + ((128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (3*a*b^3*c*e^10*f^12 + 4*a^2*b*c^2*e^10*f^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(-(b^9*f^8 + f^8*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^8 - 96*a^2*b^5*c^2*f^8 + 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*2i - ((x*(2*a*f^4 + 3*b*d^2*f^4))/(2*(4*a*c - b^2)) + (b*d^3*f^4 + 2*a*d*f^4)/(2*e*(4*a*c - b^2)) + (b*e^2*f^4*x^3)/(2*(4*a*c - b^2)) + (3*b*d*e*f^4*x^2)/(2*(4*a*c - b^2)))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + atan(((((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i - ((128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*1i)/((((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) + ((128*a^3*c^4*d*e^11*f^8 - 4*b^6*c*d*e^11*f^8 + 8*a*b^4*c^2*d*e^11*f^8)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((2048*a^4*c^5*e^12*f^4 + 384*a^2*b^4*c^3*e^12*f^4 - 1536*a^3*b^2*c^4*e^12*f^4 - 32*a*b^6*c^2*e^12*f^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((64*b^9*c^2*d*e^13 - 1024*a*b^7*c^3*d*e^13 + 16384*a^4*b*c^6*d*e^13 + 6144*a^2*b^5*c^4*d*e^13 - 16384*a^3*b^3*c^5*d*e^13)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(16*b^7*c^2*e^14 - 192*a*b^5*c^3*e^14 - 1024*a^3*b*c^5*e^14 + 768*a^2*b^3*c^4*e^14))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (x*(b^4*c*e^12*f^8 + 8*a^2*c^3*e^12*f^8 + 2*a*b^2*c^2*e^12*f^8))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2) - (3*a*b^3*c*e^10*f^12 + 4*a^2*b*c^2*e^10*f^12)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*((f^8*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^8 + 768*a^4*b*c^4*f^8 + 96*a^2*b^5*c^2*f^8 - 512*a^3*b^3*c^3*f^8)/(32*(b^12*c*e^2 + 4096*a^6*c^7*e^2 - 24*a*b^10*c^2*e^2 + 240*a^2*b^8*c^3*e^2 - 1280*a^3*b^6*c^4*e^2 + 3840*a^4*b^4*c^5*e^2 - 6144*a^5*b^2*c^6*e^2)))^(1/2)*2i","B"
647,1,460,103,1.903425,"\text{Not used}","int((d*f + e*f*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{b\,f^3\,\mathrm{atan}\left(\frac{{\left(4\,a\,c-b^2\right)}^4\,\left(x\,\left(\frac{b^3\,f^6\,\left(2\,b^3\,c^2\,d\,e^9-8\,a\,b\,c^3\,d\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{2\,b^2\,c^2\,d\,e^7\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)+x^2\,\left(\frac{b^3\,f^6\,\left(2\,b^3\,c^2\,e^{10}-8\,a\,b\,c^3\,e^{10}\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{b^2\,c^2\,e^8\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)-\frac{b^3\,f^6\,\left(16\,a^2\,c^3\,e^8-4\,a\,b^2\,c^2\,e^8+8\,a\,b\,c^3\,d^2\,e^8-2\,b^3\,c^2\,d^2\,e^8\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}-\frac{b^2\,c^2\,d^2\,e^6\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}\right)}{2\,b^2\,c^2\,e^6\,f^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\frac{f^3\,\left(b\,d^2+2\,a\right)}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{b\,d\,f^3\,x}{4\,a\,c-b^2}+\frac{b\,e\,f^3\,x^2}{2\,\left(4\,a\,c-b^2\right)}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}","Not used",1,"(b*f^3*atan(((4*a*c - b^2)^4*(x*((b^3*f^6*(2*b^3*c^2*d*e^9 - 8*a*b*c^3*d*e^9))/(a*e^2*(4*a*c - b^2)^(11/2)) - (2*b^2*c^2*d*e^7*f^6)/(a*(4*a*c - b^2)^(7/2))) + x^2*((b^3*f^6*(2*b^3*c^2*e^10 - 8*a*b*c^3*e^10))/(2*a*e^2*(4*a*c - b^2)^(11/2)) - (b^2*c^2*e^8*f^6)/(a*(4*a*c - b^2)^(7/2))) - (b^3*f^6*(16*a^2*c^3*e^8 - 4*a*b^2*c^2*e^8 - 2*b^3*c^2*d^2*e^8 + 8*a*b*c^3*d^2*e^8))/(2*a*e^2*(4*a*c - b^2)^(11/2)) - (b^2*c^2*d^2*e^6*f^6)/(a*(4*a*c - b^2)^(7/2))))/(2*b^2*c^2*e^6*f^6)))/(e*(4*a*c - b^2)^(3/2)) - ((f^3*(2*a + b*d^2))/(2*e*(4*a*c - b^2)) + (b*d*f^3*x)/(4*a*c - b^2) + (b*e*f^3*x^2)/(2*(4*a*c - b^2)))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3)","B"
648,1,7835,263,4.397589,"\text{Not used}","int((d*f + e*f*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{\frac{x\,\left(6\,c\,d^2\,f^2+b\,f^2\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,d^3\,f^2+b\,d\,f^2}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{c\,e^2\,f^2\,x^3}{4\,a\,c-b^2}+\frac{3\,c\,d\,e\,f^2\,x^2}{4\,a\,c-b^2}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\mathrm{atan}\left(\frac{\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}+\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}+\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}-\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}}{\frac{\frac{3\,b^2\,c^3\,e^{10}\,f^6}{2}+2\,a\,c^4\,e^{10}\,f^6}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}+\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)-\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-\frac{b^9\,f^4}{32}+24\,a^4\,b\,c^4\,f^4+3\,a^2\,b^5\,c^2\,f^4-16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}-\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)}\right)\,\sqrt{\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,f^4+768\,a^4\,b\,c^4\,f^4+96\,a^2\,b^5\,c^2\,f^4-512\,a^3\,b^3\,c^3\,f^4}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}+\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}+\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}-\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,1{}\mathrm{i}}{\frac{\frac{3\,b^2\,c^3\,e^{10}\,f^6}{2}+2\,a\,c^4\,e^{10}\,f^6}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}+\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)-\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}\,\left(\left(\frac{2048\,d\,a^4\,b\,c^6\,e^{13}-2048\,d\,a^3\,b^3\,c^5\,e^{13}+768\,d\,a^2\,b^5\,c^4\,e^{13}-128\,d\,a\,b^7\,c^3\,e^{13}+8\,d\,b^9\,c^2\,e^{13}}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{x\,\left(-512\,a^3\,b\,c^5\,e^{14}+384\,a^2\,b^3\,c^4\,e^{14}-96\,a\,b^5\,c^3\,e^{14}+8\,b^7\,c^2\,e^{14}\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{\frac{b^9\,f^4}{32}+\frac{f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32}-24\,a^4\,b\,c^4\,f^4-3\,a^2\,b^5\,c^2\,f^4+16\,a^3\,b^3\,c^3\,f^4}{4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2}}-\frac{-128\,a^3\,b\,c^5\,e^{12}\,f^2+96\,a^2\,b^3\,c^4\,e^{12}\,f^2-24\,a\,b^5\,c^3\,e^{12}\,f^2+2\,b^7\,c^2\,e^{12}\,f^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)+\frac{16\,d\,a^2\,c^5\,e^{11}\,f^4-24\,d\,a\,b^2\,c^4\,e^{11}\,f^4+5\,d\,b^4\,c^3\,e^{11}\,f^4}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{x\,\left(4\,a\,c^4\,e^{12}\,f^4-5\,b^2\,c^3\,e^{12}\,f^4\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)}\right)\,\sqrt{-\frac{b^9\,f^4+f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,f^4-96\,a^2\,b^5\,c^2\,f^4+512\,a^3\,b^3\,c^3\,f^4}{32\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2+3840\,a^5\,b^4\,c^4\,e^2-1280\,a^4\,b^6\,c^3\,e^2+240\,a^3\,b^8\,c^2\,e^2-24\,a^2\,b^{10}\,c\,e^2+a\,b^{12}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"((x*(b*f^2 + 6*c*d^2*f^2))/(2*(4*a*c - b^2)) + (2*c*d^3*f^2 + b*d*f^2)/(2*e*(4*a*c - b^2)) + (c*e^2*f^2*x^3)/(4*a*c - b^2) + (3*c*d*e*f^2*x^2)/(4*a*c - b^2))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + atan(((((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) + (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i + (((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) - (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i)/((2*a*c^4*e^10*f^6 + (3*b^2*c^3*e^10*f^6)/2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) + (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - (b^9*f^4)/32 + 24*a^4*b*c^4*f^4 + 3*a^2*b^5*c^2*f^4 - 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) - (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))*((f^4*(-(4*a*c - b^2)^9)^(1/2) - b^9*f^4 + 768*a^4*b*c^4*f^4 + 96*a^2*b^5*c^2*f^4 - 512*a^3*b^3*c^3*f^4)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*2i + atan(((-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) + (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i + (-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) - (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*1i)/((2*a*c^4*e^10*f^6 + (3*b^2*c^3*e^10*f^6)/2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) + (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*((-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2)*(((8*b^9*c^2*d*e^13 - 128*a*b^7*c^3*d*e^13 + 2048*a^4*b*c^6*d*e^13 + 768*a^2*b^5*c^4*d*e^13 - 2048*a^3*b^3*c^5*d*e^13)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (x*(8*b^7*c^2*e^14 - 96*a*b^5*c^3*e^14 - 512*a^3*b*c^5*e^14 + 384*a^2*b^3*c^4*e^14))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-((b^9*f^4)/32 + (f^4*(-(4*a*c - b^2)^9)^(1/2))/32 - 24*a^4*b*c^4*f^4 - 3*a^2*b^5*c^2*f^4 + 16*a^3*b^3*c^3*f^4)/(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2))^(1/2) - (2*b^7*c^2*e^12*f^2 + 96*a^2*b^3*c^4*e^12*f^2 - 24*a*b^5*c^3*e^12*f^2 - 128*a^3*b*c^5*e^12*f^2)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (16*a^2*c^5*d*e^11*f^4 + 5*b^4*c^3*d*e^11*f^4 - 24*a*b^2*c^4*d*e^11*f^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (x*(4*a*c^4*e^12*f^4 - 5*b^2*c^3*e^12*f^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))*(-(b^9*f^4 + f^4*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*f^4 - 96*a^2*b^5*c^2*f^4 + 512*a^3*b^3*c^3*f^4)/(32*(a*b^12*e^2 + 4096*a^7*c^6*e^2 - 24*a^2*b^10*c*e^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2)))^(1/2)*2i","B"
649,1,442,98,1.905168,"\text{Not used}","int((d*f + e*f*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2,x)","\frac{\frac{f\,\left(2\,c\,d^2+b\right)}{2\,e\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,d\,f\,x}{4\,a\,c-b^2}+\frac{c\,e\,f\,x^2}{4\,a\,c-b^2}}{a+x^2\,\left(6\,c\,d^2\,e^2+b\,e^2\right)+b\,d^2+c\,d^4+x\,\left(4\,c\,e\,d^3+2\,b\,e\,d\right)+c\,e^4\,x^4+4\,c\,d\,e^3\,x^3}+\frac{2\,c\,f\,\mathrm{atan}\left(\frac{{\left(4\,a\,c-b^2\right)}^4\,\left(x\,\left(\frac{8\,c^4\,d\,e^7\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}-\frac{8\,b\,c^2\,f^2\,\left(b^3\,c^2\,d\,e^9-4\,a\,b\,c^3\,d\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)+x^2\,\left(\frac{4\,c^4\,e^8\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}-\frac{4\,b\,c^2\,f^2\,\left(b^3\,c^2\,e^{10}-4\,a\,b\,c^3\,e^{10}\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)+\frac{4\,c^4\,d^2\,e^6\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{4\,b\,c^2\,f^2\,\left(8\,a^2\,c^3\,e^8-2\,a\,b^2\,c^2\,e^8+4\,a\,b\,c^3\,d^2\,e^8-b^3\,c^2\,d^2\,e^8\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{11/2}}\right)}{8\,c^4\,e^6\,f^2}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((f*(b + 2*c*d^2))/(2*e*(4*a*c - b^2)) + (2*c*d*f*x)/(4*a*c - b^2) + (c*e*f*x^2)/(4*a*c - b^2))/(a + x^2*(b*e^2 + 6*c*d^2*e^2) + b*d^2 + c*d^4 + x*(2*b*d*e + 4*c*d^3*e) + c*e^4*x^4 + 4*c*d*e^3*x^3) + (2*c*f*atan(((4*a*c - b^2)^4*(x*((8*c^4*d*e^7*f^2)/(a*(4*a*c - b^2)^(7/2)) - (8*b*c^2*f^2*(b^3*c^2*d*e^9 - 4*a*b*c^3*d*e^9))/(a*e^2*(4*a*c - b^2)^(11/2))) + x^2*((4*c^4*e^8*f^2)/(a*(4*a*c - b^2)^(7/2)) - (4*b*c^2*f^2*(b^3*c^2*e^10 - 4*a*b*c^3*e^10))/(a*e^2*(4*a*c - b^2)^(11/2))) + (4*c^4*d^2*e^6*f^2)/(a*(4*a*c - b^2)^(7/2)) + (4*b*c^2*f^2*(8*a^2*c^3*e^8 - 2*a*b^2*c^2*e^8 - b^3*c^2*d^2*e^8 + 4*a*b*c^3*d^2*e^8))/(a*e^2*(4*a*c - b^2)^(11/2))))/(8*c^4*e^6*f^2)))/(e*(4*a*c - b^2)^(3/2))","B"
650,1,13434,174,11.689017,"\text{Not used}","int(1/((d*f + e*f*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","\frac{\frac{b^2+c\,b\,d^2-2\,a\,c}{2\,e\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{b\,c\,e\,x^2}{2\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{b\,c\,d\,x}{a\,b^2-4\,a^2\,c}}{a\,f+x^2\,\left(6\,c\,f\,d^2\,e^2+b\,f\,e^2\right)+x\,\left(4\,c\,e\,f\,d^3+2\,b\,e\,f\,d\right)+b\,d^2\,f+c\,d^4\,f+c\,e^4\,f\,x^4+4\,c\,d\,e^3\,f\,x^3}-\frac{\ln\left(\left(\frac{\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(\frac{\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(\frac{2\,b\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-10\,a\,b\,c-10\,a\,c^2\,d^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}+\frac{b\,c^2\,e^{16}\,\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}-1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2\,f}-\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a\,c-b^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}-\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a\,c-b^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}\right)}{4\,a^2\,e\,f}-\frac{b\,c^3\,e^{15}\,\left(4\,b^3+6\,b^2\,c\,d^2-17\,a\,b\,c-20\,a\,c^2\,d^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,b\,c^4\,e^{17}\,x^2\,\left(10\,a\,c-3\,b^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,d\,e^{16}\,x\,\left(10\,a\,c-3\,b^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^2\,e\,f}+\frac{b^3\,c^5\,e^{16}\,x^2}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{b^2\,c^4\,e^{14}\,\left(b^2+c\,b\,d^2-4\,a\,c\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{2\,b^3\,c^5\,d\,e^{15}\,x}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^3\,c^5\,e^{16}\,x^2}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}-\frac{\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(\frac{\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(\frac{b\,c^2\,e^{16}\,\left(a^2\,e\,f\,\sqrt{-\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2}{a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3}}+1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^2\,f}-\frac{2\,b\,c^2\,e^{16}\,\left(2\,b^3+b^2\,c\,d^2-10\,a\,b\,c-10\,a\,c^2\,d^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a\,c-b^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a\,c-b^2\right)}{a\,f\,\left(4\,a\,c-b^2\right)}\right)}{4\,a^2\,e\,f}-\frac{b\,c^3\,e^{15}\,\left(4\,b^3+6\,b^2\,c\,d^2-17\,a\,b\,c-20\,a\,c^2\,d^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,b\,c^4\,e^{17}\,x^2\,\left(10\,a\,c-3\,b^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,d\,e^{16}\,x\,\left(10\,a\,c-3\,b^2\right)}{a^2\,f^2\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^2\,e\,f}+\frac{b^2\,c^4\,e^{14}\,\left(b^2+c\,b\,d^2-4\,a\,c\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}+\frac{2\,b^3\,c^5\,d\,e^{15}\,x}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^3}\right)\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}+\frac{\ln\left(d+e\,x\right)}{a^2\,e\,f}+\frac{b\,\mathrm{atan}\left(\frac{x^2\,\left(\frac{\left(\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{80\,f\,a^3\,b\,c^6\,e^{17}-44\,f\,a^2\,b^3\,c^5\,e^{17}+6\,f\,a\,b^5\,c^4\,e^{17}}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}-\frac{\left(\frac{-320\,a^5\,b\,c^6\,e^{18}\,f^2+192\,a^4\,b^3\,c^5\,e^{18}\,f^2-36\,a^3\,b^5\,c^4\,e^{18}\,f^2+2\,a^2\,b^7\,c^3\,e^{18}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{b\,\left(\frac{-320\,a^5\,b\,c^6\,e^{18}\,f^2+192\,a^4\,b^3\,c^5\,e^{18}\,f^2-36\,a^3\,b^5\,c^4\,e^{18}\,f^2+2\,a^2\,b^7\,c^3\,e^{18}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{8\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{64\,a^6\,e^3\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(\frac{\left(\frac{80\,f\,a^3\,b\,c^6\,e^{17}-44\,f\,a^2\,b^3\,c^5\,e^{17}+6\,f\,a\,b^5\,c^4\,e^{17}}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}-\frac{\left(\frac{-320\,a^5\,b\,c^6\,e^{18}\,f^2+192\,a^4\,b^3\,c^5\,e^{18}\,f^2-36\,a^3\,b^5\,c^4\,e^{18}\,f^2+2\,a^2\,b^7\,c^3\,e^{18}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}-\frac{b^3\,c^5\,e^{16}}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{b\,\left(\frac{b\,\left(\frac{-320\,a^5\,b\,c^6\,e^{18}\,f^2+192\,a^4\,b^3\,c^5\,e^{18}\,f^2-36\,a^3\,b^5\,c^4\,e^{18}\,f^2+2\,a^2\,b^7\,c^3\,e^{18}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^5\,e^{19}\,f^3+1056\,a^5\,b^5\,c^4\,e^{19}\,f^3-184\,a^4\,b^7\,c^3\,e^{19}\,f^3+12\,a^3\,b^9\,c^2\,e^{19}\,f^3\right)}{8\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(2560\,a^7\,b\,c^6\,e^{19}\,f^3-2688\,a^6\,b^3\,c^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,c^5\,e^{16}\,f^2-320\,a^5\,b\,c^6\,d^2\,e^{16}\,f^2+224\,a^4\,b^4\,c^4\,e^{16}\,f^2+192\,a^4\,b^3\,c^5\,d^2\,e^{16}\,f^2-52\,a^3\,b^6\,c^3\,e^{16}\,f^2-36\,a^3\,b^5\,c^4\,d^2\,e^{16}\,f^2+4\,a^2\,b^8\,c^2\,e^{16}\,f^2+2\,a^2\,b^7\,c^3\,d^2\,e^{16}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{8\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{64\,a^6\,e^3\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)}\right)\,\left(16\,a^6\,b^6\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(36\,a^2\,b^2\,c^4\,e^{14}-12\,a\,b^4\,c^3\,e^{14}+b^6\,c^2\,e^{14}\right)\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(16\,a^6\,b^6\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,f^3\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(\frac{\left(\frac{68\,f\,a^3\,b^2\,c^5\,e^{15}+80\,f\,a^3\,b\,c^6\,d^2\,e^{15}-33\,f\,a^2\,b^4\,c^4\,e^{15}-44\,f\,a^2\,b^3\,c^5\,d^2\,e^{15}+4\,f\,a\,b^6\,c^3\,e^{15}+6\,f\,a\,b^5\,c^4\,d^2\,e^{15}}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}-\frac{\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}\,f^2-320\,a^5\,b\,c^6\,d^2\,e^{16}\,f^2+224\,a^4\,b^4\,c^4\,e^{16}\,f^2+192\,a^4\,b^3\,c^5\,d^2\,e^{16}\,f^2-52\,a^3\,b^6\,c^3\,e^{16}\,f^2-36\,a^3\,b^5\,c^4\,d^2\,e^{16}\,f^2+4\,a^2\,b^8\,c^2\,e^{16}\,f^2+2\,a^2\,b^7\,c^3\,d^2\,e^{16}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)}{2\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}-\frac{b^4\,c^4\,e^{14}+b^3\,c^5\,d^2\,e^{14}-4\,a\,b^2\,c^5\,e^{14}}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{b\,\left(\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{-320\,a^5\,b^2\,c^5\,e^{16}\,f^2-320\,a^5\,b\,c^6\,d^2\,e^{16}\,f^2+224\,a^4\,b^4\,c^4\,e^{16}\,f^2+192\,a^4\,b^3\,c^5\,d^2\,e^{16}\,f^2-52\,a^3\,b^6\,c^3\,e^{16}\,f^2-36\,a^3\,b^5\,c^4\,d^2\,e^{16}\,f^2+4\,a^2\,b^8\,c^2\,e^{16}\,f^2+2\,a^2\,b^7\,c^3\,d^2\,e^{16}\,f^2}{-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3}+\frac{\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{8\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,e\,f\,a^3\,c^3+96\,e\,f\,a^2\,b^2\,c^2-24\,e\,f\,a\,b^4\,c+2\,e\,f\,b^6\right)\,\left(-256\,a^7\,b^2\,c^5\,e^{17}\,f^3+2560\,a^7\,b\,c^6\,d^2\,e^{17}\,f^3+192\,a^6\,b^4\,c^4\,e^{17}\,f^3-2688\,a^6\,b^3\,c^5\,d^2\,e^{17}\,f^3-48\,a^5\,b^6\,c^3\,e^{17}\,f^3+1056\,a^5\,b^5\,c^4\,d^2\,e^{17}\,f^3+4\,a^4\,b^8\,c^2\,e^{17}\,f^3-184\,a^4\,b^7\,c^3\,d^2\,e^{17}\,f^3+12\,a^3\,b^9\,c^2\,d^2\,e^{17}\,f^3\right)}{32\,a^4\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3\,f^3+48\,a^5\,b^2\,c^2\,f^3-12\,a^4\,b^4\,c\,f^3+a^3\,b^6\,f^3\right)\,\left(-256\,a^5\,c^3\,e^2\,f^2+192\,a^4\,b^2\,c^2\,e^2\,f^2-48\,a^3\,b^4\,c\,e^2\,f^2+4\,a^2\,b^6\,e^2\,f^2\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(36\,a^2\,b^2\,c^4\,e^{14}-12\,a\,b^4\,c^3\,e^{14}+b^6\,c^2\,e^{14}\right)\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{2\,a^2\,e\,f\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((b^2 - 2*a*c + b*c*d^2)/(2*e*(a*b^2 - 4*a^2*c)) + (b*c*e*x^2)/(2*(a*b^2 - 4*a^2*c)) + (b*c*d*x)/(a*b^2 - 4*a^2*c))/(a*f + x^2*(b*e^2*f + 6*c*d^2*e^2*f) + x*(4*c*d^3*e*f + 2*b*d*e*f) + b*d^2*f + c*d^4*f + c*e^4*f*x^4 + 4*c*d*e^3*f*x^3) - (log((((a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) - 1)*(((a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) - 1)*((2*b*c^2*e^16*(2*b^3 - 10*a*c^2*d^2 + b^2*c*d^2 - 10*a*b*c))/(a*f*(4*a*c - b^2)) + (b*c^2*e^16*(a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) - 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^2*f) - (2*b*c^3*e^18*x^2*(10*a*c - b^2))/(a*f*(4*a*c - b^2)) - (4*b*c^3*d*e^17*x*(10*a*c - b^2))/(a*f*(4*a*c - b^2))))/(4*a^2*e*f) - (b*c^3*e^15*(4*b^3 - 20*a*c^2*d^2 + 6*b^2*c*d^2 - 17*a*b*c))/(a^2*f^2*(4*a*c - b^2)^2) + (2*b*c^4*e^17*x^2*(10*a*c - 3*b^2))/(a^2*f^2*(4*a*c - b^2)^2) + (4*b*c^4*d*e^16*x*(10*a*c - 3*b^2))/(a^2*f^2*(4*a*c - b^2)^2)))/(4*a^2*e*f) + (b^3*c^5*e^16*x^2)/(a^3*f^3*(4*a*c - b^2)^3) + (b^2*c^4*e^14*(b^2 - 4*a*c + b*c*d^2))/(a^3*f^3*(4*a*c - b^2)^3) + (2*b^3*c^5*d*e^15*x)/(a^3*f^3*(4*a*c - b^2)^3))*((b^3*c^5*e^16*x^2)/(a^3*f^3*(4*a*c - b^2)^3) - ((a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) + 1)*(((a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) + 1)*((b*c^2*e^16*(a^2*e*f*(-(b^2*(6*a*c - b^2)^2)/(a^4*e^2*f^2*(4*a*c - b^2)^3))^(1/2) + 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^2*f) - (2*b*c^2*e^16*(2*b^3 - 10*a*c^2*d^2 + b^2*c*d^2 - 10*a*b*c))/(a*f*(4*a*c - b^2)) + (2*b*c^3*e^18*x^2*(10*a*c - b^2))/(a*f*(4*a*c - b^2)) + (4*b*c^3*d*e^17*x*(10*a*c - b^2))/(a*f*(4*a*c - b^2))))/(4*a^2*e*f) - (b*c^3*e^15*(4*b^3 - 20*a*c^2*d^2 + 6*b^2*c*d^2 - 17*a*b*c))/(a^2*f^2*(4*a*c - b^2)^2) + (2*b*c^4*e^17*x^2*(10*a*c - 3*b^2))/(a^2*f^2*(4*a*c - b^2)^2) + (4*b*c^4*d*e^16*x*(10*a*c - 3*b^2))/(a^2*f^2*(4*a*c - b^2)^2)))/(4*a^2*e*f) + (b^2*c^4*e^14*(b^2 - 4*a*c + b*c*d^2))/(a^3*f^3*(4*a*c - b^2)^3) + (2*b^3*c^5*d*e^15*x)/(a^3*f^3*(4*a*c - b^2)^3)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) + log(d + e*x)/(a^2*e*f) + (b*atan((x^2*((((b*(6*a*c - b^2)*((6*a*b^5*c^4*e^17*f + 80*a^3*b*c^6*e^17*f - 44*a^2*b^3*c^5*e^17*f)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - (((2*a^2*b^7*c^3*e^18*f^2 - 36*a^3*b^5*c^4*e^18*f^2 + 192*a^4*b^3*c^5*e^18*f^2 - 320*a^5*b*c^6*e^18*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) - (((b*((2*a^2*b^7*c^3*e^18*f^2 - 36*a^3*b^5*c^4*e^18*f^2 + 192*a^4*b^3*c^5*e^18*f^2 - 320*a^5*b*c^6*e^18*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(8*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) + (b^3*(6*a*c - b^2)^3*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(64*a^6*e^3*f^3*(4*a*c - b^2)^(9/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((6*a*b^5*c^4*e^17*f + 80*a^3*b*c^6*e^17*f - 44*a^2*b^3*c^5*e^17*f)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - (((2*a^2*b^7*c^3*e^18*f^2 - 36*a^3*b^5*c^4*e^18*f^2 + 192*a^4*b^3*c^5*e^18*f^2 - 320*a^5*b*c^6*e^18*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) - (b^3*c^5*e^16)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + (b*((b*((2*a^2*b^7*c^3*e^18*f^2 - 36*a^3*b^5*c^4*e^18*f^2 + 192*a^4*b^3*c^5*e^18*f^2 - 320*a^5*b*c^6*e^18*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(8*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(12*a^3*b^9*c^2*e^19*f^3 - 184*a^4*b^7*c^3*e^19*f^3 + 1056*a^5*b^5*c^4*e^19*f^3 - 2688*a^6*b^3*c^5*e^19*f^3 + 2560*a^7*b*c^6*e^19*f^3))/(32*a^4*e^2*f^2*(4*a*c - b^2)^3*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)))*(16*a^6*b^6*f^3*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*f^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*f^3*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*f^3*(4*a*c - b^2)^(9/2)))/(b^6*c^2*e^14 - 12*a*b^4*c^3*e^14 + 36*a^2*b^2*c^4*e^14) + (x*((((((b*(6*a*c - b^2)*((2*(320*a^5*b*c^6*d*e^17*f^2 - 2*a^2*b^7*c^3*d*e^17*f^2 + 36*a^3*b^5*c^4*d*e^17*f^2 - 192*a^4*b^3*c^5*d*e^17*f^2))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/((a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) + (b*((2*(6*a*b^5*c^4*d*e^16*f - 44*a^2*b^3*c^5*d*e^16*f + 80*a^3*b*c^6*d*e^16*f))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + (((2*(320*a^5*b*c^6*d*e^17*f^2 - 2*a^2*b^7*c^3*d*e^17*f^2 + 36*a^3*b^5*c^4*d*e^17*f^2 - 192*a^4*b^3*c^5*d*e^17*f^2))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/((a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b^3*(6*a*c - b^2)^3*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/(32*a^6*e^3*f^3*(4*a*c - b^2)^(9/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((2*(6*a*b^5*c^4*d*e^16*f - 44*a^2*b^3*c^5*d*e^16*f + 80*a^3*b*c^6*d*e^16*f))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + (((2*(320*a^5*b*c^6*d*e^17*f^2 - 2*a^2*b^7*c^3*d*e^17*f^2 + 36*a^3*b^5*c^4*d*e^17*f^2 - 192*a^4*b^3*c^5*d*e^17*f^2))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/((a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) - (2*b^3*c^5*d*e^15)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - (b*(6*a*c - b^2)*((b*(6*a*c - b^2)*((2*(320*a^5*b*c^6*d*e^17*f^2 - 2*a^2*b^7*c^3*d*e^17*f^2 + 36*a^3*b^5*c^4*d*e^17*f^2 - 192*a^4*b^3*c^5*d*e^17*f^2))/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/((a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(2560*a^7*b*c^6*d*e^18*f^3 + 12*a^3*b^9*c^2*d*e^18*f^3 - 184*a^4*b^7*c^3*d*e^18*f^3 + 1056*a^5*b^5*c^4*d*e^18*f^3 - 2688*a^6*b^3*c^5*d*e^18*f^3))/(16*a^4*e^2*f^2*(4*a*c - b^2)^3*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)))*(16*a^6*b^6*f^3*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*f^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*f^3*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*f^3*(4*a*c - b^2)^(9/2)))/(b^6*c^2*e^14 - 12*a*b^4*c^3*e^14 + 36*a^2*b^2*c^4*e^14) + (((b*((4*a*b^6*c^3*e^15*f - 33*a^2*b^4*c^4*e^15*f + 68*a^3*b^2*c^5*e^15*f + 6*a*b^5*c^4*d^2*e^15*f + 80*a^3*b*c^6*d^2*e^15*f - 44*a^2*b^3*c^5*d^2*e^15*f)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - (((4*a^2*b^8*c^2*e^16*f^2 - 52*a^3*b^6*c^3*e^16*f^2 + 224*a^4*b^4*c^4*e^16*f^2 - 320*a^5*b^2*c^5*e^16*f^2 - 320*a^5*b*c^6*d^2*e^16*f^2 + 2*a^2*b^7*c^3*d^2*e^16*f^2 - 36*a^3*b^5*c^4*d^2*e^16*f^2 + 192*a^4*b^3*c^5*d^2*e^16*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) - (((b*(6*a*c - b^2)*((4*a^2*b^8*c^2*e^16*f^2 - 52*a^3*b^6*c^3*e^16*f^2 + 224*a^4*b^4*c^4*e^16*f^2 - 320*a^5*b^2*c^5*e^16*f^2 - 320*a^5*b*c^6*d^2*e^16*f^2 + 2*a^2*b^7*c^3*d^2*e^16*f^2 - 36*a^3*b^5*c^4*d^2*e^16*f^2 + 192*a^4*b^3*c^5*d^2*e^16*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(8*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) + (b^3*(6*a*c - b^2)^3*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(64*a^6*e^3*f^3*(4*a*c - b^2)^(9/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)))*(16*a^6*b^6*f^3*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*f^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*f^3*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*f^3*(4*a*c - b^2)^(9/2))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(b^6*c^2*e^14 - 12*a*b^4*c^3*e^14 + 36*a^2*b^2*c^4*e^14)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*(16*a^6*b^6*f^3*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*f^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*f^3*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*f^3*(4*a*c - b^2)^(9/2))*((((4*a*b^6*c^3*e^15*f - 33*a^2*b^4*c^4*e^15*f + 68*a^3*b^2*c^5*e^15*f + 6*a*b^5*c^4*d^2*e^15*f + 80*a^3*b*c^6*d^2*e^15*f - 44*a^2*b^3*c^5*d^2*e^15*f)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) - (((4*a^2*b^8*c^2*e^16*f^2 - 52*a^3*b^6*c^3*e^16*f^2 + 224*a^4*b^4*c^4*e^16*f^2 - 320*a^5*b^2*c^5*e^16*f^2 - 320*a^5*b*c^6*d^2*e^16*f^2 + 2*a^2*b^7*c^3*d^2*e^16*f^2 - 36*a^3*b^5*c^4*d^2*e^16*f^2 + 192*a^4*b^3*c^5*d^2*e^16*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f))/(2*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)) - (b^4*c^4*e^14 - 4*a*b^2*c^5*e^14 + b^3*c^5*d^2*e^14)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + (b*((b*(6*a*c - b^2)*((4*a^2*b^8*c^2*e^16*f^2 - 52*a^3*b^6*c^3*e^16*f^2 + 224*a^4*b^4*c^4*e^16*f^2 - 320*a^5*b^2*c^5*e^16*f^2 - 320*a^5*b*c^6*d^2*e^16*f^2 + 2*a^2*b^7*c^3*d^2*e^16*f^2 - 36*a^3*b^5*c^4*d^2*e^16*f^2 + 192*a^4*b^3*c^5*d^2*e^16*f^2)/(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3) + ((2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(2*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(8*a^2*e*f*(4*a*c - b^2)^(3/2)*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2)))*(6*a*c - b^2))/(4*a^2*e*f*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6*e*f - 128*a^3*c^3*e*f + 96*a^2*b^2*c^2*e*f - 24*a*b^4*c*e*f)*(4*a^4*b^8*c^2*e^17*f^3 - 48*a^5*b^6*c^3*e^17*f^3 + 192*a^6*b^4*c^4*e^17*f^3 - 256*a^7*b^2*c^5*e^17*f^3 + 2560*a^7*b*c^6*d^2*e^17*f^3 + 12*a^3*b^9*c^2*d^2*e^17*f^3 - 184*a^4*b^7*c^3*d^2*e^17*f^3 + 1056*a^5*b^5*c^4*d^2*e^17*f^3 - 2688*a^6*b^3*c^5*d^2*e^17*f^3))/(32*a^4*e^2*f^2*(4*a*c - b^2)^3*(a^3*b^6*f^3 - 64*a^6*c^3*f^3 - 12*a^4*b^4*c*f^3 + 48*a^5*b^2*c^2*f^3)*(4*a^2*b^6*e^2*f^2 - 256*a^5*c^3*e^2*f^2 + 192*a^4*b^2*c^2*e^2*f^2 - 48*a^3*b^4*c*e^2*f^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(b^6*c^2*e^14 - 12*a*b^4*c^3*e^14 + 36*a^2*b^2*c^4*e^14)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)))*(6*a*c - b^2))/(2*a^2*e*f*(4*a*c - b^2)^(3/2))","B"
651,1,12008,360,7.288558,"\text{Not used}","int(1/((d*f + e*f*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","-\frac{\frac{x\,\left(3\,b^3\,d+6\,b^2\,c\,d^3-11\,a\,b\,c\,d-20\,a\,c^2\,d^3\right)}{a\,\left(a\,b^2-4\,a^2\,c\right)}-\frac{x^4\,\left(10\,a\,c^2\,e^3-3\,b^2\,c\,e^3\right)}{2\,a\,\left(a\,b^2-4\,a^2\,c\right)}-\frac{2\,x^3\,\left(10\,a\,c^2\,d\,e^2-3\,b^2\,c\,d\,e^2\right)}{a\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{-8\,a^2\,c+2\,a\,b^2-11\,a\,b\,c\,d^2-10\,a\,c^2\,d^4+3\,b^3\,d^2+3\,b^2\,c\,d^4}{2\,a\,e\,\left(a\,b^2-4\,a^2\,c\right)}+\frac{x^2\,\left(3\,e\,b^3+18\,e\,b^2\,c\,d^2-11\,a\,e\,b\,c-60\,a\,e\,c^2\,d^2\right)}{2\,a\,\left(a\,b^2-4\,a^2\,c\right)}}{x^2\,\left(10\,c\,d^3\,e^2\,f^2+3\,b\,d\,e^2\,f^2\right)+x\,\left(5\,c\,e\,d^4\,f^2+3\,b\,e\,d^2\,f^2+a\,e\,f^2\right)+x^3\,\left(10\,c\,d^2\,e^3\,f^2+b\,e^3\,f^2\right)+b\,d^3\,f^2+c\,d^5\,f^2+a\,d\,f^2+c\,e^5\,f^2\,x^5+5\,c\,d\,e^4\,f^2\,x^4}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)-192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8+4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8-47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8+256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8-778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8+1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8-851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)+192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8-4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8+47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8-256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8+778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8-1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8+851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)+192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8-4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8+47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8-256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8+778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8-1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8+851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)-\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)-192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8+4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8-47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8+256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8-778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8+1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8-851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)+128000\,a^{10}\,c^9\,e^{10}\,f^4+504\,a^6\,b^8\,c^5\,e^{10}\,f^4-8112\,a^7\,b^6\,c^6\,e^{10}\,f^4+48704\,a^8\,b^4\,c^7\,e^{10}\,f^4-129280\,a^9\,b^2\,c^8\,e^{10}\,f^4}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)-192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8+4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8-47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8+256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8-778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8+1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8-851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)+192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8-4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8+47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8-256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8+778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8-1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8+851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)+192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8-4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8+47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8-256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8+778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8-1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8+851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)-\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,\left(x\,\left(1048576\,a^{16}\,b\,c^8\,e^{14}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,e^{14}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,e^{14}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,e^{14}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,e^{14}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,e^{14}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,e^{14}\,f^{10}\right)+1048576\,a^{16}\,b\,c^8\,d\,e^{13}\,f^{10}+256\,a^{10}\,b^{13}\,c^2\,d\,e^{13}\,f^{10}-6144\,a^{11}\,b^{11}\,c^3\,d\,e^{13}\,f^{10}+61440\,a^{12}\,b^9\,c^4\,d\,e^{13}\,f^{10}-327680\,a^{13}\,b^7\,c^5\,d\,e^{13}\,f^{10}+983040\,a^{14}\,b^5\,c^6\,d\,e^{13}\,f^{10}-1572864\,a^{15}\,b^3\,c^7\,d\,e^{13}\,f^{10}\right)-192\,a^8\,b^{13}\,c^2\,e^{12}\,f^8+4672\,a^9\,b^{11}\,c^3\,e^{12}\,f^8-47360\,a^{10}\,b^9\,c^4\,e^{12}\,f^8+256000\,a^{11}\,b^7\,c^5\,e^{12}\,f^8-778240\,a^{12}\,b^5\,c^6\,e^{12}\,f^8+1261568\,a^{13}\,b^3\,c^7\,e^{12}\,f^8-851968\,a^{14}\,b\,c^8\,e^{12}\,f^8\right)+x\,\left(204800\,a^{12}\,c^9\,e^{12}\,f^6-458752\,a^{11}\,b^2\,c^8\,e^{12}\,f^6+365568\,a^{10}\,b^4\,c^7\,e^{12}\,f^6-143360\,a^9\,b^6\,c^6\,e^{12}\,f^6+30112\,a^8\,b^8\,c^5\,e^{12}\,f^6-3264\,a^7\,b^{10}\,c^4\,e^{12}\,f^6+144\,a^6\,b^{12}\,c^3\,e^{12}\,f^6\right)+204800\,a^{12}\,c^9\,d\,e^{11}\,f^6+144\,a^6\,b^{12}\,c^3\,d\,e^{11}\,f^6-3264\,a^7\,b^{10}\,c^4\,d\,e^{11}\,f^6+30112\,a^8\,b^8\,c^5\,d\,e^{11}\,f^6-143360\,a^9\,b^6\,c^6\,d\,e^{11}\,f^6+365568\,a^{10}\,b^4\,c^7\,d\,e^{11}\,f^6-458752\,a^{11}\,b^2\,c^8\,d\,e^{11}\,f^6\right)+128000\,a^{10}\,c^9\,e^{10}\,f^4+504\,a^6\,b^8\,c^5\,e^{10}\,f^4-8112\,a^7\,b^6\,c^6\,e^{10}\,f^4+48704\,a^8\,b^4\,c^7\,e^{10}\,f^4-129280\,a^9\,b^2\,c^8\,e^{10}\,f^4}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6\,e^2\,f^4-6144\,a^{10}\,b^2\,c^5\,e^2\,f^4+3840\,a^9\,b^4\,c^4\,e^2\,f^4-1280\,a^8\,b^6\,c^3\,e^2\,f^4+240\,a^7\,b^8\,c^2\,e^2\,f^4-24\,a^6\,b^{10}\,c\,e^2\,f^4+a^5\,b^{12}\,e^2\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) - 192*a^8*b^13*c^2*e^12*f^8 + 4672*a^9*b^11*c^3*e^12*f^8 - 47360*a^10*b^9*c^4*e^12*f^8 + 256000*a^11*b^7*c^5*e^12*f^8 - 778240*a^12*b^5*c^6*e^12*f^8 + 1261568*a^13*b^3*c^7*e^12*f^8 - 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6)*1i + (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) + 192*a^8*b^13*c^2*e^12*f^8 - 4672*a^9*b^11*c^3*e^12*f^8 + 47360*a^10*b^9*c^4*e^12*f^8 - 256000*a^11*b^7*c^5*e^12*f^8 + 778240*a^12*b^5*c^6*e^12*f^8 - 1261568*a^13*b^3*c^7*e^12*f^8 + 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6)*1i)/((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) + 192*a^8*b^13*c^2*e^12*f^8 - 4672*a^9*b^11*c^3*e^12*f^8 + 47360*a^10*b^9*c^4*e^12*f^8 - 256000*a^11*b^7*c^5*e^12*f^8 + 778240*a^12*b^5*c^6*e^12*f^8 - 1261568*a^13*b^3*c^7*e^12*f^8 + 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6) - (-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) - 192*a^8*b^13*c^2*e^12*f^8 + 4672*a^9*b^11*c^3*e^12*f^8 - 47360*a^10*b^9*c^4*e^12*f^8 + 256000*a^11*b^7*c^5*e^12*f^8 - 778240*a^12*b^5*c^6*e^12*f^8 + 1261568*a^13*b^3*c^7*e^12*f^8 - 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6) + 128000*a^10*c^9*e^10*f^4 + 504*a^6*b^8*c^5*e^10*f^4 - 8112*a^7*b^6*c^6*e^10*f^4 + 48704*a^8*b^4*c^7*e^10*f^4 - 129280*a^9*b^2*c^8*e^10*f^4))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*2i - atan(((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) - 192*a^8*b^13*c^2*e^12*f^8 + 4672*a^9*b^11*c^3*e^12*f^8 - 47360*a^10*b^9*c^4*e^12*f^8 + 256000*a^11*b^7*c^5*e^12*f^8 - 778240*a^12*b^5*c^6*e^12*f^8 + 1261568*a^13*b^3*c^7*e^12*f^8 - 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6)*1i + (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) + 192*a^8*b^13*c^2*e^12*f^8 - 4672*a^9*b^11*c^3*e^12*f^8 + 47360*a^10*b^9*c^4*e^12*f^8 - 256000*a^11*b^7*c^5*e^12*f^8 + 778240*a^12*b^5*c^6*e^12*f^8 - 1261568*a^13*b^3*c^7*e^12*f^8 + 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6)*1i)/((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) + 192*a^8*b^13*c^2*e^12*f^8 - 4672*a^9*b^11*c^3*e^12*f^8 + 47360*a^10*b^9*c^4*e^12*f^8 - 256000*a^11*b^7*c^5*e^12*f^8 + 778240*a^12*b^5*c^6*e^12*f^8 - 1261568*a^13*b^3*c^7*e^12*f^8 + 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6) - (-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*(x*(256*a^10*b^13*c^2*e^14*f^10 - 6144*a^11*b^11*c^3*e^14*f^10 + 61440*a^12*b^9*c^4*e^14*f^10 - 327680*a^13*b^7*c^5*e^14*f^10 + 983040*a^14*b^5*c^6*e^14*f^10 - 1572864*a^15*b^3*c^7*e^14*f^10 + 1048576*a^16*b*c^8*e^14*f^10) + 1048576*a^16*b*c^8*d*e^13*f^10 + 256*a^10*b^13*c^2*d*e^13*f^10 - 6144*a^11*b^11*c^3*d*e^13*f^10 + 61440*a^12*b^9*c^4*d*e^13*f^10 - 327680*a^13*b^7*c^5*d*e^13*f^10 + 983040*a^14*b^5*c^6*d*e^13*f^10 - 1572864*a^15*b^3*c^7*d*e^13*f^10) - 192*a^8*b^13*c^2*e^12*f^8 + 4672*a^9*b^11*c^3*e^12*f^8 - 47360*a^10*b^9*c^4*e^12*f^8 + 256000*a^11*b^7*c^5*e^12*f^8 - 778240*a^12*b^5*c^6*e^12*f^8 + 1261568*a^13*b^3*c^7*e^12*f^8 - 851968*a^14*b*c^8*e^12*f^8) + x*(204800*a^12*c^9*e^12*f^6 + 144*a^6*b^12*c^3*e^12*f^6 - 3264*a^7*b^10*c^4*e^12*f^6 + 30112*a^8*b^8*c^5*e^12*f^6 - 143360*a^9*b^6*c^6*e^12*f^6 + 365568*a^10*b^4*c^7*e^12*f^6 - 458752*a^11*b^2*c^8*e^12*f^6) + 204800*a^12*c^9*d*e^11*f^6 + 144*a^6*b^12*c^3*d*e^11*f^6 - 3264*a^7*b^10*c^4*d*e^11*f^6 + 30112*a^8*b^8*c^5*d*e^11*f^6 - 143360*a^9*b^6*c^6*d*e^11*f^6 + 365568*a^10*b^4*c^7*d*e^11*f^6 - 458752*a^11*b^2*c^8*d*e^11*f^6) + 128000*a^10*c^9*e^10*f^4 + 504*a^6*b^8*c^5*e^10*f^4 - 8112*a^7*b^6*c^6*e^10*f^4 + 48704*a^8*b^4*c^7*e^10*f^4 - 129280*a^9*b^2*c^8*e^10*f^4))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12*e^2*f^4 + 4096*a^11*c^6*e^2*f^4 + 240*a^7*b^8*c^2*e^2*f^4 - 1280*a^8*b^6*c^3*e^2*f^4 + 3840*a^9*b^4*c^4*e^2*f^4 - 6144*a^10*b^2*c^5*e^2*f^4 - 24*a^6*b^10*c*e^2*f^4)))^(1/2)*2i - ((x*(3*b^3*d - 20*a*c^2*d^3 + 6*b^2*c*d^3 - 11*a*b*c*d))/(a*(a*b^2 - 4*a^2*c)) - (x^4*(10*a*c^2*e^3 - 3*b^2*c*e^3))/(2*a*(a*b^2 - 4*a^2*c)) - (2*x^3*(10*a*c^2*d*e^2 - 3*b^2*c*d*e^2))/(a*(a*b^2 - 4*a^2*c)) + (2*a*b^2 - 8*a^2*c + 3*b^3*d^2 - 10*a*c^2*d^4 + 3*b^2*c*d^4 - 11*a*b*c*d^2)/(2*a*e*(a*b^2 - 4*a^2*c)) + (x^2*(3*b^3*e - 60*a*c^2*d^2*e + 18*b^2*c*d^2*e - 11*a*b*c*e))/(2*a*(a*b^2 - 4*a^2*c)))/(x^2*(10*c*d^3*e^2*f^2 + 3*b*d*e^2*f^2) + x*(a*e*f^2 + 3*b*d^2*e*f^2 + 5*c*d^4*e*f^2) + x^3*(b*e^3*f^2 + 10*c*d^2*e^3*f^2) + b*d^3*f^2 + c*d^5*f^2 + a*d*f^2 + c*e^5*f^2*x^5 + 5*c*d*e^4*f^2*x^4)","B"
652,1,14830,228,13.520464,"\text{Not used}","int(1/((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","\frac{\frac{x\,\left(2\,b^3\,d+4\,b^2\,c\,d^3-7\,a\,b\,c\,d-12\,a\,c^2\,d^3\right)}{4\,a^3\,c-a^2\,b^2}-\frac{x^4\,\left(3\,a\,c^2\,e^3-b^2\,c\,e^3\right)}{4\,a^3\,c-a^2\,b^2}-\frac{4\,x^3\,\left(3\,a\,c^2\,d\,e^2-b^2\,c\,d\,e^2\right)}{4\,a^3\,c-a^2\,b^2}+\frac{-4\,a^2\,c+a\,b^2-7\,a\,b\,c\,d^2-6\,a\,c^2\,d^4+2\,b^3\,d^2+2\,b^2\,c\,d^4}{2\,e\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^2\,\left(2\,e\,b^3+12\,e\,b^2\,c\,d^2-7\,a\,e\,b\,c-36\,a\,e\,c^2\,d^2\right)}{2\,\left(4\,a^3\,c-a^2\,b^2\right)}}{x^3\,\left(20\,c\,d^3\,e^3\,f^3+4\,b\,d\,e^3\,f^3\right)+x\,\left(6\,c\,e\,d^5\,f^3+4\,b\,e\,d^3\,f^3+2\,a\,e\,d\,f^3\right)+x^4\,\left(15\,c\,d^2\,e^4\,f^3+b\,e^4\,f^3\right)+x^2\,\left(15\,c\,d^4\,e^2\,f^3+6\,b\,d^2\,e^2\,f^3+a\,e^2\,f^3\right)+a\,d^2\,f^3+b\,d^4\,f^3+c\,d^6\,f^3+c\,e^6\,f^3\,x^6+6\,c\,d\,e^5\,f^3\,x^5}+\frac{\ln\left(\left(\frac{\left(b+a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{\left(b+a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{4\,c^2\,e^{16}\,\left(6\,a^2\,b\,c^2-30\,a^2\,c^3\,d^2-10\,a\,b^3\,c+2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}+\frac{4\,c^3\,e^{18}\,x^2\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}-\frac{2\,b\,c^2\,e^{16}\,\left(b+a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3\,f^3}+\frac{8\,c^3\,d\,e^{17}\,x\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}\right)}{2\,a^3\,e\,f^3}-\frac{4\,c^3\,e^{15}\,\left(3\,a\,c-b^2\right)\,\left(3\,a^2\,c^2-17\,a\,b^2\,c-23\,a\,b\,c^2\,d^2+4\,b^4+6\,b^3\,c\,d^2\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,e^{17}\,x^2\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}+\frac{8\,b\,c^4\,d\,e^{16}\,x\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}\right)}{2\,a^3\,e\,f^3}-\frac{8\,c^5\,e^{16}\,x^2\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}+\frac{8\,c^4\,e^{14}\,{\left(3\,a\,c-b^2\right)}^2\,\left(b^3+b^2\,c\,d^2-4\,a\,b\,c-3\,a\,c^2\,d^2\right)}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}-\frac{16\,c^5\,d\,e^{15}\,x\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{\left(b-a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{\left(b-a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(\frac{4\,c^2\,e^{16}\,\left(6\,a^2\,b\,c^2-30\,a^2\,c^3\,d^2-10\,a\,b^3\,c+2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}+\frac{4\,c^3\,e^{18}\,x^2\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}-\frac{2\,b\,c^2\,e^{16}\,\left(b-a^3\,e\,f^3\,\sqrt{-\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^3}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3\,f^3}+\frac{8\,c^3\,d\,e^{17}\,x\,\left(-30\,a^2\,c^2+2\,a\,b^2\,c+b^4\right)}{a^2\,f^3\,\left(4\,a\,c-b^2\right)}\right)}{2\,a^3\,e\,f^3}-\frac{4\,c^3\,e^{15}\,\left(3\,a\,c-b^2\right)\,\left(3\,a^2\,c^2-17\,a\,b^2\,c-23\,a\,b\,c^2\,d^2+4\,b^4+6\,b^3\,c\,d^2\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^4\,e^{17}\,x^2\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}+\frac{8\,b\,c^4\,d\,e^{16}\,x\,\left(69\,a^2\,c^2-41\,a\,b^2\,c+6\,b^4\right)}{a^4\,f^6\,{\left(4\,a\,c-b^2\right)}^2}\right)}{2\,a^3\,e\,f^3}-\frac{8\,c^5\,e^{16}\,x^2\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}+\frac{8\,c^4\,e^{14}\,{\left(3\,a\,c-b^2\right)}^2\,\left(b^3+b^2\,c\,d^2-4\,a\,b\,c-3\,a\,c^2\,d^2\right)}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}-\frac{16\,c^5\,d\,e^{15}\,x\,{\left(3\,a\,c-b^2\right)}^3}{a^6\,f^9\,{\left(4\,a\,c-b^2\right)}^3}\right)\right)\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}-\frac{2\,b\,\ln\left(d+e\,x\right)}{a^3\,e\,f^3}-\frac{\mathrm{atan}\left(\frac{\left(2\,a^9\,b^6\,f^9\,{\left(4\,a\,c-b^2\right)}^{9/2}-128\,a^{12}\,c^3\,f^9\,{\left(4\,a\,c-b^2\right)}^{9/2}-24\,a^{10}\,b^4\,c\,f^9\,{\left(4\,a\,c-b^2\right)}^{9/2}+96\,a^{11}\,b^2\,c^2\,f^9\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(x\,\left(\frac{\left(\frac{8\,\left(54\,d\,a^3\,c^8\,e^{15}-54\,d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2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}\right)\,\left(-3\,a^3\,c^3+36\,a^2\,b^2\,c^2-21\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}-\frac{b\,\left(\frac{\left(\frac{4\,\left(36\,a^6\,c^7\,e^{15}\,f^3-225\,a^5\,b^2\,c^6\,e^{15}\,f^3-276\,a^5\,b\,c^7\,d^2\,e^{15}\,f^3+170\,a^4\,b^4\,c^5\,e^{15}\,f^3+233\,a^4\,b^3\,c^6\,d^2\,e^{15}\,f^3-45\,a^3\,b^6\,c^4\,e^{15}\,f^3-65\,a^3\,b^5\,c^5\,d^2\,e^{15}\,f^3+4\,a^2\,b^8\,c^3\,e^{15}\,f^3+6\,a^2\,b^7\,c^4\,d^2\,e^{15}\,f^3\right)}{-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9}-\frac{\left(\frac{4\,\left(96\,a^8\,b\,c^6\,e^{16}\,f^6-480\,a^8\,c^7\,d^2\,e^{16}\,f^6-208\,a^7\,b^3\,c^5\,e^{16}\,f^6+272\,a^7\,b^2\,c^6\,d^2\,e^{16}\,f^6+118\,a^6\,b^5\,c^4\,e^{16}\,f^6-30\,a^6\,b^4\,c^5\,d^2\,e^{16}\,f^6-26\,a^5\,b^7\,c^3\,e^{16}\,f^6-6\,a^5\,b^6\,c^4\,d^2\,e^{16}\,f^6+2\,a^4\,b^9\,c^2\,e^{16}\,f^6+a^4\,b^8\,c^3\,d^2\,e^{16}\,f^6\right)}{-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9}+\frac{2\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}\,f^9+640\,a^{10}\,b\,c^6\,d^2\,e^{17}\,f^9+48\,a^9\,b^4\,c^4\,e^{17}\,f^9-672\,a^9\,b^3\,c^5\,d^2\,e^{17}\,f^9-12\,a^8\,b^6\,c^3\,e^{17}\,f^9+264\,a^8\,b^5\,c^4\,d^2\,e^{17}\,f^9+a^7\,b^8\,c^2\,e^{17}\,f^9-46\,a^7\,b^7\,c^3\,d^2\,e^{17}\,f^9+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\,f^9\right)}{\left(-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9\right)\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{\left(\frac{4\,\left(96\,a^8\,b\,c^6\,e^{16}\,f^6-480\,a^8\,c^7\,d^2\,e^{16}\,f^6-208\,a^7\,b^3\,c^5\,e^{16}\,f^6+272\,a^7\,b^2\,c^6\,d^2\,e^{16}\,f^6+118\,a^6\,b^5\,c^4\,e^{16}\,f^6-30\,a^6\,b^4\,c^5\,d^2\,e^{16}\,f^6-26\,a^5\,b^7\,c^3\,e^{16}\,f^6-6\,a^5\,b^6\,c^4\,d^2\,e^{16}\,f^6+2\,a^4\,b^9\,c^2\,e^{16}\,f^6+a^4\,b^8\,c^3\,d^2\,e^{16}\,f^6\right)}{-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9}+\frac{2\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}\,f^9+640\,a^{10}\,b\,c^6\,d^2\,e^{17}\,f^9+48\,a^9\,b^4\,c^4\,e^{17}\,f^9-672\,a^9\,b^3\,c^5\,d^2\,e^{17}\,f^9-12\,a^8\,b^6\,c^3\,e^{17}\,f^9+264\,a^8\,b^5\,c^4\,d^2\,e^{17}\,f^9+a^7\,b^8\,c^2\,e^{17}\,f^9-46\,a^7\,b^7\,c^3\,d^2\,e^{17}\,f^9+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\,f^9\right)}{\left(-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9\right)\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}\,f^9+640\,a^{10}\,b\,c^6\,d^2\,e^{17}\,f^9+48\,a^9\,b^4\,c^4\,e^{17}\,f^9-672\,a^9\,b^3\,c^5\,d^2\,e^{17}\,f^9-12\,a^8\,b^6\,c^3\,e^{17}\,f^9+264\,a^8\,b^5\,c^4\,d^2\,e^{17}\,f^9+a^7\,b^8\,c^2\,e^{17}\,f^9-46\,a^7\,b^7\,c^3\,d^2\,e^{17}\,f^9+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\,f^9\right)}{a^3\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9\right)\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}\right)\,\left(-64\,e\,a^3\,b\,c^3\,f^3+48\,e\,a^2\,b^3\,c^2\,f^3-12\,e\,a\,b^5\,c\,f^3+e\,b^7\,f^3\right)}{2\,\left(-64\,a^6\,c^3\,e^2\,f^6+48\,a^5\,b^2\,c^2\,e^2\,f^6-12\,a^4\,b^4\,c\,e^2\,f^6+a^3\,b^6\,e^2\,f^6\right)}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^3\,\left(-64\,a^{10}\,b^2\,c^5\,e^{17}\,f^9+640\,a^{10}\,b\,c^6\,d^2\,e^{17}\,f^9+48\,a^9\,b^4\,c^4\,e^{17}\,f^9-672\,a^9\,b^3\,c^5\,d^2\,e^{17}\,f^9-12\,a^8\,b^6\,c^3\,e^{17}\,f^9+264\,a^8\,b^5\,c^4\,d^2\,e^{17}\,f^9+a^7\,b^8\,c^2\,e^{17}\,f^9-46\,a^7\,b^7\,c^3\,d^2\,e^{17}\,f^9+3\,a^6\,b^9\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,a^9\,e^3\,f^9\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^9\,c^3\,f^9+48\,a^8\,b^2\,c^2\,f^9-12\,a^7\,b^4\,c\,f^9+a^6\,b^6\,f^9\right)}\right)\,\left(-49\,a^3\,c^3+72\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}\right)}{36\,a^4\,c^6\,e^{14}-72\,a^3\,b^2\,c^5\,e^{14}+48\,a^2\,b^4\,c^4\,e^{14}-12\,a\,b^6\,c^3\,e^{14}+b^8\,c^2\,e^{14}}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{a^3\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((x*(2*b^3*d - 12*a*c^2*d^3 + 4*b^2*c*d^3 - 7*a*b*c*d))/(4*a^3*c - a^2*b^2) - (x^4*(3*a*c^2*e^3 - b^2*c*e^3))/(4*a^3*c - a^2*b^2) - (4*x^3*(3*a*c^2*d*e^2 - b^2*c*d*e^2))/(4*a^3*c - a^2*b^2) + (a*b^2 - 4*a^2*c + 2*b^3*d^2 - 6*a*c^2*d^4 + 2*b^2*c*d^4 - 7*a*b*c*d^2)/(2*e*(4*a^3*c - a^2*b^2)) + (x^2*(2*b^3*e - 36*a*c^2*d^2*e + 12*b^2*c*d^2*e - 7*a*b*c*e))/(2*(4*a^3*c - a^2*b^2)))/(x^3*(20*c*d^3*e^3*f^3 + 4*b*d*e^3*f^3) + x*(2*a*d*e*f^3 + 4*b*d^3*e*f^3 + 6*c*d^5*e*f^3) + x^4*(b*e^4*f^3 + 15*c*d^2*e^4*f^3) + x^2*(a*e^2*f^3 + 6*b*d^2*e^2*f^3 + 15*c*d^4*e^2*f^3) + a*d^2*f^3 + b*d^4*f^3 + c*d^6*f^3 + c*e^6*f^3*x^6 + 6*c*d*e^5*f^3*x^5) + (log((((b + a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*(((b + a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*((4*c^2*e^16*(2*b^5 + 6*a^2*b*c^2 + b^4*c*d^2 - 30*a^2*c^3*d^2 - 10*a*b^3*c + 2*a*b^2*c^2*d^2))/(a^2*f^3*(4*a*c - b^2)) + (4*c^3*e^18*x^2*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*f^3*(4*a*c - b^2)) - (2*b*c^2*e^16*(b + a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^3*f^3) + (8*c^3*d*e^17*x*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*f^3*(4*a*c - b^2))))/(2*a^3*e*f^3) - (4*c^3*e^15*(3*a*c - b^2)*(4*b^4 + 3*a^2*c^2 + 6*b^3*c*d^2 - 17*a*b^2*c - 23*a*b*c^2*d^2))/(a^4*f^6*(4*a*c - b^2)^2) + (4*b*c^4*e^17*x^2*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*f^6*(4*a*c - b^2)^2) + (8*b*c^4*d*e^16*x*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*f^6*(4*a*c - b^2)^2)))/(2*a^3*e*f^3) - (8*c^5*e^16*x^2*(3*a*c - b^2)^3)/(a^6*f^9*(4*a*c - b^2)^3) + (8*c^4*e^14*(3*a*c - b^2)^2*(b^3 - 3*a*c^2*d^2 + b^2*c*d^2 - 4*a*b*c))/(a^6*f^9*(4*a*c - b^2)^3) - (16*c^5*d*e^15*x*(3*a*c - b^2)^3)/(a^6*f^9*(4*a*c - b^2)^3))*(((b - a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*(((b - a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*((4*c^2*e^16*(2*b^5 + 6*a^2*b*c^2 + b^4*c*d^2 - 30*a^2*c^3*d^2 - 10*a*b^3*c + 2*a*b^2*c^2*d^2))/(a^2*f^3*(4*a*c - b^2)) + (4*c^3*e^18*x^2*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*f^3*(4*a*c - b^2)) - (2*b*c^2*e^16*(b - a^3*e*f^3*(-(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2/(a^6*e^2*f^6*(4*a*c - b^2)^3))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^3*f^3) + (8*c^3*d*e^17*x*(b^4 - 30*a^2*c^2 + 2*a*b^2*c))/(a^2*f^3*(4*a*c - b^2))))/(2*a^3*e*f^3) - (4*c^3*e^15*(3*a*c - b^2)*(4*b^4 + 3*a^2*c^2 + 6*b^3*c*d^2 - 17*a*b^2*c - 23*a*b*c^2*d^2))/(a^4*f^6*(4*a*c - b^2)^2) + (4*b*c^4*e^17*x^2*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*f^6*(4*a*c - b^2)^2) + (8*b*c^4*d*e^16*x*(6*b^4 + 69*a^2*c^2 - 41*a*b^2*c))/(a^4*f^6*(4*a*c - b^2)^2)))/(2*a^3*e*f^3) - (8*c^5*e^16*x^2*(3*a*c - b^2)^3)/(a^6*f^9*(4*a*c - b^2)^3) + (8*c^4*e^14*(3*a*c - b^2)^2*(b^3 - 3*a*c^2*d^2 + b^2*c*d^2 - 4*a*b*c))/(a^6*f^9*(4*a*c - b^2)^3) - (16*c^5*d*e^15*x*(3*a*c - b^2)^3)/(a^6*f^9*(4*a*c - b^2)^3)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) - (2*b*log(d + e*x))/(a^3*e*f^3) - (atan(((2*a^9*b^6*f^9*(4*a*c - b^2)^(9/2) - 128*a^12*c^3*f^9*(4*a*c - b^2)^(9/2) - 24*a^10*b^4*c*f^9*(4*a*c - b^2)^(9/2) + 96*a^11*b^2*c^2*f^9*(4*a*c - b^2)^(9/2))*(x*((((8*(54*a^3*c^8*d*e^15 - 2*b^6*c^5*d*e^15 + 18*a*b^4*c^6*d*e^15 - 54*a^2*b^2*c^7*d*e^15))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (((8*(276*a^5*b*c^7*d*e^16*f^3 - 6*a^2*b^7*c^4*d*e^16*f^3 + 65*a^3*b^5*c^5*d*e^16*f^3 - 233*a^4*b^3*c^6*d*e^16*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (((8*(480*a^8*c^7*d*e^17*f^6 - a^4*b^8*c^3*d*e^17*f^6 + 6*a^5*b^6*c^4*d*e^17*f^6 + 30*a^6*b^4*c^5*d*e^17*f^6 - 272*a^7*b^2*c^6*d*e^17*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (4*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) - (((((8*(480*a^8*c^7*d*e^17*f^6 - a^4*b^8*c^3*d*e^17*f^6 + 6*a^5*b^6*c^4*d*e^17*f^6 + 30*a^6*b^4*c^5*d*e^17*f^6 - 272*a^7*b^2*c^6*d*e^17*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (4*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) - (2*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/(a^6*e^2*f^6*(4*a*c - b^2)^3*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((((8*(480*a^8*c^7*d*e^17*f^6 - a^4*b^8*c^3*d*e^17*f^6 + 6*a^5*b^6*c^4*d*e^17*f^6 + 30*a^6*b^4*c^5*d*e^17*f^6 - 272*a^7*b^2*c^6*d*e^17*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (4*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) - (2*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) - (((8*(276*a^5*b*c^7*d*e^16*f^3 - 6*a^2*b^7*c^4*d*e^16*f^3 + 65*a^3*b^5*c^5*d*e^16*f^3 - 233*a^4*b^3*c^6*d*e^16*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (((8*(480*a^8*c^7*d*e^17*f^6 - a^4*b^8*c^3*d*e^17*f^6 + 6*a^5*b^6*c^4*d*e^17*f^6 + 30*a^6*b^4*c^5*d*e^17*f^6 - 272*a^7*b^2*c^6*d*e^17*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (4*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(640*a^10*b*c^6*d*e^18*f^9 + 3*a^6*b^9*c^2*d*e^18*f^9 - 46*a^7*b^7*c^3*d*e^18*f^9 + 264*a^8*b^5*c^4*d*e^18*f^9 - 672*a^9*b^3*c^5*d*e^18*f^9))/(a^9*e^3*f^9*(4*a*c - b^2)^(9/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))) + x^2*((((4*(54*a^3*c^8*e^16 - 2*b^6*c^5*e^16 + 18*a*b^4*c^6*e^16 - 54*a^2*b^2*c^7*e^16))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (((4*(6*a^2*b^7*c^4*e^17*f^3 - 65*a^3*b^5*c^5*e^17*f^3 + 233*a^4*b^3*c^6*e^17*f^3 - 276*a^5*b*c^7*e^17*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (((4*(480*a^8*c^7*e^18*f^6 - a^4*b^8*c^3*e^18*f^6 + 6*a^5*b^6*c^4*e^18*f^6 + 30*a^6*b^4*c^5*e^18*f^6 - 272*a^7*b^2*c^6*e^18*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) - (((((4*(480*a^8*c^7*e^18*f^6 - a^4*b^8*c^3*e^18*f^6 + 6*a^5*b^6*c^4*e^18*f^6 + 30*a^6*b^4*c^5*e^18*f^6 - 272*a^7*b^2*c^6*e^18*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/(2*a^6*e^2*f^6*(4*a*c - b^2)^3*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((((4*(480*a^8*c^7*e^18*f^6 - a^4*b^8*c^3*e^18*f^6 + 6*a^5*b^6*c^4*e^18*f^6 + 30*a^6*b^4*c^5*e^18*f^6 - 272*a^7*b^2*c^6*e^18*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) + (((4*(6*a^2*b^7*c^4*e^17*f^3 - 65*a^3*b^5*c^5*e^17*f^3 + 233*a^4*b^3*c^6*e^17*f^3 - 276*a^5*b*c^7*e^17*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (((4*(480*a^8*c^7*e^18*f^6 - a^4*b^8*c^3*e^18*f^6 + 6*a^5*b^6*c^4*e^18*f^6 + 30*a^6*b^4*c^5*e^18*f^6 - 272*a^7*b^2*c^6*e^18*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(3*a^6*b^9*c^2*e^19*f^9 - 46*a^7*b^7*c^3*e^19*f^9 + 264*a^8*b^5*c^4*e^19*f^9 - 672*a^9*b^3*c^5*e^19*f^9 + 640*a^10*b*c^6*e^19*f^9))/(2*a^9*e^3*f^9*(4*a*c - b^2)^(9/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))) + (((((4*(36*a^6*c^7*e^15*f^3 + 4*a^2*b^8*c^3*e^15*f^3 - 45*a^3*b^6*c^4*e^15*f^3 + 170*a^4*b^4*c^5*e^15*f^3 - 225*a^5*b^2*c^6*e^15*f^3 - 276*a^5*b*c^7*d^2*e^15*f^3 + 6*a^2*b^7*c^4*d^2*e^15*f^3 - 65*a^3*b^5*c^5*d^2*e^15*f^3 + 233*a^4*b^3*c^6*d^2*e^15*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (((4*(2*a^4*b^9*c^2*e^16*f^6 - 26*a^5*b^7*c^3*e^16*f^6 + 118*a^6*b^5*c^4*e^16*f^6 - 208*a^7*b^3*c^5*e^16*f^6 - 480*a^8*c^7*d^2*e^16*f^6 + 96*a^8*b*c^6*e^16*f^6 + a^4*b^8*c^3*d^2*e^16*f^6 - 6*a^5*b^6*c^4*d^2*e^16*f^6 - 30*a^6*b^4*c^5*d^2*e^16*f^6 + 272*a^7*b^2*c^6*d^2*e^16*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) - (4*(2*b^7*c^4*e^14 - 20*a*b^5*c^5*e^14 - 72*a^3*b*c^7*e^14 + 66*a^2*b^3*c^6*e^14 - 54*a^3*c^8*d^2*e^14 + 2*b^6*c^5*d^2*e^14 + 54*a^2*b^2*c^7*d^2*e^14 - 18*a*b^4*c^6*d^2*e^14))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (((((4*(2*a^4*b^9*c^2*e^16*f^6 - 26*a^5*b^7*c^3*e^16*f^6 + 118*a^6*b^5*c^4*e^16*f^6 - 208*a^7*b^3*c^5*e^16*f^6 - 480*a^8*c^7*d^2*e^16*f^6 + 96*a^8*b*c^6*e^16*f^6 + a^4*b^8*c^3*d^2*e^16*f^6 - 6*a^5*b^6*c^4*d^2*e^16*f^6 - 30*a^6*b^4*c^5*d^2*e^16*f^6 + 272*a^7*b^2*c^6*d^2*e^16*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/(2*a^6*e^2*f^6*(4*a*c - b^2)^3*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((4*(36*a^6*c^7*e^15*f^3 + 4*a^2*b^8*c^3*e^15*f^3 - 45*a^3*b^6*c^4*e^15*f^3 + 170*a^4*b^4*c^5*e^15*f^3 - 225*a^5*b^2*c^6*e^15*f^3 - 276*a^5*b*c^7*d^2*e^15*f^3 + 6*a^2*b^7*c^4*d^2*e^15*f^3 - 65*a^3*b^5*c^5*d^2*e^15*f^3 + 233*a^4*b^3*c^6*d^2*e^15*f^3))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) - (((4*(2*a^4*b^9*c^2*e^16*f^6 - 26*a^5*b^7*c^3*e^16*f^6 + 118*a^6*b^5*c^4*e^16*f^6 - 208*a^7*b^3*c^5*e^16*f^6 - 480*a^8*c^7*d^2*e^16*f^6 + 96*a^8*b*c^6*e^16*f^6 + a^4*b^8*c^3*d^2*e^16*f^6 - 6*a^5*b^6*c^4*d^2*e^16*f^6 - 30*a^6*b^4*c^5*d^2*e^16*f^6 + 272*a^7*b^2*c^6*d^2*e^16*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) - (((((4*(2*a^4*b^9*c^2*e^16*f^6 - 26*a^5*b^7*c^3*e^16*f^6 + 118*a^6*b^5*c^4*e^16*f^6 - 208*a^7*b^3*c^5*e^16*f^6 - 480*a^8*c^7*d^2*e^16*f^6 + 96*a^8*b*c^6*e^16*f^6 + a^4*b^8*c^3*d^2*e^16*f^6 - 6*a^5*b^6*c^4*d^2*e^16*f^6 - 30*a^6*b^4*c^5*d^2*e^16*f^6 + 272*a^7*b^2*c^6*d^2*e^16*f^6))/(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9) + (2*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/((a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*e*f^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3)*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/(a^3*e*f^3*(4*a*c - b^2)^(3/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)))*(b^7*e*f^3 - 12*a*b^5*c*e*f^3 - 64*a^3*b*c^3*e*f^3 + 48*a^2*b^3*c^2*e*f^3))/(2*(a^3*b^6*e^2*f^6 - 64*a^6*c^3*e^2*f^6 + 48*a^5*b^2*c^2*e^2*f^6 - 12*a^4*b^4*c*e^2*f^6)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(a^7*b^8*c^2*e^17*f^9 - 12*a^8*b^6*c^3*e^17*f^9 + 48*a^9*b^4*c^4*e^17*f^9 - 64*a^10*b^2*c^5*e^17*f^9 + 640*a^10*b*c^6*d^2*e^17*f^9 + 3*a^6*b^9*c^2*d^2*e^17*f^9 - 46*a^7*b^7*c^3*d^2*e^17*f^9 + 264*a^8*b^5*c^4*d^2*e^17*f^9 - 672*a^9*b^3*c^5*d^2*e^17*f^9))/(2*a^9*e^3*f^9*(4*a*c - b^2)^(9/2)*(a^6*b^6*f^9 - 64*a^9*c^3*f^9 - 12*a^7*b^4*c*f^9 + 48*a^8*b^2*c^2*f^9)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c))))/(36*a^4*c^6*e^14 + b^8*c^2*e^14 - 12*a*b^6*c^3*e^14 + 48*a^2*b^4*c^4*e^14 - 72*a^3*b^2*c^5*e^14))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(a^3*e*f^3*(4*a*c - b^2)^(3/2))","B"
653,1,13781,423,10.446724,"\text{Not used}","int(1/((d*f + e*f*x)^4*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^2),x)","-\frac{\frac{x^4\,\left(14\,a^2\,c^2\,e^3-62\,a\,b^2\,c\,e^3-855\,a\,b\,c^2\,d^2\,e^3+15\,b^4\,e^3+225\,b^3\,c\,d^2\,e^3\right)}{6\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{3\,x^5\,\left(5\,b^3\,c\,d\,e^4-19\,a\,b\,c^2\,d\,e^4\right)}{a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{2\,x^3\,\left(14\,a^2\,c^2\,d\,e^2-62\,a\,b^2\,c\,d\,e^2-285\,a\,b\,c^2\,d^3\,e^2+15\,b^4\,d\,e^2+75\,b^3\,c\,d^3\,e^2\right)}{3\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x\,\left(-40\,a^2\,b\,c\,d+28\,a^2\,c^2\,d^3+10\,a\,b^3\,d-124\,a\,b^2\,c\,d^3-171\,a\,b\,c^2\,d^5+30\,b^4\,d^3+45\,b^3\,c\,d^5\right)}{3\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^6\,\left(5\,b^3\,c\,e^5-19\,a\,b\,c^2\,e^5\right)}{2\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{x^2\,\left(-40\,e\,a^2\,b\,c+84\,e\,a^2\,c^2\,d^2+10\,e\,a\,b^3-372\,e\,a\,b^2\,c\,d^2-855\,e\,a\,b\,c^2\,d^4+90\,e\,b^4\,d^2+225\,e\,b^3\,c\,d^4\right)}{6\,a\,\left(4\,a^3\,c-a^2\,b^2\right)}+\frac{8\,a^3\,c-2\,a^2\,b^2-40\,a^2\,b\,c\,d^2+14\,a^2\,c^2\,d^4+10\,a\,b^3\,d^2-62\,a\,b^2\,c\,d^4-57\,a\,b\,c^2\,d^6+15\,b^4\,d^4+15\,b^3\,c\,d^6}{6\,a\,e\,\left(4\,a^3\,c-a^2\,b^2\right)}}{x\,\left(7\,c\,e\,d^6\,f^4+5\,b\,e\,d^4\,f^4+3\,a\,e\,d^2\,f^4\right)+x^4\,\left(35\,c\,d^3\,e^4\,f^4+5\,b\,d\,e^4\,f^4\right)+x^2\,\left(21\,c\,d^5\,e^2\,f^4+10\,b\,d^3\,e^2\,f^4+3\,a\,d\,e^2\,f^4\right)+x^5\,\left(21\,c\,d^2\,e^5\,f^4+b\,e^5\,f^4\right)+x^3\,\left(35\,c\,d^4\,e^3\,f^4+10\,b\,d^2\,e^3\,f^4+a\,e^3\,f^4\right)+a\,d^3\,f^4+b\,d^5\,f^4+c\,d^7\,f^4+c\,e^7\,f^4\,x^7+7\,c\,d\,e^6\,f^4\,x^6}+\mathrm{atan}\left(\frac{\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)-917504\,a^{19}\,c^9\,e^{12}\,f^{16}+320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}-468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}+1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}-2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}+\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)+917504\,a^{19}\,c^9\,e^{12}\,f^{16}-320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}+468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}-1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}+2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)-917504\,a^{19}\,c^9\,e^{12}\,f^{16}+320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}-468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}+1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}-2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)-\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)+917504\,a^{19}\,c^9\,e^{12}\,f^{16}-320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}+468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}-1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}+2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)+1800\,a^9\,b^9\,c^6\,e^{10}\,f^8-29080\,a^{10}\,b^7\,c^7\,e^{10}\,f^8+176032\,a^{11}\,b^5\,c^8\,e^{10}\,f^8-473216\,a^{12}\,b^3\,c^9\,e^{10}\,f^8+476672\,a^{13}\,b\,c^{10}\,e^{10}\,f^8}\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)-917504\,a^{19}\,c^9\,e^{12}\,f^{16}+320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}-468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}+1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}-2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}+\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)+917504\,a^{19}\,c^9\,e^{12}\,f^{16}-320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}+468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}-1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}+2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)-917504\,a^{19}\,c^9\,e^{12}\,f^{16}+320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}-7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}+82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}-468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}+1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}-2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}+2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)-\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,\left(x\,\left(1048576\,a^{21}\,b\,c^8\,e^{14}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,e^{14}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,e^{14}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,e^{14}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,e^{14}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,e^{14}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,e^{14}\,f^{20}\right)+1048576\,a^{21}\,b\,c^8\,d\,e^{13}\,f^{20}+256\,a^{15}\,b^{13}\,c^2\,d\,e^{13}\,f^{20}-6144\,a^{16}\,b^{11}\,c^3\,d\,e^{13}\,f^{20}+61440\,a^{17}\,b^9\,c^4\,d\,e^{13}\,f^{20}-327680\,a^{18}\,b^7\,c^5\,d\,e^{13}\,f^{20}+983040\,a^{19}\,b^5\,c^6\,d\,e^{13}\,f^{20}-1572864\,a^{20}\,b^3\,c^7\,d\,e^{13}\,f^{20}\right)+917504\,a^{19}\,c^9\,e^{12}\,f^{16}-320\,a^{12}\,b^{14}\,c^2\,e^{12}\,f^{16}+7936\,a^{13}\,b^{12}\,c^3\,e^{12}\,f^{16}-82816\,a^{14}\,b^{10}\,c^4\,e^{12}\,f^{16}+468480\,a^{15}\,b^8\,c^5\,e^{12}\,f^{16}-1536000\,a^{16}\,b^6\,c^6\,e^{12}\,f^{16}+2867200\,a^{17}\,b^4\,c^7\,e^{12}\,f^{16}-2719744\,a^{18}\,b^2\,c^8\,e^{12}\,f^{16}\right)-x\,\left(401408\,a^{16}\,c^{10}\,e^{12}\,f^{12}-1871872\,a^{15}\,b^2\,c^9\,e^{12}\,f^{12}+2401280\,a^{14}\,b^4\,c^8\,e^{12}\,f^{12}-1458688\,a^{13}\,b^6\,c^7\,e^{12}\,f^{12}+488096\,a^{12}\,b^8\,c^6\,e^{12}\,f^{12}-92816\,a^{11}\,b^{10}\,c^5\,e^{12}\,f^{12}+9440\,a^{10}\,b^{12}\,c^4\,e^{12}\,f^{12}-400\,a^9\,b^{14}\,c^3\,e^{12}\,f^{12}\right)-401408\,a^{16}\,c^{10}\,d\,e^{11}\,f^{12}+400\,a^9\,b^{14}\,c^3\,d\,e^{11}\,f^{12}-9440\,a^{10}\,b^{12}\,c^4\,d\,e^{11}\,f^{12}+92816\,a^{11}\,b^{10}\,c^5\,d\,e^{11}\,f^{12}-488096\,a^{12}\,b^8\,c^6\,d\,e^{11}\,f^{12}+1458688\,a^{13}\,b^6\,c^7\,d\,e^{11}\,f^{12}-2401280\,a^{14}\,b^4\,c^8\,d\,e^{11}\,f^{12}+1871872\,a^{15}\,b^2\,c^9\,d\,e^{11}\,f^{12}\right)+1800\,a^9\,b^9\,c^6\,e^{10}\,f^8-29080\,a^{10}\,b^7\,c^7\,e^{10}\,f^8+176032\,a^{11}\,b^5\,c^8\,e^{10}\,f^8-473216\,a^{12}\,b^3\,c^9\,e^{10}\,f^8+476672\,a^{13}\,b\,c^{10}\,e^{10}\,f^8}\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6\,e^2\,f^8-6144\,a^{12}\,b^2\,c^5\,e^2\,f^8+3840\,a^{11}\,b^4\,c^4\,e^2\,f^8-1280\,a^{10}\,b^6\,c^3\,e^2\,f^8+240\,a^9\,b^8\,c^2\,e^2\,f^8-24\,a^8\,b^{10}\,c\,e^2\,f^8+a^7\,b^{12}\,e^2\,f^8\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) - 917504*a^19*c^9*e^12*f^16 + 320*a^12*b^14*c^2*e^12*f^16 - 7936*a^13*b^12*c^3*e^12*f^16 + 82816*a^14*b^10*c^4*e^12*f^16 - 468480*a^15*b^8*c^5*e^12*f^16 + 1536000*a^16*b^6*c^6*e^12*f^16 - 2867200*a^17*b^4*c^7*e^12*f^16 + 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12)*1i + (-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) + 917504*a^19*c^9*e^12*f^16 - 320*a^12*b^14*c^2*e^12*f^16 + 7936*a^13*b^12*c^3*e^12*f^16 - 82816*a^14*b^10*c^4*e^12*f^16 + 468480*a^15*b^8*c^5*e^12*f^16 - 1536000*a^16*b^6*c^6*e^12*f^16 + 2867200*a^17*b^4*c^7*e^12*f^16 - 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12)*1i)/((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) - 917504*a^19*c^9*e^12*f^16 + 320*a^12*b^14*c^2*e^12*f^16 - 7936*a^13*b^12*c^3*e^12*f^16 + 82816*a^14*b^10*c^4*e^12*f^16 - 468480*a^15*b^8*c^5*e^12*f^16 + 1536000*a^16*b^6*c^6*e^12*f^16 - 2867200*a^17*b^4*c^7*e^12*f^16 + 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12) - (-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) + 917504*a^19*c^9*e^12*f^16 - 320*a^12*b^14*c^2*e^12*f^16 + 7936*a^13*b^12*c^3*e^12*f^16 - 82816*a^14*b^10*c^4*e^12*f^16 + 468480*a^15*b^8*c^5*e^12*f^16 - 1536000*a^16*b^6*c^6*e^12*f^16 + 2867200*a^17*b^4*c^7*e^12*f^16 - 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12) + 1800*a^9*b^9*c^6*e^10*f^8 - 29080*a^10*b^7*c^7*e^10*f^8 + 176032*a^11*b^5*c^8*e^10*f^8 - 473216*a^12*b^3*c^9*e^10*f^8 + 476672*a^13*b*c^10*e^10*f^8))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*2i - ((x^4*(15*b^4*e^3 + 14*a^2*c^2*e^3 + 225*b^3*c*d^2*e^3 - 62*a*b^2*c*e^3 - 855*a*b*c^2*d^2*e^3))/(6*a*(4*a^3*c - a^2*b^2)) + (3*x^5*(5*b^3*c*d*e^4 - 19*a*b*c^2*d*e^4))/(a*(4*a^3*c - a^2*b^2)) + (2*x^3*(15*b^4*d*e^2 + 14*a^2*c^2*d*e^2 + 75*b^3*c*d^3*e^2 - 62*a*b^2*c*d*e^2 - 285*a*b*c^2*d^3*e^2))/(3*a*(4*a^3*c - a^2*b^2)) + (x*(30*b^4*d^3 + 45*b^3*c*d^5 + 28*a^2*c^2*d^3 + 10*a*b^3*d - 40*a^2*b*c*d - 124*a*b^2*c*d^3 - 171*a*b*c^2*d^5))/(3*a*(4*a^3*c - a^2*b^2)) + (x^6*(5*b^3*c*e^5 - 19*a*b*c^2*e^5))/(2*a*(4*a^3*c - a^2*b^2)) + (x^2*(90*b^4*d^2*e + 10*a*b^3*e + 84*a^2*c^2*d^2*e - 40*a^2*b*c*e + 225*b^3*c*d^4*e - 372*a*b^2*c*d^2*e - 855*a*b*c^2*d^4*e))/(6*a*(4*a^3*c - a^2*b^2)) + (8*a^3*c - 2*a^2*b^2 + 15*b^4*d^4 + 10*a*b^3*d^2 + 15*b^3*c*d^6 + 14*a^2*c^2*d^4 - 40*a^2*b*c*d^2 - 62*a*b^2*c*d^4 - 57*a*b*c^2*d^6)/(6*a*e*(4*a^3*c - a^2*b^2)))/(x*(3*a*d^2*e*f^4 + 5*b*d^4*e*f^4 + 7*c*d^6*e*f^4) + x^4*(35*c*d^3*e^4*f^4 + 5*b*d*e^4*f^4) + x^2*(10*b*d^3*e^2*f^4 + 21*c*d^5*e^2*f^4 + 3*a*d*e^2*f^4) + x^5*(b*e^5*f^4 + 21*c*d^2*e^5*f^4) + x^3*(a*e^3*f^4 + 10*b*d^2*e^3*f^4 + 35*c*d^4*e^3*f^4) + a*d^3*f^4 + b*d^5*f^4 + c*d^7*f^4 + c*e^7*f^4*x^7 + 7*c*d*e^6*f^4*x^6) + atan(((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) - 917504*a^19*c^9*e^12*f^16 + 320*a^12*b^14*c^2*e^12*f^16 - 7936*a^13*b^12*c^3*e^12*f^16 + 82816*a^14*b^10*c^4*e^12*f^16 - 468480*a^15*b^8*c^5*e^12*f^16 + 1536000*a^16*b^6*c^6*e^12*f^16 - 2867200*a^17*b^4*c^7*e^12*f^16 + 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12)*1i + (-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) + 917504*a^19*c^9*e^12*f^16 - 320*a^12*b^14*c^2*e^12*f^16 + 7936*a^13*b^12*c^3*e^12*f^16 - 82816*a^14*b^10*c^4*e^12*f^16 + 468480*a^15*b^8*c^5*e^12*f^16 - 1536000*a^16*b^6*c^6*e^12*f^16 + 2867200*a^17*b^4*c^7*e^12*f^16 - 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12)*1i)/((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) - 917504*a^19*c^9*e^12*f^16 + 320*a^12*b^14*c^2*e^12*f^16 - 7936*a^13*b^12*c^3*e^12*f^16 + 82816*a^14*b^10*c^4*e^12*f^16 - 468480*a^15*b^8*c^5*e^12*f^16 + 1536000*a^16*b^6*c^6*e^12*f^16 - 2867200*a^17*b^4*c^7*e^12*f^16 + 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12) - (-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*(x*(256*a^15*b^13*c^2*e^14*f^20 - 6144*a^16*b^11*c^3*e^14*f^20 + 61440*a^17*b^9*c^4*e^14*f^20 - 327680*a^18*b^7*c^5*e^14*f^20 + 983040*a^19*b^5*c^6*e^14*f^20 - 1572864*a^20*b^3*c^7*e^14*f^20 + 1048576*a^21*b*c^8*e^14*f^20) + 1048576*a^21*b*c^8*d*e^13*f^20 + 256*a^15*b^13*c^2*d*e^13*f^20 - 6144*a^16*b^11*c^3*d*e^13*f^20 + 61440*a^17*b^9*c^4*d*e^13*f^20 - 327680*a^18*b^7*c^5*d*e^13*f^20 + 983040*a^19*b^5*c^6*d*e^13*f^20 - 1572864*a^20*b^3*c^7*d*e^13*f^20) + 917504*a^19*c^9*e^12*f^16 - 320*a^12*b^14*c^2*e^12*f^16 + 7936*a^13*b^12*c^3*e^12*f^16 - 82816*a^14*b^10*c^4*e^12*f^16 + 468480*a^15*b^8*c^5*e^12*f^16 - 1536000*a^16*b^6*c^6*e^12*f^16 + 2867200*a^17*b^4*c^7*e^12*f^16 - 2719744*a^18*b^2*c^8*e^12*f^16) - x*(401408*a^16*c^10*e^12*f^12 - 400*a^9*b^14*c^3*e^12*f^12 + 9440*a^10*b^12*c^4*e^12*f^12 - 92816*a^11*b^10*c^5*e^12*f^12 + 488096*a^12*b^8*c^6*e^12*f^12 - 1458688*a^13*b^6*c^7*e^12*f^12 + 2401280*a^14*b^4*c^8*e^12*f^12 - 1871872*a^15*b^2*c^9*e^12*f^12) - 401408*a^16*c^10*d*e^11*f^12 + 400*a^9*b^14*c^3*d*e^11*f^12 - 9440*a^10*b^12*c^4*d*e^11*f^12 + 92816*a^11*b^10*c^5*d*e^11*f^12 - 488096*a^12*b^8*c^6*d*e^11*f^12 + 1458688*a^13*b^6*c^7*d*e^11*f^12 - 2401280*a^14*b^4*c^8*d*e^11*f^12 + 1871872*a^15*b^2*c^9*d*e^11*f^12) + 1800*a^9*b^9*c^6*e^10*f^8 - 29080*a^10*b^7*c^7*e^10*f^8 + 176032*a^11*b^5*c^8*e^10*f^8 - 473216*a^12*b^3*c^9*e^10*f^8 + 476672*a^13*b*c^10*e^10*f^8))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12*e^2*f^8 + 4096*a^13*c^6*e^2*f^8 + 240*a^9*b^8*c^2*e^2*f^8 - 1280*a^10*b^6*c^3*e^2*f^8 + 3840*a^11*b^4*c^4*e^2*f^8 - 6144*a^12*b^2*c^5*e^2*f^8 - 24*a^8*b^10*c*e^2*f^8)))^(1/2)*2i","B"
654,1,13840,353,7.519508,"\text{Not used}","int((d*f + e*f*x)^4/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","-\frac{\frac{x^3\,\left(5\,b^3\,e^2\,f^4+190\,b^2\,c\,d^2\,e^2\,f^4+420\,b\,c^2\,d^4\,e^2\,f^4+16\,a\,b\,c\,e^2\,f^4-40\,a\,c^2\,d^2\,e^2\,f^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{5\,x^4\,\left(19\,b^2\,c\,d\,e^3\,f^4+84\,b\,c^2\,d^3\,e^3\,f^4-4\,a\,c^2\,d\,e^3\,f^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^5\,\left(19\,b^2\,c\,e^4\,f^4+252\,b\,c^2\,d^2\,e^4\,f^4-4\,a\,c^2\,e^4\,f^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(12\,a^2\,c\,f^4+3\,a\,b^2\,f^4+48\,a\,b\,c\,d^2\,f^4-20\,a\,c^2\,d^4\,f^4+15\,b^3\,d^2\,f^4+95\,b^2\,c\,d^4\,f^4+84\,b\,c^2\,d^6\,f^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(15\,e\,b^3\,d\,f^4+190\,e\,b^2\,c\,d^3\,f^4+252\,e\,b\,c^2\,d^5\,f^4+48\,a\,e\,b\,c\,d\,f^4-40\,a\,e\,c^2\,d^3\,f^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{12\,a^2\,c\,d\,f^4+3\,a\,b^2\,d\,f^4+16\,a\,b\,c\,d^3\,f^4-4\,a\,c^2\,d^5\,f^4+5\,b^3\,d^3\,f^4+19\,b^2\,c\,d^5\,f^4+12\,b\,c^2\,d^7\,f^4}{8\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,b\,c^2\,e^6\,f^4\,x^7}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{21\,b\,c^2\,d\,e^5\,f^4\,x^6}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}-\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,1{}\mathrm{i}+\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}-\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)-\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)+\frac{432\,a^2\,b\,c^5\,e^{10}\,f^{12}+1080\,a\,b^3\,c^4\,e^{10}\,f^{12}+135\,b^5\,c^3\,e^{10}\,f^{12}}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}}\right)\,\sqrt{-\frac{9\,\left(b^{15}\,f^8+f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-81920\,a^7\,b\,c^7\,f^8-560\,a^2\,b^{11}\,c^2\,f^8+4160\,a^3\,b^9\,c^3\,f^8-11520\,a^4\,b^7\,c^4\,f^8-1024\,a^5\,b^5\,c^5\,f^8+61440\,a^6\,b^3\,c^6\,f^8+20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}-\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,1{}\mathrm{i}+\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,1{}\mathrm{i}}{\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}-\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)-\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,\left(\left(\left(\frac{-16777216\,d\,a^7\,b\,c^9\,e^{13}+29360128\,d\,a^6\,b^3\,c^8\,e^{13}-22020096\,d\,a^5\,b^5\,c^7\,e^{13}+9175040\,d\,a^4\,b^7\,c^6\,e^{13}-2293760\,d\,a^3\,b^9\,c^5\,e^{13}+344064\,d\,a^2\,b^{11}\,c^4\,e^{13}-28672\,d\,a\,b^{13}\,c^3\,e^{13}+1024\,d\,b^{15}\,c^2\,e^{13}}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(-131072\,a^5\,b\,c^7\,e^{14}+163840\,a^4\,b^3\,c^6\,e^{14}-81920\,a^3\,b^5\,c^5\,e^{14}+20480\,a^2\,b^7\,c^4\,e^{14}-2560\,a\,b^9\,c^3\,e^{14}+128\,b^{11}\,c^2\,e^{14}\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{786432\,a^6\,c^8\,e^{12}\,f^4-786432\,a^5\,b^2\,c^7\,e^{12}\,f^4+245760\,a^4\,b^4\,c^6\,e^{12}\,f^4-15360\,a^2\,b^8\,c^4\,e^{12}\,f^4+3072\,a\,b^{10}\,c^3\,e^{12}\,f^4-192\,b^{12}\,c^2\,e^{12}\,f^4}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}+\frac{18432\,d\,a^4\,c^7\,e^{11}\,f^8+11520\,d\,a^2\,b^4\,c^5\,e^{11}\,f^8-6912\,d\,a\,b^6\,c^4\,e^{11}\,f^8+936\,d\,b^8\,c^3\,e^{11}\,f^8}{128\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{x\,\left(144\,a^2\,c^5\,e^{12}\,f^8+72\,a\,b^2\,c^4\,e^{12}\,f^8+117\,b^4\,c^3\,e^{12}\,f^8\right)}{16\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)+\frac{432\,a^2\,b\,c^5\,e^{10}\,f^{12}+1080\,a\,b^3\,c^4\,e^{10}\,f^{12}+135\,b^5\,c^3\,e^{10}\,f^{12}}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}}\right)\,\sqrt{\frac{9\,\left(f^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-b^{15}\,f^8+81920\,a^7\,b\,c^7\,f^8+560\,a^2\,b^{11}\,c^2\,f^8-4160\,a^3\,b^9\,c^3\,f^8+11520\,a^4\,b^7\,c^4\,f^8+1024\,a^5\,b^5\,c^5\,f^8-61440\,a^6\,b^3\,c^6\,f^8-20\,a\,b^{13}\,c\,f^8\right)}{512\,\left(1048576\,a^{11}\,c^{10}\,e^2-2621440\,a^{10}\,b^2\,c^9\,e^2+2949120\,a^9\,b^4\,c^8\,e^2-1966080\,a^8\,b^6\,c^7\,e^2+860160\,a^7\,b^8\,c^6\,e^2-258048\,a^6\,b^{10}\,c^5\,e^2+53760\,a^5\,b^{12}\,c^4\,e^2-7680\,a^4\,b^{14}\,c^3\,e^2+720\,a^3\,b^{16}\,c^2\,e^2-40\,a^2\,b^{18}\,c\,e^2+a\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) - (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*1i + (-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*1i)/((-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) - (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c))) - (-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c))) + (135*b^5*c^3*e^10*f^12 + 1080*a*b^3*c^4*e^10*f^12 + 432*a^2*b*c^5*e^10*f^12)/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c))))*(-(9*(b^15*f^8 + f^8*(-(4*a*c - b^2)^15)^(1/2) - 81920*a^7*b*c^7*f^8 - 560*a^2*b^11*c^2*f^8 + 4160*a^3*b^9*c^3*f^8 - 11520*a^4*b^7*c^4*f^8 - 1024*a^5*b^5*c^5*f^8 + 61440*a^6*b^3*c^6*f^8 + 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*2i - ((x^3*(5*b^3*e^2*f^4 + 16*a*b*c*e^2*f^4 - 40*a*c^2*d^2*e^2*f^4 + 190*b^2*c*d^2*e^2*f^4 + 420*b*c^2*d^4*e^2*f^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*x^4*(19*b^2*c*d*e^3*f^4 - 4*a*c^2*d*e^3*f^4 + 84*b*c^2*d^3*e^3*f^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^5*(19*b^2*c*e^4*f^4 - 4*a*c^2*e^4*f^4 + 252*b*c^2*d^2*e^4*f^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(3*a*b^2*f^4 + 12*a^2*c*f^4 + 15*b^3*d^2*f^4 - 20*a*c^2*d^4*f^4 + 95*b^2*c*d^4*f^4 + 84*b*c^2*d^6*f^4 + 48*a*b*c*d^2*f^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(15*b^3*d*e*f^4 - 40*a*c^2*d^3*e*f^4 + 190*b^2*c*d^3*e*f^4 + 252*b*c^2*d^5*e*f^4 + 48*a*b*c*d*e*f^4))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*b^3*d^3*f^4 - 4*a*c^2*d^5*f^4 + 19*b^2*c*d^5*f^4 + 12*b*c^2*d^7*f^4 + 3*a*b^2*d*f^4 + 12*a^2*c*d*f^4 + 16*a*b*c*d^3*f^4)/(8*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*b*c^2*e^6*f^4*x^7)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (21*b*c^2*d*e^5*f^4*x^6)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) + atan((((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) - (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*1i + ((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*1i)/(((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) - (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c))) - ((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*((((1024*b^15*c^2*d*e^13 - 28672*a*b^13*c^3*d*e^13 - 16777216*a^7*b*c^9*d*e^13 + 344064*a^2*b^11*c^4*d*e^13 - 2293760*a^3*b^9*c^5*d*e^13 + 9175040*a^4*b^7*c^6*d*e^13 - 22020096*a^5*b^5*c^7*d*e^13 + 29360128*a^6*b^3*c^8*d*e^13)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(128*b^11*c^2*e^14 - 2560*a*b^9*c^3*e^14 - 131072*a^5*b*c^7*e^14 + 20480*a^2*b^7*c^4*e^14 - 81920*a^3*b^5*c^5*e^14 + 163840*a^4*b^3*c^6*e^14))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (786432*a^6*c^8*e^12*f^4 - 192*b^12*c^2*e^12*f^4 - 15360*a^2*b^8*c^4*e^12*f^4 + 245760*a^4*b^4*c^6*e^12*f^4 - 786432*a^5*b^2*c^7*e^12*f^4 + 3072*a*b^10*c^3*e^12*f^4)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2) + (18432*a^4*c^7*d*e^11*f^8 + 936*b^8*c^3*d*e^11*f^8 - 6912*a*b^6*c^4*d*e^11*f^8 + 11520*a^2*b^4*c^5*d*e^11*f^8)/(128*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x*(144*a^2*c^5*e^12*f^8 + 117*b^4*c^3*e^12*f^8 + 72*a*b^2*c^4*e^12*f^8))/(16*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c))) + (135*b^5*c^3*e^10*f^12 + 1080*a*b^3*c^4*e^10*f^12 + 432*a^2*b*c^5*e^10*f^12)/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c))))*((9*(f^8*(-(4*a*c - b^2)^15)^(1/2) - b^15*f^8 + 81920*a^7*b*c^7*f^8 + 560*a^2*b^11*c^2*f^8 - 4160*a^3*b^9*c^3*f^8 + 11520*a^4*b^7*c^4*f^8 + 1024*a^5*b^5*c^5*f^8 - 61440*a^6*b^3*c^6*f^8 - 20*a*b^13*c*f^8))/(512*(a*b^20*e^2 + 1048576*a^11*c^10*e^2 - 40*a^2*b^18*c*e^2 + 720*a^3*b^16*c^2*e^2 - 7680*a^4*b^14*c^3*e^2 + 53760*a^5*b^12*c^4*e^2 - 258048*a^6*b^10*c^5*e^2 + 860160*a^7*b^8*c^6*e^2 - 1966080*a^8*b^6*c^7*e^2 + 2949120*a^9*b^4*c^8*e^2 - 2621440*a^10*b^2*c^9*e^2)))^(1/2)*2i","B"
655,1,1267,159,4.019429,"\text{Not used}","int((d*f + e*f*x)^3/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","-\frac{\frac{8\,a^2\,c\,f^3+a\,b^2\,f^3+10\,a\,b\,c\,d^2\,f^3+2\,b^3\,d^2\,f^3+9\,b^2\,c\,d^4\,f^3+6\,b\,c^2\,d^6\,f^3}{4\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(e\,b^3\,f^3+27\,e\,b^2\,c\,d^2\,f^3+45\,e\,b\,c^2\,d^4\,f^3+5\,a\,e\,b\,c\,f^3\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,x^4\,\left(b^2\,c\,e^3\,f^3+10\,b\,c^2\,d^2\,e^3\,f^3\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,d\,x^3\,\left(3\,b^2\,c\,e^2\,f^3+10\,b\,c^2\,d^2\,e^2\,f^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{d\,x\,\left(b^3\,f^3+9\,b^2\,c\,d^2\,f^3+9\,b\,c^2\,d^4\,f^3+5\,a\,b\,c\,f^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,b\,c^2\,e^5\,f^3\,x^6}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b\,c^2\,d\,e^4\,f^3\,x^5}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}-\frac{3\,b\,c\,f^3\,\mathrm{atan}\left(\frac{\left(b^4\,{\left(4\,a\,c-b^2\right)}^5+16\,a^2\,c^2\,{\left(4\,a\,c-b^2\right)}^5-8\,a\,b^2\,c\,{\left(4\,a\,c-b^2\right)}^5\right)\,\left(x^2\,\left(\frac{9\,b^2\,c^4\,e^8\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^3\,c^2\,f^6\,\left(32\,a^2\,b\,c^4\,e^{10}-16\,a\,b^3\,c^3\,e^{10}+2\,b^5\,c^2\,e^{10}\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+x\,\left(\frac{9\,b^3\,c^2\,f^6\,\left(32\,d\,a^2\,b\,c^4\,e^9-16\,d\,a\,b^3\,c^3\,e^9+2\,d\,b^5\,c^2\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{18\,b^2\,c^4\,d\,e^7\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+\frac{9\,b^2\,c^4\,d^2\,e^6\,f^6}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,b^3\,c^2\,f^6\,\left(64\,a^3\,c^4\,e^8-32\,a^2\,b^2\,c^3\,e^8+32\,a^2\,b\,c^4\,d^2\,e^8+4\,a\,b^4\,c^2\,e^8-16\,a\,b^3\,c^3\,d^2\,e^8+2\,b^5\,c^2\,d^2\,e^8\right)}{2\,a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)}{18\,b^2\,c^4\,e^6\,f^6}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"- ((a*b^2*f^3 + 8*a^2*c*f^3 + 2*b^3*d^2*f^3 + 9*b^2*c*d^4*f^3 + 6*b*c^2*d^6*f^3 + 10*a*b*c*d^2*f^3)/(4*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(b^3*e*f^3 + 27*b^2*c*d^2*e*f^3 + 45*b*c^2*d^4*e*f^3 + 5*a*b*c*e*f^3))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*x^4*(b^2*c*e^3*f^3 + 10*b*c^2*d^2*e^3*f^3))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*d*x^3*(3*b^2*c*e^2*f^3 + 10*b*c^2*d^2*e^2*f^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (d*x*(b^3*f^3 + 9*b^2*c*d^2*f^3 + 9*b*c^2*d^4*f^3 + 5*a*b*c*f^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*b*c^2*e^5*f^3*x^6)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b*c^2*d*e^4*f^3*x^5)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) - (3*b*c*f^3*atan(((b^4*(4*a*c - b^2)^5 + 16*a^2*c^2*(4*a*c - b^2)^5 - 8*a*b^2*c*(4*a*c - b^2)^5)*(x^2*((9*b^2*c^4*e^8*f^6)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^3*c^2*f^6*(2*b^5*c^2*e^10 - 16*a*b^3*c^3*e^10 + 32*a^2*b*c^4*e^10))/(2*a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + x*((9*b^3*c^2*f^6*(2*b^5*c^2*d*e^9 - 16*a*b^3*c^3*d*e^9 + 32*a^2*b*c^4*d*e^9))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (18*b^2*c^4*d*e^7*f^6)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + (9*b^2*c^4*d^2*e^6*f^6)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*b^3*c^2*f^6*(64*a^3*c^4*e^8 + 4*a*b^4*c^2*e^8 - 32*a^2*b^2*c^3*e^8 + 2*b^5*c^2*d^2*e^8 - 16*a*b^3*c^3*d^2*e^8 + 32*a^2*b*c^4*d^2*e^8))/(2*a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))/(18*b^2*c^4*e^6*f^6)))/(e*(4*a*c - b^2)^(5/2))","B"
656,1,16025,375,7.944303,"\text{Not used}","int((d*f + e*f*x)^2/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{\frac{x^5\,\left(2\,b^3\,c\,e^4\,f^2+21\,b^2\,c^2\,d^2\,e^4\,f^2+28\,a\,b\,c^2\,e^4\,f^2+420\,a\,c^3\,d^2\,e^4\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^3\,\left(36\,a^2\,c^2\,e^2\,f^2+5\,a\,b^2\,c\,e^2\,f^2+280\,a\,b\,c^2\,d^2\,e^2\,f^2+700\,a\,c^3\,d^4\,e^2\,f^2+b^4\,e^2\,f^2+20\,b^3\,c\,d^2\,e^2\,f^2+35\,b^2\,c^2\,d^4\,e^2\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(16\,a^2\,b\,c\,f^2+108\,a^2\,c^2\,d^2\,f^2-a\,b^3\,f^2+15\,a\,b^2\,c\,d^2\,f^2+140\,a\,b\,c^2\,d^4\,f^2+140\,a\,c^3\,d^6\,f^2+3\,b^4\,d^2\,f^2+10\,b^3\,c\,d^4\,f^2+7\,b^2\,c^2\,d^6\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(108\,e\,a^2\,c^2\,d\,f^2+15\,e\,a\,b^2\,c\,d\,f^2+280\,e\,a\,b\,c^2\,d^3\,f^2+420\,e\,a\,c^3\,d^5\,f^2+3\,e\,b^4\,d\,f^2+20\,e\,b^3\,c\,d^3\,f^2+21\,e\,b^2\,c^2\,d^5\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{16\,a^2\,b\,c\,d\,f^2+36\,a^2\,c^2\,d^3\,f^2-a\,b^3\,d\,f^2+5\,a\,b^2\,c\,d^3\,f^2+28\,a\,b\,c^2\,d^5\,f^2+20\,a\,c^3\,d^7\,f^2+b^4\,d^3\,f^2+2\,b^3\,c\,d^5\,f^2+b^2\,c^2\,d^7\,f^2}{8\,a\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{7\,x^6\,\left(d\,b^2\,c^2\,e^5\,f^2+20\,a\,d\,c^3\,e^5\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{5\,x^4\,\left(2\,b^3\,c\,d\,e^3\,f^2+7\,b^2\,c^2\,d^3\,e^3\,f^2+28\,a\,b\,c^2\,d\,e^3\,f^2+140\,a\,c^3\,d^3\,e^3\,f^2\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{f^2\,x^7\,\left(b^2\,c^2\,e^6+20\,a\,c^3\,e^6\right)}{8\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\mathrm{atan}\left(\frac{\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}-\frac{4194304\,a^7\,b\,c^8\,e^{12}\,f^2-5505024\,a^6\,b^3\,c^7\,e^{12}\,f^2+2949120\,a^5\,b^5\,c^6\,e^{12}\,f^2-819200\,a^4\,b^7\,c^5\,e^{12}\,f^2+122880\,a^3\,b^9\,c^4\,e^{12}\,f^2-9216\,a^2\,b^{11}\,c^3\,e^{12}\,f^2+256\,a\,b^{13}\,c^2\,e^{12}\,f^2}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}+\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{4194304\,a^7\,b\,c^8\,e^{12}\,f^2-5505024\,a^6\,b^3\,c^7\,e^{12}\,f^2+2949120\,a^5\,b^5\,c^6\,e^{12}\,f^2-819200\,a^4\,b^7\,c^5\,e^{12}\,f^2+122880\,a^3\,b^9\,c^4\,e^{12}\,f^2-9216\,a^2\,b^{11}\,c^3\,e^{12}\,f^2+256\,a\,b^{13}\,c^2\,e^{12}\,f^2}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4+b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4-25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\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c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}+\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{4194304\,a^7\,b\,c^8\,e^{12}\,f^2-5505024\,a^6\,b^3\,c^7\,e^{12}\,f^2+2949120\,a^5\,b^5\,c^6\,e^{12}\,f^2-819200\,a^4\,b^7\,c^5\,e^{12}\,f^2+122880\,a^3\,b^9\,c^4\,e^{12}\,f^2-9216\,a^2\,b^{11}\,c^3\,e^{12}\,f^2+256\,a\,b^{13}\,c^2\,e^{12}\,f^2}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}-\frac{4194304\,a^7\,b\,c^8\,e^{12}\,f^2-5505024\,a^6\,b^3\,c^7\,e^{12}\,f^2+2949120\,a^5\,b^5\,c^6\,e^{12}\,f^2-819200\,a^4\,b^7\,c^5\,e^{12}\,f^2+122880\,a^3\,b^9\,c^4\,e^{12}\,f^2-9216\,a^2\,b^{11}\,c^3\,e^{12}\,f^2+256\,a\,b^{13}\,c^2\,e^{12}\,f^2}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}-\left(\left(\left(\frac{67108864\,d\,a^9\,b\,c^9\,e^{13}-117440512\,d\,a^8\,b^3\,c^8\,e^{13}+88080384\,d\,a^7\,b^5\,c^7\,e^{13}-36700160\,d\,a^6\,b^7\,c^6\,e^{13}+9175040\,d\,a^5\,b^9\,c^5\,e^{13}-1376256\,d\,a^4\,b^{11}\,c^4\,e^{13}+114688\,d\,a^3\,b^{13}\,c^3\,e^{13}-4096\,d\,a^2\,b^{15}\,c^2\,e^{13}}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(262144\,a^7\,b\,c^7\,e^{14}-327680\,a^6\,b^3\,c^6\,e^{14}+163840\,a^5\,b^5\,c^5\,e^{14}-40960\,a^4\,b^7\,c^4\,e^{14}+5120\,a^3\,b^9\,c^3\,e^{14}-256\,a^2\,b^{11}\,c^2\,e^{14}\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{4194304\,a^7\,b\,c^8\,e^{12}\,f^2-5505024\,a^6\,b^3\,c^7\,e^{12}\,f^2+2949120\,a^5\,b^5\,c^6\,e^{12}\,f^2-819200\,a^4\,b^7\,c^5\,e^{12}\,f^2+122880\,a^3\,b^9\,c^4\,e^{12}\,f^2-9216\,a^2\,b^{11}\,c^3\,e^{12}\,f^2+256\,a\,b^{13}\,c^2\,e^{12}\,f^2}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{204800\,d\,a^5\,c^8\,e^{11}\,f^4-479232\,d\,a^4\,b^2\,c^7\,e^{11}\,f^4+209920\,d\,a^3\,b^4\,c^6\,e^{11}\,f^4-28160\,d\,a^2\,b^6\,c^5\,e^{11}\,f^4+672\,d\,a\,b^8\,c^4\,e^{11}\,f^4-16\,d\,b^{10}\,c^3\,e^{11}\,f^4}{512\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{x\,\left(800\,a^3\,c^6\,e^{12}\,f^4-1472\,a^2\,b^2\,c^5\,e^{12}\,f^4+34\,a\,b^4\,c^4\,e^{12}\,f^4-b^6\,c^3\,e^{12}\,f^4\right)}{32\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}+\frac{8000\,a^3\,c^7\,e^{10}\,f^6+12720\,a^2\,b^2\,c^6\,e^{10}\,f^6-84\,a\,b^4\,c^5\,e^{10}\,f^6-35\,b^6\,c^4\,e^{10}\,f^6}{256\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}}\right)\,\sqrt{-\frac{b^{17}\,f^4-b^2\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,a^8\,b\,c^8\,f^4+1140\,a^2\,b^{13}\,c^2\,f^4-10160\,a^3\,b^{11}\,c^3\,f^4+34880\,a^4\,b^9\,c^4\,f^4+43776\,a^5\,b^7\,c^5\,f^4-680960\,a^6\,b^5\,c^6\,f^4+1863680\,a^7\,b^3\,c^7\,f^4-55\,a\,b^{15}\,c\,f^4+25\,a\,c\,f^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{512\,\left(1048576\,a^{13}\,c^{10}\,e^2-2621440\,a^{12}\,b^2\,c^9\,e^2+2949120\,a^{11}\,b^4\,c^8\,e^2-1966080\,a^{10}\,b^6\,c^7\,e^2+860160\,a^9\,b^8\,c^6\,e^2-258048\,a^8\,b^{10}\,c^5\,e^2+53760\,a^7\,b^{12}\,c^4\,e^2-7680\,a^6\,b^{14}\,c^3\,e^2+720\,a^5\,b^{16}\,c^2\,e^2-40\,a^4\,b^{18}\,c\,e^2+a^3\,b^{20}\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i + ((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i)/(((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - ((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (8000*a^3*c^7*e^10*f^6 - 35*b^6*c^4*e^10*f^6 + 12720*a^2*b^2*c^6*e^10*f^6 - 84*a*b^4*c^5*e^10*f^6)/(256*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5))))*(-(b^17*f^4 + b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 - 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*2i + atan((((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i + ((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*1i)/(((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) - ((((67108864*a^9*b*c^9*d*e^13 - 4096*a^2*b^15*c^2*d*e^13 + 114688*a^3*b^13*c^3*d*e^13 - 1376256*a^4*b^11*c^4*d*e^13 + 9175040*a^5*b^9*c^5*d*e^13 - 36700160*a^6*b^7*c^6*d*e^13 + 88080384*a^7*b^5*c^7*d*e^13 - 117440512*a^8*b^3*c^8*d*e^13)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(262144*a^7*b*c^7*e^14 - 256*a^2*b^11*c^2*e^14 + 5120*a^3*b^9*c^3*e^14 - 40960*a^4*b^7*c^4*e^14 + 163840*a^5*b^5*c^5*e^14 - 327680*a^6*b^3*c^6*e^14))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (122880*a^3*b^9*c^4*e^12*f^2 - 9216*a^2*b^11*c^3*e^12*f^2 - 819200*a^4*b^7*c^5*e^12*f^2 + 2949120*a^5*b^5*c^6*e^12*f^2 - 5505024*a^6*b^3*c^7*e^12*f^2 + 256*a*b^13*c^2*e^12*f^2 + 4194304*a^7*b*c^8*e^12*f^2)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (204800*a^5*c^8*d*e^11*f^4 - 16*b^10*c^3*d*e^11*f^4 + 672*a*b^8*c^4*d*e^11*f^4 - 28160*a^2*b^6*c^5*d*e^11*f^4 + 209920*a^3*b^4*c^6*d*e^11*f^4 - 479232*a^4*b^2*c^7*d*e^11*f^4)/(512*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x*(800*a^3*c^6*e^12*f^4 - b^6*c^3*e^12*f^4 - 1472*a^2*b^2*c^5*e^12*f^4 + 34*a*b^4*c^4*e^12*f^4))/(32*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2) + (8000*a^3*c^7*e^10*f^6 - 35*b^6*c^4*e^10*f^6 + 12720*a^2*b^2*c^6*e^10*f^6 - 84*a*b^4*c^5*e^10*f^6)/(256*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5))))*(-(b^17*f^4 - b^2*f^4*(-(4*a*c - b^2)^15)^(1/2) - 1720320*a^8*b*c^8*f^4 + 1140*a^2*b^13*c^2*f^4 - 10160*a^3*b^11*c^3*f^4 + 34880*a^4*b^9*c^4*f^4 + 43776*a^5*b^7*c^5*f^4 - 680960*a^6*b^5*c^6*f^4 + 1863680*a^7*b^3*c^7*f^4 - 55*a*b^15*c*f^4 + 25*a*c*f^4*(-(4*a*c - b^2)^15)^(1/2))/(512*(a^3*b^20*e^2 + 1048576*a^13*c^10*e^2 - 40*a^4*b^18*c*e^2 + 720*a^5*b^16*c^2*e^2 - 7680*a^6*b^14*c^3*e^2 + 53760*a^7*b^12*c^4*e^2 - 258048*a^8*b^10*c^5*e^2 + 860160*a^9*b^8*c^6*e^2 - 1966080*a^10*b^6*c^7*e^2 + 2949120*a^11*b^4*c^8*e^2 - 2621440*a^12*b^2*c^9*e^2)))^(1/2)*2i + ((x^5*(2*b^3*c*e^4*f^2 + 21*b^2*c^2*d^2*e^4*f^2 + 28*a*b*c^2*e^4*f^2 + 420*a*c^3*d^2*e^4*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^3*(b^4*e^2*f^2 + 36*a^2*c^2*e^2*f^2 + 35*b^2*c^2*d^4*e^2*f^2 + 5*a*b^2*c*e^2*f^2 + 700*a*c^3*d^4*e^2*f^2 + 20*b^3*c*d^2*e^2*f^2 + 280*a*b*c^2*d^2*e^2*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(3*b^4*d^2*f^2 - a*b^3*f^2 + 140*a*c^3*d^6*f^2 + 10*b^3*c*d^4*f^2 + 108*a^2*c^2*d^2*f^2 + 7*b^2*c^2*d^6*f^2 + 16*a^2*b*c*f^2 + 15*a*b^2*c*d^2*f^2 + 140*a*b*c^2*d^4*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(3*b^4*d*e*f^2 + 108*a^2*c^2*d*e*f^2 + 420*a*c^3*d^5*e*f^2 + 20*b^3*c*d^3*e*f^2 + 21*b^2*c^2*d^5*e*f^2 + 15*a*b^2*c*d*e*f^2 + 280*a*b*c^2*d^3*e*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (b^4*d^3*f^2 + 20*a*c^3*d^7*f^2 + 2*b^3*c*d^5*f^2 + 36*a^2*c^2*d^3*f^2 + b^2*c^2*d^7*f^2 - a*b^3*d*f^2 + 16*a^2*b*c*d*f^2 + 5*a*b^2*c*d^3*f^2 + 28*a*b*c^2*d^5*f^2)/(8*a*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (7*x^6*(20*a*c^3*d*e^5*f^2 + b^2*c^2*d*e^5*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (5*x^4*(7*b^2*c^2*d^3*e^3*f^2 + 2*b^3*c*d*e^3*f^2 + 140*a*c^3*d^3*e^3*f^2 + 28*a*b*c^2*d*e^3*f^2))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (f^2*x^7*(20*a*c^3*e^6 + b^2*c^2*e^6))/(8*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7)","B"
657,1,1199,153,3.994173,"\text{Not used}","int((d*f + e*f*x)/(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3,x)","\frac{\frac{x^2\,\left(e\,f\,b^2\,c+27\,e\,f\,b\,c^2\,d^2+45\,e\,f\,c^3\,d^4+5\,a\,e\,f\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{-f\,b^3+4\,f\,b^2\,c\,d^2+18\,f\,b\,c^2\,d^4+10\,a\,f\,b\,c+12\,f\,c^3\,d^6+20\,a\,f\,c^2\,d^2}{4\,e\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{9\,x^4\,\left(10\,f\,c^3\,d^2\,e^3+b\,f\,c^2\,e^3\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{2\,d\,x\,\left(f\,b^2\,c+9\,f\,b\,c^2\,d^2+9\,f\,c^3\,d^4+5\,a\,f\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{6\,d\,x^3\,\left(10\,f\,c^3\,d^2\,e^2+3\,b\,f\,c^2\,e^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,c^3\,e^5\,f\,x^6}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{18\,c^3\,d\,e^4\,f\,x^5}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(6\,b^2\,d^2\,e^2+30\,b\,c\,d^4\,e^2+2\,a\,b\,e^2+28\,c^2\,d^6\,e^2+12\,a\,c\,d^2\,e^2\right)+x^6\,\left(28\,c^2\,d^2\,e^6+2\,b\,c\,e^6\right)+x\,\left(4\,e\,b^2\,d^3+12\,e\,b\,c\,d^5+4\,a\,e\,b\,d+8\,e\,c^2\,d^7+8\,a\,e\,c\,d^3\right)+x^3\,\left(4\,b^2\,d\,e^3+40\,b\,c\,d^3\,e^3+56\,c^2\,d^5\,e^3+8\,a\,c\,d\,e^3\right)+x^5\,\left(56\,c^2\,d^3\,e^5+12\,b\,c\,d\,e^5\right)+x^4\,\left(b^2\,e^4+30\,b\,c\,d^2\,e^4+70\,c^2\,d^4\,e^4+2\,a\,c\,e^4\right)+a^2+b^2\,d^4+c^2\,d^8+c^2\,e^8\,x^8+2\,a\,b\,d^2+2\,a\,c\,d^4+2\,b\,c\,d^6+8\,c^2\,d\,e^7\,x^7}+\frac{6\,c^2\,f\,\mathrm{atan}\left(\frac{\left(b^4\,{\left(4\,a\,c-b^2\right)}^5+16\,a^2\,c^2\,{\left(4\,a\,c-b^2\right)}^5-8\,a\,b^2\,c\,{\left(4\,a\,c-b^2\right)}^5\right)\,\left(x^2\,\left(\frac{36\,c^6\,e^8\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{36\,b\,c^4\,f^2\,\left(16\,a^2\,b\,c^4\,e^{10}-8\,a\,b^3\,c^3\,e^{10}+b^5\,c^2\,e^{10}\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+x\,\left(\frac{72\,c^6\,d\,e^7\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{72\,b\,c^4\,f^2\,\left(16\,d\,a^2\,b\,c^4\,e^9-8\,d\,a\,b^3\,c^3\,e^9+d\,b^5\,c^2\,e^9\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)+\frac{36\,c^6\,d^2\,e^6\,f^2}{a\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{36\,b\,c^4\,f^2\,\left(32\,a^3\,c^4\,e^8-16\,a^2\,b^2\,c^3\,e^8+16\,a^2\,b\,c^4\,d^2\,e^8+2\,a\,b^4\,c^2\,e^8-8\,a\,b^3\,c^3\,d^2\,e^8+b^5\,c^2\,d^2\,e^8\right)}{a\,e^2\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)}{72\,c^6\,e^6\,f^2}\right)}{e\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((x^2*(5*a*c^2*e*f + b^2*c*e*f + 45*c^3*d^4*e*f + 27*b*c^2*d^2*e*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (12*c^3*d^6*f - b^3*f + 20*a*c^2*d^2*f + 4*b^2*c*d^2*f + 18*b*c^2*d^4*f + 10*a*b*c*f)/(4*e*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (9*x^4*(10*c^3*d^2*e^3*f + b*c^2*e^3*f))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (2*d*x*(9*c^3*d^4*f + 5*a*c^2*f + b^2*c*f + 9*b*c^2*d^2*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (6*d*x^3*(10*c^3*d^2*e^2*f + 3*b*c^2*e^2*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*c^3*e^5*f*x^6)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (18*c^3*d*e^4*f*x^5)/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(6*b^2*d^2*e^2 + 28*c^2*d^6*e^2 + 2*a*b*e^2 + 12*a*c*d^2*e^2 + 30*b*c*d^4*e^2) + x^6*(28*c^2*d^2*e^6 + 2*b*c*e^6) + x*(4*b^2*d^3*e + 8*c^2*d^7*e + 8*a*c*d^3*e + 12*b*c*d^5*e + 4*a*b*d*e) + x^3*(4*b^2*d*e^3 + 56*c^2*d^5*e^3 + 8*a*c*d*e^3 + 40*b*c*d^3*e^3) + x^5*(56*c^2*d^3*e^5 + 12*b*c*d*e^5) + x^4*(b^2*e^4 + 70*c^2*d^4*e^4 + 2*a*c*e^4 + 30*b*c*d^2*e^4) + a^2 + b^2*d^4 + c^2*d^8 + c^2*e^8*x^8 + 2*a*b*d^2 + 2*a*c*d^4 + 2*b*c*d^6 + 8*c^2*d*e^7*x^7) + (6*c^2*f*atan(((b^4*(4*a*c - b^2)^5 + 16*a^2*c^2*(4*a*c - b^2)^5 - 8*a*b^2*c*(4*a*c - b^2)^5)*(x^2*((36*c^6*e^8*f^2)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (36*b*c^4*f^2*(b^5*c^2*e^10 - 8*a*b^3*c^3*e^10 + 16*a^2*b*c^4*e^10))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + x*((72*c^6*d*e^7*f^2)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (72*b*c^4*f^2*(b^5*c^2*d*e^9 - 8*a*b^3*c^3*d*e^9 + 16*a^2*b*c^4*d*e^9))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))) + (36*c^6*d^2*e^6*f^2)/(a*(4*a*c - b^2)^(9/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (36*b*c^4*f^2*(32*a^3*c^4*e^8 + 2*a*b^4*c^2*e^8 - 16*a^2*b^2*c^3*e^8 + b^5*c^2*d^2*e^8 - 8*a*b^3*c^3*d^2*e^8 + 16*a^2*b*c^4*d^2*e^8))/(a*e^2*(4*a*c - b^2)^(15/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))))/(72*c^6*e^6*f^2)))/(e*(4*a*c - b^2)^(5/2))","B"
658,1,22621,270,18.492445,"\text{Not used}","int(1/((d*f + e*f*x)*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","\frac{\frac{x^2\,\left(-e\,a^2\,b\,c^2+48\,e\,a^2\,c^3\,d^2-6\,e\,a\,b^3\,c-87\,e\,a\,b^2\,c^2\,d^2-105\,e\,a\,b\,c^3\,d^4+e\,b^5+12\,e\,b^4\,c\,d^2+15\,e\,b^3\,c^2\,d^4\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^4\,\left(16\,a^2\,c^3\,e^3-29\,a\,b^2\,c^2\,e^3-210\,a\,b\,c^3\,d^2\,e^3+4\,b^4\,c\,e^3+30\,b^3\,c^2\,d^2\,e^3\right)}{4\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^3\,\left(16\,a^2\,c^3\,d\,e^2-29\,a\,b^2\,c^2\,d\,e^2-70\,a\,b\,c^3\,d^3\,e^2+4\,b^4\,c\,d\,e^2+10\,b^3\,c^2\,d^3\,e^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{3\,x^5\,\left(b^3\,c^2\,d\,e^4-7\,a\,b\,c^3\,d\,e^4\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{x^6\,\left(b^3\,c^2\,e^5-7\,a\,b\,c^3\,e^5\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x\,\left(-a^2\,b\,c^2\,d+16\,a^2\,c^3\,d^3-6\,a\,b^3\,c\,d-29\,a\,b^2\,c^2\,d^3-21\,a\,b\,c^3\,d^5+b^5\,d+4\,b^4\,c\,d^3+3\,b^3\,c^2\,d^5\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}+\frac{24\,a^3\,c^2-21\,a^2\,b^2\,c-2\,a^2\,b\,c^2\,d^2+16\,a^2\,c^3\,d^4+3\,a\,b^4-12\,a\,b^3\,c\,d^2-29\,a\,b^2\,c^2\,d^4-14\,a\,b\,c^3\,d^6+2\,b^5\,d^2+4\,b^4\,c\,d^4+2\,b^3\,c^2\,d^6}{4\,e\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}}{x^3\,\left(4\,f\,b^2\,d\,e^3+40\,f\,b\,c\,d^3\,e^3+56\,f\,c^2\,d^5\,e^3+8\,a\,f\,c\,d\,e^3\right)+x^2\,\left(6\,f\,b^2\,d^2\,e^2+30\,f\,b\,c\,d^4\,e^2+2\,a\,f\,b\,e^2+28\,f\,c^2\,d^6\,e^2+12\,a\,f\,c\,d^2\,e^2\right)+x\,\left(4\,e\,f\,b^2\,d^3+12\,e\,f\,b\,c\,d^5+4\,a\,e\,f\,b\,d+8\,e\,f\,c^2\,d^7+8\,a\,e\,f\,c\,d^3\right)+x^4\,\left(f\,b^2\,e^4+30\,f\,b\,c\,d^2\,e^4+70\,f\,c^2\,d^4\,e^4+2\,a\,f\,c\,e^4\right)+x^5\,\left(56\,f\,c^2\,d^3\,e^5+12\,b\,f\,c\,d\,e^5\right)+a^2\,f+x^6\,\left(28\,f\,c^2\,d^2\,e^6+2\,b\,f\,c\,e^6\right)+b^2\,d^4\,f+c^2\,d^8\,f+c^2\,e^8\,f\,x^8+2\,a\,b\,d^2\,f+2\,a\,c\,d^4\,f+2\,b\,c\,d^6\,f+8\,c^2\,d\,e^7\,f\,x^7}-\frac{\ln\left(\left(\frac{\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(\frac{\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(\frac{2\,b\,c^2\,e^{16}\,\left(46\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-18\,a\,b^3\,c-2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}+1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3\,f}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^3\,e\,f}+\frac{b\,c^3\,e^{15}\,\left(7\,a\,c-b^2\right)\,\left(71\,a^2\,b\,c^2+80\,a^2\,c^3\,d^2-33\,a\,b^3\,c-47\,a\,b^2\,c^2\,d^2+4\,b^5+6\,b^4\,c\,d^2\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}-\frac{b\,c^4\,e^{17}\,x^2\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}-\frac{2\,b\,c^4\,d\,e^{16}\,x\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^3\,e\,f}-\frac{b^3\,c^5\,e^{16}\,x^2\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}+\frac{b^2\,c^4\,e^{14}\,{\left(7\,a\,c-b^2\right)}^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c-7\,a\,b\,c^2\,d^2+b^4+b^3\,c\,d^2\right)}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}-\frac{2\,b^3\,c^5\,d\,e^{15}\,x\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}\right)\,\left(\frac{\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(\frac{\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(\frac{2\,b\,c^2\,e^{16}\,\left(46\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-18\,a\,b^3\,c-2\,a\,b^2\,c^2\,d^2+2\,b^5+b^4\,c\,d^2\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}-\frac{b\,c^2\,e^{16}\,\left(a^3\,e\,f\,\sqrt{-\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2}{a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5}}-1\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^3\,f}+\frac{2\,b\,c^3\,e^{18}\,x^2\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}+\frac{4\,b\,c^3\,d\,e^{17}\,x\,\left(10\,a^2\,c^2-2\,a\,b^2\,c+b^4\right)}{a^2\,f\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^3\,e\,f}-\frac{b\,c^3\,e^{15}\,\left(7\,a\,c-b^2\right)\,\left(71\,a^2\,b\,c^2+80\,a^2\,c^3\,d^2-33\,a\,b^3\,c-47\,a\,b^2\,c^2\,d^2+4\,b^5+6\,b^4\,c\,d^2\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}+\frac{b\,c^4\,e^{17}\,x^2\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}+\frac{2\,b\,c^4\,d\,e^{16}\,x\,\left(-560\,a^3\,c^3+409\,a^2\,b^2\,c^2-89\,a\,b^4\,c+6\,b^6\right)}{a^4\,f^2\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^3\,e\,f}-\frac{b^3\,c^5\,e^{16}\,x^2\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}+\frac{b^2\,c^4\,e^{14}\,{\left(7\,a\,c-b^2\right)}^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c-7\,a\,b\,c^2\,d^2+b^4+b^3\,c\,d^2\right)}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}-\frac{2\,b^3\,c^5\,d\,e^{15}\,x\,{\left(7\,a\,c-b^2\right)}^3}{a^6\,f^3\,{\left(4\,a\,c-b^2\right)}^6}\right)\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)}+\frac{\ln\left(d+e\,x\right)}{a^3\,e\,f}-\frac{b\,\mathrm{atan}\left(\frac{x\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{2\,\left(5120\,d\,a^{10}\,b\,c^9\,e^{17}\,f^2-6144\,d\,a^9\,b^3\,c^8\,e^{17}\,f^2+3456\,d\,a^8\,b^5\,c^7\,e^{17}\,f^2-1216\,d\,a^7\,b^7\,c^6\,e^{17}\,f^2+276\,d\,a^6\,b^9\,c^5\,e^{17}\,f^2-36\,d\,a^5\,b^{11}\,c^4\,e^{17}\,f^2+2\,d\,a^4\,b^{13}\,c^3\,e^{17}\,f^2\right)}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}-\frac{\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}\,f^3-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}\,f^3+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}\,f^3-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}\,f^3+24960\,d\,a^9\,b^9\,c^5\,e^{18}\,f^3-3840\,d\,a^8\,b^{11}\,c^4\,e^{18}\,f^3+328\,d\,a^7\,b^{13}\,c^3\,e^{18}\,f^3-12\,d\,a^6\,b^{15}\,c^2\,e^{18}\,f^3\right)}{\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{b\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}\,f^3-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}\,f^3+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}\,f^3-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}\,f^3+24960\,d\,a^9\,b^9\,c^5\,e^{18}\,f^3-3840\,d\,a^8\,b^{11}\,c^4\,e^{18}\,f^3+328\,d\,a^7\,b^{13}\,c^3\,e^{18}\,f^3-12\,d\,a^6\,b^{15}\,c^2\,e^{18}\,f^3\right)}{4\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)}-\frac{b\,\left(\frac{2\,\left(-8960\,d\,f\,a^7\,b\,c^9\,e^{16}+11024\,d\,f\,a^6\,b^3\,c^8\,e^{16}-5256\,d\,f\,a^5\,b^5\,c^7\,e^{16}+1217\,d\,f\,a^4\,b^7\,c^6\,e^{16}-137\,d\,f\,a^3\,b^9\,c^5\,e^{16}+6\,d\,f\,a^2\,b^{11}\,c^4\,e^{16}\right)}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}-\frac{\left(\frac{2\,\left(5120\,d\,a^{10}\,b\,c^9\,e^{17}\,f^2-6144\,d\,a^9\,b^3\,c^8\,e^{17}\,f^2+3456\,d\,a^8\,b^5\,c^7\,e^{17}\,f^2-1216\,d\,a^7\,b^7\,c^6\,e^{17}\,f^2+276\,d\,a^6\,b^9\,c^5\,e^{17}\,f^2-36\,d\,a^5\,b^{11}\,c^4\,e^{17}\,f^2+2\,d\,a^4\,b^{13}\,c^3\,e^{17}\,f^2\right)}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}-\frac{\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(163840\,d\,a^{13}\,b\,c^9\,e^{18}\,f^3-294912\,d\,a^{12}\,b^3\,c^8\,e^{18}\,f^3+227328\,d\,a^{11}\,b^5\,c^7\,e^{18}\,f^3-97280\,d\,a^{10}\,b^7\,c^6\,e^{18}\,f^3+24960\,d\,a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\,f^2+1052\,a^6\,b^{10}\,c^4\,e^{16}\,f^2+276\,a^6\,b^9\,c^5\,d^2\,e^{16}\,f^2-100\,a^5\,b^{12}\,c^3\,e^{16}\,f^2-36\,a^5\,b^{11}\,c^4\,d^2\,e^{16}\,f^2+4\,a^4\,b^{14}\,c^2\,e^{16}\,f^2+2\,a^4\,b^{13}\,c^3\,d^2\,e^{16}\,f^2}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}+\frac{\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}\,f^3-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}\,f^3-24576\,a^{12}\,b^4\,c^7\,e^{17}\,f^3+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}\,f^3+15360\,a^{11}\,b^6\,c^6\,e^{17}\,f^3-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}\,f^3-5120\,a^{10}\,b^8\,c^5\,e^{17}\,f^3+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}\,f^3+960\,a^9\,b^{10}\,c^4\,e^{17}\,f^3-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}\,f^3-96\,a^8\,b^{12}\,c^3\,e^{17}\,f^3+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}\,f^3+4\,a^7\,b^{14}\,c^2\,e^{17}\,f^3-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}\,f^3+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\,f^3\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)}\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)}-\frac{784\,a^4\,b^2\,c^8\,e^{14}-616\,a^3\,b^4\,c^7\,e^{14}-343\,a^3\,b^3\,c^8\,d^2\,e^{14}+177\,a^2\,b^6\,c^6\,e^{14}+147\,a^2\,b^5\,c^7\,d^2\,e^{14}-22\,a\,b^8\,c^5\,e^{14}-21\,a\,b^7\,c^6\,d^2\,e^{14}+b^{10}\,c^4\,e^{14}+b^9\,c^5\,d^2\,e^{14}}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}+\frac{b\,\left(\frac{b\,\left(\frac{23552\,a^{10}\,b^2\,c^8\,e^{16}\,f^2+5120\,a^{10}\,b\,c^9\,d^2\,e^{16}\,f^2-32768\,a^9\,b^4\,c^7\,e^{16}\,f^2-6144\,a^9\,b^3\,c^8\,d^2\,e^{16}\,f^2+19072\,a^8\,b^6\,c^6\,e^{16}\,f^2+3456\,a^8\,b^5\,c^7\,d^2\,e^{16}\,f^2-5952\,a^7\,b^8\,c^5\,e^{16}\,f^2-1216\,a^7\,b^7\,c^6\,d^2\,e^{16}\,f^2+1052\,a^6\,b^{10}\,c^4\,e^{16}\,f^2+276\,a^6\,b^9\,c^5\,d^2\,e^{16}\,f^2-100\,a^5\,b^{12}\,c^3\,e^{16}\,f^2-36\,a^5\,b^{11}\,c^4\,d^2\,e^{16}\,f^2+4\,a^4\,b^{14}\,c^2\,e^{16}\,f^2+2\,a^4\,b^{13}\,c^3\,d^2\,e^{16}\,f^2}{4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3}+\frac{\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}\,f^3-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}\,f^3-24576\,a^{12}\,b^4\,c^7\,e^{17}\,f^3+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}\,f^3+15360\,a^{11}\,b^6\,c^6\,e^{17}\,f^3-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}\,f^3-5120\,a^{10}\,b^8\,c^5\,e^{17}\,f^3+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}\,f^3+960\,a^9\,b^{10}\,c^4\,e^{17}\,f^3-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}\,f^3-96\,a^8\,b^{12}\,c^3\,e^{17}\,f^3+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}\,f^3+4\,a^7\,b^{14}\,c^2\,e^{17}\,f^3-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}\,f^3+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\,f^3\right)}{2\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{b\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}\,f^3-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}\,f^3-24576\,a^{12}\,b^4\,c^7\,e^{17}\,f^3+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}\,f^3+15360\,a^{11}\,b^6\,c^6\,e^{17}\,f^3-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}\,f^3-5120\,a^{10}\,b^8\,c^5\,e^{17}\,f^3+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}\,f^3+960\,a^9\,b^{10}\,c^4\,e^{17}\,f^3-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}\,f^3-96\,a^8\,b^{12}\,c^3\,e^{17}\,f^3+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}\,f^3+4\,a^7\,b^{14}\,c^2\,e^{17}\,f^3-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}\,f^3+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\,f^3\right)}{8\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{4\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{b^2\,{\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}^2\,\left(-2048\,e\,f\,a^5\,c^5+2560\,e\,f\,a^4\,b^2\,c^4-1280\,e\,f\,a^3\,b^4\,c^3+320\,e\,f\,a^2\,b^6\,c^2-40\,e\,f\,a\,b^8\,c+2\,e\,f\,b^{10}\right)\,\left(16384\,a^{13}\,b^2\,c^8\,e^{17}\,f^3-163840\,a^{13}\,b\,c^9\,d^2\,e^{17}\,f^3-24576\,a^{12}\,b^4\,c^7\,e^{17}\,f^3+294912\,a^{12}\,b^3\,c^8\,d^2\,e^{17}\,f^3+15360\,a^{11}\,b^6\,c^6\,e^{17}\,f^3-227328\,a^{11}\,b^5\,c^7\,d^2\,e^{17}\,f^3-5120\,a^{10}\,b^8\,c^5\,e^{17}\,f^3+97280\,a^{10}\,b^7\,c^6\,d^2\,e^{17}\,f^3+960\,a^9\,b^{10}\,c^4\,e^{17}\,f^3-24960\,a^9\,b^9\,c^5\,d^2\,e^{17}\,f^3-96\,a^8\,b^{12}\,c^3\,e^{17}\,f^3+3840\,a^8\,b^{11}\,c^4\,d^2\,e^{17}\,f^3+4\,a^7\,b^{14}\,c^2\,e^{17}\,f^3-328\,a^7\,b^{13}\,c^3\,d^2\,e^{17}\,f^3+12\,a^6\,b^{15}\,c^2\,d^2\,e^{17}\,f^3\right)}{32\,a^6\,e^2\,f^2\,{\left(4\,a\,c-b^2\right)}^5\,\left(-4096\,a^8\,c^5\,e^2\,f^2+5120\,a^7\,b^2\,c^4\,e^2\,f^2-2560\,a^6\,b^4\,c^3\,e^2\,f^2+640\,a^5\,b^6\,c^2\,e^2\,f^2-80\,a^4\,b^8\,c\,e^2\,f^2+4\,a^3\,b^{10}\,e^2\,f^2\right)\,\left(4096\,a^{12}\,c^6\,f^3-6144\,a^{11}\,b^2\,c^5\,f^3+3840\,a^{10}\,b^4\,c^4\,f^3-1280\,a^9\,b^6\,c^3\,f^3+240\,a^8\,b^8\,c^2\,f^3-24\,a^7\,b^{10}\,c\,f^3+a^6\,b^{12}\,f^3\right)}\right)\,\left(-45\,a^3\,c^3+40\,a^2\,b^2\,c^2-11\,a\,b^4\,c+b^6\right)\,\left(16\,a^9\,b^{12}\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}+65536\,a^{15}\,c^6\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}-384\,a^{10}\,b^{10}\,c\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}+3840\,a^{11}\,b^8\,c^2\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}-20480\,a^{12}\,b^6\,c^3\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}+61440\,a^{13}\,b^4\,c^4\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}-98304\,a^{14}\,b^2\,c^5\,f^3\,{\left(4\,a\,c-b^2\right)}^{15/2}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^6\,\left(900\,a^4\,b^2\,c^6\,e^{14}-600\,a^3\,b^4\,c^5\,e^{14}+160\,a^2\,b^6\,c^4\,e^{14}-20\,a\,b^8\,c^3\,e^{14}+b^{10}\,c^2\,e^{14}\right)\,\left(-6400\,a^5\,c^5+7775\,a^4\,b^2\,c^4-3850\,a^3\,b^4\,c^3+960\,a^2\,b^6\,c^2-120\,a\,b^8\,c+6\,b^{10}\right)}\right)\,\left(30\,a^2\,c^2-10\,a\,b^2\,c+b^4\right)}{2\,a^3\,e\,f\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((x^2*(b^5*e + 48*a^2*c^3*d^2*e + 15*b^3*c^2*d^4*e - 6*a*b^3*c*e - a^2*b*c^2*e + 12*b^4*c*d^2*e - 105*a*b*c^3*d^4*e - 87*a*b^2*c^2*d^2*e))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^4*(4*b^4*c*e^3 + 16*a^2*c^3*e^3 - 29*a*b^2*c^2*e^3 + 30*b^3*c^2*d^2*e^3 - 210*a*b*c^3*d^2*e^3))/(4*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^3*(16*a^2*c^3*d*e^2 + 10*b^3*c^2*d^3*e^2 + 4*b^4*c*d*e^2 - 29*a*b^2*c^2*d*e^2 - 70*a*b*c^3*d^3*e^2))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (3*x^5*(b^3*c^2*d*e^4 - 7*a*b*c^3*d*e^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (x^6*(b^3*c^2*e^5 - 7*a*b*c^3*e^5))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x*(b^5*d + 4*b^4*c*d^3 + 16*a^2*c^3*d^3 + 3*b^3*c^2*d^5 - 29*a*b^2*c^2*d^3 - 6*a*b^3*c*d - a^2*b*c^2*d - 21*a*b*c^3*d^5))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c) + (3*a*b^4 + 24*a^3*c^2 + 2*b^5*d^2 - 21*a^2*b^2*c + 4*b^4*c*d^4 + 16*a^2*c^3*d^4 + 2*b^3*c^2*d^6 - 2*a^2*b*c^2*d^2 - 29*a*b^2*c^2*d^4 - 12*a*b^3*c*d^2 - 14*a*b*c^3*d^6)/(4*e*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))/(x^3*(56*c^2*d^5*e^3*f + 4*b^2*d*e^3*f + 40*b*c*d^3*e^3*f + 8*a*c*d*e^3*f) + x^2*(6*b^2*d^2*e^2*f + 28*c^2*d^6*e^2*f + 2*a*b*e^2*f + 12*a*c*d^2*e^2*f + 30*b*c*d^4*e^2*f) + x*(4*b^2*d^3*e*f + 8*c^2*d^7*e*f + 4*a*b*d*e*f + 8*a*c*d^3*e*f + 12*b*c*d^5*e*f) + x^4*(b^2*e^4*f + 70*c^2*d^4*e^4*f + 2*a*c*e^4*f + 30*b*c*d^2*e^4*f) + x^5*(56*c^2*d^3*e^5*f + 12*b*c*d*e^5*f) + a^2*f + x^6*(28*c^2*d^2*e^6*f + 2*b*c*e^6*f) + b^2*d^4*f + c^2*d^8*f + c^2*e^8*f*x^8 + 2*a*b*d^2*f + 2*a*c*d^4*f + 2*b*c*d^6*f + 8*c^2*d*e^7*f*x^7) - (log((((a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) + 1)*(((a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) + 1)*((2*b*c^2*e^16*(2*b^5 + 46*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 18*a*b^3*c - 2*a*b^2*c^2*d^2))/(a^2*f*(4*a*c - b^2)^2) + (b*c^2*e^16*(a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) + 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^3*f) + (2*b*c^3*e^18*x^2*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*f*(4*a*c - b^2)^2) + (4*b*c^3*d*e^17*x*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*f*(4*a*c - b^2)^2)))/(4*a^3*e*f) + (b*c^3*e^15*(7*a*c - b^2)*(4*b^5 + 71*a^2*b*c^2 + 6*b^4*c*d^2 + 80*a^2*c^3*d^2 - 33*a*b^3*c - 47*a*b^2*c^2*d^2))/(a^4*f^2*(4*a*c - b^2)^4) - (b*c^4*e^17*x^2*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*f^2*(4*a*c - b^2)^4) - (2*b*c^4*d*e^16*x*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*f^2*(4*a*c - b^2)^4)))/(4*a^3*e*f) - (b^3*c^5*e^16*x^2*(7*a*c - b^2)^3)/(a^6*f^3*(4*a*c - b^2)^6) + (b^2*c^4*e^14*(7*a*c - b^2)^2*(b^4 + 16*a^2*c^2 + b^3*c*d^2 - 8*a*b^2*c - 7*a*b*c^2*d^2))/(a^6*f^3*(4*a*c - b^2)^6) - (2*b^3*c^5*d*e^15*x*(7*a*c - b^2)^3)/(a^6*f^3*(4*a*c - b^2)^6))*(((a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) - 1)*(((a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) - 1)*((2*b*c^2*e^16*(2*b^5 + 46*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 18*a*b^3*c - 2*a*b^2*c^2*d^2))/(a^2*f*(4*a*c - b^2)^2) - (b*c^2*e^16*(a^3*e*f*(-(b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2)/(a^6*e^2*f^2*(4*a*c - b^2)^5))^(1/2) - 1)*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^3*f) + (2*b*c^3*e^18*x^2*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*f*(4*a*c - b^2)^2) + (4*b*c^3*d*e^17*x*(b^4 + 10*a^2*c^2 - 2*a*b^2*c))/(a^2*f*(4*a*c - b^2)^2)))/(4*a^3*e*f) - (b*c^3*e^15*(7*a*c - b^2)*(4*b^5 + 71*a^2*b*c^2 + 6*b^4*c*d^2 + 80*a^2*c^3*d^2 - 33*a*b^3*c - 47*a*b^2*c^2*d^2))/(a^4*f^2*(4*a*c - b^2)^4) + (b*c^4*e^17*x^2*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*f^2*(4*a*c - b^2)^4) + (2*b*c^4*d*e^16*x*(6*b^6 - 560*a^3*c^3 + 409*a^2*b^2*c^2 - 89*a*b^4*c))/(a^4*f^2*(4*a*c - b^2)^4)))/(4*a^3*e*f) - (b^3*c^5*e^16*x^2*(7*a*c - b^2)^3)/(a^6*f^3*(4*a*c - b^2)^6) + (b^2*c^4*e^14*(7*a*c - b^2)^2*(b^4 + 16*a^2*c^2 + b^3*c*d^2 - 8*a*b^2*c - 7*a*b*c^2*d^2))/(a^6*f^3*(4*a*c - b^2)^6) - (2*b^3*c^5*d*e^15*x*(7*a*c - b^2)^3)/(a^6*f^3*(4*a*c - b^2)^6)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) + log(d + e*x)/(a^3*e*f) - (b*atan((x*((((((b*((2*(5120*a^10*b*c^9*d*e^17*f^2 + 2*a^4*b^13*c^3*d*e^17*f^2 - 36*a^5*b^11*c^4*d*e^17*f^2 + 276*a^6*b^9*c^5*d*e^17*f^2 - 1216*a^7*b^7*c^6*d*e^17*f^2 + 3456*a^8*b^5*c^7*d*e^17*f^2 - 6144*a^9*b^3*c^8*d*e^17*f^2))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/((4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) - (b*((2*(6*a^2*b^11*c^4*d*e^16*f - 137*a^3*b^9*c^5*d*e^16*f + 1217*a^4*b^7*c^6*d*e^16*f - 5256*a^5*b^5*c^7*d*e^16*f + 11024*a^6*b^3*c^8*d*e^16*f - 8960*a^7*b*c^9*d*e^16*f))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - (((2*(5120*a^10*b*c^9*d*e^17*f^2 + 2*a^4*b^13*c^3*d*e^17*f^2 - 36*a^5*b^11*c^4*d*e^17*f^2 + 276*a^6*b^9*c^5*d*e^17*f^2 - 1216*a^7*b^7*c^6*d*e^17*f^2 + 3456*a^8*b^5*c^7*d*e^17*f^2 - 6144*a^9*b^3*c^8*d*e^17*f^2))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/((4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/(32*a^9*e^3*f^3*(4*a*c - b^2)^(15/2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) + (3*b*((2*(b^9*c^5*d*e^15 - 21*a*b^7*c^6*d*e^15 + 147*a^2*b^5*c^7*d*e^15 - 343*a^3*b^3*c^8*d*e^15))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - (((2*(6*a^2*b^11*c^4*d*e^16*f - 137*a^3*b^9*c^5*d*e^16*f + 1217*a^4*b^7*c^6*d*e^16*f - 5256*a^5*b^5*c^7*d*e^16*f + 11024*a^6*b^3*c^8*d*e^16*f - 8960*a^7*b*c^9*d*e^16*f))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - (((2*(5120*a^10*b*c^9*d*e^17*f^2 + 2*a^4*b^13*c^3*d*e^17*f^2 - 36*a^5*b^11*c^4*d*e^17*f^2 + 276*a^6*b^9*c^5*d*e^17*f^2 - 1216*a^7*b^7*c^6*d*e^17*f^2 + 3456*a^8*b^5*c^7*d*e^17*f^2 - 6144*a^9*b^3*c^8*d*e^17*f^2))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/((4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) - (b*((b*((2*(5120*a^10*b*c^9*d*e^17*f^2 + 2*a^4*b^13*c^3*d*e^17*f^2 - 36*a^5*b^11*c^4*d*e^17*f^2 + 276*a^6*b^9*c^5*d*e^17*f^2 - 1216*a^7*b^7*c^6*d*e^17*f^2 + 3456*a^8*b^5*c^7*d*e^17*f^2 - 6144*a^9*b^3*c^8*d*e^17*f^2))/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/((4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) - (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(163840*a^13*b*c^9*d*e^18*f^3 - 12*a^6*b^15*c^2*d*e^18*f^3 + 328*a^7*b^13*c^3*d*e^18*f^3 - 3840*a^8*b^11*c^4*d*e^18*f^3 + 24960*a^9*b^9*c^5*d*e^18*f^3 - 97280*a^10*b^7*c^6*d*e^18*f^3 + 227328*a^11*b^5*c^7*d*e^18*f^3 - 294912*a^12*b^3*c^8*d*e^18*f^3))/(16*a^6*e^2*f^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(16*a^9*b^12*f^3*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*f^3*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*f^3*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*f^3*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*f^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*f^3*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*f^3*(4*a*c - b^2)^(15/2)))/(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14) + (x^2*((((((b*((2*a^4*b^13*c^3*e^18*f^2 - 36*a^5*b^11*c^4*e^18*f^2 + 276*a^6*b^9*c^5*e^18*f^2 - 1216*a^7*b^7*c^6*e^18*f^2 + 3456*a^8*b^5*c^7*e^18*f^2 - 6144*a^9*b^3*c^8*e^18*f^2 + 5120*a^10*b*c^9*e^18*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(8*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) + (b*((8960*a^7*b*c^9*e^17*f - 6*a^2*b^11*c^4*e^17*f + 137*a^3*b^9*c^5*e^17*f - 1217*a^4*b^7*c^6*e^17*f + 5256*a^5*b^5*c^7*e^17*f - 11024*a^6*b^3*c^8*e^17*f)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + (((2*a^4*b^13*c^3*e^18*f^2 - 36*a^5*b^11*c^4*e^18*f^2 + 276*a^6*b^9*c^5*e^18*f^2 - 1216*a^7*b^7*c^6*e^18*f^2 + 3456*a^8*b^5*c^7*e^18*f^2 - 6144*a^9*b^3*c^8*e^18*f^2 + 5120*a^10*b*c^9*e^18*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) - (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(64*a^9*e^3*f^3*(4*a*c - b^2)^(15/2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) + (3*b*((b^9*c^5*e^16 - 21*a*b^7*c^6*e^16 + 147*a^2*b^5*c^7*e^16 - 343*a^3*b^3*c^8*e^16)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + (((8960*a^7*b*c^9*e^17*f - 6*a^2*b^11*c^4*e^17*f + 137*a^3*b^9*c^5*e^17*f - 1217*a^4*b^7*c^6*e^17*f + 5256*a^5*b^5*c^7*e^17*f - 11024*a^6*b^3*c^8*e^17*f)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + (((2*a^4*b^13*c^3*e^18*f^2 - 36*a^5*b^11*c^4*e^18*f^2 + 276*a^6*b^9*c^5*e^18*f^2 - 1216*a^7*b^7*c^6*e^18*f^2 + 3456*a^8*b^5*c^7*e^18*f^2 - 6144*a^9*b^3*c^8*e^18*f^2 + 5120*a^10*b*c^9*e^18*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) - (b*((b*((2*a^4*b^13*c^3*e^18*f^2 - 36*a^5*b^11*c^4*e^18*f^2 + 276*a^6*b^9*c^5*e^18*f^2 - 1216*a^7*b^7*c^6*e^18*f^2 + 3456*a^8*b^5*c^7*e^18*f^2 - 6144*a^9*b^3*c^8*e^18*f^2 + 5120*a^10*b*c^9*e^18*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(8*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) - (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(12*a^6*b^15*c^2*e^19*f^3 - 328*a^7*b^13*c^3*e^19*f^3 + 3840*a^8*b^11*c^4*e^19*f^3 - 24960*a^9*b^9*c^5*e^19*f^3 + 97280*a^10*b^7*c^6*e^19*f^3 - 227328*a^11*b^5*c^7*e^19*f^3 + 294912*a^12*b^3*c^8*e^19*f^3 - 163840*a^13*b*c^9*e^19*f^3))/(32*a^6*e^2*f^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(16*a^9*b^12*f^3*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*f^3*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*f^3*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*f^3*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*f^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*f^3*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*f^3*(4*a*c - b^2)^(15/2)))/(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14) - (((b*((4*a^2*b^12*c^3*e^15*f - 93*a^3*b^10*c^4*e^15*f + 854*a^4*b^8*c^5*e^15*f - 3889*a^5*b^6*c^6*e^15*f + 8808*a^6*b^4*c^7*e^15*f - 7952*a^7*b^2*c^8*e^15*f - 8960*a^7*b*c^9*d^2*e^15*f + 6*a^2*b^11*c^4*d^2*e^15*f - 137*a^3*b^9*c^5*d^2*e^15*f + 1217*a^4*b^7*c^6*d^2*e^15*f - 5256*a^5*b^5*c^7*d^2*e^15*f + 11024*a^6*b^3*c^8*d^2*e^15*f)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - (((4*a^4*b^14*c^2*e^16*f^2 - 100*a^5*b^12*c^3*e^16*f^2 + 1052*a^6*b^10*c^4*e^16*f^2 - 5952*a^7*b^8*c^5*e^16*f^2 + 19072*a^8*b^6*c^6*e^16*f^2 - 32768*a^9*b^4*c^7*e^16*f^2 + 23552*a^10*b^2*c^8*e^16*f^2 + 5120*a^10*b*c^9*d^2*e^16*f^2 + 2*a^4*b^13*c^3*d^2*e^16*f^2 - 36*a^5*b^11*c^4*d^2*e^16*f^2 + 276*a^6*b^9*c^5*d^2*e^16*f^2 - 1216*a^7*b^7*c^6*d^2*e^16*f^2 + 3456*a^8*b^5*c^7*d^2*e^16*f^2 - 6144*a^9*b^3*c^8*d^2*e^16*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) - (((b*((4*a^4*b^14*c^2*e^16*f^2 - 100*a^5*b^12*c^3*e^16*f^2 + 1052*a^6*b^10*c^4*e^16*f^2 - 5952*a^7*b^8*c^5*e^16*f^2 + 19072*a^8*b^6*c^6*e^16*f^2 - 32768*a^9*b^4*c^7*e^16*f^2 + 23552*a^10*b^2*c^8*e^16*f^2 + 5120*a^10*b*c^9*d^2*e^16*f^2 + 2*a^4*b^13*c^3*d^2*e^16*f^2 - 36*a^5*b^11*c^4*d^2*e^16*f^2 + 276*a^6*b^9*c^5*d^2*e^16*f^2 - 1216*a^7*b^7*c^6*d^2*e^16*f^2 + 3456*a^8*b^5*c^7*d^2*e^16*f^2 - 6144*a^9*b^3*c^8*d^2*e^16*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(8*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) + (b^3*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^3*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(64*a^9*e^3*f^3*(4*a*c - b^2)^(15/2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(3*b^8 + 160*a^4*c^4 + 180*a^2*b^4*c^2 - 325*a^3*b^2*c^3 - 39*a*b^6*c)*(16*a^9*b^12*f^3*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*f^3*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*f^3*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*f^3*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*f^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*f^3*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*f^3*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)) - (3*b*((((4*a^2*b^12*c^3*e^15*f - 93*a^3*b^10*c^4*e^15*f + 854*a^4*b^8*c^5*e^15*f - 3889*a^5*b^6*c^6*e^15*f + 8808*a^6*b^4*c^7*e^15*f - 7952*a^7*b^2*c^8*e^15*f - 8960*a^7*b*c^9*d^2*e^15*f + 6*a^2*b^11*c^4*d^2*e^15*f - 137*a^3*b^9*c^5*d^2*e^15*f + 1217*a^4*b^7*c^6*d^2*e^15*f - 5256*a^5*b^5*c^7*d^2*e^15*f + 11024*a^6*b^3*c^8*d^2*e^15*f)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) - (((4*a^4*b^14*c^2*e^16*f^2 - 100*a^5*b^12*c^3*e^16*f^2 + 1052*a^6*b^10*c^4*e^16*f^2 - 5952*a^7*b^8*c^5*e^16*f^2 + 19072*a^8*b^6*c^6*e^16*f^2 - 32768*a^9*b^4*c^7*e^16*f^2 + 23552*a^10*b^2*c^8*e^16*f^2 + 5120*a^10*b*c^9*d^2*e^16*f^2 + 2*a^4*b^13*c^3*d^2*e^16*f^2 - 36*a^5*b^11*c^4*d^2*e^16*f^2 + 276*a^6*b^9*c^5*d^2*e^16*f^2 - 1216*a^7*b^7*c^6*d^2*e^16*f^2 + 3456*a^8*b^5*c^7*d^2*e^16*f^2 - 6144*a^9*b^3*c^8*d^2*e^16*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)))*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)) - (b^10*c^4*e^14 - 22*a*b^8*c^5*e^14 + 177*a^2*b^6*c^6*e^14 - 616*a^3*b^4*c^7*e^14 + 784*a^4*b^2*c^8*e^14 + b^9*c^5*d^2*e^14 + 147*a^2*b^5*c^7*d^2*e^14 - 343*a^3*b^3*c^8*d^2*e^14 - 21*a*b^7*c^6*d^2*e^14)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + (b*((b*((4*a^4*b^14*c^2*e^16*f^2 - 100*a^5*b^12*c^3*e^16*f^2 + 1052*a^6*b^10*c^4*e^16*f^2 - 5952*a^7*b^8*c^5*e^16*f^2 + 19072*a^8*b^6*c^6*e^16*f^2 - 32768*a^9*b^4*c^7*e^16*f^2 + 23552*a^10*b^2*c^8*e^16*f^2 + 5120*a^10*b*c^9*d^2*e^16*f^2 + 2*a^4*b^13*c^3*d^2*e^16*f^2 - 36*a^5*b^11*c^4*d^2*e^16*f^2 + 276*a^6*b^9*c^5*d^2*e^16*f^2 - 1216*a^7*b^7*c^6*d^2*e^16*f^2 + 3456*a^8*b^5*c^7*d^2*e^16*f^2 - 6144*a^9*b^3*c^8*d^2*e^16*f^2)/(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3) + ((2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(2*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(8*a^3*e*f*(4*a*c - b^2)^(5/2)*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(4*a^3*e*f*(4*a*c - b^2)^(5/2)) + (b^2*(b^4 + 30*a^2*c^2 - 10*a*b^2*c)^2*(2*b^10*e*f - 2048*a^5*c^5*e*f + 320*a^2*b^6*c^2*e*f - 1280*a^3*b^4*c^3*e*f + 2560*a^4*b^2*c^4*e*f - 40*a*b^8*c*e*f)*(4*a^7*b^14*c^2*e^17*f^3 - 96*a^8*b^12*c^3*e^17*f^3 + 960*a^9*b^10*c^4*e^17*f^3 - 5120*a^10*b^8*c^5*e^17*f^3 + 15360*a^11*b^6*c^6*e^17*f^3 - 24576*a^12*b^4*c^7*e^17*f^3 + 16384*a^13*b^2*c^8*e^17*f^3 - 163840*a^13*b*c^9*d^2*e^17*f^3 + 12*a^6*b^15*c^2*d^2*e^17*f^3 - 328*a^7*b^13*c^3*d^2*e^17*f^3 + 3840*a^8*b^11*c^4*d^2*e^17*f^3 - 24960*a^9*b^9*c^5*d^2*e^17*f^3 + 97280*a^10*b^7*c^6*d^2*e^17*f^3 - 227328*a^11*b^5*c^7*d^2*e^17*f^3 + 294912*a^12*b^3*c^8*d^2*e^17*f^3))/(32*a^6*e^2*f^2*(4*a*c - b^2)^5*(4*a^3*b^10*e^2*f^2 - 4096*a^8*c^5*e^2*f^2 + 640*a^5*b^6*c^2*e^2*f^2 - 2560*a^6*b^4*c^3*e^2*f^2 + 5120*a^7*b^2*c^4*e^2*f^2 - 80*a^4*b^8*c*e^2*f^2)*(a^6*b^12*f^3 + 4096*a^12*c^6*f^3 - 24*a^7*b^10*c*f^3 + 240*a^8*b^8*c^2*f^3 - 1280*a^9*b^6*c^3*f^3 + 3840*a^10*b^4*c^4*f^3 - 6144*a^11*b^2*c^5*f^3)))*(b^6 - 45*a^3*c^3 + 40*a^2*b^2*c^2 - 11*a*b^4*c)*(16*a^9*b^12*f^3*(4*a*c - b^2)^(15/2) + 65536*a^15*c^6*f^3*(4*a*c - b^2)^(15/2) - 384*a^10*b^10*c*f^3*(4*a*c - b^2)^(15/2) + 3840*a^11*b^8*c^2*f^3*(4*a*c - b^2)^(15/2) - 20480*a^12*b^6*c^3*f^3*(4*a*c - b^2)^(15/2) + 61440*a^13*b^4*c^4*f^3*(4*a*c - b^2)^(15/2) - 98304*a^14*b^2*c^5*f^3*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^6*(b^10*c^2*e^14 - 20*a*b^8*c^3*e^14 + 160*a^2*b^6*c^4*e^14 - 600*a^3*b^4*c^5*e^14 + 900*a^4*b^2*c^6*e^14)*(6*b^10 - 6400*a^5*c^5 + 960*a^2*b^6*c^2 - 3850*a^3*b^4*c^3 + 7775*a^4*b^2*c^4 - 120*a*b^8*c)))*(b^4 + 30*a^2*c^2 - 10*a*b^2*c))/(2*a^3*e*f*(4*a*c - b^2)^(5/2))","B"
659,1,20580,499,15.397533,"\text{Not used}","int(1/((d*f + e*f*x)^2*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","-\frac{\frac{x^4\,\left(324\,a^3\,c^3\,e^3+25\,a^2\,b^2\,c^2\,e^3+5880\,a^2\,b\,c^3\,d^2\,e^3+12600\,a^2\,c^4\,d^4\,e^3-91\,a\,b^4\,c\,e^3-3405\,a\,b^3\,c^2\,d^2\,e^3-7770\,a\,b^2\,c^3\,d^4\,e^3+15\,b^6\,e^3+450\,b^5\,c\,d^2\,e^3+1050\,b^4\,c^2\,d^4\,e^3\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^6\,\left(392\,a^2\,b\,c^3\,e^5+5040\,a^2\,c^4\,d^2\,e^5-227\,a\,b^3\,c^2\,e^5-3108\,a\,b^2\,c^3\,d^2\,e^5+30\,b^5\,c\,e^5+420\,b^4\,c^2\,d^2\,e^5\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x\,\left(364\,a^3\,b\,c^2\,d+648\,a^3\,c^3\,d^3-194\,a^2\,b^3\,c\,d+50\,a^2\,b^2\,c^2\,d^3+1176\,a^2\,b\,c^3\,d^5+720\,a^2\,c^4\,d^7+25\,a\,b^5\,d-182\,a\,b^4\,c\,d^3-681\,a\,b^3\,c^2\,d^5-444\,a\,b^2\,c^3\,d^7+30\,b^6\,d^3+90\,b^5\,c\,d^5+60\,b^4\,c^2\,d^7\right)}{4\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^5\,\left(392\,a^2\,b\,c^3\,d\,e^4+1680\,a^2\,c^4\,d^3\,e^4-227\,a\,b^3\,c^2\,d\,e^4-1036\,a\,b^2\,c^3\,d^3\,e^4+30\,b^5\,c\,d\,e^4+140\,b^4\,c^2\,d^3\,e^4\right)}{4\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^8\,\left(60\,a^2\,c^4\,e^7-37\,a\,b^2\,c^3\,e^7+5\,b^4\,c^2\,e^7\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^2\,\left(364\,e\,a^3\,b\,c^2+1944\,e\,a^3\,c^3\,d^2-194\,e\,a^2\,b^3\,c+150\,e\,a^2\,b^2\,c^2\,d^2+5880\,e\,a^2\,b\,c^3\,d^4+5040\,e\,a^2\,c^4\,d^6+25\,e\,a\,b^5-546\,e\,a\,b^4\,c\,d^2-3405\,e\,a\,b^3\,c^2\,d^4-3108\,e\,a\,b^2\,c^3\,d^6+90\,e\,b^6\,d^2+450\,e\,b^5\,c\,d^4+420\,e\,b^4\,c^2\,d^6\right)}{8\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{x^3\,\left(324\,a^3\,c^3\,d\,e^2+25\,a^2\,b^2\,c^2\,d\,e^2+1960\,a^2\,b\,c^3\,d^3\,e^2+2520\,a^2\,c^4\,d^5\,e^2-91\,a\,b^4\,c\,d\,e^2-1135\,a\,b^3\,c^2\,d^3\,e^2-1554\,a\,b^2\,c^3\,d^5\,e^2+15\,b^6\,d\,e^2+150\,b^5\,c\,d^3\,e^2+210\,b^4\,c^2\,d^5\,e^2\right)}{2\,a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{3\,x^7\,\left(60\,d\,a^2\,c^4\,e^6-37\,d\,a\,b^2\,c^3\,e^6+5\,d\,b^4\,c^2\,e^6\right)}{a\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}+\frac{128\,a^4\,c^2-64\,a^3\,b^2\,c+364\,a^3\,b\,c^2\,d^2+324\,a^3\,c^3\,d^4+8\,a^2\,b^4-194\,a^2\,b^3\,c\,d^2+25\,a^2\,b^2\,c^2\,d^4+392\,a^2\,b\,c^3\,d^6+180\,a^2\,c^4\,d^8+25\,a\,b^5\,d^2-91\,a\,b^4\,c\,d^4-227\,a\,b^3\,c^2\,d^6-111\,a\,b^2\,c^3\,d^8+15\,b^6\,d^4+30\,b^5\,c\,d^6+15\,b^4\,c^2\,d^8}{8\,a\,e\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}}{x^3\,\left(10\,b^2\,d^2\,e^3\,f^2+70\,b\,c\,d^4\,e^3\,f^2+2\,a\,b\,e^3\,f^2+84\,c^2\,d^6\,e^3\,f^2+20\,a\,c\,d^2\,e^3\,f^2\right)+x^6\,\left(84\,c^2\,d^3\,e^6\,f^2+14\,b\,c\,d\,e^6\,f^2\right)+x^2\,\left(10\,b^2\,d^3\,e^2\,f^2+42\,b\,c\,d^5\,e^2\,f^2+6\,a\,b\,d\,e^2\,f^2+36\,c^2\,d^7\,e^2\,f^2+20\,a\,c\,d^3\,e^2\,f^2\right)+x^4\,\left(5\,b^2\,d\,e^4\,f^2+70\,b\,c\,d^3\,e^4\,f^2+126\,c^2\,d^5\,e^4\,f^2+10\,a\,c\,d\,e^4\,f^2\right)+x^7\,\left(36\,c^2\,d^2\,e^7\,f^2+2\,b\,c\,e^7\,f^2\right)+x^5\,\left(b^2\,e^5\,f^2+42\,b\,c\,d^2\,e^5\,f^2+126\,c^2\,d^4\,e^5\,f^2+2\,a\,c\,e^5\,f^2\right)+x\,\left(e\,a^2\,f^2+6\,e\,a\,b\,d^2\,f^2+10\,e\,a\,c\,d^4\,f^2+5\,e\,b^2\,d^4\,f^2+14\,e\,b\,c\,d^6\,f^2+9\,e\,c^2\,d^8\,f^2\right)+a^2\,d\,f^2+b^2\,d^5\,f^2+c^2\,d^9\,f^2+c^2\,e^9\,f^2\,x^9+2\,a\,b\,d^3\,f^2+2\,a\,c\,d^5\,f^2+2\,b\,c\,d^7\,f^2+9\,c^2\,d\,e^8\,f^2\,x^8}-\mathrm{atan}\left(\frac{\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9+225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c-694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2\,f^4-2621440\,a^{16}\,b^2\,c^9\,e^2\,f^4+2949120\,a^{15}\,b^4\,c^8\,e^2\,f^4-1966080\,a^{14}\,b^6\,c^7\,e^2\,f^4+860160\,a^{13}\,b^8\,c^6\,e^2\,f^4-258048\,a^{12}\,b^{10}\,c^5\,e^2\,f^4+53760\,a^{11}\,b^{12}\,c^4\,e^2\,f^4-7680\,a^{10}\,b^{14}\,c^3\,e^2\,f^4+720\,a^9\,b^{16}\,c^2\,e^2\,f^4-40\,a^8\,b^{18}\,c\,e^2\,f^4+a^7\,b^{20}\,e^2\,f^4\right)}}\,\left(x\,\left(271790899200\,a^{20}\,c^{14}\,e^{12}\,f^6-1101055131648\,a^{19}\,b^2\,c^{13}\,e^{12}\,f^6+1747313491968\,a^{18}\,b^4\,c^{12}\,e^{12}\,f^6-1543847804928\,a^{17}\,b^6\,c^{11}\,e^{12}\,f^6+869815812096\,a^{16}\,b^8\,c^{10}\,e^{12}\,f^6-333226967040\,a^{15}\,b^{10}\,c^9\,e^{12}\,f^6+89374851072\,a^{14}\,b^{12}\,c^8\,e^{12}\,f^6-16878108672\,a^{13}\,b^{14}\,c^7\,e^{12}\,f^6+2207803392\,a^{12}\,b^{16}\,c^6\,e^{12}\,f^6-191038464\,a^{11}\,b^{18}\,c^5\,e^{12}\,f^6+9861120\,a^{10}\,b^{20}\,c^4\,e^{12}\,f^6-230400\,a^9\,b^{22}\,c^3\,e^{12}\,f^6\right)-\sqrt{-\frac{9\,\left(25\,b^{21}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^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\,a^8\,b^{18}\,c\,e^2\,f^4+a^7\,b^{20}\,e^2\,f^4\right)}}\,\left(x\,\left(271790899200\,a^{20}\,c^{14}\,e^{12}\,f^6-1101055131648\,a^{19}\,b^2\,c^{13}\,e^{12}\,f^6+1747313491968\,a^{18}\,b^4\,c^{12}\,e^{12}\,f^6-1543847804928\,a^{17}\,b^6\,c^{11}\,e^{12}\,f^6+869815812096\,a^{16}\,b^8\,c^{10}\,e^{12}\,f^6-333226967040\,a^{15}\,b^{10}\,c^9\,e^{12}\,f^6+89374851072\,a^{14}\,b^{12}\,c^8\,e^{12}\,f^6-16878108672\,a^{13}\,b^{14}\,c^7\,e^{12}\,f^6+2207803392\,a^{12}\,b^{16}\,c^6\,e^{12}\,f^6-191038464\,a^{11}\,b^{18}\,c^5\,e^{12}\,f^6+9861120\,a^{10}\,b^{20}\,c^4\,e^{12}\,f^6-230400\,a^9\,b^{22}\,c^3\,e^{12}\,f^6\right)-\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2\,f^4-2621440\,a^{16}\,b^2\,c^9\,e^2\,f^4+2949120\,a^{15}\,b^4\,c^8\,e^2\,f^4-1966080\,a^{14}\,b^6\,c^7\,e^2\,f^4+860160\,a^{13}\,b^8\,c^6\,e^2\,f^4-258048\,a^{12}\,b^{10}\,c^5\,e^2\,f^4+53760\,a^{11}\,b^{12}\,c^4\,e^2\,f^4-7680\,a^{10}\,b^{14}\,c^3\,e^2\,f^4+720\,a^9\,b^{16}\,c^2\,e^2\,f^4-40\,a^8\,b^{18}\,c\,e^2\,f^4+a^7\,b^{20}\,e^2\,f^4\right)}}\,\left(\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2\,f^4-2621440\,a^{16}\,b^2\,c^9\,e^2\,f^4+2949120\,a^{15}\,b^4\,c^8\,e^2\,f^4-1966080\,a^{14}\,b^6\,c^7\,e^2\,f^4+860160\,a^{13}\,b^8\,c^6\,e^2\,f^4-258048\,a^{12}\,b^{10}\,c^5\,e^2\,f^4+53760\,a^{11}\,b^{12}\,c^4\,e^2\,f^4-7680\,a^{10}\,b^{14}\,c^3\,e^2\,f^4+720\,a^9\,b^{16}\,c^2\,e^2\,f^4-40\,a^8\,b^{18}\,c\,e^2\,f^4+a^7\,b^{20}\,e^2\,f^4\right)}}\,\left(x\,\left(-1099511627776\,a^{26}\,b\,c^{13}\,e^{14}\,f^{10}+3023656976384\,a^{25}\,b^3\,c^{12}\,e^{14}\,f^{10}-3779571220480\,a^{24}\,b^5\,c^{11}\,e^{14}\,f^{10}+2834678415360\,a^{23}\,b^7\,c^{10}\,e^{14}\,f^{10}-1417339207680\,a^{22}\,b^9\,c^9\,e^{14}\,f^{10}+496068722688\,a^{21}\,b^{11}\,c^8\,e^{14}\,f^{10}-124017180672\,a^{20}\,b^{13}\,c^7\,e^{14}\,f^{10}+22145925120\,a^{19}\,b^{15}\,c^6\,e^{14}\,f^{10}-2768240640\,a^{18}\,b^{17}\,c^5\,e^{14}\,f^{10}+230686720\,a^{17}\,b^{19}\,c^4\,e^{14}\,f^{10}-11534336\,a^{16}\,b^{21}\,c^3\,e^{14}\,f^{10}+262144\,a^{15}\,b^{23}\,c^2\,e^{14}\,f^{10}\right)-1099511627776\,a^{26}\,b\,c^{13}\,d\,e^{13}\,f^{10}+262144\,a^{15}\,b^{23}\,c^2\,d\,e^{13}\,f^{10}-11534336\,a^{16}\,b^{21}\,c^3\,d\,e^{13}\,f^{10}+230686720\,a^{17}\,b^{19}\,c^4\,d\,e^{13}\,f^{10}-2768240640\,a^{18}\,b^{17}\,c^5\,d\,e^{13}\,f^{10}+22145925120\,a^{19}\,b^{15}\,c^6\,d\,e^{13}\,f^{10}-124017180672\,a^{20}\,b^{13}\,c^7\,d\,e^{13}\,f^{10}+496068722688\,a^{21}\,b^{11}\,c^8\,d\,e^{13}\,f^{10}-1417339207680\,a^{22}\,b^9\,c^9\,d\,e^{13}\,f^{10}+2834678415360\,a^{23}\,b^7\,c^{10}\,d\,e^{13}\,f^{10}-3779571220480\,a^{24}\,b^5\,c^{11}\,d\,e^{13}\,f^{10}+3023656976384\,a^{25}\,b^3\,c^{12}\,d\,e^{13}\,f^{10}\right)-245760\,a^{12}\,b^{23}\,c^2\,e^{12}\,f^8+10911744\,a^{13}\,b^{21}\,c^3\,e^{12}\,f^8-220397568\,a^{14}\,b^{19}\,c^4\,e^{12}\,f^8+2673082368\,a^{15}\,b^{17}\,c^5\,e^{12}\,f^8-21630025728\,a^{16}\,b^{15}\,c^6\,e^{12}\,f^8+122607894528\,a^{17}\,b^{13}\,c^7\,e^{12}\,f^8-496773365760\,a^{18}\,b^{11}\,c^8\,e^{12}\,f^8+1438679826432\,a^{19}\,b^9\,c^9\,e^{12}\,f^8-2918430277632\,a^{20}\,b^7\,c^{10}\,e^{12}\,f^8+3949222428672\,a^{21}\,b^5\,c^{11}\,e^{12}\,f^8-3208340570112\,a^{22}\,b^3\,c^{12}\,e^{12}\,f^8+1185410973696\,a^{23}\,b\,c^{13}\,e^{12}\,f^8\right)+271790899200\,a^{20}\,c^{14}\,d\,e^{11}\,f^6-230400\,a^9\,b^{22}\,c^3\,d\,e^{11}\,f^6+9861120\,a^{10}\,b^{20}\,c^4\,d\,e^{11}\,f^6-191038464\,a^{11}\,b^{18}\,c^5\,d\,e^{11}\,f^6+2207803392\,a^{12}\,b^{16}\,c^6\,d\,e^{11}\,f^6-16878108672\,a^{13}\,b^{14}\,c^7\,d\,e^{11}\,f^6+89374851072\,a^{14}\,b^{12}\,c^8\,d\,e^{11}\,f^6-333226967040\,a^{15}\,b^{10}\,c^9\,d\,e^{11}\,f^6+869815812096\,a^{16}\,b^8\,c^{10}\,d\,e^{11}\,f^6-1543847804928\,a^{17}\,b^6\,c^{11}\,d\,e^{11}\,f^6+1747313491968\,a^{18}\,b^4\,c^{12}\,d\,e^{11}\,f^6-1101055131648\,a^{19}\,b^2\,c^{13}\,d\,e^{11}\,f^6\right)+191102976000\,a^{17}\,c^{14}\,e^{10}\,f^4+2851200\,a^9\,b^{16}\,c^6\,e^{10}\,f^4-92568960\,a^{10}\,b^{14}\,c^7\,e^{10}\,f^4+1312630272\,a^{11}\,b^{12}\,c^8\,e^{10}\,f^4-10611136512\,a^{12}\,b^{10}\,c^9\,e^{10}\,f^4+53445353472\,a^{13}\,b^8\,c^{10}\,e^{10}\,f^4-171591892992\,a^{14}\,b^6\,c^{11}\,e^{10}\,f^4+342580396032\,a^{15}\,b^4\,c^{12}\,e^{10}\,f^4-388363714560\,a^{16}\,b^2\,c^{13}\,e^{10}\,f^4}\right)\,\sqrt{-\frac{9\,\left(25\,b^{21}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+18923520\,a^{10}\,b\,c^{10}+17794\,a^2\,b^{17}\,c^2-188095\,a^3\,b^{15}\,c^3+1299860\,a^4\,b^{13}\,c^4-6126640\,a^5\,b^{11}\,c^5+19905600\,a^6\,b^9\,c^6-43904256\,a^7\,b^7\,c^7+62684160\,a^8\,b^5\,c^8-52039680\,a^9\,b^3\,c^9-225\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-995\,a\,b^{19}\,c+694\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-245\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{512\,\left(1048576\,a^{17}\,c^{10}\,e^2\,f^4-2621440\,a^{16}\,b^2\,c^9\,e^2\,f^4+2949120\,a^{15}\,b^4\,c^8\,e^2\,f^4-1966080\,a^{14}\,b^6\,c^7\,e^2\,f^4+860160\,a^{13}\,b^8\,c^6\,e^2\,f^4-258048\,a^{12}\,b^{10}\,c^5\,e^2\,f^4+53760\,a^{11}\,b^{12}\,c^4\,e^2\,f^4-7680\,a^{10}\,b^{14}\,c^3\,e^2\,f^4+720\,a^9\,b^{16}\,c^2\,e^2\,f^4-40\,a^8\,b^{18}\,c\,e^2\,f^4+a^7\,b^{20}\,e^2\,f^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) - 245760*a^12*b^23*c^2*e^12*f^8 + 10911744*a^13*b^21*c^3*e^12*f^8 - 220397568*a^14*b^19*c^4*e^12*f^8 + 2673082368*a^15*b^17*c^5*e^12*f^8 - 21630025728*a^16*b^15*c^6*e^12*f^8 + 122607894528*a^17*b^13*c^7*e^12*f^8 - 496773365760*a^18*b^11*c^8*e^12*f^8 + 1438679826432*a^19*b^9*c^9*e^12*f^8 - 2918430277632*a^20*b^7*c^10*e^12*f^8 + 3949222428672*a^21*b^5*c^11*e^12*f^8 - 3208340570112*a^22*b^3*c^12*e^12*f^8 + 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6)*1i + (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) + 245760*a^12*b^23*c^2*e^12*f^8 - 10911744*a^13*b^21*c^3*e^12*f^8 + 220397568*a^14*b^19*c^4*e^12*f^8 - 2673082368*a^15*b^17*c^5*e^12*f^8 + 21630025728*a^16*b^15*c^6*e^12*f^8 - 122607894528*a^17*b^13*c^7*e^12*f^8 + 496773365760*a^18*b^11*c^8*e^12*f^8 - 1438679826432*a^19*b^9*c^9*e^12*f^8 + 2918430277632*a^20*b^7*c^10*e^12*f^8 - 3949222428672*a^21*b^5*c^11*e^12*f^8 + 3208340570112*a^22*b^3*c^12*e^12*f^8 - 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6)*1i)/((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) + 245760*a^12*b^23*c^2*e^12*f^8 - 10911744*a^13*b^21*c^3*e^12*f^8 + 220397568*a^14*b^19*c^4*e^12*f^8 - 2673082368*a^15*b^17*c^5*e^12*f^8 + 21630025728*a^16*b^15*c^6*e^12*f^8 - 122607894528*a^17*b^13*c^7*e^12*f^8 + 496773365760*a^18*b^11*c^8*e^12*f^8 - 1438679826432*a^19*b^9*c^9*e^12*f^8 + 2918430277632*a^20*b^7*c^10*e^12*f^8 - 3949222428672*a^21*b^5*c^11*e^12*f^8 + 3208340570112*a^22*b^3*c^12*e^12*f^8 - 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) - 245760*a^12*b^23*c^2*e^12*f^8 + 10911744*a^13*b^21*c^3*e^12*f^8 - 220397568*a^14*b^19*c^4*e^12*f^8 + 2673082368*a^15*b^17*c^5*e^12*f^8 - 21630025728*a^16*b^15*c^6*e^12*f^8 + 122607894528*a^17*b^13*c^7*e^12*f^8 - 496773365760*a^18*b^11*c^8*e^12*f^8 + 1438679826432*a^19*b^9*c^9*e^12*f^8 - 2918430277632*a^20*b^7*c^10*e^12*f^8 + 3949222428672*a^21*b^5*c^11*e^12*f^8 - 3208340570112*a^22*b^3*c^12*e^12*f^8 + 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6) + 191102976000*a^17*c^14*e^10*f^4 + 2851200*a^9*b^16*c^6*e^10*f^4 - 92568960*a^10*b^14*c^7*e^10*f^4 + 1312630272*a^11*b^12*c^8*e^10*f^4 - 10611136512*a^12*b^10*c^9*e^10*f^4 + 53445353472*a^13*b^8*c^10*e^10*f^4 - 171591892992*a^14*b^6*c^11*e^10*f^4 + 342580396032*a^15*b^4*c^12*e^10*f^4 - 388363714560*a^16*b^2*c^13*e^10*f^4))*(-(9*(25*b^21 - 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 + 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c - 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*2i - atan(((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) - 245760*a^12*b^23*c^2*e^12*f^8 + 10911744*a^13*b^21*c^3*e^12*f^8 - 220397568*a^14*b^19*c^4*e^12*f^8 + 2673082368*a^15*b^17*c^5*e^12*f^8 - 21630025728*a^16*b^15*c^6*e^12*f^8 + 122607894528*a^17*b^13*c^7*e^12*f^8 - 496773365760*a^18*b^11*c^8*e^12*f^8 + 1438679826432*a^19*b^9*c^9*e^12*f^8 - 2918430277632*a^20*b^7*c^10*e^12*f^8 + 3949222428672*a^21*b^5*c^11*e^12*f^8 - 3208340570112*a^22*b^3*c^12*e^12*f^8 + 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6)*1i + (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) + 245760*a^12*b^23*c^2*e^12*f^8 - 10911744*a^13*b^21*c^3*e^12*f^8 + 220397568*a^14*b^19*c^4*e^12*f^8 - 2673082368*a^15*b^17*c^5*e^12*f^8 + 21630025728*a^16*b^15*c^6*e^12*f^8 - 122607894528*a^17*b^13*c^7*e^12*f^8 + 496773365760*a^18*b^11*c^8*e^12*f^8 - 1438679826432*a^19*b^9*c^9*e^12*f^8 + 2918430277632*a^20*b^7*c^10*e^12*f^8 - 3949222428672*a^21*b^5*c^11*e^12*f^8 + 3208340570112*a^22*b^3*c^12*e^12*f^8 - 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6)*1i)/((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) + 245760*a^12*b^23*c^2*e^12*f^8 - 10911744*a^13*b^21*c^3*e^12*f^8 + 220397568*a^14*b^19*c^4*e^12*f^8 - 2673082368*a^15*b^17*c^5*e^12*f^8 + 21630025728*a^16*b^15*c^6*e^12*f^8 - 122607894528*a^17*b^13*c^7*e^12*f^8 + 496773365760*a^18*b^11*c^8*e^12*f^8 - 1438679826432*a^19*b^9*c^9*e^12*f^8 + 2918430277632*a^20*b^7*c^10*e^12*f^8 - 3949222428672*a^21*b^5*c^11*e^12*f^8 + 3208340570112*a^22*b^3*c^12*e^12*f^8 - 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(271790899200*a^20*c^14*e^12*f^6 - 230400*a^9*b^22*c^3*e^12*f^6 + 9861120*a^10*b^20*c^4*e^12*f^6 - 191038464*a^11*b^18*c^5*e^12*f^6 + 2207803392*a^12*b^16*c^6*e^12*f^6 - 16878108672*a^13*b^14*c^7*e^12*f^6 + 89374851072*a^14*b^12*c^8*e^12*f^6 - 333226967040*a^15*b^10*c^9*e^12*f^6 + 869815812096*a^16*b^8*c^10*e^12*f^6 - 1543847804928*a^17*b^6*c^11*e^12*f^6 + 1747313491968*a^18*b^4*c^12*e^12*f^6 - 1101055131648*a^19*b^2*c^13*e^12*f^6) - (-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*((-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*(x*(262144*a^15*b^23*c^2*e^14*f^10 - 11534336*a^16*b^21*c^3*e^14*f^10 + 230686720*a^17*b^19*c^4*e^14*f^10 - 2768240640*a^18*b^17*c^5*e^14*f^10 + 22145925120*a^19*b^15*c^6*e^14*f^10 - 124017180672*a^20*b^13*c^7*e^14*f^10 + 496068722688*a^21*b^11*c^8*e^14*f^10 - 1417339207680*a^22*b^9*c^9*e^14*f^10 + 2834678415360*a^23*b^7*c^10*e^14*f^10 - 3779571220480*a^24*b^5*c^11*e^14*f^10 + 3023656976384*a^25*b^3*c^12*e^14*f^10 - 1099511627776*a^26*b*c^13*e^14*f^10) - 1099511627776*a^26*b*c^13*d*e^13*f^10 + 262144*a^15*b^23*c^2*d*e^13*f^10 - 11534336*a^16*b^21*c^3*d*e^13*f^10 + 230686720*a^17*b^19*c^4*d*e^13*f^10 - 2768240640*a^18*b^17*c^5*d*e^13*f^10 + 22145925120*a^19*b^15*c^6*d*e^13*f^10 - 124017180672*a^20*b^13*c^7*d*e^13*f^10 + 496068722688*a^21*b^11*c^8*d*e^13*f^10 - 1417339207680*a^22*b^9*c^9*d*e^13*f^10 + 2834678415360*a^23*b^7*c^10*d*e^13*f^10 - 3779571220480*a^24*b^5*c^11*d*e^13*f^10 + 3023656976384*a^25*b^3*c^12*d*e^13*f^10) - 245760*a^12*b^23*c^2*e^12*f^8 + 10911744*a^13*b^21*c^3*e^12*f^8 - 220397568*a^14*b^19*c^4*e^12*f^8 + 2673082368*a^15*b^17*c^5*e^12*f^8 - 21630025728*a^16*b^15*c^6*e^12*f^8 + 122607894528*a^17*b^13*c^7*e^12*f^8 - 496773365760*a^18*b^11*c^8*e^12*f^8 + 1438679826432*a^19*b^9*c^9*e^12*f^8 - 2918430277632*a^20*b^7*c^10*e^12*f^8 + 3949222428672*a^21*b^5*c^11*e^12*f^8 - 3208340570112*a^22*b^3*c^12*e^12*f^8 + 1185410973696*a^23*b*c^13*e^12*f^8) + 271790899200*a^20*c^14*d*e^11*f^6 - 230400*a^9*b^22*c^3*d*e^11*f^6 + 9861120*a^10*b^20*c^4*d*e^11*f^6 - 191038464*a^11*b^18*c^5*d*e^11*f^6 + 2207803392*a^12*b^16*c^6*d*e^11*f^6 - 16878108672*a^13*b^14*c^7*d*e^11*f^6 + 89374851072*a^14*b^12*c^8*d*e^11*f^6 - 333226967040*a^15*b^10*c^9*d*e^11*f^6 + 869815812096*a^16*b^8*c^10*d*e^11*f^6 - 1543847804928*a^17*b^6*c^11*d*e^11*f^6 + 1747313491968*a^18*b^4*c^12*d*e^11*f^6 - 1101055131648*a^19*b^2*c^13*d*e^11*f^6) + 191102976000*a^17*c^14*e^10*f^4 + 2851200*a^9*b^16*c^6*e^10*f^4 - 92568960*a^10*b^14*c^7*e^10*f^4 + 1312630272*a^11*b^12*c^8*e^10*f^4 - 10611136512*a^12*b^10*c^9*e^10*f^4 + 53445353472*a^13*b^8*c^10*e^10*f^4 - 171591892992*a^14*b^6*c^11*e^10*f^4 + 342580396032*a^15*b^4*c^12*e^10*f^4 - 388363714560*a^16*b^2*c^13*e^10*f^4))*(-(9*(25*b^21 + 25*b^6*(-(4*a*c - b^2)^15)^(1/2) + 18923520*a^10*b*c^10 + 17794*a^2*b^17*c^2 - 188095*a^3*b^15*c^3 + 1299860*a^4*b^13*c^4 - 6126640*a^5*b^11*c^5 + 19905600*a^6*b^9*c^6 - 43904256*a^7*b^7*c^7 + 62684160*a^8*b^5*c^8 - 52039680*a^9*b^3*c^9 - 225*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - 995*a*b^19*c + 694*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 245*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2)))/(512*(a^7*b^20*e^2*f^4 + 1048576*a^17*c^10*e^2*f^4 + 720*a^9*b^16*c^2*e^2*f^4 - 7680*a^10*b^14*c^3*e^2*f^4 + 53760*a^11*b^12*c^4*e^2*f^4 - 258048*a^12*b^10*c^5*e^2*f^4 + 860160*a^13*b^8*c^6*e^2*f^4 - 1966080*a^14*b^6*c^7*e^2*f^4 + 2949120*a^15*b^4*c^8*e^2*f^4 - 2621440*a^16*b^2*c^9*e^2*f^4 - 40*a^8*b^18*c*e^2*f^4)))^(1/2)*2i - ((x^4*(15*b^6*e^3 + 324*a^3*c^3*e^3 + 450*b^5*c*d^2*e^3 + 25*a^2*b^2*c^2*e^3 + 12600*a^2*c^4*d^4*e^3 + 1050*b^4*c^2*d^4*e^3 - 91*a*b^4*c*e^3 - 3405*a*b^3*c^2*d^2*e^3 + 5880*a^2*b*c^3*d^2*e^3 - 7770*a*b^2*c^3*d^4*e^3))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^6*(30*b^5*c*e^5 - 227*a*b^3*c^2*e^5 + 392*a^2*b*c^3*e^5 + 5040*a^2*c^4*d^2*e^5 + 420*b^4*c^2*d^2*e^5 - 3108*a*b^2*c^3*d^2*e^5))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x*(30*b^6*d^3 + 90*b^5*c*d^5 + 648*a^3*c^3*d^3 + 720*a^2*c^4*d^7 + 60*b^4*c^2*d^7 + 25*a*b^5*d - 681*a*b^3*c^2*d^5 + 1176*a^2*b*c^3*d^5 - 444*a*b^2*c^3*d^7 + 50*a^2*b^2*c^2*d^3 - 194*a^2*b^3*c*d + 364*a^3*b*c^2*d - 182*a*b^4*c*d^3))/(4*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^5*(1680*a^2*c^4*d^3*e^4 + 140*b^4*c^2*d^3*e^4 + 30*b^5*c*d*e^4 - 227*a*b^3*c^2*d*e^4 + 392*a^2*b*c^3*d*e^4 - 1036*a*b^2*c^3*d^3*e^4))/(4*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^8*(60*a^2*c^4*e^7 + 5*b^4*c^2*e^7 - 37*a*b^2*c^3*e^7))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^2*(90*b^6*d^2*e + 25*a*b^5*e + 1944*a^3*c^3*d^2*e + 5040*a^2*c^4*d^6*e + 420*b^4*c^2*d^6*e - 194*a^2*b^3*c*e + 364*a^3*b*c^2*e + 450*b^5*c*d^4*e - 546*a*b^4*c*d^2*e - 3405*a*b^3*c^2*d^4*e + 5880*a^2*b*c^3*d^4*e - 3108*a*b^2*c^3*d^6*e + 150*a^2*b^2*c^2*d^2*e))/(8*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (x^3*(15*b^6*d*e^2 + 324*a^3*c^3*d*e^2 + 150*b^5*c*d^3*e^2 + 2520*a^2*c^4*d^5*e^2 + 210*b^4*c^2*d^5*e^2 - 91*a*b^4*c*d*e^2 + 25*a^2*b^2*c^2*d*e^2 - 1135*a*b^3*c^2*d^3*e^2 + 1960*a^2*b*c^3*d^3*e^2 - 1554*a*b^2*c^3*d^5*e^2))/(2*a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (3*x^7*(60*a^2*c^4*d*e^6 + 5*b^4*c^2*d*e^6 - 37*a*b^2*c^3*d*e^6))/(a*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)) + (8*a^2*b^4 + 128*a^4*c^2 + 15*b^6*d^4 - 64*a^3*b^2*c + 25*a*b^5*d^2 + 30*b^5*c*d^6 + 324*a^3*c^3*d^4 + 180*a^2*c^4*d^8 + 15*b^4*c^2*d^8 - 194*a^2*b^3*c*d^2 + 364*a^3*b*c^2*d^2 - 227*a*b^3*c^2*d^6 + 392*a^2*b*c^3*d^6 - 111*a*b^2*c^3*d^8 + 25*a^2*b^2*c^2*d^4 - 91*a*b^4*c*d^4)/(8*a*e*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))/(x^3*(10*b^2*d^2*e^3*f^2 + 84*c^2*d^6*e^3*f^2 + 2*a*b*e^3*f^2 + 20*a*c*d^2*e^3*f^2 + 70*b*c*d^4*e^3*f^2) + x^6*(84*c^2*d^3*e^6*f^2 + 14*b*c*d*e^6*f^2) + x^2*(10*b^2*d^3*e^2*f^2 + 36*c^2*d^7*e^2*f^2 + 6*a*b*d*e^2*f^2 + 20*a*c*d^3*e^2*f^2 + 42*b*c*d^5*e^2*f^2) + x^4*(5*b^2*d*e^4*f^2 + 126*c^2*d^5*e^4*f^2 + 10*a*c*d*e^4*f^2 + 70*b*c*d^3*e^4*f^2) + x^7*(36*c^2*d^2*e^7*f^2 + 2*b*c*e^7*f^2) + x^5*(b^2*e^5*f^2 + 126*c^2*d^4*e^5*f^2 + 2*a*c*e^5*f^2 + 42*b*c*d^2*e^5*f^2) + x*(a^2*e*f^2 + 5*b^2*d^4*e*f^2 + 9*c^2*d^8*e*f^2 + 6*a*b*d^2*e*f^2 + 10*a*c*d^4*e*f^2 + 14*b*c*d^6*e*f^2) + a^2*d*f^2 + b^2*d^5*f^2 + c^2*d^9*f^2 + c^2*e^9*f^2*x^9 + 2*a*b*d^3*f^2 + 2*a*c*d^5*f^2 + 2*b*c*d^7*f^2 + 9*c^2*d*e^8*f^2*x^8)","B"
660,1,25334,343,24.911764,"\text{Not used}","int(1/((d*f + e*f*x)^3*(a + b*(d + e*x)^2 + c*(d + e*x)^4)^3),x)","\frac{\ln\left(\left(\frac{27\,c^5\,e^{16}\,x^2\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}-\frac{\left(3\,b-3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{9\,c^3\,e^{15}\,\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(-10\,a^3\,c^3+71\,a^2\,b^2\,c^2+90\,a^2\,b\,c^3\,d^2-33\,a\,b^4\,c-47\,a\,b^3\,c^2\,d^2+4\,b^6+6\,b^5\,c\,d^2\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}-\frac{\left(3\,b-3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{6\,c^2\,e^{16}\,\left(-20\,a^3\,b\,c^3+100\,a^3\,c^4\,d^2+46\,a^2\,b^3\,c^2-30\,a^2\,b^2\,c^3\,d^2-18\,a\,b^5\,c-2\,a\,b^4\,c^2\,d^2+2\,b^7+b^6\,c\,d^2\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(3\,b-3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^4\,f^3}+\frac{6\,c^3\,e^{18}\,x^2\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{12\,c^3\,d\,e^{17}\,x\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^4\,e\,f^3}+\frac{9\,b\,c^4\,e^{17}\,x^2\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}+\frac{18\,b\,c^4\,d\,e^{16}\,x\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^4\,e\,f^3}+\frac{27\,c^4\,e^{14}\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^2\,\left(16\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-8\,a\,b^3\,c-7\,a\,b^2\,c^2\,d^2+b^5+b^4\,c\,d^2\right)}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}+\frac{54\,c^5\,d\,e^{15}\,x\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}\right)\,\left(\frac{27\,c^5\,e^{16}\,x^2\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}-\frac{\left(3\,b+3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{9\,c^3\,e^{15}\,\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(-10\,a^3\,c^3+71\,a^2\,b^2\,c^2+90\,a^2\,b\,c^3\,d^2-33\,a\,b^4\,c-47\,a\,b^3\,c^2\,d^2+4\,b^6+6\,b^5\,c\,d^2\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}-\frac{\left(3\,b+3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(\frac{6\,c^2\,e^{16}\,\left(-20\,a^3\,b\,c^3+100\,a^3\,c^4\,d^2+46\,a^2\,b^3\,c^2-30\,a^2\,b^2\,c^3\,d^2-18\,a\,b^5\,c-2\,a\,b^4\,c^2\,d^2+2\,b^7+b^6\,c\,d^2\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,c^2\,e^{16}\,\left(3\,b+3\,a^4\,e\,f^3\,\sqrt{-\frac{{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^2}{a^8\,e^2\,f^6\,{\left(4\,a\,c-b^2\right)}^5}}\right)\,\left(3\,b^2\,d^2+6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2+a\,b-10\,a\,c\,d^2-20\,a\,c\,d\,e\,x-10\,a\,c\,e^2\,x^2\right)}{a^4\,f^3}+\frac{6\,c^3\,e^{18}\,x^2\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}+\frac{12\,c^3\,d\,e^{17}\,x\,\left(100\,a^3\,c^3-30\,a^2\,b^2\,c^2-2\,a\,b^4\,c+b^6\right)}{a^3\,f^3\,{\left(4\,a\,c-b^2\right)}^2}\right)}{4\,a^4\,e\,f^3}+\frac{9\,b\,c^4\,e^{17}\,x^2\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}+\frac{18\,b\,c^4\,d\,e^{16}\,x\,\left(900\,a^4\,c^4-1100\,a^3\,b^2\,c^3+479\,a^2\,b^4\,c^2-89\,a\,b^6\,c+6\,b^8\right)}{a^6\,f^6\,{\left(4\,a\,c-b^2\right)}^4}\right)}{4\,a^4\,e\,f^3}+\frac{27\,c^4\,e^{14}\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^2\,\left(16\,a^2\,b\,c^2+10\,a^2\,c^3\,d^2-8\,a\,b^3\,c-7\,a\,b^2\,c^2\,d^2+b^5+b^4\,c\,d^2\right)}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}+\frac{54\,c^5\,d\,e^{15}\,x\,{\left(10\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)}^3}{a^9\,f^9\,{\left(4\,a\,c-b^2\right)}^6}\right)\right)\,\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)}-\frac{\frac{x^4\,\left(100\,a^3\,c^3\,e^3+14\,a^2\,b^2\,c^2\,e^3+2070\,a^2\,b\,c^3\,d^2\,e^3+4200\,a^2\,c^4\,d^4\,e^3-36\,a\,b^4\,c\,e^3-1305\,a\,b^3\,c^2\,d^2\,e^3-2940\,a\,b^2\,c^3\,d^4\,e^3+6\,b^6\,e^3+180\,b^5\,c\,d^2\,e^3+420\,b^4\,c^2\,d^4\,e^3\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^6\,\left(46\,a^2\,b\,c^3\,e^5+560\,a^2\,c^4\,d^2\,e^5-29\,a\,b^3\,c^2\,e^5-392\,a\,b^2\,c^3\,d^2\,e^5+4\,b^5\,c\,e^5+56\,b^4\,c^2\,d^2\,e^5\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x\,\left(122\,a^3\,b\,c^2\,d+200\,a^3\,c^3\,d^3-68\,a^2\,b^3\,c\,d+28\,a^2\,b^2\,c^2\,d^3+414\,a^2\,b\,c^3\,d^5+240\,a^2\,c^4\,d^7+9\,a\,b^5\,d-72\,a\,b^4\,c\,d^3-261\,a\,b^3\,c^2\,d^5-168\,a\,b^2\,c^3\,d^7+12\,b^6\,d^3+36\,b^5\,c\,d^5+24\,b^4\,c^2\,d^7\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^5\,\left(138\,a^2\,b\,c^3\,d\,e^4+560\,a^2\,c^4\,d^3\,e^4-87\,a\,b^3\,c^2\,d\,e^4-392\,a\,b^2\,c^3\,d^3\,e^4+12\,b^5\,c\,d\,e^4+56\,b^4\,c^2\,d^3\,e^4\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{3\,x^8\,\left(10\,a^2\,c^4\,e^7-7\,a\,b^2\,c^3\,e^7+b^4\,c^2\,e^7\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x^2\,\left(122\,e\,a^3\,b\,c^2+600\,e\,a^3\,c^3\,d^2-68\,e\,a^2\,b^3\,c+84\,e\,a^2\,b^2\,c^2\,d^2+2070\,e\,a^2\,b\,c^3\,d^4+1680\,e\,a^2\,c^4\,d^6+9\,e\,a\,b^5-216\,e\,a\,b^4\,c\,d^2-1305\,e\,a\,b^3\,c^2\,d^4-1176\,e\,a\,b^2\,c^3\,d^6+36\,e\,b^6\,d^2+180\,e\,b^5\,c\,d^4+168\,e\,b^4\,c^2\,d^6\right)}{4\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}+\frac{x^3\,\left(100\,a^3\,c^3\,d\,e^2+14\,a^2\,b^2\,c^2\,d\,e^2+690\,a^2\,b\,c^3\,d^3\,e^2+840\,a^2\,c^4\,d^5\,e^2-36\,a\,b^4\,c\,d\,e^2-435\,a\,b^3\,c^2\,d^3\,e^2-588\,a\,b^2\,c^3\,d^5\,e^2+6\,b^6\,d\,e^2+60\,b^5\,c\,d^3\,e^2+84\,b^4\,c^2\,d^5\,e^2\right)}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{12\,x^7\,\left(10\,d\,a^2\,c^4\,e^6-7\,d\,a\,b^2\,c^3\,e^6+d\,b^4\,c^2\,e^6\right)}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{32\,a^4\,c^2-16\,a^3\,b^2\,c+122\,a^3\,b\,c^2\,d^2+100\,a^3\,c^3\,d^4+2\,a^2\,b^4-68\,a^2\,b^3\,c\,d^2+14\,a^2\,b^2\,c^2\,d^4+138\,a^2\,b\,c^3\,d^6+60\,a^2\,c^4\,d^8+9\,a\,b^5\,d^2-36\,a\,b^4\,c\,d^4-87\,a\,b^3\,c^2\,d^6-42\,a\,b^2\,c^3\,d^8+6\,b^6\,d^4+12\,b^5\,c\,d^6+6\,b^4\,c^2\,d^8}{4\,e\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}{x^4\,\left(15\,b^2\,d^2\,e^4\,f^3+140\,b\,c\,d^4\,e^4\,f^3+2\,a\,b\,e^4\,f^3+210\,c^2\,d^6\,e^4\,f^3+30\,a\,c\,d^2\,e^4\,f^3\right)+x^7\,\left(120\,c^2\,d^3\,e^7\,f^3+16\,b\,c\,d\,e^7\,f^3\right)+x\,\left(2\,e\,a^2\,d\,f^3+8\,e\,a\,b\,d^3\,f^3+12\,e\,a\,c\,d^5\,f^3+6\,e\,b^2\,d^5\,f^3+16\,e\,b\,c\,d^7\,f^3+10\,e\,c^2\,d^9\,f^3\right)+x^3\,\left(20\,b^2\,d^3\,e^3\,f^3+112\,b\,c\,d^5\,e^3\,f^3+8\,a\,b\,d\,e^3\,f^3+120\,c^2\,d^7\,e^3\,f^3+40\,a\,c\,d^3\,e^3\,f^3\right)+x^2\,\left(a^2\,e^2\,f^3+12\,a\,b\,d^2\,e^2\,f^3+30\,a\,c\,d^4\,e^2\,f^3+15\,b^2\,d^4\,e^2\,f^3+56\,b\,c\,d^6\,e^2\,f^3+45\,c^2\,d^8\,e^2\,f^3\right)+x^5\,\left(6\,b^2\,d\,e^5\,f^3+112\,b\,c\,d^3\,e^5\,f^3+252\,c^2\,d^5\,e^5\,f^3+12\,a\,c\,d\,e^5\,f^3\right)+x^8\,\left(45\,c^2\,d^2\,e^8\,f^3+2\,b\,c\,e^8\,f^3\right)+x^6\,\left(b^2\,e^6\,f^3+56\,b\,c\,d^2\,e^6\,f^3+210\,c^2\,d^4\,e^6\,f^3+2\,a\,c\,e^6\,f^3\right)+a^2\,d^2\,f^3+b^2\,d^6\,f^3+c^2\,d^{10}\,f^3+c^2\,e^{10}\,f^3\,x^{10}+2\,a\,b\,d^4\,f^3+2\,a\,c\,d^6\,f^3+2\,b\,c\,d^8\,f^3+10\,c^2\,d\,e^9\,f^3\,x^9}-\frac{3\,b\,\ln\left(d+e\,x\right)}{a^4\,e\,f^3}+\frac{3\,\mathrm{atan}\left(\frac{x^2\,\left(\frac{\left(\frac{\left(\frac{129600\,a^9\,b\,c^{10}\,e^{17}\,f^3-223200\,a^8\,b^3\,c^9\,e^{17}\,f^3+156276\,a^7\,b^5\,c^8\,e^{17}\,f^3-57204\,a^6\,b^7\,c^7\,e^{17}\,f^3+11583\,a^5\,b^9\,c^6\,e^{17}\,f^3-1233\,a^4\,b^{11}\,c^5\,e^{17}\,f^3+54\,a^3\,b^{13}\,c^4\,e^{17}\,f^3}{4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9}-\frac{\left(\frac{153600\,a^{13}\,c^{10}\,e^{18}\,f^6-199680\,a^{12}\,b^2\,c^9\,e^{18}\,f^6+100608\,a^{11}\,b^4\,c^8\,e^{18}\,f^6-22272\,a^{10}\,b^6\,c^7\,e^{18}\,f^6+792\,a^9\,b^8\,c^6\,e^{18}\,f^6+588\,a^8\,b^{10}\,c^5\,e^{18}\,f^6-108\,a^7\,b^{12}\,c^4\,e^{18}\,f^6+6\,a^6\,b^{14}\,c^3\,e^{18}\,f^6}{4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9}+\frac{\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)\,\left(-163840\,a^{16}\,b\,c^9\,e^{19}\,f^9+294912\,a^{15}\,b^3\,c^8\,e^{19}\,f^9-227328\,a^{14}\,b^5\,c^7\,e^{19}\,f^9+97280\,a^{13}\,b^7\,c^6\,e^{19}\,f^9-24960\,a^{12}\,b^9\,c^5\,e^{19}\,f^9+3840\,a^{11}\,b^{11}\,c^4\,e^{19}\,f^9-328\,a^{10}\,b^{13}\,c^3\,e^{19}\,f^9+12\,a^9\,b^{15}\,c^2\,e^{19}\,f^9\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)\,\left(4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9\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{14}\right)\,\left(100\,a^6\,c^6+6100\,a^5\,b^2\,c^5-7675\,a^4\,b^4\,c^4+3840\,a^3\,b^6\,c^3-960\,a^2\,b^8\,c^2+120\,a\,b^{10}\,c-6\,b^{12}\right)}+\frac{b\,\left(\frac{3\,\left(\frac{-14400\,a^{10}\,c^{10}\,e^{15}\,f^3+119520\,a^9\,b^2\,c^9\,e^{15}\,f^3+129600\,a^9\,b\,c^{10}\,d^2\,e^{15}\,f^3-177588\,a^8\,b^4\,c^8\,e^{15}\,f^3-223200\,a^8\,b^3\,c^9\,d^2\,e^{15}\,f^3+116532\,a^7\,b^6\,c^7\,e^{15}\,f^3+156276\,a^7\,b^5\,c^8\,d^2\,e^{15}\,f^3-40941\,a^6\,b^8\,c^6\,e^{15}\,f^3-57204\,a^6\,b^7\,c^7\,d^2\,e^{15}\,f^3+8046\,a^5\,b^{10}\,c^5\,e^{15}\,f^3+11583\,a^5\,b^9\,c^6\,d^2\,e^{15}\,f^3-837\,a^4\,b^{12}\,c^4\,e^{15}\,f^3-1233\,a^4\,b^{11}\,c^5\,d^2\,e^{15}\,f^3+36\,a^3\,b^{14}\,c^3\,e^{15}\,f^3+54\,a^3\,b^{13}\,c^4\,d^2\,e^{15}\,f^3}{4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9}-\frac{\left(\frac{-30720\,a^{13}\,b\,c^9\,e^{16}\,f^6+153600\,a^{13}\,c^{10}\,d^2\,e^{16}\,f^6+101376\,a^{12}\,b^3\,c^8\,e^{16}\,f^6-199680\,a^{12}\,b^2\,c^9\,d^2\,e^{16}\,f^6-109824\,a^{11}\,b^5\,c^7\,e^{16}\,f^6+100608\,a^{11}\,b^4\,c^8\,d^2\,e^{16}\,f^6+59136\,a^{10}\,b^7\,c^6\,e^{16}\,f^6-22272\,a^{10}\,b^6\,c^7\,d^2\,e^{16}\,f^6-17976\,a^9\,b^9\,c^5\,e^{16}\,f^6+792\,a^9\,b^8\,c^6\,d^2\,e^{16}\,f^6+3156\,a^8\,b^{11}\,c^4\,e^{16}\,f^6+588\,a^8\,b^{10}\,c^5\,d^2\,e^{16}\,f^6-300\,a^7\,b^{13}\,c^3\,e^{16}\,f^6-108\,a^7\,b^{12}\,c^4\,d^2\,e^{16}\,f^6+12\,a^6\,b^{15}\,c^2\,e^{16}\,f^6+6\,a^6\,b^{14}\,c^3\,d^2\,e^{16}\,f^6}{4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9}+\frac{\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}\,f^9-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}\,f^9-24576\,a^{15}\,b^4\,c^7\,e^{17}\,f^9+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}\,f^9+15360\,a^{14}\,b^6\,c^6\,e^{17}\,f^9-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}\,f^9-5120\,a^{13}\,b^8\,c^5\,e^{17}\,f^9+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}\,f^9+960\,a^{12}\,b^{10}\,c^4\,e^{17}\,f^9-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}\,f^9-96\,a^{11}\,b^{12}\,c^3\,e^{17}\,f^9+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}\,f^9+4\,a^{10}\,b^{14}\,c^2\,e^{17}\,f^9-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}\,f^9+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)\,\left(4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{4\,a^4\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\left(\frac{3\,\left(\frac{-30720\,a^{13}\,b\,c^9\,e^{16}\,f^6+153600\,a^{13}\,c^{10}\,d^2\,e^{16}\,f^6+101376\,a^{12}\,b^3\,c^8\,e^{16}\,f^6-199680\,a^{12}\,b^2\,c^9\,d^2\,e^{16}\,f^6-109824\,a^{11}\,b^5\,c^7\,e^{16}\,f^6+100608\,a^{11}\,b^4\,c^8\,d^2\,e^{16}\,f^6+59136\,a^{10}\,b^7\,c^6\,e^{16}\,f^6-22272\,a^{10}\,b^6\,c^7\,d^2\,e^{16}\,f^6-17976\,a^9\,b^9\,c^5\,e^{16}\,f^6+792\,a^9\,b^8\,c^6\,d^2\,e^{16}\,f^6+3156\,a^8\,b^{11}\,c^4\,e^{16}\,f^6+588\,a^8\,b^{10}\,c^5\,d^2\,e^{16}\,f^6-300\,a^7\,b^{13}\,c^3\,e^{16}\,f^6-108\,a^7\,b^{12}\,c^4\,d^2\,e^{16}\,f^6+12\,a^6\,b^{15}\,c^2\,e^{16}\,f^6+6\,a^6\,b^{14}\,c^3\,d^2\,e^{16}\,f^6}{4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9}+\frac{\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}\,f^9-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}\,f^9-24576\,a^{15}\,b^4\,c^7\,e^{17}\,f^9+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}\,f^9+15360\,a^{14}\,b^6\,c^6\,e^{17}\,f^9-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}\,f^9-5120\,a^{13}\,b^8\,c^5\,e^{17}\,f^9+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}\,f^9+960\,a^{12}\,b^{10}\,c^4\,e^{17}\,f^9-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}\,f^9-96\,a^{11}\,b^{12}\,c^3\,e^{17}\,f^9+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}\,f^9+4\,a^{10}\,b^{14}\,c^2\,e^{17}\,f^9-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}\,f^9+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\,f^9\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)\,\left(4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{4\,a^4\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{3\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)\,\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}\,f^9-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}\,f^9-24576\,a^{15}\,b^4\,c^7\,e^{17}\,f^9+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}\,f^9+15360\,a^{14}\,b^6\,c^6\,e^{17}\,f^9-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}\,f^9-5120\,a^{13}\,b^8\,c^5\,e^{17}\,f^9+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}\,f^9+960\,a^{12}\,b^{10}\,c^4\,e^{17}\,f^9-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}\,f^9-96\,a^{11}\,b^{12}\,c^3\,e^{17}\,f^9+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}\,f^9+4\,a^{10}\,b^{14}\,c^2\,e^{17}\,f^9-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}\,f^9+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\,f^9\right)}{8\,a^4\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)\,\left(4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9\right)}\right)\,\left(-6144\,e\,a^5\,b\,c^5\,f^3+7680\,e\,a^4\,b^3\,c^4\,f^3-3840\,e\,a^3\,b^5\,c^3\,f^3+960\,e\,a^2\,b^7\,c^2\,f^3-120\,e\,a\,b^9\,c\,f^3+6\,e\,b^{11}\,f^3\right)}{2\,\left(-4096\,a^9\,c^5\,e^2\,f^6+5120\,a^8\,b^2\,c^4\,e^2\,f^6-2560\,a^7\,b^4\,c^3\,e^2\,f^6+640\,a^6\,b^6\,c^2\,e^2\,f^6-80\,a^5\,b^8\,c\,e^2\,f^6+4\,a^4\,b^{10}\,e^2\,f^6\right)}+\frac{27\,{\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}^3\,\left(16384\,a^{16}\,b^2\,c^8\,e^{17}\,f^9-163840\,a^{16}\,b\,c^9\,d^2\,e^{17}\,f^9-24576\,a^{15}\,b^4\,c^7\,e^{17}\,f^9+294912\,a^{15}\,b^3\,c^8\,d^2\,e^{17}\,f^9+15360\,a^{14}\,b^6\,c^6\,e^{17}\,f^9-227328\,a^{14}\,b^5\,c^7\,d^2\,e^{17}\,f^9-5120\,a^{13}\,b^8\,c^5\,e^{17}\,f^9+97280\,a^{13}\,b^7\,c^6\,d^2\,e^{17}\,f^9+960\,a^{12}\,b^{10}\,c^4\,e^{17}\,f^9-24960\,a^{12}\,b^9\,c^5\,d^2\,e^{17}\,f^9-96\,a^{11}\,b^{12}\,c^3\,e^{17}\,f^9+3840\,a^{11}\,b^{11}\,c^4\,d^2\,e^{17}\,f^9+4\,a^{10}\,b^{14}\,c^2\,e^{17}\,f^9-328\,a^{10}\,b^{13}\,c^3\,d^2\,e^{17}\,f^9+12\,a^9\,b^{15}\,c^2\,d^2\,e^{17}\,f^9\right)}{64\,a^{12}\,e^3\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}\,\left(4096\,a^{15}\,c^6\,f^9-6144\,a^{14}\,b^2\,c^5\,f^9+3840\,a^{13}\,b^4\,c^4\,f^9-1280\,a^{12}\,b^6\,c^3\,f^9+240\,a^{11}\,b^8\,c^2\,f^9-24\,a^{10}\,b^{10}\,c\,f^9+a^9\,b^{12}\,f^9\right)}\right)\,\left(190\,a^4\,c^4-335\,a^3\,b^2\,c^3+180\,a^2\,b^4\,c^2-39\,a\,b^6\,c+3\,b^8\right)\,\left(16\,a^{12}\,b^{12}\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}+65536\,a^{18}\,c^6\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}-384\,a^{13}\,b^{10}\,c\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}+3840\,a^{14}\,b^8\,c^2\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}-20480\,a^{15}\,b^6\,c^3\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}+61440\,a^{16}\,b^4\,c^4\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}-98304\,a^{17}\,b^2\,c^5\,f^9\,{\left(4\,a\,c-b^2\right)}^{15/2}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{13/2}\,\left(10800\,a^6\,c^8\,e^{14}-32400\,a^5\,b^2\,c^7\,e^{14}+35100\,a^4\,b^4\,c^6\,e^{14}-17280\,a^3\,b^6\,c^5\,e^{14}+4320\,a^2\,b^8\,c^4\,e^{14}-540\,a\,b^{10}\,c^3\,e^{14}+27\,b^{12}\,c^2\,e^{14}\right)\,\left(100\,a^6\,c^6+6100\,a^5\,b^2\,c^5-7675\,a^4\,b^4\,c^4+3840\,a^3\,b^6\,c^3-960\,a^2\,b^8\,c^2+120\,a\,b^{10}\,c-6\,b^{12}\right)}\right)\,\left(-20\,a^3\,c^3+30\,a^2\,b^2\,c^2-10\,a\,b^4\,c+b^6\right)}{2\,a^4\,e\,f^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"(log(((27*c^5*e^16*x^2*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*f^9*(4*a*c - b^2)^6) - ((3*b - 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*((9*c^3*e^15*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)*(4*b^6 - 10*a^3*c^3 + 6*b^5*c*d^2 + 71*a^2*b^2*c^2 - 33*a*b^4*c - 47*a*b^3*c^2*d^2 + 90*a^2*b*c^3*d^2))/(a^6*f^6*(4*a*c - b^2)^4) - ((3*b - 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*((6*c^2*e^16*(2*b^7 - 20*a^3*b*c^3 + b^6*c*d^2 + 46*a^2*b^3*c^2 + 100*a^3*c^4*d^2 - 18*a*b^5*c - 2*a*b^4*c^2*d^2 - 30*a^2*b^2*c^3*d^2))/(a^3*f^3*(4*a*c - b^2)^2) + (b*c^2*e^16*(3*b - 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^4*f^3) + (6*c^3*e^18*x^2*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*f^3*(4*a*c - b^2)^2) + (12*c^3*d*e^17*x*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*f^3*(4*a*c - b^2)^2)))/(4*a^4*e*f^3) + (9*b*c^4*e^17*x^2*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*f^6*(4*a*c - b^2)^4) + (18*b*c^4*d*e^16*x*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*f^6*(4*a*c - b^2)^4)))/(4*a^4*e*f^3) + (27*c^4*e^14*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^2*(b^5 + 16*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 8*a*b^3*c - 7*a*b^2*c^2*d^2))/(a^9*f^9*(4*a*c - b^2)^6) + (54*c^5*d*e^15*x*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*f^9*(4*a*c - b^2)^6))*((27*c^5*e^16*x^2*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*f^9*(4*a*c - b^2)^6) - ((3*b + 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*((9*c^3*e^15*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)*(4*b^6 - 10*a^3*c^3 + 6*b^5*c*d^2 + 71*a^2*b^2*c^2 - 33*a*b^4*c - 47*a*b^3*c^2*d^2 + 90*a^2*b*c^3*d^2))/(a^6*f^6*(4*a*c - b^2)^4) - ((3*b + 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*((6*c^2*e^16*(2*b^7 - 20*a^3*b*c^3 + b^6*c*d^2 + 46*a^2*b^3*c^2 + 100*a^3*c^4*d^2 - 18*a*b^5*c - 2*a*b^4*c^2*d^2 - 30*a^2*b^2*c^3*d^2))/(a^3*f^3*(4*a*c - b^2)^2) + (b*c^2*e^16*(3*b + 3*a^4*e*f^3*(-(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2/(a^8*e^2*f^6*(4*a*c - b^2)^5))^(1/2))*(a*b + 3*b^2*d^2 + 3*b^2*e^2*x^2 - 10*a*c*d^2 + 6*b^2*d*e*x - 10*a*c*e^2*x^2 - 20*a*c*d*e*x))/(a^4*f^3) + (6*c^3*e^18*x^2*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*f^3*(4*a*c - b^2)^2) + (12*c^3*d*e^17*x*(b^6 + 100*a^3*c^3 - 30*a^2*b^2*c^2 - 2*a*b^4*c))/(a^3*f^3*(4*a*c - b^2)^2)))/(4*a^4*e*f^3) + (9*b*c^4*e^17*x^2*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*f^6*(4*a*c - b^2)^4) + (18*b*c^4*d*e^16*x*(6*b^8 + 900*a^4*c^4 + 479*a^2*b^4*c^2 - 1100*a^3*b^2*c^3 - 89*a*b^6*c))/(a^6*f^6*(4*a*c - b^2)^4)))/(4*a^4*e*f^3) + (27*c^4*e^14*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^2*(b^5 + 16*a^2*b*c^2 + b^4*c*d^2 + 10*a^2*c^3*d^2 - 8*a*b^3*c - 7*a*b^2*c^2*d^2))/(a^9*f^9*(4*a*c - b^2)^6) + (54*c^5*d*e^15*x*(b^4 + 10*a^2*c^2 - 7*a*b^2*c)^3)/(a^9*f^9*(4*a*c - b^2)^6)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) - ((x^4*(6*b^6*e^3 + 100*a^3*c^3*e^3 + 180*b^5*c*d^2*e^3 + 14*a^2*b^2*c^2*e^3 + 4200*a^2*c^4*d^4*e^3 + 420*b^4*c^2*d^4*e^3 - 36*a*b^4*c*e^3 - 1305*a*b^3*c^2*d^2*e^3 + 2070*a^2*b*c^3*d^2*e^3 - 2940*a*b^2*c^3*d^4*e^3))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^6*(4*b^5*c*e^5 - 29*a*b^3*c^2*e^5 + 46*a^2*b*c^3*e^5 + 560*a^2*c^4*d^2*e^5 + 56*b^4*c^2*d^2*e^5 - 392*a*b^2*c^3*d^2*e^5))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x*(12*b^6*d^3 + 36*b^5*c*d^5 + 200*a^3*c^3*d^3 + 240*a^2*c^4*d^7 + 24*b^4*c^2*d^7 + 9*a*b^5*d - 261*a*b^3*c^2*d^5 + 414*a^2*b*c^3*d^5 - 168*a*b^2*c^3*d^7 + 28*a^2*b^2*c^2*d^3 - 68*a^2*b^3*c*d + 122*a^3*b*c^2*d - 72*a*b^4*c*d^3))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^5*(560*a^2*c^4*d^3*e^4 + 56*b^4*c^2*d^3*e^4 + 12*b^5*c*d*e^4 - 87*a*b^3*c^2*d*e^4 + 138*a^2*b*c^3*d*e^4 - 392*a*b^2*c^3*d^3*e^4))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (3*x^8*(10*a^2*c^4*e^7 + b^4*c^2*e^7 - 7*a*b^2*c^3*e^7))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x^2*(36*b^6*d^2*e + 9*a*b^5*e + 600*a^3*c^3*d^2*e + 1680*a^2*c^4*d^6*e + 168*b^4*c^2*d^6*e - 68*a^2*b^3*c*e + 122*a^3*b*c^2*e + 180*b^5*c*d^4*e - 216*a*b^4*c*d^2*e - 1305*a*b^3*c^2*d^4*e + 2070*a^2*b*c^3*d^4*e - 1176*a*b^2*c^3*d^6*e + 84*a^2*b^2*c^2*d^2*e))/(4*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)) + (x^3*(6*b^6*d*e^2 + 100*a^3*c^3*d*e^2 + 60*b^5*c*d^3*e^2 + 840*a^2*c^4*d^5*e^2 + 84*b^4*c^2*d^5*e^2 - 36*a*b^4*c*d*e^2 + 14*a^2*b^2*c^2*d*e^2 - 435*a*b^3*c^2*d^3*e^2 + 690*a^2*b*c^3*d^3*e^2 - 588*a*b^2*c^3*d^5*e^2))/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + (12*x^7*(10*a^2*c^4*d*e^6 + b^4*c^2*d*e^6 - 7*a*b^2*c^3*d*e^6))/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + (2*a^2*b^4 + 32*a^4*c^2 + 6*b^6*d^4 - 16*a^3*b^2*c + 9*a*b^5*d^2 + 12*b^5*c*d^6 + 100*a^3*c^3*d^4 + 60*a^2*c^4*d^8 + 6*b^4*c^2*d^8 - 68*a^2*b^3*c*d^2 + 122*a^3*b*c^2*d^2 - 87*a*b^3*c^2*d^6 + 138*a^2*b*c^3*d^6 - 42*a*b^2*c^3*d^8 + 14*a^2*b^2*c^2*d^4 - 36*a*b^4*c*d^4)/(4*e*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))/(x^4*(15*b^2*d^2*e^4*f^3 + 210*c^2*d^6*e^4*f^3 + 2*a*b*e^4*f^3 + 30*a*c*d^2*e^4*f^3 + 140*b*c*d^4*e^4*f^3) + x^7*(120*c^2*d^3*e^7*f^3 + 16*b*c*d*e^7*f^3) + x*(6*b^2*d^5*e*f^3 + 10*c^2*d^9*e*f^3 + 2*a^2*d*e*f^3 + 8*a*b*d^3*e*f^3 + 12*a*c*d^5*e*f^3 + 16*b*c*d^7*e*f^3) + x^3*(20*b^2*d^3*e^3*f^3 + 120*c^2*d^7*e^3*f^3 + 8*a*b*d*e^3*f^3 + 40*a*c*d^3*e^3*f^3 + 112*b*c*d^5*e^3*f^3) + x^2*(a^2*e^2*f^3 + 15*b^2*d^4*e^2*f^3 + 45*c^2*d^8*e^2*f^3 + 12*a*b*d^2*e^2*f^3 + 30*a*c*d^4*e^2*f^3 + 56*b*c*d^6*e^2*f^3) + x^5*(6*b^2*d*e^5*f^3 + 252*c^2*d^5*e^5*f^3 + 12*a*c*d*e^5*f^3 + 112*b*c*d^3*e^5*f^3) + x^8*(45*c^2*d^2*e^8*f^3 + 2*b*c*e^8*f^3) + x^6*(b^2*e^6*f^3 + 210*c^2*d^4*e^6*f^3 + 2*a*c*e^6*f^3 + 56*b*c*d^2*e^6*f^3) + a^2*d^2*f^3 + b^2*d^6*f^3 + c^2*d^10*f^3 + c^2*e^10*f^3*x^10 + 2*a*b*d^4*f^3 + 2*a*c*d^6*f^3 + 2*b*c*d^8*f^3 + 10*c^2*d*e^9*f^3*x^9) - (3*b*log(d + e*x))/(a^4*e*f^3) + (3*atan((x^2*((((((54*a^3*b^13*c^4*e^17*f^3 - 1233*a^4*b^11*c^5*e^17*f^3 + 11583*a^5*b^9*c^6*e^17*f^3 - 57204*a^6*b^7*c^7*e^17*f^3 + 156276*a^7*b^5*c^8*e^17*f^3 - 223200*a^8*b^3*c^9*e^17*f^3 + 129600*a^9*b*c^10*e^17*f^3)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((153600*a^13*c^10*e^18*f^6 + 6*a^6*b^14*c^3*e^18*f^6 - 108*a^7*b^12*c^4*e^18*f^6 + 588*a^8*b^10*c^5*e^18*f^6 + 792*a^9*b^8*c^6*e^18*f^6 - 22272*a^10*b^6*c^7*e^18*f^6 + 100608*a^11*b^4*c^8*e^18*f^6 - 199680*a^12*b^2*c^9*e^18*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) - (27000*a^6*c^11*e^16 + 27*b^12*c^5*e^16 - 567*a*b^10*c^6*e^16 + 4779*a^2*b^8*c^7*e^16 - 20601*a^3*b^6*c^8*e^16 + 47790*a^4*b^4*c^9*e^16 - 56700*a^5*b^2*c^10*e^16)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + (3*((3*((153600*a^13*c^10*e^18*f^6 + 6*a^6*b^14*c^3*e^18*f^6 - 108*a^7*b^12*c^4*e^18*f^6 + 588*a^8*b^10*c^5*e^18*f^6 + 792*a^9*b^8*c^6*e^18*f^6 - 22272*a^10*b^6*c^7*e^18*f^6 + 100608*a^11*b^4*c^8*e^18*f^6 - 199680*a^12*b^2*c^9*e^18*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(8*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(32*a^8*e^2*f^6*(4*a*c - b^2)^5*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) + (b*((3*((54*a^3*b^13*c^4*e^17*f^3 - 1233*a^4*b^11*c^5*e^17*f^3 + 11583*a^5*b^9*c^6*e^17*f^3 - 57204*a^6*b^7*c^7*e^17*f^3 + 156276*a^7*b^5*c^8*e^17*f^3 - 223200*a^8*b^3*c^9*e^17*f^3 + 129600*a^9*b*c^10*e^17*f^3)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((153600*a^13*c^10*e^18*f^6 + 6*a^6*b^14*c^3*e^18*f^6 - 108*a^7*b^12*c^4*e^18*f^6 + 588*a^8*b^10*c^5*e^18*f^6 + 792*a^9*b^8*c^6*e^18*f^6 - 22272*a^10*b^6*c^7*e^18*f^6 + 100608*a^11*b^4*c^8*e^18*f^6 - 199680*a^12*b^2*c^9*e^18*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) - (((3*((153600*a^13*c^10*e^18*f^6 + 6*a^6*b^14*c^3*e^18*f^6 - 108*a^7*b^12*c^4*e^18*f^6 + 588*a^8*b^10*c^5*e^18*f^6 + 792*a^9*b^8*c^6*e^18*f^6 - 22272*a^10*b^6*c^7*e^18*f^6 + 100608*a^11*b^4*c^8*e^18*f^6 - 199680*a^12*b^2*c^9*e^18*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(8*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(12*a^9*b^15*c^2*e^19*f^9 - 328*a^10*b^13*c^3*e^19*f^9 + 3840*a^11*b^11*c^4*e^19*f^9 - 24960*a^12*b^9*c^5*e^19*f^9 + 97280*a^13*b^7*c^6*e^19*f^9 - 227328*a^14*b^5*c^7*e^19*f^9 + 294912*a^15*b^3*c^8*e^19*f^9 - 163840*a^16*b*c^9*e^19*f^9))/(64*a^12*e^3*f^9*(4*a*c - b^2)^(15/2)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(16*a^12*b^12*f^9*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*f^9*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*f^9*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*f^9*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*f^9*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*f^9*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*f^9*(4*a*c - b^2)^(15/2)))/(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14) - (x*((((2*(27000*a^6*c^11*d*e^15 + 27*b^12*c^5*d*e^15 - 567*a*b^10*c^6*d*e^15 + 4779*a^2*b^8*c^7*d*e^15 - 20601*a^3*b^6*c^8*d*e^15 + 47790*a^4*b^4*c^9*d*e^15 - 56700*a^5*b^2*c^10*d*e^15))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((2*(129600*a^9*b*c^10*d*e^16*f^3 + 54*a^3*b^13*c^4*d*e^16*f^3 - 1233*a^4*b^11*c^5*d*e^16*f^3 + 11583*a^5*b^9*c^6*d*e^16*f^3 - 57204*a^6*b^7*c^7*d*e^16*f^3 + 156276*a^7*b^5*c^8*d*e^16*f^3 - 223200*a^8*b^3*c^9*d*e^16*f^3))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((2*(153600*a^13*c^10*d*e^17*f^6 + 6*a^6*b^14*c^3*d*e^17*f^6 - 108*a^7*b^12*c^4*d*e^17*f^6 + 588*a^8*b^10*c^5*d*e^17*f^6 + 792*a^9*b^8*c^6*d*e^17*f^6 - 22272*a^10*b^6*c^7*d*e^17*f^6 + 100608*a^11*b^4*c^8*d*e^17*f^6 - 199680*a^12*b^2*c^9*d*e^17*f^6))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/((4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) - (3*((3*((2*(153600*a^13*c^10*d*e^17*f^6 + 6*a^6*b^14*c^3*d*e^17*f^6 - 108*a^7*b^12*c^4*d*e^17*f^6 + 588*a^8*b^10*c^5*d*e^17*f^6 + 792*a^9*b^8*c^6*d*e^17*f^6 - 22272*a^10*b^6*c^7*d*e^17*f^6 + 100608*a^11*b^4*c^8*d*e^17*f^6 - 199680*a^12*b^2*c^9*d*e^17*f^6))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/((4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/(16*a^8*e^2*f^6*(4*a*c - b^2)^5*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^6*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) + (b*((((3*((2*(153600*a^13*c^10*d*e^17*f^6 + 6*a^6*b^14*c^3*d*e^17*f^6 - 108*a^7*b^12*c^4*d*e^17*f^6 + 588*a^8*b^10*c^5*d*e^17*f^6 + 792*a^9*b^8*c^6*d*e^17*f^6 - 22272*a^10*b^6*c^7*d*e^17*f^6 + 100608*a^11*b^4*c^8*d*e^17*f^6 - 199680*a^12*b^2*c^9*d*e^17*f^6))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/((4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) - (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) - (3*((2*(129600*a^9*b*c^10*d*e^16*f^3 + 54*a^3*b^13*c^4*d*e^16*f^3 - 1233*a^4*b^11*c^5*d*e^16*f^3 + 11583*a^5*b^9*c^6*d*e^16*f^3 - 57204*a^6*b^7*c^7*d*e^16*f^3 + 156276*a^7*b^5*c^8*d*e^16*f^3 - 223200*a^8*b^3*c^9*d*e^16*f^3))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((2*(153600*a^13*c^10*d*e^17*f^6 + 6*a^6*b^14*c^3*d*e^17*f^6 - 108*a^7*b^12*c^4*d*e^17*f^6 + 588*a^8*b^10*c^5*d*e^17*f^6 + 792*a^9*b^8*c^6*d*e^17*f^6 - 22272*a^10*b^6*c^7*d*e^17*f^6 + 100608*a^11*b^4*c^8*d*e^17*f^6 - 199680*a^12*b^2*c^9*d*e^17*f^6))/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/((4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(163840*a^16*b*c^9*d*e^18*f^9 - 12*a^9*b^15*c^2*d*e^18*f^9 + 328*a^10*b^13*c^3*d*e^18*f^9 - 3840*a^11*b^11*c^4*d*e^18*f^9 + 24960*a^12*b^9*c^5*d*e^18*f^9 - 97280*a^13*b^7*c^6*d*e^18*f^9 + 227328*a^14*b^5*c^7*d*e^18*f^9 - 294912*a^15*b^3*c^8*d*e^18*f^9))/(32*a^12*e^3*f^9*(4*a*c - b^2)^(15/2)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(16*a^12*b^12*f^9*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*f^9*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*f^9*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*f^9*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*f^9*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*f^9*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*f^9*(4*a*c - b^2)^(15/2)))/(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14) + (((((36*a^3*b^14*c^3*e^15*f^3 - 14400*a^10*c^10*e^15*f^3 - 837*a^4*b^12*c^4*e^15*f^3 + 8046*a^5*b^10*c^5*e^15*f^3 - 40941*a^6*b^8*c^6*e^15*f^3 + 116532*a^7*b^6*c^7*e^15*f^3 - 177588*a^8*b^4*c^8*e^15*f^3 + 119520*a^9*b^2*c^9*e^15*f^3 + 129600*a^9*b*c^10*d^2*e^15*f^3 + 54*a^3*b^13*c^4*d^2*e^15*f^3 - 1233*a^4*b^11*c^5*d^2*e^15*f^3 + 11583*a^5*b^9*c^6*d^2*e^15*f^3 - 57204*a^6*b^7*c^7*d^2*e^15*f^3 + 156276*a^7*b^5*c^8*d^2*e^15*f^3 - 223200*a^8*b^3*c^9*d^2*e^15*f^3)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((12*a^6*b^15*c^2*e^16*f^6 - 300*a^7*b^13*c^3*e^16*f^6 + 3156*a^8*b^11*c^4*e^16*f^6 - 17976*a^9*b^9*c^5*e^16*f^6 + 59136*a^10*b^7*c^6*e^16*f^6 - 109824*a^11*b^5*c^7*e^16*f^6 + 101376*a^12*b^3*c^8*e^16*f^6 + 153600*a^13*c^10*d^2*e^16*f^6 - 30720*a^13*b*c^9*e^16*f^6 + 6*a^6*b^14*c^3*d^2*e^16*f^6 - 108*a^7*b^12*c^4*d^2*e^16*f^6 + 588*a^8*b^10*c^5*d^2*e^16*f^6 + 792*a^9*b^8*c^6*d^2*e^16*f^6 - 22272*a^10*b^6*c^7*d^2*e^16*f^6 + 100608*a^11*b^4*c^8*d^2*e^16*f^6 - 199680*a^12*b^2*c^9*d^2*e^16*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) - (27*b^13*c^4*e^14 - 594*a*b^11*c^5*e^14 + 43200*a^6*b*c^10*e^14 + 5319*a^2*b^9*c^6*e^14 - 24732*a^3*b^7*c^7*e^14 + 62748*a^4*b^5*c^8*e^14 - 82080*a^5*b^3*c^9*e^14 + 27000*a^6*c^11*d^2*e^14 + 27*b^12*c^5*d^2*e^14 + 4779*a^2*b^8*c^7*d^2*e^14 - 20601*a^3*b^6*c^8*d^2*e^14 + 47790*a^4*b^4*c^9*d^2*e^14 - 56700*a^5*b^2*c^10*d^2*e^14 - 567*a*b^10*c^6*d^2*e^14)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + (3*((3*((12*a^6*b^15*c^2*e^16*f^6 - 300*a^7*b^13*c^3*e^16*f^6 + 3156*a^8*b^11*c^4*e^16*f^6 - 17976*a^9*b^9*c^5*e^16*f^6 + 59136*a^10*b^7*c^6*e^16*f^6 - 109824*a^11*b^5*c^7*e^16*f^6 + 101376*a^12*b^3*c^8*e^16*f^6 + 153600*a^13*c^10*d^2*e^16*f^6 - 30720*a^13*b*c^9*e^16*f^6 + 6*a^6*b^14*c^3*d^2*e^16*f^6 - 108*a^7*b^12*c^4*d^2*e^16*f^6 + 588*a^8*b^10*c^5*d^2*e^16*f^6 + 792*a^9*b^8*c^6*d^2*e^16*f^6 - 22272*a^10*b^6*c^7*d^2*e^16*f^6 + 100608*a^11*b^4*c^8*d^2*e^16*f^6 - 199680*a^12*b^2*c^9*d^2*e^16*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(8*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (9*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^2*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(32*a^8*e^2*f^6*(4*a*c - b^2)^5*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 10*a^4*c^4 + 120*a^2*b^4*c^2 - 145*a^3*b^2*c^3 - 33*a*b^6*c)*(16*a^12*b^12*f^9*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*f^9*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*f^9*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*f^9*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*f^9*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*f^9*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*f^9*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^6*(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)) + (b*((3*((36*a^3*b^14*c^3*e^15*f^3 - 14400*a^10*c^10*e^15*f^3 - 837*a^4*b^12*c^4*e^15*f^3 + 8046*a^5*b^10*c^5*e^15*f^3 - 40941*a^6*b^8*c^6*e^15*f^3 + 116532*a^7*b^6*c^7*e^15*f^3 - 177588*a^8*b^4*c^8*e^15*f^3 + 119520*a^9*b^2*c^9*e^15*f^3 + 129600*a^9*b*c^10*d^2*e^15*f^3 + 54*a^3*b^13*c^4*d^2*e^15*f^3 - 1233*a^4*b^11*c^5*d^2*e^15*f^3 + 11583*a^5*b^9*c^6*d^2*e^15*f^3 - 57204*a^6*b^7*c^7*d^2*e^15*f^3 + 156276*a^7*b^5*c^8*d^2*e^15*f^3 - 223200*a^8*b^3*c^9*d^2*e^15*f^3)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) - (((12*a^6*b^15*c^2*e^16*f^6 - 300*a^7*b^13*c^3*e^16*f^6 + 3156*a^8*b^11*c^4*e^16*f^6 - 17976*a^9*b^9*c^5*e^16*f^6 + 59136*a^10*b^7*c^6*e^16*f^6 - 109824*a^11*b^5*c^7*e^16*f^6 + 101376*a^12*b^3*c^8*e^16*f^6 + 153600*a^13*c^10*d^2*e^16*f^6 - 30720*a^13*b*c^9*e^16*f^6 + 6*a^6*b^14*c^3*d^2*e^16*f^6 - 108*a^7*b^12*c^4*d^2*e^16*f^6 + 588*a^8*b^10*c^5*d^2*e^16*f^6 + 792*a^9*b^8*c^6*d^2*e^16*f^6 - 22272*a^10*b^6*c^7*d^2*e^16*f^6 + 100608*a^11*b^4*c^8*d^2*e^16*f^6 - 199680*a^12*b^2*c^9*d^2*e^16*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) - (((3*((12*a^6*b^15*c^2*e^16*f^6 - 300*a^7*b^13*c^3*e^16*f^6 + 3156*a^8*b^11*c^4*e^16*f^6 - 17976*a^9*b^9*c^5*e^16*f^6 + 59136*a^10*b^7*c^6*e^16*f^6 - 109824*a^11*b^5*c^7*e^16*f^6 + 101376*a^12*b^3*c^8*e^16*f^6 + 153600*a^13*c^10*d^2*e^16*f^6 - 30720*a^13*b*c^9*e^16*f^6 + 6*a^6*b^14*c^3*d^2*e^16*f^6 - 108*a^7*b^12*c^4*d^2*e^16*f^6 + 588*a^8*b^10*c^5*d^2*e^16*f^6 + 792*a^9*b^8*c^6*d^2*e^16*f^6 - 22272*a^10*b^6*c^7*d^2*e^16*f^6 + 100608*a^11*b^4*c^8*d^2*e^16*f^6 - 199680*a^12*b^2*c^9*d^2*e^16*f^6)/(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9) + ((6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(4*a^4*e*f^3*(4*a*c - b^2)^(5/2)) + (3*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3)*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(8*a^4*e*f^3*(4*a*c - b^2)^(5/2)*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(6*b^11*e*f^3 - 120*a*b^9*c*e*f^3 - 6144*a^5*b*c^5*e*f^3 + 960*a^2*b^7*c^2*e*f^3 - 3840*a^3*b^5*c^3*e*f^3 + 7680*a^4*b^3*c^4*e*f^3))/(2*(4*a^4*b^10*e^2*f^6 - 4096*a^9*c^5*e^2*f^6 + 640*a^6*b^6*c^2*e^2*f^6 - 2560*a^7*b^4*c^3*e^2*f^6 + 5120*a^8*b^2*c^4*e^2*f^6 - 80*a^5*b^8*c*e^2*f^6)) + (27*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c)^3*(4*a^10*b^14*c^2*e^17*f^9 - 96*a^11*b^12*c^3*e^17*f^9 + 960*a^12*b^10*c^4*e^17*f^9 - 5120*a^13*b^8*c^5*e^17*f^9 + 15360*a^14*b^6*c^6*e^17*f^9 - 24576*a^15*b^4*c^7*e^17*f^9 + 16384*a^16*b^2*c^8*e^17*f^9 - 163840*a^16*b*c^9*d^2*e^17*f^9 + 12*a^9*b^15*c^2*d^2*e^17*f^9 - 328*a^10*b^13*c^3*d^2*e^17*f^9 + 3840*a^11*b^11*c^4*d^2*e^17*f^9 - 24960*a^12*b^9*c^5*d^2*e^17*f^9 + 97280*a^13*b^7*c^6*d^2*e^17*f^9 - 227328*a^14*b^5*c^7*d^2*e^17*f^9 + 294912*a^15*b^3*c^8*d^2*e^17*f^9))/(64*a^12*e^3*f^9*(4*a*c - b^2)^(15/2)*(a^9*b^12*f^9 + 4096*a^15*c^6*f^9 - 24*a^10*b^10*c*f^9 + 240*a^11*b^8*c^2*f^9 - 1280*a^12*b^6*c^3*f^9 + 3840*a^13*b^4*c^4*f^9 - 6144*a^14*b^2*c^5*f^9)))*(3*b^8 + 190*a^4*c^4 + 180*a^2*b^4*c^2 - 335*a^3*b^2*c^3 - 39*a*b^6*c)*(16*a^12*b^12*f^9*(4*a*c - b^2)^(15/2) + 65536*a^18*c^6*f^9*(4*a*c - b^2)^(15/2) - 384*a^13*b^10*c*f^9*(4*a*c - b^2)^(15/2) + 3840*a^14*b^8*c^2*f^9*(4*a*c - b^2)^(15/2) - 20480*a^15*b^6*c^3*f^9*(4*a*c - b^2)^(15/2) + 61440*a^16*b^4*c^4*f^9*(4*a*c - b^2)^(15/2) - 98304*a^17*b^2*c^5*f^9*(4*a*c - b^2)^(15/2)))/(8*a^3*c^2*(4*a*c - b^2)^(13/2)*(10800*a^6*c^8*e^14 + 27*b^12*c^2*e^14 - 540*a*b^10*c^3*e^14 + 4320*a^2*b^8*c^4*e^14 - 17280*a^3*b^6*c^5*e^14 + 35100*a^4*b^4*c^6*e^14 - 32400*a^5*b^2*c^7*e^14)*(100*a^6*c^6 - 6*b^12 - 960*a^2*b^8*c^2 + 3840*a^3*b^6*c^3 - 7675*a^4*b^4*c^4 + 6100*a^5*b^2*c^5 + 120*a*b^10*c)))*(b^6 - 20*a^3*c^3 + 30*a^2*b^2*c^2 - 10*a*b^4*c))/(2*a^4*e*f^3*(4*a*c - b^2)^(5/2))","B"
661,0,-1,340,0.000000,"\text{Not used}","int(x/(a + b*(d + e*x)^3 + c*(d + e*x)^6)^(1/2),x)","\int \frac{x}{\sqrt{a+b\,{\left(d+e\,x\right)}^3+c\,{\left(d+e\,x\right)}^6}} \,d x","Not used",1,"int(x/(a + b*(d + e*x)^3 + c*(d + e*x)^6)^(1/2), x)","F"
662,0,-1,398,0.000000,"\text{Not used}","int(x^2/(a + b*(d + e*x)^3 + c*(d + e*x)^6)^(1/2),x)","\int \frac{x^2}{\sqrt{a+b\,{\left(d+e\,x\right)}^3+c\,{\left(d+e\,x\right)}^6}} \,d x","Not used",1,"int(x^2/(a + b*(d + e*x)^3 + c*(d + e*x)^6)^(1/2), x)","F"
663,1,29,34,1.584014,"\text{Not used}","int((3*x + 2)^6*((3*x + 2)^7 + (3*x + 2)^14 + 1),x)","\frac{{\left(3\,x+2\right)}^7\,\left(3\,{\left(3\,x+2\right)}^7+2\,{\left(3\,x+2\right)}^{14}+6\right)}{126}","Not used",1,"((3*x + 2)^7*(3*(3*x + 2)^7 + 2*(3*x + 2)^14 + 6))/126","B"
664,1,46,56,1.602172,"\text{Not used}","int((3*x + 2)^6*((3*x + 2)^7 + (3*x + 2)^14 + 1)^2,x)","\frac{{\left(3\,x+2\right)}^7}{21}+\frac{{\left(3\,x+2\right)}^{14}}{21}+\frac{{\left(3\,x+2\right)}^{21}}{21}+\frac{{\left(3\,x+2\right)}^{28}}{42}+\frac{{\left(3\,x+2\right)}^{35}}{105}","Not used",1,"(3*x + 2)^7/21 + (3*x + 2)^14/21 + (3*x + 2)^21/21 + (3*x + 2)^28/42 + (3*x + 2)^35/105","B"