1,1,51,77,0.195537,"\text{Not used}","int(1/(2*3^(1/2)*b^(3/2) - 9*b*x + 9*x^3),x)","\frac{2\,\sqrt{3}\,\sqrt{27}\,\mathrm{atanh}\left(\frac{\sqrt{3}\,\sqrt{27}}{27}+\frac{2\,\sqrt{27}\,x}{9\,\sqrt{b}}\right)}{243\,b}-\frac{\sqrt{3}}{27\,\sqrt{b}\,\left(x-\frac{\sqrt{3}\,\sqrt{b}}{3}\right)}","Not used",1,"(2*3^(1/2)*27^(1/2)*atanh((3^(1/2)*27^(1/2))/27 + (2*27^(1/2)*x)/(9*b^(1/2))))/(243*b) - 3^(1/2)/(27*b^(1/2)*(x - (3^(1/2)*b^(1/2))/3))","B"
2,1,52,30,2.131553,"\text{Not used}","int((a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^p,x)","\left(\frac{x}{3\,p+1}+\frac{a}{b\,\left(3\,p+1\right)}\right)\,{\left(a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3\right)}^p","Not used",1,"(x/(3*p + 1) + a/(b*(3*p + 1)))*(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^p","B"
3,1,97,14,2.072613,"\text{Not used}","int((a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^3,x)","a^9\,x+\frac{9\,a^8\,b\,x^2}{2}+12\,a^7\,b^2\,x^3+21\,a^6\,b^3\,x^4+\frac{126\,a^5\,b^4\,x^5}{5}+21\,a^4\,b^5\,x^6+12\,a^3\,b^6\,x^7+\frac{9\,a^2\,b^7\,x^8}{2}+a\,b^8\,x^9+\frac{b^9\,x^{10}}{10}","Not used",1,"a^9*x + (b^9*x^10)/10 + (9*a^8*b*x^2)/2 + a*b^8*x^9 + 12*a^7*b^2*x^3 + 21*a^6*b^3*x^4 + (126*a^5*b^4*x^5)/5 + 21*a^4*b^5*x^6 + 12*a^3*b^6*x^7 + (9*a^2*b^7*x^8)/2","B"
4,1,64,14,0.027882,"\text{Not used}","int((a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^2,x)","a^6\,x+3\,a^5\,b\,x^2+5\,a^4\,b^2\,x^3+5\,a^3\,b^3\,x^4+3\,a^2\,b^4\,x^5+a\,b^5\,x^6+\frac{b^6\,x^7}{7}","Not used",1,"a^6*x + (b^6*x^7)/7 + 3*a^5*b*x^2 + a*b^5*x^6 + 5*a^4*b^2*x^3 + 5*a^3*b^3*x^4 + 3*a^2*b^4*x^5","B"
5,1,31,35,0.037339,"\text{Not used}","int(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x,x)","a^3\,x+\frac{3\,a^2\,b\,x^2}{2}+a\,b^2\,x^3+\frac{b^3\,x^4}{4}","Not used",1,"a^3*x + (b^3*x^4)/4 + (3*a^2*b*x^2)/2 + a*b^2*x^3","B"
6,1,26,14,0.033982,"\text{Not used}","int(1/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","-\frac{1}{2\,a^2\,b+4\,a\,b^2\,x+2\,b^3\,x^2}","Not used",1,"-1/(2*a^2*b + 2*b^3*x^2 + 4*a*b^2*x)","B"
7,1,59,14,2.048182,"\text{Not used}","int(1/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^2,x)","-\frac{1}{5\,a^5\,b+25\,a^4\,b^2\,x+50\,a^3\,b^3\,x^2+50\,a^2\,b^4\,x^3+25\,a\,b^5\,x^4+5\,b^6\,x^5}","Not used",1,"-1/(5*a^5*b + 5*b^6*x^5 + 25*a^4*b^2*x + 25*a*b^5*x^4 + 50*a^3*b^3*x^2 + 50*a^2*b^4*x^3)","B"
8,1,92,14,2.068734,"\text{Not used}","int(1/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)^3,x)","-\frac{1}{8\,a^8\,b+64\,a^7\,b^2\,x+224\,a^6\,b^3\,x^2+448\,a^5\,b^4\,x^3+560\,a^4\,b^5\,x^4+448\,a^3\,b^6\,x^5+224\,a^2\,b^7\,x^6+64\,a\,b^8\,x^7+8\,b^9\,x^8}","Not used",1,"-1/(8*a^8*b + 8*b^9*x^8 + 64*a^7*b^2*x + 64*a*b^8*x^7 + 224*a^6*b^3*x^2 + 448*a^5*b^4*x^3 + 560*a^4*b^5*x^4 + 448*a^3*b^6*x^5 + 224*a^2*b^7*x^6)","B"
9,1,149,84,2.076836,"\text{Not used}","int((3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2)^3,x)","x^4\,\left(\frac{27\,a^2\,b^2\,c^2}{4}+\frac{81\,a\,b^4\,c}{2}+\frac{27\,b^6}{4}\right)+\frac{c^6\,x^{10}}{10}+27\,a^3\,b^3\,x+b\,c^5\,x^9+\frac{81\,a^2\,b^4\,x^2}{2}+\frac{9\,b^2\,c^4\,x^8}{2}+9\,b^2\,c^2\,x^6\,\left(2\,b^2+a\,c\right)+27\,a\,b^3\,x^3\,\left(b^2+a\,c\right)+\frac{27\,b^3\,c\,x^5\,\left(3\,b^2+5\,a\,c\right)}{5}+\frac{9\,b\,c^3\,x^7\,\left(9\,b^2+a\,c\right)}{7}","Not used",1,"x^4*((27*b^6)/4 + (27*a^2*b^2*c^2)/4 + (81*a*b^4*c)/2) + (c^6*x^10)/10 + 27*a^3*b^3*x + b*c^5*x^9 + (81*a^2*b^4*x^2)/2 + (9*b^2*c^4*x^8)/2 + 9*b^2*c^2*x^6*(a*c + 2*b^2) + 27*a*b^3*x^3*(a*c + b^2) + (27*b^3*c*x^5*(5*a*c + 3*b^2))/5 + (9*b*c^3*x^7*(a*c + 9*b^2))/7","B"
10,1,79,56,0.039202,"\text{Not used}","int((3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2)^2,x)","x^3\,\left(3\,b^4+6\,a\,c\,b^2\right)+\frac{c^4\,x^7}{7}+9\,a^2\,b^2\,x+9\,a\,b^3\,x^2+b\,c^3\,x^6+3\,b^2\,c^2\,x^5+\frac{3\,b\,c\,x^4\,\left(3\,b^2+a\,c\right)}{2}","Not used",1,"x^3*(3*b^4 + 6*a*b^2*c) + (c^4*x^7)/7 + 9*a^2*b^2*x + 9*a*b^3*x^2 + b*c^3*x^6 + 3*b^2*c^2*x^5 + (3*b*c*x^4*(a*c + 3*b^2))/2","B"
11,1,28,32,0.038336,"\text{Not used}","int(3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2,x)","\frac{3\,b^2\,x^2}{2}+b\,c\,x^3+3\,a\,b\,x+\frac{c^2\,x^4}{4}","Not used",1,"(3*b^2*x^2)/2 + (c^2*x^4)/4 + 3*a*b*x + b*c*x^3","B"
12,1,174,188,0.493966,"\text{Not used}","int(1/(3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2),x)","\frac{\ln\left(b+b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+c\,x\right)}{3\,b^{2/3}\,{\left(3\,a\,c-b^2\right)}^{2/3}}+\frac{\ln\left(3\,b\,c^3+3\,c^4\,x+\frac{3\,b^{1/3}\,c^3\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3\,a\,c-b^2\right)}^{1/3}}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{2/3}\,{\left(3\,a\,c-b^2\right)}^{2/3}}-\frac{\ln\left(3\,b\,c^3+3\,c^4\,x-\frac{3\,b^{1/3}\,c^3\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(3\,a\,c-b^2\right)}^{1/3}}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{2/3}\,{\left(3\,a\,c-b^2\right)}^{2/3}}","Not used",1,"log(b + b^(1/3)*(3*a*c - b^2)^(1/3) + c*x)/(3*b^(2/3)*(3*a*c - b^2)^(2/3)) + (log(3*b*c^3 + 3*c^4*x + (3*b^(1/3)*c^3*(3^(1/2)*1i - 1)*(3*a*c - b^2)^(1/3))/2)*(3^(1/2)*1i - 1))/(6*b^(2/3)*(3*a*c - b^2)^(2/3)) - (log(3*b*c^3 + 3*c^4*x - (3*b^(1/3)*c^3*(3^(1/2)*1i + 1)*(3*a*c - b^2)^(1/3))/2)*(3^(1/2)*1i + 1))/(6*b^(2/3)*(3*a*c - b^2)^(2/3))","B"
13,1,247,245,2.645293,"\text{Not used}","int(1/(3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2)^2,x)","\frac{\frac{1}{3\,\left(3\,a\,c-b^2\right)}+\frac{c\,x}{3\,b\,\left(3\,a\,c-b^2\right)}}{3\,b^2\,x+3\,b\,c\,x^2+3\,a\,b+c^2\,x^3}+\frac{2\,c\,\ln\left(b+b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+c\,x\right)}{9\,b^{5/3}\,{\left(3\,a\,c-b^2\right)}^{5/3}}-\frac{\ln\left(2\,b-b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+2\,c\,x-\sqrt{3}\,b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(c+\sqrt{3}\,c\,1{}\mathrm{i}\right)}{9\,b^{5/3}\,{\left(3\,a\,c-b^2\right)}^{5/3}}-\frac{\ln\left(2\,b-b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+2\,c\,x+\sqrt{3}\,b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(c-\sqrt{3}\,c\,1{}\mathrm{i}\right)}{9\,b^{5/3}\,{\left(3\,a\,c-b^2\right)}^{5/3}}","Not used",1,"(1/(3*(3*a*c - b^2)) + (c*x)/(3*b*(3*a*c - b^2)))/(3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2) + (2*c*log(b + b^(1/3)*(3*a*c - b^2)^(1/3) + c*x))/(9*b^(5/3)*(3*a*c - b^2)^(5/3)) - (log(2*b - b^(1/3)*(3*a*c - b^2)^(1/3) + 2*c*x - 3^(1/2)*b^(1/3)*(3*a*c - b^2)^(1/3)*1i)*(c + 3^(1/2)*c*1i))/(9*b^(5/3)*(3*a*c - b^2)^(5/3)) - (log(2*b - b^(1/3)*(3*a*c - b^2)^(1/3) + 2*c*x + 3^(1/2)*b^(1/3)*(3*a*c - b^2)^(1/3)*1i)*(c - 3^(1/2)*c*1i))/(9*b^(5/3)*(3*a*c - b^2)^(5/3))","B"
14,1,483,305,2.982616,"\text{Not used}","int(1/(3*a*b + 3*b^2*x + c^2*x^3 + 3*b*c*x^2)^3,x)","\frac{\frac{8\,a\,c-b^2}{6\,\left(9\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}+\frac{5\,c^2\,x^2}{3\,\left(9\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}+\frac{10\,c^3\,x^3}{9\,b\,\left(9\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}+\frac{5\,c^4\,x^4}{18\,b^2\,\left(9\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}+\frac{2\,c\,x\,\left(b^2+2\,a\,c\right)}{3\,b\,\left(9\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}}{x^2\,\left(9\,b^4+18\,a\,c\,b^2\right)+9\,a^2\,b^2+c^4\,x^6+x^3\,\left(18\,b^3\,c+6\,a\,b\,c^2\right)+6\,b\,c^3\,x^5+15\,b^2\,c^2\,x^4+18\,a\,b^3\,x}+\frac{5\,c^2\,\ln\left(b\,{\left(3\,a\,c-b^2\right)}^{8/3}-b^{19/3}+c\,x\,{\left(3\,a\,c-b^2\right)}^{8/3}+27\,a^3\,b^{1/3}\,c^3-27\,a^2\,b^{7/3}\,c^2+9\,a\,b^{13/3}\,c\right)}{27\,b^{8/3}\,{\left(3\,a\,c-b^2\right)}^{8/3}}-\frac{5\,c^2\,\ln\left(2\,b-b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+2\,c\,x-\sqrt{3}\,b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,b^{8/3}\,{\left(3\,a\,c-b^2\right)}^{8/3}}+\frac{5\,c^2\,\ln\left(2\,b-b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}+2\,c\,x+\sqrt{3}\,b^{1/3}\,{\left(3\,a\,c-b^2\right)}^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,b^{8/3}\,{\left(3\,a\,c-b^2\right)}^{8/3}}","Not used",1,"((8*a*c - b^2)/(6*(b^4 + 9*a^2*c^2 - 6*a*b^2*c)) + (5*c^2*x^2)/(3*(b^4 + 9*a^2*c^2 - 6*a*b^2*c)) + (10*c^3*x^3)/(9*b*(b^4 + 9*a^2*c^2 - 6*a*b^2*c)) + (5*c^4*x^4)/(18*b^2*(b^4 + 9*a^2*c^2 - 6*a*b^2*c)) + (2*c*x*(2*a*c + b^2))/(3*b*(b^4 + 9*a^2*c^2 - 6*a*b^2*c)))/(x^2*(9*b^4 + 18*a*b^2*c) + 9*a^2*b^2 + c^4*x^6 + x^3*(18*b^3*c + 6*a*b*c^2) + 6*b*c^3*x^5 + 15*b^2*c^2*x^4 + 18*a*b^3*x) + (5*c^2*log(b*(3*a*c - b^2)^(8/3) - b^(19/3) + c*x*(3*a*c - b^2)^(8/3) + 27*a^3*b^(1/3)*c^3 - 27*a^2*b^(7/3)*c^2 + 9*a*b^(13/3)*c))/(27*b^(8/3)*(3*a*c - b^2)^(8/3)) - (5*c^2*log(2*b - b^(1/3)*(3*a*c - b^2)^(1/3) + 2*c*x - 3^(1/2)*b^(1/3)*(3*a*c - b^2)^(1/3)*1i)*((3^(1/2)*1i)/2 + 1/2))/(27*b^(8/3)*(3*a*c - b^2)^(8/3)) + (5*c^2*log(2*b - b^(1/3)*(3*a*c - b^2)^(1/3) + 2*c*x + 3^(1/2)*b^(1/3)*(3*a*c - b^2)^(1/3)*1i)*((3^(1/2)*1i)/2 - 1/2))/(27*b^(8/3)*(3*a*c - b^2)^(8/3))","B"
15,1,787,361,2.225514,"\text{Not used}","int((x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3)^3,x)","x^7\,\left(\frac{a^3\,d^3\,f^3}{7}+\frac{9\,a^2\,b\,c\,d^2\,f^3}{7}+\frac{9\,a^2\,b\,d^3\,e\,f^2}{7}+\frac{9\,a\,b^2\,c^2\,d\,f^3}{7}+\frac{27\,a\,b^2\,c\,d^2\,e\,f^2}{7}+\frac{9\,a\,b^2\,d^3\,e^2\,f}{7}+\frac{b^3\,c^3\,f^3}{7}+\frac{9\,b^3\,c^2\,d\,e\,f^2}{7}+\frac{9\,b^3\,c\,d^2\,e^2\,f}{7}+\frac{b^3\,d^3\,e^3}{7}\right)+x^5\,\left(\frac{3\,a^3\,c^2\,d\,f^3}{5}+\frac{9\,a^3\,c\,d^2\,e\,f^2}{5}+\frac{3\,a^3\,d^3\,e^2\,f}{5}+\frac{3\,a^2\,b\,c^3\,f^3}{5}+\frac{27\,a^2\,b\,c^2\,d\,e\,f^2}{5}+\frac{27\,a^2\,b\,c\,d^2\,e^2\,f}{5}+\frac{3\,a^2\,b\,d^3\,e^3}{5}+\frac{9\,a\,b^2\,c^3\,e\,f^2}{5}+\frac{27\,a\,b^2\,c^2\,d\,e^2\,f}{5}+\frac{9\,a\,b^2\,c\,d^2\,e^3}{5}+\frac{3\,b^3\,c^3\,e^2\,f}{5}+\frac{3\,b^3\,c^2\,d\,e^3}{5}\right)+x^6\,\left(\frac{a^3\,c\,d^2\,f^3}{2}+\frac{a^3\,d^3\,e\,f^2}{2}+\frac{3\,a^2\,b\,c^2\,d\,f^3}{2}+\frac{9\,a^2\,b\,c\,d^2\,e\,f^2}{2}+\frac{3\,a^2\,b\,d^3\,e^2\,f}{2}+\frac{a\,b^2\,c^3\,f^3}{2}+\frac{9\,a\,b^2\,c^2\,d\,e\,f^2}{2}+\frac{9\,a\,b^2\,c\,d^2\,e^2\,f}{2}+\frac{a\,b^2\,d^3\,e^3}{2}+\frac{b^3\,c^3\,e\,f^2}{2}+\frac{3\,b^3\,c^2\,d\,e^2\,f}{2}+\frac{b^3\,c\,d^2\,e^3}{2}\right)+x^4\,\left(\frac{a^3\,c^3\,f^3}{4}+\frac{9\,a^3\,c^2\,d\,e\,f^2}{4}+\frac{9\,a^3\,c\,d^2\,e^2\,f}{4}+\frac{a^3\,d^3\,e^3}{4}+\frac{9\,a^2\,b\,c^3\,e\,f^2}{4}+\frac{27\,a^2\,b\,c^2\,d\,e^2\,f}{4}+\frac{9\,a^2\,b\,c\,d^2\,e^3}{4}+\frac{9\,a\,b^2\,c^3\,e^2\,f}{4}+\frac{9\,a\,b^2\,c^2\,d\,e^3}{4}+\frac{b^3\,c^3\,e^3}{4}\right)+a^3\,c^3\,e^3\,x+\frac{b^3\,d^3\,f^3\,x^{10}}{10}+\frac{3\,a^2\,c^2\,e^2\,x^2\,\left(a\,c\,f+a\,d\,e+b\,c\,e\right)}{2}+\frac{b^2\,d^2\,f^2\,x^9\,\left(a\,d\,f+b\,c\,f+b\,d\,e\right)}{3}+a\,c\,e\,x^3\,\left(a^2\,c^2\,f^2+3\,a^2\,c\,d\,e\,f+a^2\,d^2\,e^2+3\,a\,b\,c^2\,e\,f+3\,a\,b\,c\,d\,e^2+b^2\,c^2\,e^2\right)+\frac{3\,b\,d\,f\,x^8\,\left(a^2\,d^2\,f^2+3\,a\,b\,c\,d\,f^2+3\,a\,b\,d^2\,e\,f+b^2\,c^2\,f^2+3\,b^2\,c\,d\,e\,f+b^2\,d^2\,e^2\right)}{8}","Not used",1,"x^7*((a^3*d^3*f^3)/7 + (b^3*c^3*f^3)/7 + (b^3*d^3*e^3)/7 + (9*a*b^2*c^2*d*f^3)/7 + (9*a^2*b*c*d^2*f^3)/7 + (9*a*b^2*d^3*e^2*f)/7 + (9*a^2*b*d^3*e*f^2)/7 + (9*b^3*c*d^2*e^2*f)/7 + (9*b^3*c^2*d*e*f^2)/7 + (27*a*b^2*c*d^2*e*f^2)/7) + x^5*((3*a^2*b*c^3*f^3)/5 + (3*a^2*b*d^3*e^3)/5 + (3*a^3*c^2*d*f^3)/5 + (3*b^3*c^2*d*e^3)/5 + (3*a^3*d^3*e^2*f)/5 + (3*b^3*c^3*e^2*f)/5 + (9*a*b^2*c*d^2*e^3)/5 + (9*a*b^2*c^3*e*f^2)/5 + (9*a^3*c*d^2*e*f^2)/5 + (27*a*b^2*c^2*d*e^2*f)/5 + (27*a^2*b*c*d^2*e^2*f)/5 + (27*a^2*b*c^2*d*e*f^2)/5) + x^6*((a*b^2*c^3*f^3)/2 + (a*b^2*d^3*e^3)/2 + (a^3*c*d^2*f^3)/2 + (b^3*c*d^2*e^3)/2 + (a^3*d^3*e*f^2)/2 + (b^3*c^3*e*f^2)/2 + (3*a^2*b*c^2*d*f^3)/2 + (3*a^2*b*d^3*e^2*f)/2 + (3*b^3*c^2*d*e^2*f)/2 + (9*a*b^2*c*d^2*e^2*f)/2 + (9*a*b^2*c^2*d*e*f^2)/2 + (9*a^2*b*c*d^2*e*f^2)/2) + x^4*((a^3*c^3*f^3)/4 + (a^3*d^3*e^3)/4 + (b^3*c^3*e^3)/4 + (9*a*b^2*c^2*d*e^3)/4 + (9*a^2*b*c*d^2*e^3)/4 + (9*a*b^2*c^3*e^2*f)/4 + (9*a^2*b*c^3*e*f^2)/4 + (9*a^3*c*d^2*e^2*f)/4 + (9*a^3*c^2*d*e*f^2)/4 + (27*a^2*b*c^2*d*e^2*f)/4) + a^3*c^3*e^3*x + (b^3*d^3*f^3*x^10)/10 + (3*a^2*c^2*e^2*x^2*(a*c*f + a*d*e + b*c*e))/2 + (b^2*d^2*f^2*x^9*(a*d*f + b*c*f + b*d*e))/3 + a*c*e*x^3*(a^2*c^2*f^2 + a^2*d^2*e^2 + b^2*c^2*e^2 + 3*a*b*c*d*e^2 + 3*a*b*c^2*e*f + 3*a^2*c*d*e*f) + (3*b*d*f*x^8*(a^2*d^2*f^2 + b^2*c^2*f^2 + b^2*d^2*e^2 + 3*a*b*c*d*f^2 + 3*a*b*d^2*e*f + 3*b^2*c*d*e*f))/8","B"
16,1,270,193,0.083872,"\text{Not used}","int((x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3)^2,x)","x^4\,\left(\frac{a^2\,c\,d\,f^2}{2}+\frac{a^2\,d^2\,e\,f}{2}+\frac{a\,b\,c^2\,f^2}{2}+2\,a\,b\,c\,d\,e\,f+\frac{a\,b\,d^2\,e^2}{2}+\frac{b^2\,c^2\,e\,f}{2}+\frac{b^2\,c\,d\,e^2}{2}\right)+x^3\,\left(\frac{a^2\,c^2\,f^2}{3}+\frac{4\,a^2\,c\,d\,e\,f}{3}+\frac{a^2\,d^2\,e^2}{3}+\frac{4\,a\,b\,c^2\,e\,f}{3}+\frac{4\,a\,b\,c\,d\,e^2}{3}+\frac{b^2\,c^2\,e^2}{3}\right)+x^5\,\left(\frac{a^2\,d^2\,f^2}{5}+\frac{4\,a\,b\,c\,d\,f^2}{5}+\frac{4\,a\,b\,d^2\,e\,f}{5}+\frac{b^2\,c^2\,f^2}{5}+\frac{4\,b^2\,c\,d\,e\,f}{5}+\frac{b^2\,d^2\,e^2}{5}\right)+a^2\,c^2\,e^2\,x+\frac{b^2\,d^2\,f^2\,x^7}{7}+a\,c\,e\,x^2\,\left(a\,c\,f+a\,d\,e+b\,c\,e\right)+\frac{b\,d\,f\,x^6\,\left(a\,d\,f+b\,c\,f+b\,d\,e\right)}{3}","Not used",1,"x^4*((a*b*c^2*f^2)/2 + (a*b*d^2*e^2)/2 + (a^2*c*d*f^2)/2 + (b^2*c*d*e^2)/2 + (a^2*d^2*e*f)/2 + (b^2*c^2*e*f)/2 + 2*a*b*c*d*e*f) + x^3*((a^2*c^2*f^2)/3 + (a^2*d^2*e^2)/3 + (b^2*c^2*e^2)/3 + (4*a*b*c*d*e^2)/3 + (4*a*b*c^2*e*f)/3 + (4*a^2*c*d*e*f)/3) + x^5*((a^2*d^2*f^2)/5 + (b^2*c^2*f^2)/5 + (b^2*d^2*e^2)/5 + (4*a*b*c*d*f^2)/5 + (4*a*b*d^2*e*f)/5 + (4*b^2*c*d*e*f)/5) + a^2*c^2*e^2*x + (b^2*d^2*f^2*x^7)/7 + a*c*e*x^2*(a*c*f + a*d*e + b*c*e) + (b*d*f*x^6*(a*d*f + b*c*f + b*d*e))/3","B"
17,1,54,56,0.044849,"\text{Not used}","int(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3,x)","\frac{b\,d\,f\,x^4}{4}+\left(\frac{a\,d\,f}{3}+\frac{b\,c\,f}{3}+\frac{b\,d\,e}{3}\right)\,x^3+\left(\frac{a\,c\,f}{2}+\frac{a\,d\,e}{2}+\frac{b\,c\,e}{2}\right)\,x^2+a\,c\,e\,x","Not used",1,"x^2*((a*c*f)/2 + (a*d*e)/2 + (b*c*e)/2) + x^3*((a*d*f)/3 + (b*c*f)/3 + (b*d*e)/3) + a*c*e*x + (b*d*f*x^4)/4","B"
18,1,106,86,2.334622,"\text{Not used}","int(1/(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3),x)","\frac{b\,\ln\left(a+b\,x\right)}{b^2\,c\,e+a^2\,d\,f-a\,b\,c\,f-a\,b\,d\,e}+\frac{d\,\ln\left(c+d\,x\right)}{a\,d^2\,e+b\,c^2\,f-a\,c\,d\,f-b\,c\,d\,e}+\frac{f\,\ln\left(e+f\,x\right)}{a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f}","Not used",1,"(b*log(a + b*x))/(b^2*c*e + a^2*d*f - a*b*c*f - a*b*d*e) + (d*log(c + d*x))/(a*d^2*e + b*c^2*f - a*c*d*f - b*c*d*e) + (f*log(e + f*x))/(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)","B"
19,1,1940,234,8.176092,"\text{Not used}","int(1/(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3)^2,x)","-\frac{\frac{a^3\,c\,d^2\,f^3+a^3\,d^3\,e\,f^2-2\,a^2\,b\,c^2\,d\,f^3-2\,a^2\,b\,d^3\,e^2\,f+a\,b^2\,c^3\,f^3+a\,b^2\,d^3\,e^3+b^3\,c^3\,e\,f^2-2\,b^3\,c^2\,d\,e^2\,f+b^3\,c\,d^2\,e^3}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}+\frac{2\,x^2\,\left(a^2\,b\,d^3\,f^3-a\,b^2\,c\,d^2\,f^3-a\,b^2\,d^3\,e\,f^2+b^3\,c^2\,d\,f^3-b^3\,c\,d^2\,e\,f^2+b^3\,d^3\,e^2\,f\right)}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}-\frac{x\,\left(-2\,a^3\,d^3\,f^3+a^2\,b\,c\,d^2\,f^3+a^2\,b\,d^3\,e\,f^2+a\,b^2\,c^2\,d\,f^3+a\,b^2\,d^3\,e^2\,f-2\,b^3\,c^3\,f^3+b^3\,c^2\,d\,e\,f^2+b^3\,c\,d^2\,e^2\,f-2\,b^3\,d^3\,e^3\right)}{a^4\,c^2\,d^2\,f^4-2\,a^4\,c\,d^3\,e\,f^3+a^4\,d^4\,e^2\,f^2-2\,a^3\,b\,c^3\,d\,f^4+2\,a^3\,b\,c^2\,d^2\,e\,f^3+2\,a^3\,b\,c\,d^3\,e^2\,f^2-2\,a^3\,b\,d^4\,e^3\,f+a^2\,b^2\,c^4\,f^4+2\,a^2\,b^2\,c^3\,d\,e\,f^3-6\,a^2\,b^2\,c^2\,d^2\,e^2\,f^2+2\,a^2\,b^2\,c\,d^3\,e^3\,f+a^2\,b^2\,d^4\,e^4-2\,a\,b^3\,c^4\,e\,f^3+2\,a\,b^3\,c^3\,d\,e^2\,f^2+2\,a\,b^3\,c^2\,d^2\,e^3\,f-2\,a\,b^3\,c\,d^3\,e^4+b^4\,c^4\,e^2\,f^2-2\,b^4\,c^3\,d\,e^3\,f+b^4\,c^2\,d^2\,e^4}}{b\,d\,f\,x^3+\left(a\,d\,f+b\,c\,f+b\,d\,e\right)\,x^2+\left(a\,c\,f+a\,d\,e+b\,c\,e\right)\,x+a\,c\,e}-\frac{\ln\left(a+b\,x\right)\,\left(b^4\,\left(2\,c\,f+2\,d\,e\right)-4\,a\,b^3\,d\,f\right)}{a^6\,d^3\,f^3-3\,a^5\,b\,c\,d^2\,f^3-3\,a^5\,b\,d^3\,e\,f^2+3\,a^4\,b^2\,c^2\,d\,f^3+9\,a^4\,b^2\,c\,d^2\,e\,f^2+3\,a^4\,b^2\,d^3\,e^2\,f-a^3\,b^3\,c^3\,f^3-9\,a^3\,b^3\,c^2\,d\,e\,f^2-9\,a^3\,b^3\,c\,d^2\,e^2\,f-a^3\,b^3\,d^3\,e^3+3\,a^2\,b^4\,c^3\,e\,f^2+9\,a^2\,b^4\,c^2\,d\,e^2\,f+3\,a^2\,b^4\,c\,d^2\,e^3-3\,a\,b^5\,c^3\,e^2\,f-3\,a\,b^5\,c^2\,d\,e^3+b^6\,c^3\,e^3}-\frac{\ln\left(c+d\,x\right)\,\left(d^4\,\left(2\,a\,f+2\,b\,e\right)-4\,b\,c\,d^3\,f\right)}{-a^3\,c^3\,d^3\,f^3+3\,a^3\,c^2\,d^4\,e\,f^2-3\,a^3\,c\,d^5\,e^2\,f+a^3\,d^6\,e^3+3\,a^2\,b\,c^4\,d^2\,f^3-9\,a^2\,b\,c^3\,d^3\,e\,f^2+9\,a^2\,b\,c^2\,d^4\,e^2\,f-3\,a^2\,b\,c\,d^5\,e^3-3\,a\,b^2\,c^5\,d\,f^3+9\,a\,b^2\,c^4\,d^2\,e\,f^2-9\,a\,b^2\,c^3\,d^3\,e^2\,f+3\,a\,b^2\,c^2\,d^4\,e^3+b^3\,c^6\,f^3-3\,b^3\,c^5\,d\,e\,f^2+3\,b^3\,c^4\,d^2\,e^2\,f-b^3\,c^3\,d^3\,e^3}-\frac{\ln\left(e+f\,x\right)\,\left(f^4\,\left(2\,a\,d+2\,b\,c\right)-4\,b\,d\,e\,f^3\right)}{a^3\,c^3\,f^6-3\,a^3\,c^2\,d\,e\,f^5+3\,a^3\,c\,d^2\,e^2\,f^4-a^3\,d^3\,e^3\,f^3-3\,a^2\,b\,c^3\,e\,f^5+9\,a^2\,b\,c^2\,d\,e^2\,f^4-9\,a^2\,b\,c\,d^2\,e^3\,f^3+3\,a^2\,b\,d^3\,e^4\,f^2+3\,a\,b^2\,c^3\,e^2\,f^4-9\,a\,b^2\,c^2\,d\,e^3\,f^3+9\,a\,b^2\,c\,d^2\,e^4\,f^2-3\,a\,b^2\,d^3\,e^5\,f-b^3\,c^3\,e^3\,f^3+3\,b^3\,c^2\,d\,e^4\,f^2-3\,b^3\,c\,d^2\,e^5\,f+b^3\,d^3\,e^6}","Not used",1,"- ((a*b^2*c^3*f^3 + a*b^2*d^3*e^3 + a^3*c*d^2*f^3 + b^3*c*d^2*e^3 + a^3*d^3*e*f^2 + b^3*c^3*e*f^2 - 2*a^2*b*c^2*d*f^3 - 2*a^2*b*d^3*e^2*f - 2*b^3*c^2*d*e^2*f)/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2) + (2*x^2*(a^2*b*d^3*f^3 + b^3*c^2*d*f^3 + b^3*d^3*e^2*f - a*b^2*c*d^2*f^3 - a*b^2*d^3*e*f^2 - b^3*c*d^2*e*f^2))/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2) - (x*(a*b^2*c^2*d*f^3 - 2*b^3*c^3*f^3 - 2*b^3*d^3*e^3 - 2*a^3*d^3*f^3 + a^2*b*c*d^2*f^3 + a*b^2*d^3*e^2*f + a^2*b*d^3*e*f^2 + b^3*c*d^2*e^2*f + b^3*c^2*d*e*f^2))/(a^2*b^2*c^4*f^4 + a^2*b^2*d^4*e^4 + a^4*c^2*d^2*f^4 + b^4*c^2*d^2*e^4 + a^4*d^4*e^2*f^2 + b^4*c^4*e^2*f^2 - 2*a*b^3*c*d^3*e^4 - 2*a^3*b*c^3*d*f^4 - 2*a*b^3*c^4*e*f^3 - 2*a^3*b*d^4*e^3*f - 2*a^4*c*d^3*e*f^3 - 2*b^4*c^3*d*e^3*f + 2*a*b^3*c^2*d^2*e^3*f + 2*a*b^3*c^3*d*e^2*f^2 + 2*a^2*b^2*c*d^3*e^3*f + 2*a^2*b^2*c^3*d*e*f^3 + 2*a^3*b*c*d^3*e^2*f^2 + 2*a^3*b*c^2*d^2*e*f^3 - 6*a^2*b^2*c^2*d^2*e^2*f^2))/(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3) - (log(a + b*x)*(b^4*(2*c*f + 2*d*e) - 4*a*b^3*d*f))/(b^6*c^3*e^3 + a^6*d^3*f^3 - a^3*b^3*c^3*f^3 - a^3*b^3*d^3*e^3 - 3*a*b^5*c^2*d*e^3 - 3*a^5*b*c*d^2*f^3 - 3*a*b^5*c^3*e^2*f - 3*a^5*b*d^3*e*f^2 + 3*a^2*b^4*c*d^2*e^3 + 3*a^4*b^2*c^2*d*f^3 + 3*a^2*b^4*c^3*e*f^2 + 3*a^4*b^2*d^3*e^2*f + 9*a^2*b^4*c^2*d*e^2*f - 9*a^3*b^3*c*d^2*e^2*f - 9*a^3*b^3*c^2*d*e*f^2 + 9*a^4*b^2*c*d^2*e*f^2) - (log(c + d*x)*(d^4*(2*a*f + 2*b*e) - 4*b*c*d^3*f))/(a^3*d^6*e^3 + b^3*c^6*f^3 - a^3*c^3*d^3*f^3 - b^3*c^3*d^3*e^3 - 3*a^2*b*c*d^5*e^3 - 3*a*b^2*c^5*d*f^3 - 3*a^3*c*d^5*e^2*f - 3*b^3*c^5*d*e*f^2 + 3*a*b^2*c^2*d^4*e^3 + 3*a^2*b*c^4*d^2*f^3 + 3*a^3*c^2*d^4*e*f^2 + 3*b^3*c^4*d^2*e^2*f - 9*a*b^2*c^3*d^3*e^2*f + 9*a*b^2*c^4*d^2*e*f^2 + 9*a^2*b*c^2*d^4*e^2*f - 9*a^2*b*c^3*d^3*e*f^2) - (log(e + f*x)*(f^4*(2*a*d + 2*b*c) - 4*b*d*e*f^3))/(a^3*c^3*f^6 + b^3*d^3*e^6 - a^3*d^3*e^3*f^3 - b^3*c^3*e^3*f^3 - 3*a^2*b*c^3*e*f^5 - 3*a*b^2*d^3*e^5*f - 3*a^3*c^2*d*e*f^5 - 3*b^3*c*d^2*e^5*f + 3*a*b^2*c^3*e^2*f^4 + 3*a^2*b*d^3*e^4*f^2 + 3*a^3*c*d^2*e^2*f^4 + 3*b^3*c^2*d*e^4*f^2 + 9*a*b^2*c*d^2*e^4*f^2 - 9*a*b^2*c^2*d*e^3*f^3 - 9*a^2*b*c*d^2*e^3*f^3 + 9*a^2*b*c^2*d*e^2*f^4)","B"
20,1,82532,495,20.455777,"\text{Not used}","int(1/(x^2*(a*d*f + b*c*f + b*d*e) + x*(a*c*f + a*d*e + b*c*e) + a*c*e + b*d*f*x^3)^3,x)","\left(\sum 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1070*a^10*b^10*c^18*d^2*e^2*f^18*z^3 - 1070*a^10*b^10*c^2*d^18*e^18*f^2*z^3 - 1070*a^2*b^18*c^18*d^2*e^10*f^10*z^3 - 1070*a^2*b^18*c^10*d^10*e^18*f^2*z^3 + 525*a^18*b^2*c^8*d^12*e^4*f^16*z^3 + 525*a^18*b^2*c^4*d^16*e^8*f^12*z^3 + 525*a^16*b^4*c^12*d^8*e^2*f^18*z^3 + 525*a^16*b^4*c^2*d^18*e^12*f^8*z^3 + 525*a^12*b^8*c^16*d^4*e^2*f^18*z^3 + 525*a^12*b^8*c^2*d^18*e^16*f^4*z^3 + 525*a^8*b^12*c^18*d^2*e^4*f^16*z^3 + 525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 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350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k)*((39*a^5*b^11*c^14*d^2*f^16 - 102*a^6*b^10*c^13*d^3*f^16 + 132*a^7*b^9*c^12*d^4*f^16 - 84*a^8*b^8*c^11*d^5*f^16 + 21*a^9*b^7*c^10*d^6*f^16 + 21*a^10*b^6*c^9*d^7*f^16 - 84*a^11*b^5*c^8*d^8*f^16 + 132*a^12*b^4*c^7*d^9*f^16 - 102*a^13*b^3*c^6*d^10*f^16 + 39*a^14*b^2*c^5*d^11*f^16 + 39*a^5*b^11*d^16*e^14*f^2 - 102*a^6*b^10*d^16*e^13*f^3 + 132*a^7*b^9*d^16*e^12*f^4 - 84*a^8*b^8*d^16*e^11*f^5 + 21*a^9*b^7*d^16*e^10*f^6 + 21*a^10*b^6*d^16*e^9*f^7 - 84*a^11*b^5*d^16*e^8*f^8 + 132*a^12*b^4*d^16*e^7*f^9 - 102*a^13*b^3*d^16*e^6*f^10 + 39*a^14*b^2*d^16*e^5*f^11 + 39*b^16*c^5*d^11*e^14*f^2 - 102*b^16*c^6*d^10*e^13*f^3 + 132*b^16*c^7*d^9*e^12*f^4 - 84*b^16*c^8*d^8*e^11*f^5 + 21*b^16*c^9*d^7*e^10*f^6 + 21*b^16*c^10*d^6*e^9*f^7 - 84*b^16*c^11*d^5*e^8*f^8 + 132*b^16*c^12*d^4*e^7*f^9 - 102*b^16*c^13*d^3*e^6*f^10 + 39*b^16*c^14*d^2*e^5*f^11 - 6*a^4*b^12*c^15*d*f^16 - 6*a^15*b*c^4*d^12*f^16 - 6*a^4*b^12*d^16*e^15*f - 6*a^15*b*d^16*e^4*f^12 - 6*b^16*c^4*d^12*e^15*f - 6*b^16*c^15*d*e^4*f^12 + 24*a*b^15*c^3*d^13*e^15*f + 24*a*b^15*c^15*d*e^3*f^13 + 24*a^3*b^13*c*d^15*e^15*f + 24*a^3*b^13*c^15*d*e*f^15 + 24*a^15*b*c*d^15*e^3*f^13 + 24*a^15*b*c^3*d^13*e*f^15 - 117*a*b^15*c^4*d^12*e^14*f^2 + 150*a*b^15*c^5*d^11*e^13*f^3 + 159*a*b^15*c^6*d^10*e^12*f^4 - 546*a*b^15*c^7*d^9*e^11*f^5 + 414*a*b^15*c^8*d^8*e^10*f^6 - 168*a*b^15*c^9*d^7*e^9*f^7 + 414*a*b^15*c^10*d^6*e^8*f^8 - 546*a*b^15*c^11*d^5*e^7*f^9 + 159*a*b^15*c^12*d^4*e^6*f^10 + 150*a*b^15*c^13*d^3*e^5*f^11 - 117*a*b^15*c^14*d^2*e^4*f^12 - 36*a^2*b^14*c^2*d^14*e^15*f - 36*a^2*b^14*c^15*d*e^2*f^14 - 117*a^4*b^12*c*d^15*e^14*f^2 - 117*a^4*b^12*c^14*d^2*e*f^15 + 150*a^5*b^11*c*d^15*e^13*f^3 + 150*a^5*b^11*c^13*d^3*e*f^15 + 159*a^6*b^10*c*d^15*e^12*f^4 + 159*a^6*b^10*c^12*d^4*e*f^15 - 546*a^7*b^9*c*d^15*e^11*f^5 - 546*a^7*b^9*c^11*d^5*e*f^15 + 414*a^8*b^8*c*d^15*e^10*f^6 + 414*a^8*b^8*c^10*d^6*e*f^15 - 168*a^9*b^7*c*d^15*e^9*f^7 - 168*a^9*b^7*c^9*d^7*e*f^15 + 414*a^10*b^6*c*d^15*e^8*f^8 + 414*a^10*b^6*c^8*d^8*e*f^15 - 546*a^11*b^5*c*d^15*e^7*f^9 - 546*a^11*b^5*c^7*d^9*e*f^15 + 159*a^12*b^4*c*d^15*e^6*f^10 + 159*a^12*b^4*c^6*d^10*e*f^15 + 150*a^13*b^3*c*d^15*e^5*f^11 + 150*a^13*b^3*c^5*d^11*e*f^15 - 117*a^14*b^2*c*d^15*e^4*f^12 - 117*a^14*b^2*c^4*d^12*e*f^15 - 36*a^15*b*c^2*d^14*e^2*f^14 + 78*a^2*b^14*c^3*d^13*e^14*f^2 + 318*a^2*b^14*c^4*d^12*e^13*f^3 - 1269*a^2*b^14*c^5*d^11*e^12*f^4 + 1134*a^2*b^14*c^6*d^10*e^11*f^5 + 618*a^2*b^14*c^7*d^9*e^10*f^6 - 843*a^2*b^14*c^8*d^8*e^9*f^7 - 843*a^2*b^14*c^9*d^7*e^8*f^8 + 618*a^2*b^14*c^10*d^6*e^7*f^9 + 1134*a^2*b^14*c^11*d^5*e^6*f^10 - 1269*a^2*b^14*c^12*d^4*e^5*f^11 + 318*a^2*b^14*c^13*d^3*e^4*f^12 + 78*a^2*b^14*c^14*d^2*e^3*f^13 + 78*a^3*b^13*c^2*d^14*e^14*f^2 - 732*a^3*b^13*c^3*d^13*e^13*f^3 + 978*a^3*b^13*c^4*d^12*e^12*f^4 + 1722*a^3*b^13*c^5*d^11*e^11*f^5 - 4548*a^3*b^13*c^6*d^10*e^10*f^6 + 1362*a^3*b^13*c^7*d^9*e^9*f^7 + 2232*a^3*b^13*c^8*d^8*e^8*f^8 + 1362*a^3*b^13*c^9*d^7*e^7*f^9 - 4548*a^3*b^13*c^10*d^6*e^6*f^10 + 1722*a^3*b^13*c^11*d^5*e^5*f^11 + 978*a^3*b^13*c^12*d^4*e^4*f^12 - 732*a^3*b^13*c^13*d^3*e^3*f^13 + 78*a^3*b^13*c^14*d^2*e^2*f^14 + 318*a^4*b^12*c^2*d^14*e^13*f^3 + 978*a^4*b^12*c^3*d^13*e^12*f^4 - 4452*a^4*b^12*c^4*d^12*e^11*f^5 + 3495*a^4*b^12*c^5*d^11*e^10*f^6 + 4302*a^4*b^12*c^6*d^10*e^9*f^7 - 4518*a^4*b^12*c^7*d^9*e^8*f^8 - 4518*a^4*b^12*c^8*d^8*e^7*f^9 + 4302*a^4*b^12*c^9*d^7*e^6*f^10 + 3495*a^4*b^12*c^10*d^6*e^5*f^11 - 4452*a^4*b^12*c^11*d^5*e^4*f^12 + 978*a^4*b^12*c^12*d^4*e^3*f^13 + 318*a^4*b^12*c^13*d^3*e^2*f^14 - 1269*a^5*b^11*c^2*d^14*e^12*f^4 + 1722*a^5*b^11*c^3*d^13*e^11*f^5 + 3495*a^5*b^11*c^4*d^12*e^10*f^6 - 9348*a^5*b^11*c^5*d^11*e^9*f^7 + 2799*a^5*b^11*c^6*d^10*e^8*f^8 + 4824*a^5*b^11*c^7*d^9*e^7*f^9 + 2799*a^5*b^11*c^8*d^8*e^6*f^10 - 9348*a^5*b^11*c^9*d^7*e^5*f^11 + 3495*a^5*b^11*c^10*d^6*e^4*f^12 + 1722*a^5*b^11*c^11*d^5*e^3*f^13 - 1269*a^5*b^11*c^12*d^4*e^2*f^14 + 1134*a^6*b^10*c^2*d^14*e^11*f^5 - 4548*a^6*b^10*c^3*d^13*e^10*f^6 + 4302*a^6*b^10*c^4*d^12*e^9*f^7 + 2799*a^6*b^10*c^5*d^11*e^8*f^8 - 3744*a^6*b^10*c^6*d^10*e^7*f^9 - 3744*a^6*b^10*c^7*d^9*e^6*f^10 + 2799*a^6*b^10*c^8*d^8*e^5*f^11 + 4302*a^6*b^10*c^9*d^7*e^4*f^12 - 4548*a^6*b^10*c^10*d^6*e^3*f^13 + 1134*a^6*b^10*c^11*d^5*e^2*f^14 + 618*a^7*b^9*c^2*d^14*e^10*f^6 + 1362*a^7*b^9*c^3*d^13*e^9*f^7 - 4518*a^7*b^9*c^4*d^12*e^8*f^8 + 4824*a^7*b^9*c^5*d^11*e^7*f^9 - 3744*a^7*b^9*c^6*d^10*e^6*f^10 + 4824*a^7*b^9*c^7*d^9*e^5*f^11 - 4518*a^7*b^9*c^8*d^8*e^4*f^12 + 1362*a^7*b^9*c^9*d^7*e^3*f^13 + 618*a^7*b^9*c^10*d^6*e^2*f^14 - 843*a^8*b^8*c^2*d^14*e^9*f^7 + 2232*a^8*b^8*c^3*d^13*e^8*f^8 - 4518*a^8*b^8*c^4*d^12*e^7*f^9 + 2799*a^8*b^8*c^5*d^11*e^6*f^10 + 2799*a^8*b^8*c^6*d^10*e^5*f^11 - 4518*a^8*b^8*c^7*d^9*e^4*f^12 + 2232*a^8*b^8*c^8*d^8*e^3*f^13 - 843*a^8*b^8*c^9*d^7*e^2*f^14 - 843*a^9*b^7*c^2*d^14*e^8*f^8 + 1362*a^9*b^7*c^3*d^13*e^7*f^9 + 4302*a^9*b^7*c^4*d^12*e^6*f^10 - 9348*a^9*b^7*c^5*d^11*e^5*f^11 + 4302*a^9*b^7*c^6*d^10*e^4*f^12 + 1362*a^9*b^7*c^7*d^9*e^3*f^13 - 843*a^9*b^7*c^8*d^8*e^2*f^14 + 618*a^10*b^6*c^2*d^14*e^7*f^9 - 4548*a^10*b^6*c^3*d^13*e^6*f^10 + 3495*a^10*b^6*c^4*d^12*e^5*f^11 + 3495*a^10*b^6*c^5*d^11*e^4*f^12 - 4548*a^10*b^6*c^6*d^10*e^3*f^13 + 618*a^10*b^6*c^7*d^9*e^2*f^14 + 1134*a^11*b^5*c^2*d^14*e^6*f^10 + 1722*a^11*b^5*c^3*d^13*e^5*f^11 - 4452*a^11*b^5*c^4*d^12*e^4*f^12 + 1722*a^11*b^5*c^5*d^11*e^3*f^13 + 1134*a^11*b^5*c^6*d^10*e^2*f^14 - 1269*a^12*b^4*c^2*d^14*e^5*f^11 + 978*a^12*b^4*c^3*d^13*e^4*f^12 + 978*a^12*b^4*c^4*d^12*e^3*f^13 - 1269*a^12*b^4*c^5*d^11*e^2*f^14 + 318*a^13*b^3*c^2*d^14*e^4*f^12 - 732*a^13*b^3*c^3*d^13*e^3*f^13 + 318*a^13*b^3*c^4*d^12*e^2*f^14 + 78*a^14*b^2*c^2*d^14*e^3*f^13 + 78*a^14*b^2*c^3*d^13*e^2*f^14)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) + root(756756*a^10*b^10*c^10*d^10*e^10*f^10*z^3 + 573300*a^12*b^8*c^9*d^11*e^9*f^11*z^3 + 573300*a^11*b^9*c^11*d^9*e^8*f^12*z^3 + 573300*a^11*b^9*c^8*d^12*e^11*f^9*z^3 + 573300*a^9*b^11*c^12*d^8*e^9*f^11*z^3 + 573300*a^9*b^11*c^9*d^11*e^12*f^8*z^3 + 573300*a^8*b^12*c^11*d^9*e^11*f^9*z^3 - 343980*a^11*b^9*c^10*d^10*e^9*f^11*z^3 - 343980*a^11*b^9*c^9*d^11*e^10*f^10*z^3 - 343980*a^10*b^10*c^11*d^9*e^9*f^11*z^3 - 343980*a^10*b^10*c^9*d^11*e^11*f^9*z^3 - 343980*a^9*b^11*c^11*d^9*e^10*f^10*z^3 - 343980*a^9*b^11*c^10*d^10*e^11*f^9*z^3 + 326340*a^13*b^7*c^10*d^10*e^7*f^13*z^3 + 326340*a^13*b^7*c^7*d^13*e^10*f^10*z^3 + 326340*a^10*b^10*c^13*d^7*e^7*f^13*z^3 + 326340*a^10*b^10*c^7*d^13*e^13*f^7*z^3 + 326340*a^7*b^13*c^13*d^7*e^10*f^10*z^3 + 326340*a^7*b^13*c^10*d^10*e^13*f^7*z^3 - 267540*a^12*b^8*c^10*d^10*e^8*f^12*z^3 - 267540*a^12*b^8*c^8*d^12*e^10*f^10*z^3 - 267540*a^10*b^10*c^12*d^8*e^8*f^12*z^3 - 267540*a^10*b^10*c^8*d^12*e^12*f^8*z^3 - 267540*a^8*b^12*c^12*d^8*e^10*f^10*z^3 - 267540*a^8*b^12*c^10*d^10*e^12*f^8*z^3 + 245700*a^14*b^6*c^8*d^12*e^8*f^12*z^3 + 245700*a^12*b^8*c^12*d^8*e^6*f^14*z^3 + 245700*a^12*b^8*c^6*d^14*e^12*f^8*z^3 + 245700*a^8*b^12*c^14*d^6*e^8*f^12*z^3 + 245700*a^8*b^12*c^8*d^12*e^14*f^6*z^3 + 245700*a^6*b^14*c^12*d^8*e^12*f^8*z^3 - 191100*a^13*b^7*c^9*d^11*e^8*f^12*z^3 - 191100*a^13*b^7*c^8*d^12*e^9*f^11*z^3 - 191100*a^12*b^8*c^11*d^9*e^7*f^13*z^3 - 191100*a^12*b^8*c^7*d^13*e^11*f^9*z^3 - 191100*a^11*b^9*c^12*d^8*e^7*f^13*z^3 - 191100*a^11*b^9*c^7*d^13*e^12*f^8*z^3 - 191100*a^9*b^11*c^13*d^7*e^8*f^12*z^3 - 191100*a^9*b^11*c^8*d^12*e^13*f^7*z^3 - 191100*a^8*b^12*c^13*d^7*e^9*f^11*z^3 - 191100*a^8*b^12*c^9*d^11*e^13*f^7*z^3 - 191100*a^7*b^13*c^12*d^8*e^11*f^9*z^3 - 191100*a^7*b^13*c^11*d^9*e^12*f^8*z^3 - 123900*a^14*b^6*c^9*d^11*e^7*f^13*z^3 - 123900*a^14*b^6*c^7*d^13*e^9*f^11*z^3 - 123900*a^13*b^7*c^11*d^9*e^6*f^14*z^3 - 123900*a^13*b^7*c^6*d^14*e^11*f^9*z^3 - 123900*a^11*b^9*c^13*d^7*e^6*f^14*z^3 - 123900*a^11*b^9*c^6*d^14*e^13*f^7*z^3 - 123900*a^9*b^11*c^14*d^6*e^7*f^13*z^3 - 123900*a^9*b^11*c^7*d^13*e^14*f^6*z^3 - 123900*a^7*b^13*c^14*d^6*e^9*f^11*z^3 - 123900*a^7*b^13*c^9*d^11*e^14*f^6*z^3 - 123900*a^6*b^14*c^13*d^7*e^11*f^9*z^3 - 123900*a^6*b^14*c^11*d^9*e^13*f^7*z^3 + 101700*a^15*b^5*c^9*d^11*e^6*f^14*z^3 + 101700*a^15*b^5*c^6*d^14*e^9*f^11*z^3 + 101700*a^14*b^6*c^11*d^9*e^5*f^15*z^3 + 101700*a^14*b^6*c^5*d^15*e^11*f^9*z^3 + 101700*a^11*b^9*c^14*d^6*e^5*f^15*z^3 + 101700*a^11*b^9*c^5*d^15*e^14*f^6*z^3 + 101700*a^9*b^11*c^15*d^5*e^6*f^14*z^3 + 101700*a^9*b^11*c^6*d^14*e^15*f^5*z^3 + 101700*a^6*b^14*c^15*d^5*e^9*f^11*z^3 + 101700*a^6*b^14*c^9*d^11*e^15*f^5*z^3 + 101700*a^5*b^15*c^14*d^6*e^11*f^9*z^3 + 101700*a^5*b^15*c^11*d^9*e^14*f^6*z^3 - 65820*a^14*b^6*c^10*d^10*e^6*f^14*z^3 - 65820*a^14*b^6*c^6*d^14*e^10*f^10*z^3 - 65820*a^10*b^10*c^14*d^6*e^6*f^14*z^3 - 65820*a^10*b^10*c^6*d^14*e^14*f^6*z^3 - 65820*a^6*b^14*c^14*d^6*e^10*f^10*z^3 - 65820*a^6*b^14*c^10*d^10*e^14*f^6*z^3 + 56700*a^16*b^4*c^7*d^13*e^7*f^13*z^3 - 56700*a^15*b^5*c^8*d^12*e^7*f^13*z^3 - 56700*a^15*b^5*c^7*d^13*e^8*f^12*z^3 + 56700*a^13*b^7*c^13*d^7*e^4*f^16*z^3 - 56700*a^13*b^7*c^12*d^8*e^5*f^15*z^3 - 56700*a^13*b^7*c^5*d^15*e^12*f^8*z^3 + 56700*a^13*b^7*c^4*d^16*e^13*f^7*z^3 - 56700*a^12*b^8*c^13*d^7*e^5*f^15*z^3 - 56700*a^12*b^8*c^5*d^15*e^13*f^7*z^3 - 56700*a^8*b^12*c^15*d^5*e^7*f^13*z^3 - 56700*a^8*b^12*c^7*d^13*e^15*f^5*z^3 + 56700*a^7*b^13*c^16*d^4*e^7*f^13*z^3 - 56700*a^7*b^13*c^15*d^5*e^8*f^12*z^3 - 56700*a^7*b^13*c^8*d^12*e^15*f^5*z^3 + 56700*a^7*b^13*c^7*d^13*e^16*f^4*z^3 - 56700*a^5*b^15*c^13*d^7*e^12*f^8*z^3 - 56700*a^5*b^15*c^12*d^8*e^13*f^7*z^3 + 56700*a^4*b^16*c^13*d^7*e^13*f^7*z^3 - 48252*a^15*b^5*c^10*d^10*e^5*f^15*z^3 - 48252*a^15*b^5*c^5*d^15*e^10*f^10*z^3 - 48252*a^10*b^10*c^15*d^5*e^5*f^15*z^3 - 48252*a^10*b^10*c^5*d^15*e^15*f^5*z^3 - 48252*a^5*b^15*c^15*d^5*e^10*f^10*z^3 - 48252*a^5*b^15*c^10*d^10*e^15*f^5*z^3 - 32400*a^16*b^4*c^8*d^12*e^6*f^14*z^3 - 32400*a^16*b^4*c^6*d^14*e^8*f^12*z^3 - 32400*a^14*b^6*c^12*d^8*e^4*f^16*z^3 - 32400*a^14*b^6*c^4*d^16*e^12*f^8*z^3 - 32400*a^12*b^8*c^14*d^6*e^4*f^16*z^3 - 32400*a^12*b^8*c^4*d^16*e^14*f^6*z^3 - 32400*a^8*b^12*c^16*d^4*e^6*f^14*z^3 - 32400*a^8*b^12*c^6*d^14*e^16*f^4*z^3 - 32400*a^6*b^14*c^16*d^4*e^8*f^12*z^3 - 32400*a^6*b^14*c^8*d^12*e^16*f^4*z^3 - 32400*a^4*b^16*c^14*d^6*e^12*f^8*z^3 - 32400*a^4*b^16*c^12*d^8*e^14*f^6*z^3 + 20565*a^16*b^4*c^10*d^10*e^4*f^16*z^3 + 20565*a^16*b^4*c^4*d^16*e^10*f^10*z^3 + 20565*a^10*b^10*c^16*d^4*e^4*f^16*z^3 + 20565*a^10*b^10*c^4*d^16*e^16*f^4*z^3 + 20565*a^4*b^16*c^16*d^4*e^10*f^10*z^3 + 20565*a^4*b^16*c^10*d^10*e^16*f^4*z^3 + 15660*a^17*b^3*c^8*d^12*e^5*f^15*z^3 + 15660*a^17*b^3*c^5*d^15*e^8*f^12*z^3 + 15660*a^15*b^5*c^12*d^8*e^3*f^17*z^3 + 15660*a^15*b^5*c^3*d^17*e^12*f^8*z^3 + 15660*a^12*b^8*c^15*d^5*e^3*f^17*z^3 + 15660*a^12*b^8*c^3*d^17*e^15*f^5*z^3 + 15660*a^8*b^12*c^17*d^3*e^5*f^15*z^3 + 15660*a^8*b^12*c^5*d^15*e^17*f^3*z^3 + 15660*a^5*b^15*c^17*d^3*e^8*f^12*z^3 + 15660*a^5*b^15*c^8*d^12*e^17*f^3*z^3 + 15660*a^3*b^17*c^15*d^5*e^12*f^8*z^3 + 15660*a^3*b^17*c^12*d^8*e^15*f^5*z^3 - 9750*a^17*b^3*c^9*d^11*e^4*f^16*z^3 - 9750*a^17*b^3*c^4*d^16*e^9*f^11*z^3 - 9750*a^16*b^4*c^11*d^9*e^3*f^17*z^3 - 9750*a^16*b^4*c^3*d^17*e^11*f^9*z^3 - 9750*a^11*b^9*c^16*d^4*e^3*f^17*z^3 - 9750*a^11*b^9*c^3*d^17*e^16*f^4*z^3 - 9750*a^9*b^11*c^17*d^3*e^4*f^16*z^3 - 9750*a^9*b^11*c^4*d^16*e^17*f^3*z^3 - 9750*a^4*b^16*c^17*d^3*e^9*f^11*z^3 - 9750*a^4*b^16*c^9*d^11*e^17*f^3*z^3 - 9750*a^3*b^17*c^16*d^4*e^11*f^9*z^3 - 9750*a^3*b^17*c^11*d^9*e^16*f^4*z^3 - 8100*a^17*b^3*c^7*d^13*e^6*f^14*z^3 - 8100*a^17*b^3*c^6*d^14*e^7*f^13*z^3 - 8100*a^14*b^6*c^13*d^7*e^3*f^17*z^3 - 8100*a^14*b^6*c^3*d^17*e^13*f^7*z^3 - 8100*a^13*b^7*c^14*d^6*e^3*f^17*z^3 - 8100*a^13*b^7*c^3*d^17*e^14*f^6*z^3 - 8100*a^7*b^13*c^17*d^3*e^6*f^14*z^3 - 8100*a^7*b^13*c^6*d^14*e^17*f^3*z^3 - 8100*a^6*b^14*c^17*d^3*e^7*f^13*z^3 - 8100*a^6*b^14*c^7*d^13*e^17*f^3*z^3 - 8100*a^3*b^17*c^14*d^6*e^13*f^7*z^3 - 8100*a^3*b^17*c^13*d^7*e^14*f^6*z^3 - 7980*a^16*b^4*c^9*d^11*e^5*f^15*z^3 - 7980*a^16*b^4*c^5*d^15*e^9*f^11*z^3 - 7980*a^15*b^5*c^11*d^9*e^4*f^16*z^3 - 7980*a^15*b^5*c^4*d^16*e^11*f^9*z^3 - 7980*a^11*b^9*c^15*d^5*e^4*f^16*z^3 - 7980*a^11*b^9*c^4*d^16*e^15*f^5*z^3 - 7980*a^9*b^11*c^16*d^4*e^5*f^15*z^3 - 7980*a^9*b^11*c^5*d^15*e^16*f^4*z^3 - 7980*a^5*b^15*c^16*d^4*e^9*f^11*z^3 - 7980*a^5*b^15*c^9*d^11*e^16*f^4*z^3 - 7980*a^4*b^16*c^15*d^5*e^11*f^9*z^3 - 7980*a^4*b^16*c^11*d^9*e^15*f^5*z^3 + 6300*a^18*b^2*c^6*d^14*e^6*f^14*z^3 + 6300*a^14*b^6*c^14*d^6*e^2*f^18*z^3 + 6300*a^14*b^6*c^2*d^18*e^14*f^6*z^3 + 6300*a^6*b^14*c^18*d^2*e^6*f^14*z^3 + 6300*a^6*b^14*c^6*d^14*e^18*f^2*z^3 + 6300*a^2*b^18*c^14*d^6*e^14*f^6*z^3 - 4260*a^18*b^2*c^7*d^13*e^5*f^15*z^3 - 4260*a^18*b^2*c^5*d^15*e^7*f^13*z^3 - 4260*a^15*b^5*c^13*d^7*e^2*f^18*z^3 - 4260*a^15*b^5*c^2*d^18*e^13*f^7*z^3 - 4260*a^13*b^7*c^15*d^5*e^2*f^18*z^3 - 4260*a^13*b^7*c^2*d^18*e^15*f^5*z^3 - 4260*a^7*b^13*c^18*d^2*e^5*f^15*z^3 - 4260*a^7*b^13*c^5*d^15*e^18*f^2*z^3 - 4260*a^5*b^15*c^18*d^2*e^7*f^13*z^3 - 4260*a^5*b^15*c^7*d^13*e^18*f^2*z^3 - 4260*a^2*b^18*c^15*d^5*e^13*f^7*z^3 - 4260*a^2*b^18*c^13*d^7*e^15*f^5*z^3 + 1470*a^17*b^3*c^10*d^10*e^3*f^17*z^3 + 1470*a^17*b^3*c^3*d^17*e^10*f^10*z^3 + 1470*a^10*b^10*c^17*d^3*e^3*f^17*z^3 + 1470*a^10*b^10*c^3*d^17*e^17*f^3*z^3 + 1470*a^3*b^17*c^17*d^3*e^10*f^10*z^3 + 1470*a^3*b^17*c^10*d^10*e^17*f^3*z^3 + 1350*a^18*b^2*c^9*d^11*e^3*f^17*z^3 + 1350*a^18*b^2*c^3*d^17*e^9*f^11*z^3 + 1350*a^17*b^3*c^11*d^9*e^2*f^18*z^3 + 1350*a^17*b^3*c^2*d^18*e^11*f^9*z^3 + 1350*a^11*b^9*c^17*d^3*e^2*f^18*z^3 + 1350*a^11*b^9*c^2*d^18*e^17*f^3*z^3 + 1350*a^9*b^11*c^18*d^2*e^3*f^17*z^3 + 1350*a^9*b^11*c^3*d^17*e^18*f^2*z^3 + 1350*a^3*b^17*c^18*d^2*e^9*f^11*z^3 + 1350*a^3*b^17*c^9*d^11*e^18*f^2*z^3 + 1350*a^2*b^18*c^17*d^3*e^11*f^9*z^3 + 1350*a^2*b^18*c^11*d^9*e^17*f^3*z^3 - 1070*a^18*b^2*c^10*d^10*e^2*f^18*z^3 - 1070*a^18*b^2*c^2*d^18*e^10*f^10*z^3 - 1070*a^10*b^10*c^18*d^2*e^2*f^18*z^3 - 1070*a^10*b^10*c^2*d^18*e^18*f^2*z^3 - 1070*a^2*b^18*c^18*d^2*e^10*f^10*z^3 - 1070*a^2*b^18*c^10*d^10*e^18*f^2*z^3 + 525*a^18*b^2*c^8*d^12*e^4*f^16*z^3 + 525*a^18*b^2*c^4*d^16*e^8*f^12*z^3 + 525*a^16*b^4*c^12*d^8*e^2*f^18*z^3 + 525*a^16*b^4*c^2*d^18*e^12*f^8*z^3 + 525*a^12*b^8*c^16*d^4*e^2*f^18*z^3 + 525*a^12*b^8*c^2*d^18*e^16*f^4*z^3 + 525*a^8*b^12*c^18*d^2*e^4*f^16*z^3 + 525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 900*a*b^19*c^13*d^7*e^16*f^4*z^3 - 750*a^19*b*c^8*d^12*e^3*f^17*z^3 - 750*a^19*b*c^3*d^17*e^8*f^12*z^3 - 750*a^17*b^3*c^12*d^8*e*f^19*z^3 - 750*a^17*b^3*c*d^19*e^12*f^8*z^3 - 750*a^12*b^8*c^17*d^3*e*f^19*z^3 - 750*a^12*b^8*c*d^19*e^17*f^3*z^3 - 750*a^8*b^12*c^19*d*e^3*f^17*z^3 - 750*a^8*b^12*c^3*d^17*e^19*f*z^3 - 750*a^3*b^17*c^19*d*e^8*f^12*z^3 - 750*a^3*b^17*c^8*d^12*e^19*f*z^3 - 750*a*b^19*c^17*d^3*e^12*f^8*z^3 - 750*a*b^19*c^12*d^8*e^17*f^3*z^3 - 420*a^19*b*c^6*d^14*e^5*f^15*z^3 - 420*a^19*b*c^5*d^15*e^6*f^14*z^3 - 420*a^15*b^5*c^14*d^6*e*f^19*z^3 - 420*a^15*b^5*c*d^19*e^14*f^6*z^3 - 420*a^14*b^6*c^15*d^5*e*f^19*z^3 - 420*a^14*b^6*c*d^19*e^15*f^5*z^3 - 420*a^6*b^14*c^19*d*e^5*f^15*z^3 - 420*a^6*b^14*c^5*d^15*e^19*f*z^3 - 420*a^5*b^15*c^19*d*e^6*f^14*z^3 - 420*a^5*b^15*c^6*d^14*e^19*f*z^3 - 420*a*b^19*c^15*d^5*e^14*f^6*z^3 - 420*a*b^19*c^14*d^6*e^15*f^5*z^3 + 350*a^19*b*c^9*d^11*e^2*f^18*z^3 + 350*a^19*b*c^2*d^18*e^9*f^11*z^3 + 350*a^18*b^2*c^11*d^9*e*f^19*z^3 + 350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k)*((20*a^11*b^8*c^16*d^3*f^19 - 7*a^10*b^9*c^17*d^2*f^19 - 28*a^12*b^7*c^15*d^4*f^19 + 14*a^13*b^6*c^14*d^5*f^19 + 14*a^14*b^5*c^13*d^6*f^19 - 28*a^15*b^4*c^12*d^7*f^19 + 20*a^16*b^3*c^11*d^8*f^19 - 7*a^17*b^2*c^10*d^9*f^19 - 7*a^10*b^9*d^19*e^17*f^2 + 20*a^11*b^8*d^19*e^16*f^3 - 28*a^12*b^7*d^19*e^15*f^4 + 14*a^13*b^6*d^19*e^14*f^5 + 14*a^14*b^5*d^19*e^13*f^6 - 28*a^15*b^4*d^19*e^12*f^7 + 20*a^16*b^3*d^19*e^11*f^8 - 7*a^17*b^2*d^19*e^10*f^9 - 7*b^19*c^10*d^9*e^17*f^2 + 20*b^19*c^11*d^8*e^16*f^3 - 28*b^19*c^12*d^7*e^15*f^4 + 14*b^19*c^13*d^6*e^14*f^5 + 14*b^19*c^14*d^5*e^13*f^6 - 28*b^19*c^15*d^4*e^12*f^7 + 20*b^19*c^16*d^3*e^11*f^8 - 7*b^19*c^17*d^2*e^10*f^9 + a^9*b^10*c^18*d*f^19 + a^18*b*c^9*d^10*f^19 + a^9*b^10*d^19*e^18*f + a^18*b*d^19*e^9*f^10 + b^19*c^9*d^10*e^18*f + b^19*c^18*d*e^9*f^10 - 7*a*b^18*c^8*d^11*e^18*f - 7*a*b^18*c^18*d*e^8*f^11 - 7*a^8*b^11*c*d^18*e^18*f - 7*a^8*b^11*c^18*d*e*f^18 - 7*a^18*b*c*d^18*e^8*f^11 - 7*a^18*b*c^8*d^11*e*f^18 + 34*a*b^18*c^9*d^10*e^17*f^2 - 27*a*b^18*c^10*d^9*e^16*f^3 - 168*a*b^18*c^11*d^8*e^15*f^4 + 546*a*b^18*c^12*d^7*e^14*f^5 - 756*a*b^18*c^13*d^6*e^13*f^6 + 546*a*b^18*c^14*d^5*e^12*f^7 - 168*a*b^18*c^15*d^4*e^11*f^8 - 27*a*b^18*c^16*d^3*e^10*f^9 + 34*a*b^18*c^17*d^2*e^9*f^10 + 20*a^2*b^17*c^7*d^12*e^18*f + 20*a^2*b^17*c^18*d*e^7*f^12 - 28*a^3*b^16*c^6*d^13*e^18*f - 28*a^3*b^16*c^18*d*e^6*f^13 + 14*a^4*b^15*c^5*d^14*e^18*f + 14*a^4*b^15*c^18*d*e^5*f^14 + 14*a^5*b^14*c^4*d^15*e^18*f + 14*a^5*b^14*c^18*d*e^4*f^15 - 28*a^6*b^13*c^3*d^16*e^18*f - 28*a^6*b^13*c^18*d*e^3*f^16 + 20*a^7*b^12*c^2*d^17*e^18*f + 20*a^7*b^12*c^18*d*e^2*f^17 + 34*a^9*b^10*c*d^18*e^17*f^2 + 34*a^9*b^10*c^17*d^2*e*f^18 - 27*a^10*b^9*c*d^18*e^16*f^3 - 27*a^10*b^9*c^16*d^3*e*f^18 - 168*a^11*b^8*c*d^18*e^15*f^4 - 168*a^11*b^8*c^15*d^4*e*f^18 + 546*a^12*b^7*c*d^18*e^14*f^5 + 546*a^12*b^7*c^14*d^5*e*f^18 - 756*a^13*b^6*c*d^18*e^13*f^6 - 756*a^13*b^6*c^13*d^6*e*f^18 + 546*a^14*b^5*c*d^18*e^12*f^7 + 546*a^14*b^5*c^12*d^7*e*f^18 - 168*a^15*b^4*c*d^18*e^11*f^8 - 168*a^15*b^4*c^11*d^8*e*f^18 - 27*a^16*b^3*c*d^18*e^10*f^9 - 27*a^16*b^3*c^10*d^9*e*f^18 + 34*a^17*b^2*c*d^18*e^9*f^10 + 34*a^17*b^2*c^9*d^10*e*f^18 + 20*a^18*b*c^2*d^17*e^7*f^12 - 28*a^18*b*c^3*d^16*e^6*f^13 + 14*a^18*b*c^4*d^15*e^5*f^14 + 14*a^18*b*c^5*d^14*e^4*f^15 - 28*a^18*b*c^6*d^13*e^3*f^16 + 20*a^18*b*c^7*d^12*e^2*f^17 - 27*a^2*b^17*c^8*d^11*e^17*f^2 - 371*a^2*b^17*c^9*d^10*e^16*f^3 + 1560*a^2*b^17*c^10*d^9*e^15*f^4 - 2484*a^2*b^17*c^11*d^8*e^14*f^5 + 1302*a^2*b^17*c^12*d^7*e^13*f^6 + 1302*a^2*b^17*c^13*d^6*e^12*f^7 - 2484*a^2*b^17*c^14*d^5*e^11*f^8 + 1560*a^2*b^17*c^15*d^4*e^10*f^9 - 371*a^2*b^17*c^16*d^3*e^9*f^10 - 27*a^2*b^17*c^17*d^2*e^8*f^11 - 168*a^3*b^16*c^7*d^12*e^17*f^2 + 1560*a^3*b^16*c^8*d^11*e^16*f^3 - 3464*a^3*b^16*c^9*d^10*e^15*f^4 + 924*a^3*b^16*c^10*d^9*e^14*f^5 + 7728*a^3*b^16*c^11*d^8*e^13*f^6 - 13104*a^3*b^16*c^12*d^7*e^12*f^7 + 7728*a^3*b^16*c^13*d^6*e^11*f^8 + 924*a^3*b^16*c^14*d^5*e^10*f^9 - 3464*a^3*b^16*c^15*d^4*e^9*f^10 + 1560*a^3*b^16*c^16*d^3*e^8*f^11 - 168*a^3*b^16*c^17*d^2*e^7*f^12 + 546*a^4*b^15*c^6*d^13*e^17*f^2 - 2484*a^4*b^15*c^7*d^12*e^16*f^3 + 924*a^4*b^15*c^8*d^11*e^15*f^4 + 12550*a^4*b^15*c^9*d^10*e^14*f^5 - 26838*a^4*b^15*c^10*d^9*e^13*f^6 + 15288*a^4*b^15*c^11*d^8*e^12*f^7 + 15288*a^4*b^15*c^12*d^7*e^11*f^8 - 26838*a^4*b^15*c^13*d^6*e^10*f^9 + 12550*a^4*b^15*c^14*d^5*e^9*f^10 + 924*a^4*b^15*c^15*d^4*e^8*f^11 - 2484*a^4*b^15*c^16*d^3*e^7*f^12 + 546*a^4*b^15*c^17*d^2*e^6*f^13 - 756*a^5*b^14*c^5*d^14*e^17*f^2 + 1302*a^5*b^14*c^6*d^13*e^16*f^3 + 7728*a^5*b^14*c^7*d^12*e^15*f^4 - 26838*a^5*b^14*c^8*d^11*e^14*f^5 + 18004*a^5*b^14*c^9*d^10*e^13*f^6 + 39858*a^5*b^14*c^10*d^9*e^12*f^7 - 78624*a^5*b^14*c^11*d^8*e^11*f^8 + 39858*a^5*b^14*c^12*d^7*e^10*f^9 + 18004*a^5*b^14*c^13*d^6*e^9*f^10 - 26838*a^5*b^14*c^14*d^5*e^8*f^11 + 7728*a^5*b^14*c^15*d^4*e^7*f^12 + 1302*a^5*b^14*c^16*d^3*e^6*f^13 - 756*a^5*b^14*c^17*d^2*e^5*f^14 + 546*a^6*b^13*c^4*d^15*e^17*f^2 + 1302*a^6*b^13*c^5*d^14*e^16*f^3 - 13104*a^6*b^13*c^6*d^13*e^15*f^4 + 15288*a^6*b^13*c^7*d^12*e^14*f^5 + 39858*a^6*b^13*c^8*d^11*e^13*f^6 - 110474*a^6*b^13*c^9*d^10*e^12*f^7 + 66612*a^6*b^13*c^10*d^9*e^11*f^8 + 66612*a^6*b^13*c^11*d^8*e^10*f^9 - 110474*a^6*b^13*c^12*d^7*e^9*f^10 + 39858*a^6*b^13*c^13*d^6*e^8*f^11 + 15288*a^6*b^13*c^14*d^5*e^7*f^12 - 13104*a^6*b^13*c^15*d^4*e^6*f^13 + 1302*a^6*b^13*c^16*d^3*e^5*f^14 + 546*a^6*b^13*c^17*d^2*e^4*f^15 - 168*a^7*b^12*c^3*d^16*e^17*f^2 - 2484*a^7*b^12*c^4*d^15*e^16*f^3 + 7728*a^7*b^12*c^5*d^14*e^15*f^4 + 15288*a^7*b^12*c^6*d^13*e^14*f^5 - 78624*a^7*b^12*c^7*d^12*e^13*f^6 + 66612*a^7*b^12*c^8*d^11*e^12*f^7 + 99736*a^7*b^12*c^9*d^10*e^11*f^8 - 216216*a^7*b^12*c^10*d^9*e^10*f^9 + 99736*a^7*b^12*c^11*d^8*e^9*f^10 + 66612*a^7*b^12*c^12*d^7*e^8*f^11 - 78624*a^7*b^12*c^13*d^6*e^7*f^12 + 15288*a^7*b^12*c^14*d^5*e^6*f^13 + 7728*a^7*b^12*c^15*d^4*e^5*f^14 - 2484*a^7*b^12*c^16*d^3*e^4*f^15 - 168*a^7*b^12*c^17*d^2*e^3*f^16 - 27*a^8*b^11*c^2*d^17*e^17*f^2 + 1560*a^8*b^11*c^3*d^16*e^16*f^3 + 924*a^8*b^11*c^4*d^15*e^15*f^4 - 26838*a^8*b^11*c^5*d^14*e^14*f^5 + 39858*a^8*b^11*c^6*d^13*e^13*f^6 + 66612*a^8*b^11*c^7*d^12*e^12*f^7 - 216216*a^8*b^11*c^8*d^11*e^11*f^8 + 134134*a^8*b^11*c^9*d^10*e^10*f^9 + 134134*a^8*b^11*c^10*d^9*e^9*f^10 - 216216*a^8*b^11*c^11*d^8*e^8*f^11 + 66612*a^8*b^11*c^12*d^7*e^7*f^12 + 39858*a^8*b^11*c^13*d^6*e^6*f^13 - 26838*a^8*b^11*c^14*d^5*e^5*f^14 + 924*a^8*b^11*c^15*d^4*e^4*f^15 + 1560*a^8*b^11*c^16*d^3*e^3*f^16 - 27*a^8*b^11*c^17*d^2*e^2*f^17 - 371*a^9*b^10*c^2*d^17*e^16*f^3 - 3464*a^9*b^10*c^3*d^16*e^15*f^4 + 12550*a^9*b^10*c^4*d^15*e^14*f^5 + 18004*a^9*b^10*c^5*d^14*e^13*f^6 - 110474*a^9*b^10*c^6*d^13*e^12*f^7 + 99736*a^9*b^10*c^7*d^12*e^11*f^8 + 134134*a^9*b^10*c^8*d^11*e^10*f^9 - 300300*a^9*b^10*c^9*d^10*e^9*f^10 + 134134*a^9*b^10*c^10*d^9*e^8*f^11 + 99736*a^9*b^10*c^11*d^8*e^7*f^12 - 110474*a^9*b^10*c^12*d^7*e^6*f^13 + 18004*a^9*b^10*c^13*d^6*e^5*f^14 + 12550*a^9*b^10*c^14*d^5*e^4*f^15 - 3464*a^9*b^10*c^15*d^4*e^3*f^16 - 371*a^9*b^10*c^16*d^3*e^2*f^17 + 1560*a^10*b^9*c^2*d^17*e^15*f^4 + 924*a^10*b^9*c^3*d^16*e^14*f^5 - 26838*a^10*b^9*c^4*d^15*e^13*f^6 + 39858*a^10*b^9*c^5*d^14*e^12*f^7 + 66612*a^10*b^9*c^6*d^13*e^11*f^8 - 216216*a^10*b^9*c^7*d^12*e^10*f^9 + 134134*a^10*b^9*c^8*d^11*e^9*f^10 + 134134*a^10*b^9*c^9*d^10*e^8*f^11 - 216216*a^10*b^9*c^10*d^9*e^7*f^12 + 66612*a^10*b^9*c^11*d^8*e^6*f^13 + 39858*a^10*b^9*c^12*d^7*e^5*f^14 - 26838*a^10*b^9*c^13*d^6*e^4*f^15 + 924*a^10*b^9*c^14*d^5*e^3*f^16 + 1560*a^10*b^9*c^15*d^4*e^2*f^17 - 2484*a^11*b^8*c^2*d^17*e^14*f^5 + 7728*a^11*b^8*c^3*d^16*e^13*f^6 + 15288*a^11*b^8*c^4*d^15*e^12*f^7 - 78624*a^11*b^8*c^5*d^14*e^11*f^8 + 66612*a^11*b^8*c^6*d^13*e^10*f^9 + 99736*a^11*b^8*c^7*d^12*e^9*f^10 - 216216*a^11*b^8*c^8*d^11*e^8*f^11 + 99736*a^11*b^8*c^9*d^10*e^7*f^12 + 66612*a^11*b^8*c^10*d^9*e^6*f^13 - 78624*a^11*b^8*c^11*d^8*e^5*f^14 + 15288*a^11*b^8*c^12*d^7*e^4*f^15 + 7728*a^11*b^8*c^13*d^6*e^3*f^16 - 2484*a^11*b^8*c^14*d^5*e^2*f^17 + 1302*a^12*b^7*c^2*d^17*e^13*f^6 - 13104*a^12*b^7*c^3*d^16*e^12*f^7 + 15288*a^12*b^7*c^4*d^15*e^11*f^8 + 39858*a^12*b^7*c^5*d^14*e^10*f^9 - 110474*a^12*b^7*c^6*d^13*e^9*f^10 + 66612*a^12*b^7*c^7*d^12*e^8*f^11 + 66612*a^12*b^7*c^8*d^11*e^7*f^12 - 110474*a^12*b^7*c^9*d^10*e^6*f^13 + 39858*a^12*b^7*c^10*d^9*e^5*f^14 + 15288*a^12*b^7*c^11*d^8*e^4*f^15 - 13104*a^12*b^7*c^12*d^7*e^3*f^16 + 1302*a^12*b^7*c^13*d^6*e^2*f^17 + 1302*a^13*b^6*c^2*d^17*e^12*f^7 + 7728*a^13*b^6*c^3*d^16*e^11*f^8 - 26838*a^13*b^6*c^4*d^15*e^10*f^9 + 18004*a^13*b^6*c^5*d^14*e^9*f^10 + 39858*a^13*b^6*c^6*d^13*e^8*f^11 - 78624*a^13*b^6*c^7*d^12*e^7*f^12 + 39858*a^13*b^6*c^8*d^11*e^6*f^13 + 18004*a^13*b^6*c^9*d^10*e^5*f^14 - 26838*a^13*b^6*c^10*d^9*e^4*f^15 + 7728*a^13*b^6*c^11*d^8*e^3*f^16 + 1302*a^13*b^6*c^12*d^7*e^2*f^17 - 2484*a^14*b^5*c^2*d^17*e^11*f^8 + 924*a^14*b^5*c^3*d^16*e^10*f^9 + 12550*a^14*b^5*c^4*d^15*e^9*f^10 - 26838*a^14*b^5*c^5*d^14*e^8*f^11 + 15288*a^14*b^5*c^6*d^13*e^7*f^12 + 15288*a^14*b^5*c^7*d^12*e^6*f^13 - 26838*a^14*b^5*c^8*d^11*e^5*f^14 + 12550*a^14*b^5*c^9*d^10*e^4*f^15 + 924*a^14*b^5*c^10*d^9*e^3*f^16 - 2484*a^14*b^5*c^11*d^8*e^2*f^17 + 1560*a^15*b^4*c^2*d^17*e^10*f^9 - 3464*a^15*b^4*c^3*d^16*e^9*f^10 + 924*a^15*b^4*c^4*d^15*e^8*f^11 + 7728*a^15*b^4*c^5*d^14*e^7*f^12 - 13104*a^15*b^4*c^6*d^13*e^6*f^13 + 7728*a^15*b^4*c^7*d^12*e^5*f^14 + 924*a^15*b^4*c^8*d^11*e^4*f^15 - 3464*a^15*b^4*c^9*d^10*e^3*f^16 + 1560*a^15*b^4*c^10*d^9*e^2*f^17 - 371*a^16*b^3*c^2*d^17*e^9*f^10 + 1560*a^16*b^3*c^3*d^16*e^8*f^11 - 2484*a^16*b^3*c^4*d^15*e^7*f^12 + 1302*a^16*b^3*c^5*d^14*e^6*f^13 + 1302*a^16*b^3*c^6*d^13*e^5*f^14 - 2484*a^16*b^3*c^7*d^12*e^4*f^15 + 1560*a^16*b^3*c^8*d^11*e^3*f^16 - 371*a^16*b^3*c^9*d^10*e^2*f^17 - 27*a^17*b^2*c^2*d^17*e^8*f^11 - 168*a^17*b^2*c^3*d^16*e^7*f^12 + 546*a^17*b^2*c^4*d^15*e^6*f^13 - 756*a^17*b^2*c^5*d^14*e^5*f^14 + 546*a^17*b^2*c^6*d^13*e^4*f^15 - 168*a^17*b^2*c^7*d^12*e^3*f^16 - 27*a^17*b^2*c^8*d^11*e^2*f^17)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) - (x*(18*a^9*b^10*c^17*d^2*f^19 - 74*a^10*b^9*c^16*d^3*f^19 + 184*a^11*b^8*c^15*d^4*f^19 - 308*a^12*b^7*c^14*d^5*f^19 + 364*a^13*b^6*c^13*d^6*f^19 - 308*a^14*b^5*c^12*d^7*f^19 + 184*a^15*b^4*c^11*d^8*f^19 - 74*a^16*b^3*c^10*d^9*f^19 + 18*a^17*b^2*c^9*d^10*f^19 + 18*a^9*b^10*d^19*e^17*f^2 - 74*a^10*b^9*d^19*e^16*f^3 + 184*a^11*b^8*d^19*e^15*f^4 - 308*a^12*b^7*d^19*e^14*f^5 + 364*a^13*b^6*d^19*e^13*f^6 - 308*a^14*b^5*d^19*e^12*f^7 + 184*a^15*b^4*d^19*e^11*f^8 - 74*a^16*b^3*d^19*e^10*f^9 + 18*a^17*b^2*d^19*e^9*f^10 + 18*b^19*c^9*d^10*e^17*f^2 - 74*b^19*c^10*d^9*e^16*f^3 + 184*b^19*c^11*d^8*e^15*f^4 - 308*b^19*c^12*d^7*e^14*f^5 + 364*b^19*c^13*d^6*e^13*f^6 - 308*b^19*c^14*d^5*e^12*f^7 + 184*b^19*c^15*d^4*e^11*f^8 - 74*b^19*c^16*d^3*e^10*f^9 + 18*b^19*c^17*d^2*e^9*f^10 - 2*a^8*b^11*c^18*d*f^19 - 2*a^18*b*c^8*d^11*f^19 - 2*a^8*b^11*d^19*e^18*f - 2*a^18*b*d^19*e^8*f^11 - 2*b^19*c^8*d^11*e^18*f - 2*b^19*c^18*d*e^8*f^11 + 16*a*b^18*c^7*d^12*e^18*f + 16*a*b^18*c^18*d*e^7*f^12 + 16*a^7*b^12*c*d^18*e^18*f + 16*a^7*b^12*c^18*d*e*f^18 + 16*a^18*b*c*d^18*e^7*f^12 + 16*a^18*b*c^7*d^12*e*f^18 - 126*a*b^18*c^8*d^11*e^17*f^2 + 434*a*b^18*c^9*d^10*e^16*f^3 - 840*a*b^18*c^10*d^9*e^15*f^4 + 936*a*b^18*c^11*d^8*e^14*f^5 - 420*a*b^18*c^12*d^7*e^13*f^6 - 420*a*b^18*c^13*d^6*e^12*f^7 + 936*a*b^18*c^14*d^5*e^11*f^8 - 840*a*b^18*c^15*d^4*e^10*f^9 + 434*a*b^18*c^16*d^3*e^9*f^10 - 126*a*b^18*c^17*d^2*e^8*f^11 - 56*a^2*b^17*c^6*d^13*e^18*f - 56*a^2*b^17*c^18*d*e^6*f^13 + 112*a^3*b^16*c^5*d^14*e^18*f + 112*a^3*b^16*c^18*d*e^5*f^14 - 140*a^4*b^15*c^4*d^15*e^18*f - 140*a^4*b^15*c^18*d*e^4*f^15 + 112*a^5*b^14*c^3*d^16*e^18*f + 112*a^5*b^14*c^18*d*e^3*f^16 - 56*a^6*b^13*c^2*d^17*e^18*f - 56*a^6*b^13*c^18*d*e^2*f^17 - 126*a^8*b^11*c*d^18*e^17*f^2 - 126*a^8*b^11*c^17*d^2*e*f^18 + 434*a^9*b^10*c*d^18*e^16*f^3 + 434*a^9*b^10*c^16*d^3*e*f^18 - 840*a^10*b^9*c*d^18*e^15*f^4 - 840*a^10*b^9*c^15*d^4*e*f^18 + 936*a^11*b^8*c*d^18*e^14*f^5 + 936*a^11*b^8*c^14*d^5*e*f^18 - 420*a^12*b^7*c*d^18*e^13*f^6 - 420*a^12*b^7*c^13*d^6*e*f^18 - 420*a^13*b^6*c*d^18*e^12*f^7 - 420*a^13*b^6*c^12*d^7*e*f^18 + 936*a^14*b^5*c*d^18*e^11*f^8 + 936*a^14*b^5*c^11*d^8*e*f^18 - 840*a^15*b^4*c*d^18*e^10*f^9 - 840*a^15*b^4*c^10*d^9*e*f^18 + 434*a^16*b^3*c*d^18*e^9*f^10 + 434*a^16*b^3*c^9*d^10*e*f^18 - 126*a^17*b^2*c*d^18*e^8*f^11 - 126*a^17*b^2*c^8*d^11*e*f^18 - 56*a^18*b*c^2*d^17*e^6*f^13 + 112*a^18*b*c^3*d^16*e^5*f^14 - 140*a^18*b*c^4*d^15*e^4*f^15 + 112*a^18*b*c^5*d^14*e^3*f^16 - 56*a^18*b*c^6*d^13*e^2*f^17 + 360*a^2*b^17*c^7*d^12*e^17*f^2 - 882*a^2*b^17*c^8*d^11*e^16*f^3 + 728*a^2*b^17*c^9*d^10*e^15*f^4 + 1152*a^2*b^17*c^10*d^9*e^14*f^5 - 4032*a^2*b^17*c^11*d^8*e^13*f^6 + 5460*a^2*b^17*c^12*d^7*e^12*f^7 - 4032*a^2*b^17*c^13*d^6*e^11*f^8 + 1152*a^2*b^17*c^14*d^5*e^10*f^9 + 728*a^2*b^17*c^15*d^4*e^9*f^10 - 882*a^2*b^17*c^16*d^3*e^8*f^11 + 360*a^2*b^17*c^17*d^2*e^7*f^12 - 504*a^3*b^16*c^6*d^13*e^17*f^2 + 312*a^3*b^16*c^7*d^12*e^16*f^3 + 2520*a^3*b^16*c^8*d^11*e^15*f^4 - 7480*a^3*b^16*c^9*d^10*e^14*f^5 + 9408*a^3*b^16*c^10*d^9*e^13*f^6 - 4368*a^3*b^16*c^11*d^8*e^12*f^7 - 4368*a^3*b^16*c^12*d^7*e^11*f^8 + 9408*a^3*b^16*c^13*d^6*e^10*f^9 - 7480*a^3*b^16*c^14*d^5*e^9*f^10 + 2520*a^3*b^16*c^15*d^4*e^8*f^11 + 312*a^3*b^16*c^16*d^3*e^7*f^12 - 504*a^3*b^16*c^17*d^2*e^6*f^13 + 252*a^4*b^15*c^5*d^14*e^17*f^2 + 1596*a^4*b^15*c^6*d^13*e^16*f^3 - 6288*a^4*b^15*c^7*d^12*e^15*f^4 + 7380*a^4*b^15*c^8*d^11*e^14*f^5 + 2660*a^4*b^15*c^9*d^10*e^13*f^6 - 18564*a^4*b^15*c^10*d^9*e^12*f^7 + 26208*a^4*b^15*c^11*d^8*e^11*f^8 - 18564*a^4*b^15*c^12*d^7*e^10*f^9 + 2660*a^4*b^15*c^13*d^6*e^9*f^10 + 7380*a^4*b^15*c^14*d^5*e^8*f^11 - 6288*a^4*b^15*c^15*d^4*e^7*f^12 + 1596*a^4*b^15*c^16*d^3*e^6*f^13 + 252*a^4*b^15*c^17*d^2*e^5*f^14 + 252*a^5*b^14*c^4*d^15*e^17*f^2 - 2772*a^5*b^14*c^5*d^14*e^16*f^3 + 3696*a^5*b^14*c^6*d^13*e^15*f^4 + 7056*a^5*b^14*c^7*d^12*e^14*f^5 - 25452*a^5*b^14*c^8*d^11*e^13*f^6 + 30212*a^5*b^14*c^9*d^10*e^12*f^7 - 13104*a^5*b^14*c^10*d^9*e^11*f^8 - 13104*a^5*b^14*c^11*d^8*e^10*f^9 + 30212*a^5*b^14*c^12*d^7*e^9*f^10 - 25452*a^5*b^14*c^13*d^6*e^8*f^11 + 7056*a^5*b^14*c^14*d^5*e^7*f^12 + 3696*a^5*b^14*c^15*d^4*e^6*f^13 - 2772*a^5*b^14*c^16*d^3*e^5*f^14 + 252*a^5*b^14*c^17*d^2*e^4*f^15 - 504*a^6*b^13*c^3*d^16*e^17*f^2 + 1596*a^6*b^13*c^4*d^15*e^16*f^3 + 3696*a^6*b^13*c^5*d^14*e^15*f^4 - 17472*a^6*b^13*c^6*d^13*e^14*f^5 + 17472*a^6*b^13*c^7*d^12*e^13*f^6 + 9828*a^6*b^13*c^8*d^11*e^12*f^7 - 38584*a^6*b^13*c^9*d^10*e^11*f^8 + 48048*a^6*b^13*c^10*d^9*e^10*f^9 - 38584*a^6*b^13*c^11*d^8*e^9*f^10 + 9828*a^6*b^13*c^12*d^7*e^8*f^11 + 17472*a^6*b^13*c^13*d^6*e^7*f^12 - 17472*a^6*b^13*c^14*d^5*e^6*f^13 + 3696*a^6*b^13*c^15*d^4*e^5*f^14 + 1596*a^6*b^13*c^16*d^3*e^4*f^15 - 504*a^6*b^13*c^17*d^2*e^3*f^16 + 360*a^7*b^12*c^2*d^17*e^17*f^2 + 312*a^7*b^12*c^3*d^16*e^16*f^3 - 6288*a^7*b^12*c^4*d^15*e^15*f^4 + 7056*a^7*b^12*c^5*d^14*e^14*f^5 + 17472*a^7*b^12*c^6*d^13*e^13*f^6 - 43680*a^7*b^12*c^7*d^12*e^12*f^7 + 32760*a^7*b^12*c^8*d^11*e^11*f^8 - 8008*a^7*b^12*c^9*d^10*e^10*f^9 - 8008*a^7*b^12*c^10*d^9*e^9*f^10 + 32760*a^7*b^12*c^11*d^8*e^8*f^11 - 43680*a^7*b^12*c^12*d^7*e^7*f^12 + 17472*a^7*b^12*c^13*d^6*e^6*f^13 + 7056*a^7*b^12*c^14*d^5*e^5*f^14 - 6288*a^7*b^12*c^15*d^4*e^4*f^15 + 312*a^7*b^12*c^16*d^3*e^3*f^16 + 360*a^7*b^12*c^17*d^2*e^2*f^17 - 882*a^8*b^11*c^2*d^17*e^16*f^3 + 2520*a^8*b^11*c^3*d^16*e^15*f^4 + 7380*a^8*b^11*c^4*d^15*e^14*f^5 - 25452*a^8*b^11*c^5*d^14*e^13*f^6 + 9828*a^8*b^11*c^6*d^13*e^12*f^7 + 32760*a^8*b^11*c^7*d^12*e^11*f^8 - 36036*a^8*b^11*c^8*d^11*e^10*f^9 + 20020*a^8*b^11*c^9*d^10*e^9*f^10 - 36036*a^8*b^11*c^10*d^9*e^8*f^11 + 32760*a^8*b^11*c^11*d^8*e^7*f^12 + 9828*a^8*b^11*c^12*d^7*e^6*f^13 - 25452*a^8*b^11*c^13*d^6*e^5*f^14 + 7380*a^8*b^11*c^14*d^5*e^4*f^15 + 2520*a^8*b^11*c^15*d^4*e^3*f^16 - 882*a^8*b^11*c^16*d^3*e^2*f^17 + 728*a^9*b^10*c^2*d^17*e^15*f^4 - 7480*a^9*b^10*c^3*d^16*e^14*f^5 + 2660*a^9*b^10*c^4*d^15*e^13*f^6 + 30212*a^9*b^10*c^5*d^14*e^12*f^7 - 38584*a^9*b^10*c^6*d^13*e^11*f^8 - 8008*a^9*b^10*c^7*d^12*e^10*f^9 + 20020*a^9*b^10*c^8*d^11*e^9*f^10 + 20020*a^9*b^10*c^9*d^10*e^8*f^11 - 8008*a^9*b^10*c^10*d^9*e^7*f^12 - 38584*a^9*b^10*c^11*d^8*e^6*f^13 + 30212*a^9*b^10*c^12*d^7*e^5*f^14 + 2660*a^9*b^10*c^13*d^6*e^4*f^15 - 7480*a^9*b^10*c^14*d^5*e^3*f^16 + 728*a^9*b^10*c^15*d^4*e^2*f^17 + 1152*a^10*b^9*c^2*d^17*e^14*f^5 + 9408*a^10*b^9*c^3*d^16*e^13*f^6 - 18564*a^10*b^9*c^4*d^15*e^12*f^7 - 13104*a^10*b^9*c^5*d^14*e^11*f^8 + 48048*a^10*b^9*c^6*d^13*e^10*f^9 - 8008*a^10*b^9*c^7*d^12*e^9*f^10 - 36036*a^10*b^9*c^8*d^11*e^8*f^11 - 8008*a^10*b^9*c^9*d^10*e^7*f^12 + 48048*a^10*b^9*c^10*d^9*e^6*f^13 - 13104*a^10*b^9*c^11*d^8*e^5*f^14 - 18564*a^10*b^9*c^12*d^7*e^4*f^15 + 9408*a^10*b^9*c^13*d^6*e^3*f^16 + 1152*a^10*b^9*c^14*d^5*e^2*f^17 - 4032*a^11*b^8*c^2*d^17*e^13*f^6 - 4368*a^11*b^8*c^3*d^16*e^12*f^7 + 26208*a^11*b^8*c^4*d^15*e^11*f^8 - 13104*a^11*b^8*c^5*d^14*e^10*f^9 - 38584*a^11*b^8*c^6*d^13*e^9*f^10 + 32760*a^11*b^8*c^7*d^12*e^8*f^11 + 32760*a^11*b^8*c^8*d^11*e^7*f^12 - 38584*a^11*b^8*c^9*d^10*e^6*f^13 - 13104*a^11*b^8*c^10*d^9*e^5*f^14 + 26208*a^11*b^8*c^11*d^8*e^4*f^15 - 4368*a^11*b^8*c^12*d^7*e^3*f^16 - 4032*a^11*b^8*c^13*d^6*e^2*f^17 + 5460*a^12*b^7*c^2*d^17*e^12*f^7 - 4368*a^12*b^7*c^3*d^16*e^11*f^8 - 18564*a^12*b^7*c^4*d^15*e^10*f^9 + 30212*a^12*b^7*c^5*d^14*e^9*f^10 + 9828*a^12*b^7*c^6*d^13*e^8*f^11 - 43680*a^12*b^7*c^7*d^12*e^7*f^12 + 9828*a^12*b^7*c^8*d^11*e^6*f^13 + 30212*a^12*b^7*c^9*d^10*e^5*f^14 - 18564*a^12*b^7*c^10*d^9*e^4*f^15 - 4368*a^12*b^7*c^11*d^8*e^3*f^16 + 5460*a^12*b^7*c^12*d^7*e^2*f^17 - 4032*a^13*b^6*c^2*d^17*e^11*f^8 + 9408*a^13*b^6*c^3*d^16*e^10*f^9 + 2660*a^13*b^6*c^4*d^15*e^9*f^10 - 25452*a^13*b^6*c^5*d^14*e^8*f^11 + 17472*a^13*b^6*c^6*d^13*e^7*f^12 + 17472*a^13*b^6*c^7*d^12*e^6*f^13 - 25452*a^13*b^6*c^8*d^11*e^5*f^14 + 2660*a^13*b^6*c^9*d^10*e^4*f^15 + 9408*a^13*b^6*c^10*d^9*e^3*f^16 - 4032*a^13*b^6*c^11*d^8*e^2*f^17 + 1152*a^14*b^5*c^2*d^17*e^10*f^9 - 7480*a^14*b^5*c^3*d^16*e^9*f^10 + 7380*a^14*b^5*c^4*d^15*e^8*f^11 + 7056*a^14*b^5*c^5*d^14*e^7*f^12 - 17472*a^14*b^5*c^6*d^13*e^6*f^13 + 7056*a^14*b^5*c^7*d^12*e^5*f^14 + 7380*a^14*b^5*c^8*d^11*e^4*f^15 - 7480*a^14*b^5*c^9*d^10*e^3*f^16 + 1152*a^14*b^5*c^10*d^9*e^2*f^17 + 728*a^15*b^4*c^2*d^17*e^9*f^10 + 2520*a^15*b^4*c^3*d^16*e^8*f^11 - 6288*a^15*b^4*c^4*d^15*e^7*f^12 + 3696*a^15*b^4*c^5*d^14*e^6*f^13 + 3696*a^15*b^4*c^6*d^13*e^5*f^14 - 6288*a^15*b^4*c^7*d^12*e^4*f^15 + 2520*a^15*b^4*c^8*d^11*e^3*f^16 + 728*a^15*b^4*c^9*d^10*e^2*f^17 - 882*a^16*b^3*c^2*d^17*e^8*f^11 + 312*a^16*b^3*c^3*d^16*e^7*f^12 + 1596*a^16*b^3*c^4*d^15*e^6*f^13 - 2772*a^16*b^3*c^5*d^14*e^5*f^14 + 1596*a^16*b^3*c^6*d^13*e^4*f^15 + 312*a^16*b^3*c^7*d^12*e^3*f^16 - 882*a^16*b^3*c^8*d^11*e^2*f^17 + 360*a^17*b^2*c^2*d^17*e^7*f^12 - 504*a^17*b^2*c^3*d^16*e^6*f^13 + 252*a^17*b^2*c^4*d^15*e^5*f^14 + 252*a^17*b^2*c^5*d^14*e^4*f^15 - 504*a^17*b^2*c^6*d^13*e^3*f^16 + 360*a^17*b^2*c^7*d^12*e^2*f^17))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14)) + (x*(84*a^5*b^11*c^13*d^3*f^16 - 12*a^4*b^12*c^14*d^2*f^16 - 243*a^6*b^10*c^12*d^4*f^16 + 366*a^7*b^9*c^11*d^5*f^16 - 321*a^8*b^8*c^10*d^6*f^16 + 252*a^9*b^7*c^9*d^7*f^16 - 321*a^10*b^6*c^8*d^8*f^16 + 366*a^11*b^5*c^7*d^9*f^16 - 243*a^12*b^4*c^6*d^10*f^16 + 84*a^13*b^3*c^5*d^11*f^16 - 12*a^14*b^2*c^4*d^12*f^16 - 12*a^4*b^12*d^16*e^14*f^2 + 84*a^5*b^11*d^16*e^13*f^3 - 243*a^6*b^10*d^16*e^12*f^4 + 366*a^7*b^9*d^16*e^11*f^5 - 321*a^8*b^8*d^16*e^10*f^6 + 252*a^9*b^7*d^16*e^9*f^7 - 321*a^10*b^6*d^16*e^8*f^8 + 366*a^11*b^5*d^16*e^7*f^9 - 243*a^12*b^4*d^16*e^6*f^10 + 84*a^13*b^3*d^16*e^5*f^11 - 12*a^14*b^2*d^16*e^4*f^12 - 12*b^16*c^4*d^12*e^14*f^2 + 84*b^16*c^5*d^11*e^13*f^3 - 243*b^16*c^6*d^10*e^12*f^4 + 366*b^16*c^7*d^9*e^11*f^5 - 321*b^16*c^8*d^8*e^10*f^6 + 252*b^16*c^9*d^7*e^9*f^7 - 321*b^16*c^10*d^6*e^8*f^8 + 366*b^16*c^11*d^5*e^7*f^9 - 243*b^16*c^12*d^4*e^6*f^10 + 84*b^16*c^13*d^3*e^5*f^11 - 12*b^16*c^14*d^2*e^4*f^12 + 48*a*b^15*c^3*d^13*e^14*f^2 - 252*a*b^15*c^4*d^12*e^13*f^3 + 366*a*b^15*c^5*d^11*e^12*f^4 + 354*a*b^15*c^6*d^10*e^11*f^5 - 1458*a*b^15*c^7*d^9*e^10*f^6 + 942*a*b^15*c^8*d^8*e^9*f^7 + 942*a*b^15*c^9*d^7*e^8*f^8 - 1458*a*b^15*c^10*d^6*e^7*f^9 + 354*a*b^15*c^11*d^5*e^6*f^10 + 366*a*b^15*c^12*d^4*e^5*f^11 - 252*a*b^15*c^13*d^3*e^4*f^12 + 48*a*b^15*c^14*d^2*e^3*f^13 + 48*a^3*b^13*c*d^15*e^14*f^2 + 48*a^3*b^13*c^14*d^2*e*f^15 - 252*a^4*b^12*c*d^15*e^13*f^3 - 252*a^4*b^12*c^13*d^3*e*f^15 + 366*a^5*b^11*c*d^15*e^12*f^4 + 366*a^5*b^11*c^12*d^4*e*f^15 + 354*a^6*b^10*c*d^15*e^11*f^5 + 354*a^6*b^10*c^11*d^5*e*f^15 - 1458*a^7*b^9*c*d^15*e^10*f^6 - 1458*a^7*b^9*c^10*d^6*e*f^15 + 942*a^8*b^8*c*d^15*e^9*f^7 + 942*a^8*b^8*c^9*d^7*e*f^15 + 942*a^9*b^7*c*d^15*e^8*f^8 + 942*a^9*b^7*c^8*d^8*e*f^15 - 1458*a^10*b^6*c*d^15*e^7*f^9 - 1458*a^10*b^6*c^7*d^9*e*f^15 + 354*a^11*b^5*c*d^15*e^6*f^10 + 354*a^11*b^5*c^6*d^10*e*f^15 + 366*a^12*b^4*c*d^15*e^5*f^11 + 366*a^12*b^4*c^5*d^11*e*f^15 - 252*a^13*b^3*c*d^15*e^4*f^12 - 252*a^13*b^3*c^4*d^12*e*f^15 + 48*a^14*b^2*c*d^15*e^3*f^13 + 48*a^14*b^2*c^3*d^13*e*f^15 - 72*a^2*b^14*c^2*d^14*e^14*f^2 + 168*a^2*b^14*c^3*d^13*e^13*f^3 + 723*a^2*b^14*c^4*d^12*e^12*f^4 - 3258*a^2*b^14*c^5*d^11*e^11*f^5 + 3156*a^2*b^14*c^6*d^10*e^10*f^6 + 3522*a^2*b^14*c^7*d^9*e^9*f^7 - 8478*a^2*b^14*c^8*d^8*e^8*f^8 + 3522*a^2*b^14*c^9*d^7*e^7*f^9 + 3156*a^2*b^14*c^10*d^6*e^6*f^10 - 3258*a^2*b^14*c^11*d^5*e^5*f^11 + 723*a^2*b^14*c^12*d^4*e^4*f^12 + 168*a^2*b^14*c^13*d^3*e^3*f^13 - 72*a^2*b^14*c^14*d^2*e^2*f^14 + 168*a^3*b^13*c^2*d^14*e^13*f^3 - 1692*a^3*b^13*c^3*d^13*e^12*f^4 + 2538*a^3*b^13*c^4*d^12*e^11*f^5 + 5634*a^3*b^13*c^5*d^11*e^10*f^6 - 18738*a^3*b^13*c^6*d^10*e^9*f^7 + 12042*a^3*b^13*c^7*d^9*e^8*f^8 + 12042*a^3*b^13*c^8*d^8*e^7*f^9 - 18738*a^3*b^13*c^9*d^7*e^6*f^10 + 5634*a^3*b^13*c^10*d^6*e^5*f^11 + 2538*a^3*b^13*c^11*d^5*e^4*f^12 - 1692*a^3*b^13*c^12*d^4*e^3*f^13 + 168*a^3*b^13*c^13*d^3*e^2*f^14 + 723*a^4*b^12*c^2*d^14*e^12*f^4 + 2538*a^4*b^12*c^3*d^13*e^11*f^5 - 14022*a^4*b^12*c^4*d^12*e^10*f^6 + 14022*a^4*b^12*c^5*d^11*e^9*f^7 + 21087*a^4*b^12*c^6*d^10*e^8*f^8 - 48168*a^4*b^12*c^7*d^9*e^7*f^9 + 21087*a^4*b^12*c^8*d^8*e^6*f^10 + 14022*a^4*b^12*c^9*d^7*e^5*f^11 - 14022*a^4*b^12*c^10*d^6*e^4*f^12 + 2538*a^4*b^12*c^11*d^5*e^3*f^13 + 723*a^4*b^12*c^12*d^4*e^2*f^14 - 3258*a^5*b^11*c^2*d^14*e^11*f^5 + 5634*a^5*b^11*c^3*d^13*e^10*f^6 + 14022*a^5*b^11*c^4*d^12*e^9*f^7 - 50544*a^5*b^11*c^5*d^11*e^8*f^8 + 33696*a^5*b^11*c^6*d^10*e^7*f^9 + 33696*a^5*b^11*c^7*d^9*e^6*f^10 - 50544*a^5*b^11*c^8*d^8*e^5*f^11 + 14022*a^5*b^11*c^9*d^7*e^4*f^12 + 5634*a^5*b^11*c^10*d^6*e^3*f^13 - 3258*a^5*b^11*c^11*d^5*e^2*f^14 + 3156*a^6*b^10*c^2*d^14*e^10*f^6 - 18738*a^6*b^10*c^3*d^13*e^9*f^7 + 21087*a^6*b^10*c^4*d^12*e^8*f^8 + 33696*a^6*b^10*c^5*d^11*e^7*f^9 - 78624*a^6*b^10*c^6*d^10*e^6*f^10 + 33696*a^6*b^10*c^7*d^9*e^5*f^11 + 21087*a^6*b^10*c^8*d^8*e^4*f^12 - 18738*a^6*b^10*c^9*d^7*e^3*f^13 + 3156*a^6*b^10*c^10*d^6*e^2*f^14 + 3522*a^7*b^9*c^2*d^14*e^9*f^7 + 12042*a^7*b^9*c^3*d^13*e^8*f^8 - 48168*a^7*b^9*c^4*d^12*e^7*f^9 + 33696*a^7*b^9*c^5*d^11*e^6*f^10 + 33696*a^7*b^9*c^6*d^10*e^5*f^11 - 48168*a^7*b^9*c^7*d^9*e^4*f^12 + 12042*a^7*b^9*c^8*d^8*e^3*f^13 + 3522*a^7*b^9*c^9*d^7*e^2*f^14 - 8478*a^8*b^8*c^2*d^14*e^8*f^8 + 12042*a^8*b^8*c^3*d^13*e^7*f^9 + 21087*a^8*b^8*c^4*d^12*e^6*f^10 - 50544*a^8*b^8*c^5*d^11*e^5*f^11 + 21087*a^8*b^8*c^6*d^10*e^4*f^12 + 12042*a^8*b^8*c^7*d^9*e^3*f^13 - 8478*a^8*b^8*c^8*d^8*e^2*f^14 + 3522*a^9*b^7*c^2*d^14*e^7*f^9 - 18738*a^9*b^7*c^3*d^13*e^6*f^10 + 14022*a^9*b^7*c^4*d^12*e^5*f^11 + 14022*a^9*b^7*c^5*d^11*e^4*f^12 - 18738*a^9*b^7*c^6*d^10*e^3*f^13 + 3522*a^9*b^7*c^7*d^9*e^2*f^14 + 3156*a^10*b^6*c^2*d^14*e^6*f^10 + 5634*a^10*b^6*c^3*d^13*e^5*f^11 - 14022*a^10*b^6*c^4*d^12*e^4*f^12 + 5634*a^10*b^6*c^5*d^11*e^3*f^13 + 3156*a^10*b^6*c^6*d^10*e^2*f^14 - 3258*a^11*b^5*c^2*d^14*e^5*f^11 + 2538*a^11*b^5*c^3*d^13*e^4*f^12 + 2538*a^11*b^5*c^4*d^12*e^3*f^13 - 3258*a^11*b^5*c^5*d^11*e^2*f^14 + 723*a^12*b^4*c^2*d^14*e^4*f^12 - 1692*a^12*b^4*c^3*d^13*e^3*f^13 + 723*a^12*b^4*c^4*d^12*e^2*f^14 + 168*a^13*b^3*c^2*d^14*e^3*f^13 + 168*a^13*b^3*c^3*d^13*e^2*f^14 - 72*a^14*b^2*c^2*d^14*e^2*f^14))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14)) - (36*a^11*b^2*d^13*f^13 + 36*b^13*c^11*d^2*f^13 + 36*b^13*d^13*e^11*f^2 + 297*a^2*b^11*c^9*d^4*f^13 - 108*a^3*b^10*c^8*d^5*f^13 - 198*a^4*b^9*c^7*d^6*f^13 + 153*a^5*b^8*c^6*d^7*f^13 + 153*a^6*b^7*c^5*d^8*f^13 - 198*a^7*b^6*c^4*d^9*f^13 - 108*a^8*b^5*c^3*d^10*f^13 + 297*a^9*b^4*c^2*d^11*f^13 + 297*a^2*b^11*d^13*e^9*f^4 - 108*a^3*b^10*d^13*e^8*f^5 - 198*a^4*b^9*d^13*e^7*f^6 + 153*a^5*b^8*d^13*e^6*f^7 + 153*a^6*b^7*d^13*e^5*f^8 - 198*a^7*b^6*d^13*e^4*f^9 - 108*a^8*b^5*d^13*e^3*f^10 + 297*a^9*b^4*d^13*e^2*f^11 + 297*b^13*c^2*d^11*e^9*f^4 - 108*b^13*c^3*d^10*e^8*f^5 - 198*b^13*c^4*d^9*e^7*f^6 + 153*b^13*c^5*d^8*e^6*f^7 + 153*b^13*c^6*d^7*e^5*f^8 - 198*b^13*c^7*d^6*e^4*f^9 - 108*b^13*c^8*d^5*e^3*f^10 + 297*b^13*c^9*d^4*e^2*f^11 - 180*a*b^12*c^10*d^3*f^13 - 180*a^10*b^3*c*d^12*f^13 - 180*a*b^12*d^13*e^10*f^3 - 180*a^10*b^3*d^13*e*f^12 - 180*b^13*c*d^12*e^10*f^3 - 180*b^13*c^10*d^3*e*f^12 + 1026*a*b^12*c*d^12*e^9*f^4 + 1026*a*b^12*c^9*d^4*e*f^12 + 1026*a^9*b^4*c*d^12*e*f^12 - 2052*a*b^12*c^2*d^11*e^8*f^5 + 1548*a*b^12*c^3*d^10*e^7*f^6 + 297*a*b^12*c^4*d^9*e^6*f^7 - 1242*a*b^12*c^5*d^8*e^5*f^8 + 297*a*b^12*c^6*d^7*e^4*f^9 + 1548*a*b^12*c^7*d^6*e^3*f^10 - 2052*a*b^12*c^8*d^5*e^2*f^11 - 2052*a^2*b^11*c*d^12*e^8*f^5 - 2052*a^2*b^11*c^8*d^5*e*f^12 + 1548*a^3*b^10*c*d^12*e^7*f^6 + 1548*a^3*b^10*c^7*d^6*e*f^12 + 297*a^4*b^9*c*d^12*e^6*f^7 + 297*a^4*b^9*c^6*d^7*e*f^12 - 1242*a^5*b^8*c*d^12*e^5*f^8 - 1242*a^5*b^8*c^5*d^8*e*f^12 + 297*a^6*b^7*c*d^12*e^4*f^9 + 297*a^6*b^7*c^4*d^9*e*f^12 + 1548*a^7*b^6*c*d^12*e^3*f^10 + 1548*a^7*b^6*c^3*d^10*e*f^12 - 2052*a^8*b^5*c*d^12*e^2*f^11 - 2052*a^8*b^5*c^2*d^11*e*f^12 + 4860*a^2*b^11*c^2*d^11*e^7*f^6 - 4986*a^2*b^11*c^3*d^10*e^6*f^7 + 1701*a^2*b^11*c^4*d^9*e^5*f^8 + 1701*a^2*b^11*c^5*d^8*e^4*f^9 - 4986*a^2*b^11*c^6*d^7*e^3*f^10 + 4860*a^2*b^11*c^7*d^6*e^2*f^11 - 4986*a^3*b^10*c^2*d^11*e^6*f^7 + 6336*a^3*b^10*c^3*d^10*e^5*f^8 - 3960*a^3*b^10*c^4*d^9*e^4*f^9 + 6336*a^3*b^10*c^5*d^8*e^3*f^10 - 4986*a^3*b^10*c^6*d^7*e^2*f^11 + 1701*a^4*b^9*c^2*d^11*e^5*f^8 - 3960*a^4*b^9*c^3*d^10*e^4*f^9 - 3960*a^4*b^9*c^4*d^9*e^3*f^10 + 1701*a^4*b^9*c^5*d^8*e^2*f^11 + 1701*a^5*b^8*c^2*d^11*e^4*f^9 + 6336*a^5*b^8*c^3*d^10*e^3*f^10 + 1701*a^5*b^8*c^4*d^9*e^2*f^11 - 4986*a^6*b^7*c^2*d^11*e^3*f^10 - 4986*a^6*b^7*c^3*d^10*e^2*f^11 + 4860*a^7*b^6*c^2*d^11*e^2*f^11)/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14) + (x*(108*a^3*b^10*c^7*d^6*f^13 - 36*b^13*c^10*d^3*f^13 - 36*b^13*d^13*e^10*f^3 - 297*a^2*b^11*c^8*d^5*f^13 - 36*a^10*b^3*d^13*f^13 + 324*a^4*b^9*c^6*d^7*f^13 - 594*a^5*b^8*c^5*d^8*f^13 + 324*a^6*b^7*c^4*d^9*f^13 + 108*a^7*b^6*c^3*d^10*f^13 - 297*a^8*b^5*c^2*d^11*f^13 - 297*a^2*b^11*d^13*e^8*f^5 + 108*a^3*b^10*d^13*e^7*f^6 + 324*a^4*b^9*d^13*e^6*f^7 - 594*a^5*b^8*d^13*e^5*f^8 + 324*a^6*b^7*d^13*e^4*f^9 + 108*a^7*b^6*d^13*e^3*f^10 - 297*a^8*b^5*d^13*e^2*f^11 - 297*b^13*c^2*d^11*e^8*f^5 + 108*b^13*c^3*d^10*e^7*f^6 + 324*b^13*c^4*d^9*e^6*f^7 - 594*b^13*c^5*d^8*e^5*f^8 + 324*b^13*c^6*d^7*e^4*f^9 + 108*b^13*c^7*d^6*e^3*f^10 - 297*b^13*c^8*d^5*e^2*f^11 + 180*a*b^12*c^9*d^4*f^13 + 180*a^9*b^4*c*d^12*f^13 + 180*a*b^12*d^13*e^9*f^4 + 180*a^9*b^4*d^13*e*f^12 + 180*b^13*c*d^12*e^9*f^4 + 180*b^13*c^9*d^4*e*f^12 - 1026*a*b^12*c*d^12*e^8*f^5 - 1026*a*b^12*c^8*d^5*e*f^12 - 1026*a^8*b^5*c*d^12*e*f^12 + 2052*a*b^12*c^2*d^11*e^7*f^6 - 2052*a*b^12*c^3*d^10*e^6*f^7 + 1026*a*b^12*c^4*d^9*e^5*f^8 + 1026*a*b^12*c^5*d^8*e^4*f^9 - 2052*a*b^12*c^6*d^7*e^3*f^10 + 2052*a*b^12*c^7*d^6*e^2*f^11 + 2052*a^2*b^11*c*d^12*e^7*f^6 + 2052*a^2*b^11*c^7*d^6*e*f^12 - 2052*a^3*b^10*c*d^12*e^6*f^7 - 2052*a^3*b^10*c^6*d^7*e*f^12 + 1026*a^4*b^9*c*d^12*e^5*f^8 + 1026*a^4*b^9*c^5*d^8*e*f^12 + 1026*a^5*b^8*c*d^12*e^4*f^9 + 1026*a^5*b^8*c^4*d^9*e*f^12 - 2052*a^6*b^7*c*d^12*e^3*f^10 - 2052*a^6*b^7*c^3*d^10*e*f^12 + 2052*a^7*b^6*c*d^12*e^2*f^11 + 2052*a^7*b^6*c^2*d^11*e*f^12 - 4104*a^2*b^11*c^2*d^11*e^6*f^7 + 4104*a^2*b^11*c^3*d^10*e^5*f^8 - 5130*a^2*b^11*c^4*d^9*e^4*f^9 + 4104*a^2*b^11*c^5*d^8*e^3*f^10 - 4104*a^2*b^11*c^6*d^7*e^2*f^11 + 4104*a^3*b^10*c^2*d^11*e^5*f^8 + 4104*a^3*b^10*c^5*d^8*e^2*f^11 - 5130*a^4*b^9*c^2*d^11*e^4*f^9 - 5130*a^4*b^9*c^4*d^9*e^2*f^11 + 4104*a^5*b^8*c^2*d^11*e^3*f^10 + 4104*a^5*b^8*c^3*d^10*e^2*f^11 - 4104*a^6*b^7*c^2*d^11*e^2*f^11))/(56*a^3*b^13*c^5*d^11*e^16 - a^8*b^8*d^16*e^16 - a^16*c^8*d^8*f^16 - b^16*c^8*d^8*e^16 - a^16*d^16*e^8*f^8 - b^16*c^16*e^8*f^8 - 28*a^2*b^14*c^6*d^10*e^16 - a^8*b^8*c^16*f^16 - 70*a^4*b^12*c^4*d^12*e^16 + 56*a^5*b^11*c^3*d^13*e^16 - 28*a^6*b^10*c^2*d^14*e^16 - 28*a^10*b^6*c^14*d^2*f^16 + 56*a^11*b^5*c^13*d^3*f^16 - 70*a^12*b^4*c^12*d^4*f^16 + 56*a^13*b^3*c^11*d^5*f^16 - 28*a^14*b^2*c^10*d^6*f^16 - 28*a^2*b^14*c^16*e^6*f^10 + 56*a^3*b^13*c^16*e^5*f^11 - 70*a^4*b^12*c^16*e^4*f^12 + 56*a^5*b^11*c^16*e^3*f^13 - 28*a^6*b^10*c^16*e^2*f^14 - 28*a^10*b^6*d^16*e^14*f^2 + 56*a^11*b^5*d^16*e^13*f^3 - 70*a^12*b^4*d^16*e^12*f^4 + 56*a^13*b^3*d^16*e^11*f^5 - 28*a^14*b^2*d^16*e^10*f^6 - 28*a^16*c^2*d^14*e^6*f^10 + 56*a^16*c^3*d^13*e^5*f^11 - 70*a^16*c^4*d^12*e^4*f^12 + 56*a^16*c^5*d^11*e^3*f^13 - 28*a^16*c^6*d^10*e^2*f^14 - 28*b^16*c^10*d^6*e^14*f^2 + 56*b^16*c^11*d^5*e^13*f^3 - 70*b^16*c^12*d^4*e^12*f^4 + 56*b^16*c^13*d^3*e^11*f^5 - 28*b^16*c^14*d^2*e^10*f^6 + 8*a*b^15*c^7*d^9*e^16 + 8*a^7*b^9*c*d^15*e^16 + 8*a^9*b^7*c^15*d*f^16 + 8*a^15*b*c^9*d^7*f^16 + 8*a*b^15*c^16*e^7*f^9 + 8*a^7*b^9*c^16*e*f^15 + 8*a^9*b^7*d^16*e^15*f + 8*a^15*b*d^16*e^9*f^7 + 8*a^16*c*d^15*e^7*f^9 + 8*a^16*c^7*d^9*e*f^15 + 8*b^16*c^9*d^7*e^15*f + 8*b^16*c^15*d*e^9*f^7 - 56*a*b^15*c^8*d^8*e^15*f - 56*a*b^15*c^15*d*e^8*f^8 - 56*a^8*b^8*c*d^15*e^15*f - 56*a^8*b^8*c^15*d*e*f^15 - 56*a^15*b*c*d^15*e^8*f^8 - 56*a^15*b*c^8*d^8*e*f^15 + 160*a*b^15*c^9*d^7*e^14*f^2 - 224*a*b^15*c^10*d^6*e^13*f^3 + 112*a*b^15*c^11*d^5*e^12*f^4 + 112*a*b^15*c^12*d^4*e^11*f^5 - 224*a*b^15*c^13*d^3*e^10*f^6 + 160*a*b^15*c^14*d^2*e^9*f^7 + 160*a^2*b^14*c^7*d^9*e^15*f + 160*a^2*b^14*c^15*d*e^7*f^9 - 224*a^3*b^13*c^6*d^10*e^15*f - 224*a^3*b^13*c^15*d*e^6*f^10 + 112*a^4*b^12*c^5*d^11*e^15*f + 112*a^4*b^12*c^15*d*e^5*f^11 + 112*a^5*b^11*c^4*d^12*e^15*f + 112*a^5*b^11*c^15*d*e^4*f^12 - 224*a^6*b^10*c^3*d^13*e^15*f - 224*a^6*b^10*c^15*d*e^3*f^13 + 160*a^7*b^9*c^2*d^14*e^15*f + 160*a^7*b^9*c^15*d*e^2*f^14 + 160*a^9*b^7*c*d^15*e^14*f^2 + 160*a^9*b^7*c^14*d^2*e*f^15 - 224*a^10*b^6*c*d^15*e^13*f^3 - 224*a^10*b^6*c^13*d^3*e*f^15 + 112*a^11*b^5*c*d^15*e^12*f^4 + 112*a^11*b^5*c^12*d^4*e*f^15 + 112*a^12*b^4*c*d^15*e^11*f^5 + 112*a^12*b^4*c^11*d^5*e*f^15 - 224*a^13*b^3*c*d^15*e^10*f^6 - 224*a^13*b^3*c^10*d^6*e*f^15 + 160*a^14*b^2*c*d^15*e^9*f^7 + 160*a^14*b^2*c^9*d^7*e*f^15 + 160*a^15*b*c^2*d^14*e^7*f^9 - 224*a^15*b*c^3*d^13*e^6*f^10 + 112*a^15*b*c^4*d^12*e^5*f^11 + 112*a^15*b*c^5*d^11*e^4*f^12 - 224*a^15*b*c^6*d^10*e^3*f^13 + 160*a^15*b*c^7*d^9*e^2*f^14 - 300*a^2*b^14*c^8*d^8*e^14*f^2 + 840*a^2*b^14*c^10*d^6*e^12*f^4 - 1344*a^2*b^14*c^11*d^5*e^11*f^5 + 840*a^2*b^14*c^12*d^4*e^10*f^6 - 300*a^2*b^14*c^14*d^2*e^8*f^8 + 1400*a^3*b^13*c^8*d^8*e^13*f^3 - 2800*a^3*b^13*c^9*d^7*e^12*f^4 + 1568*a^3*b^13*c^10*d^6*e^11*f^5 + 1568*a^3*b^13*c^11*d^5*e^10*f^6 - 2800*a^3*b^13*c^12*d^4*e^9*f^7 + 1400*a^3*b^13*c^13*d^3*e^8*f^8 + 840*a^4*b^12*c^6*d^10*e^14*f^2 - 2800*a^4*b^12*c^7*d^9*e^13*f^3 + 1750*a^4*b^12*c^8*d^8*e^12*f^4 + 4480*a^4*b^12*c^9*d^7*e^11*f^5 - 8624*a^4*b^12*c^10*d^6*e^10*f^6 + 4480*a^4*b^12*c^11*d^5*e^9*f^7 + 1750*a^4*b^12*c^12*d^4*e^8*f^8 - 2800*a^4*b^12*c^13*d^3*e^7*f^9 + 840*a^4*b^12*c^14*d^2*e^6*f^10 - 1344*a^5*b^11*c^5*d^11*e^14*f^2 + 1568*a^5*b^11*c^6*d^10*e^13*f^3 + 4480*a^5*b^11*c^7*d^9*e^12*f^4 - 12264*a^5*b^11*c^8*d^8*e^11*f^5 + 7392*a^5*b^11*c^9*d^7*e^10*f^6 + 7392*a^5*b^11*c^10*d^6*e^9*f^7 - 12264*a^5*b^11*c^11*d^5*e^8*f^8 + 4480*a^5*b^11*c^12*d^4*e^7*f^9 + 1568*a^5*b^11*c^13*d^3*e^6*f^10 - 1344*a^5*b^11*c^14*d^2*e^5*f^11 + 840*a^6*b^10*c^4*d^12*e^14*f^2 + 1568*a^6*b^10*c^5*d^11*e^13*f^3 - 8624*a^6*b^10*c^6*d^10*e^12*f^4 + 7392*a^6*b^10*c^7*d^9*e^11*f^5 + 11396*a^6*b^10*c^8*d^8*e^10*f^6 - 24640*a^6*b^10*c^9*d^7*e^9*f^7 + 11396*a^6*b^10*c^10*d^6*e^8*f^8 + 7392*a^6*b^10*c^11*d^5*e^7*f^9 - 8624*a^6*b^10*c^12*d^4*e^6*f^10 + 1568*a^6*b^10*c^13*d^3*e^5*f^11 + 840*a^6*b^10*c^14*d^2*e^4*f^12 - 2800*a^7*b^9*c^4*d^12*e^13*f^3 + 4480*a^7*b^9*c^5*d^11*e^12*f^4 + 7392*a^7*b^9*c^6*d^10*e^11*f^5 - 24640*a^7*b^9*c^7*d^9*e^10*f^6 + 15400*a^7*b^9*c^8*d^8*e^9*f^7 + 15400*a^7*b^9*c^9*d^7*e^8*f^8 - 24640*a^7*b^9*c^10*d^6*e^7*f^9 + 7392*a^7*b^9*c^11*d^5*e^6*f^10 + 4480*a^7*b^9*c^12*d^4*e^5*f^11 - 2800*a^7*b^9*c^13*d^3*e^4*f^12 - 300*a^8*b^8*c^2*d^14*e^14*f^2 + 1400*a^8*b^8*c^3*d^13*e^13*f^3 + 1750*a^8*b^8*c^4*d^12*e^12*f^4 - 12264*a^8*b^8*c^5*d^11*e^11*f^5 + 11396*a^8*b^8*c^6*d^10*e^10*f^6 + 15400*a^8*b^8*c^7*d^9*e^9*f^7 - 34650*a^8*b^8*c^8*d^8*e^8*f^8 + 15400*a^8*b^8*c^9*d^7*e^7*f^9 + 11396*a^8*b^8*c^10*d^6*e^6*f^10 - 12264*a^8*b^8*c^11*d^5*e^5*f^11 + 1750*a^8*b^8*c^12*d^4*e^4*f^12 + 1400*a^8*b^8*c^13*d^3*e^3*f^13 - 300*a^8*b^8*c^14*d^2*e^2*f^14 - 2800*a^9*b^7*c^3*d^13*e^12*f^4 + 4480*a^9*b^7*c^4*d^12*e^11*f^5 + 7392*a^9*b^7*c^5*d^11*e^10*f^6 - 24640*a^9*b^7*c^6*d^10*e^9*f^7 + 15400*a^9*b^7*c^7*d^9*e^8*f^8 + 15400*a^9*b^7*c^8*d^8*e^7*f^9 - 24640*a^9*b^7*c^9*d^7*e^6*f^10 + 7392*a^9*b^7*c^10*d^6*e^5*f^11 + 4480*a^9*b^7*c^11*d^5*e^4*f^12 - 2800*a^9*b^7*c^12*d^4*e^3*f^13 + 840*a^10*b^6*c^2*d^14*e^12*f^4 + 1568*a^10*b^6*c^3*d^13*e^11*f^5 - 8624*a^10*b^6*c^4*d^12*e^10*f^6 + 7392*a^10*b^6*c^5*d^11*e^9*f^7 + 11396*a^10*b^6*c^6*d^10*e^8*f^8 - 24640*a^10*b^6*c^7*d^9*e^7*f^9 + 11396*a^10*b^6*c^8*d^8*e^6*f^10 + 7392*a^10*b^6*c^9*d^7*e^5*f^11 - 8624*a^10*b^6*c^10*d^6*e^4*f^12 + 1568*a^10*b^6*c^11*d^5*e^3*f^13 + 840*a^10*b^6*c^12*d^4*e^2*f^14 - 1344*a^11*b^5*c^2*d^14*e^11*f^5 + 1568*a^11*b^5*c^3*d^13*e^10*f^6 + 4480*a^11*b^5*c^4*d^12*e^9*f^7 - 12264*a^11*b^5*c^5*d^11*e^8*f^8 + 7392*a^11*b^5*c^6*d^10*e^7*f^9 + 7392*a^11*b^5*c^7*d^9*e^6*f^10 - 12264*a^11*b^5*c^8*d^8*e^5*f^11 + 4480*a^11*b^5*c^9*d^7*e^4*f^12 + 1568*a^11*b^5*c^10*d^6*e^3*f^13 - 1344*a^11*b^5*c^11*d^5*e^2*f^14 + 840*a^12*b^4*c^2*d^14*e^10*f^6 - 2800*a^12*b^4*c^3*d^13*e^9*f^7 + 1750*a^12*b^4*c^4*d^12*e^8*f^8 + 4480*a^12*b^4*c^5*d^11*e^7*f^9 - 8624*a^12*b^4*c^6*d^10*e^6*f^10 + 4480*a^12*b^4*c^7*d^9*e^5*f^11 + 1750*a^12*b^4*c^8*d^8*e^4*f^12 - 2800*a^12*b^4*c^9*d^7*e^3*f^13 + 840*a^12*b^4*c^10*d^6*e^2*f^14 + 1400*a^13*b^3*c^3*d^13*e^8*f^8 - 2800*a^13*b^3*c^4*d^12*e^7*f^9 + 1568*a^13*b^3*c^5*d^11*e^6*f^10 + 1568*a^13*b^3*c^6*d^10*e^5*f^11 - 2800*a^13*b^3*c^7*d^9*e^4*f^12 + 1400*a^13*b^3*c^8*d^8*e^3*f^13 - 300*a^14*b^2*c^2*d^14*e^8*f^8 + 840*a^14*b^2*c^4*d^12*e^6*f^10 - 1344*a^14*b^2*c^5*d^11*e^5*f^11 + 840*a^14*b^2*c^6*d^10*e^4*f^12 - 300*a^14*b^2*c^8*d^8*e^2*f^14))*root(756756*a^10*b^10*c^10*d^10*e^10*f^10*z^3 + 573300*a^12*b^8*c^9*d^11*e^9*f^11*z^3 + 573300*a^11*b^9*c^11*d^9*e^8*f^12*z^3 + 573300*a^11*b^9*c^8*d^12*e^11*f^9*z^3 + 573300*a^9*b^11*c^12*d^8*e^9*f^11*z^3 + 573300*a^9*b^11*c^9*d^11*e^12*f^8*z^3 + 573300*a^8*b^12*c^11*d^9*e^11*f^9*z^3 - 343980*a^11*b^9*c^10*d^10*e^9*f^11*z^3 - 343980*a^11*b^9*c^9*d^11*e^10*f^10*z^3 - 343980*a^10*b^10*c^11*d^9*e^9*f^11*z^3 - 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7980*a^5*b^15*c^9*d^11*e^16*f^4*z^3 - 7980*a^4*b^16*c^15*d^5*e^11*f^9*z^3 - 7980*a^4*b^16*c^11*d^9*e^15*f^5*z^3 + 6300*a^18*b^2*c^6*d^14*e^6*f^14*z^3 + 6300*a^14*b^6*c^14*d^6*e^2*f^18*z^3 + 6300*a^14*b^6*c^2*d^18*e^14*f^6*z^3 + 6300*a^6*b^14*c^18*d^2*e^6*f^14*z^3 + 6300*a^6*b^14*c^6*d^14*e^18*f^2*z^3 + 6300*a^2*b^18*c^14*d^6*e^14*f^6*z^3 - 4260*a^18*b^2*c^7*d^13*e^5*f^15*z^3 - 4260*a^18*b^2*c^5*d^15*e^7*f^13*z^3 - 4260*a^15*b^5*c^13*d^7*e^2*f^18*z^3 - 4260*a^15*b^5*c^2*d^18*e^13*f^7*z^3 - 4260*a^13*b^7*c^15*d^5*e^2*f^18*z^3 - 4260*a^13*b^7*c^2*d^18*e^15*f^5*z^3 - 4260*a^7*b^13*c^18*d^2*e^5*f^15*z^3 - 4260*a^7*b^13*c^5*d^15*e^18*f^2*z^3 - 4260*a^5*b^15*c^18*d^2*e^7*f^13*z^3 - 4260*a^5*b^15*c^7*d^13*e^18*f^2*z^3 - 4260*a^2*b^18*c^15*d^5*e^13*f^7*z^3 - 4260*a^2*b^18*c^13*d^7*e^15*f^5*z^3 + 1470*a^17*b^3*c^10*d^10*e^3*f^17*z^3 + 1470*a^17*b^3*c^3*d^17*e^10*f^10*z^3 + 1470*a^10*b^10*c^17*d^3*e^3*f^17*z^3 + 1470*a^10*b^10*c^3*d^17*e^17*f^3*z^3 + 1470*a^3*b^17*c^17*d^3*e^10*f^10*z^3 + 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525*a^8*b^12*c^4*d^16*e^18*f^2*z^3 + 525*a^4*b^16*c^18*d^2*e^8*f^12*z^3 + 525*a^4*b^16*c^8*d^12*e^18*f^2*z^3 + 525*a^2*b^18*c^16*d^4*e^12*f^8*z^3 + 525*a^2*b^18*c^12*d^8*e^16*f^4*z^3 + 900*a^19*b*c^7*d^13*e^4*f^16*z^3 + 900*a^19*b*c^4*d^16*e^7*f^13*z^3 + 900*a^16*b^4*c^13*d^7*e*f^19*z^3 + 900*a^16*b^4*c*d^19*e^13*f^7*z^3 + 900*a^13*b^7*c^16*d^4*e*f^19*z^3 + 900*a^13*b^7*c*d^19*e^16*f^4*z^3 + 900*a^7*b^13*c^19*d*e^4*f^16*z^3 + 900*a^7*b^13*c^4*d^16*e^19*f*z^3 + 900*a^4*b^16*c^19*d*e^7*f^13*z^3 + 900*a^4*b^16*c^7*d^13*e^19*f*z^3 + 900*a*b^19*c^16*d^4*e^13*f^7*z^3 + 900*a*b^19*c^13*d^7*e^16*f^4*z^3 - 750*a^19*b*c^8*d^12*e^3*f^17*z^3 - 750*a^19*b*c^3*d^17*e^8*f^12*z^3 - 750*a^17*b^3*c^12*d^8*e*f^19*z^3 - 750*a^17*b^3*c*d^19*e^12*f^8*z^3 - 750*a^12*b^8*c^17*d^3*e*f^19*z^3 - 750*a^12*b^8*c*d^19*e^17*f^3*z^3 - 750*a^8*b^12*c^19*d*e^3*f^17*z^3 - 750*a^8*b^12*c^3*d^17*e^19*f*z^3 - 750*a^3*b^17*c^19*d*e^8*f^12*z^3 - 750*a^3*b^17*c^8*d^12*e^19*f*z^3 - 750*a*b^19*c^17*d^3*e^12*f^8*z^3 - 750*a*b^19*c^12*d^8*e^17*f^3*z^3 - 420*a^19*b*c^6*d^14*e^5*f^15*z^3 - 420*a^19*b*c^5*d^15*e^6*f^14*z^3 - 420*a^15*b^5*c^14*d^6*e*f^19*z^3 - 420*a^15*b^5*c*d^19*e^14*f^6*z^3 - 420*a^14*b^6*c^15*d^5*e*f^19*z^3 - 420*a^14*b^6*c*d^19*e^15*f^5*z^3 - 420*a^6*b^14*c^19*d*e^5*f^15*z^3 - 420*a^6*b^14*c^5*d^15*e^19*f*z^3 - 420*a^5*b^15*c^19*d*e^6*f^14*z^3 - 420*a^5*b^15*c^6*d^14*e^19*f*z^3 - 420*a*b^19*c^15*d^5*e^14*f^6*z^3 - 420*a*b^19*c^14*d^6*e^15*f^5*z^3 + 350*a^19*b*c^9*d^11*e^2*f^18*z^3 + 350*a^19*b*c^2*d^18*e^9*f^11*z^3 + 350*a^18*b^2*c^11*d^9*e*f^19*z^3 + 350*a^18*b^2*c*d^19*e^11*f^9*z^3 + 350*a^11*b^9*c^18*d^2*e*f^19*z^3 + 350*a^11*b^9*c*d^19*e^18*f^2*z^3 + 350*a^9*b^11*c^19*d*e^2*f^18*z^3 + 350*a^9*b^11*c^2*d^18*e^19*f*z^3 + 350*a^2*b^18*c^19*d*e^9*f^11*z^3 + 350*a^2*b^18*c^9*d^11*e^19*f*z^3 + 350*a*b^19*c^18*d^2*e^11*f^9*z^3 + 350*a*b^19*c^11*d^9*e^18*f^2*z^3 - 90*a^19*b*c^10*d^10*e*f^19*z^3 - 90*a^19*b*c*d^19*e^10*f^10*z^3 - 90*a^10*b^10*c^19*d*e*f^19*z^3 - 90*a^10*b^10*c*d^19*e^19*f*z^3 - 90*a*b^19*c^19*d*e^10*f^10*z^3 - 90*a*b^19*c^10*d^10*e^19*f*z^3 + 10*b^20*c^19*d*e^11*f^9*z^3 + 10*b^20*c^11*d^9*e^19*f*z^3 + 10*a^20*c^9*d^11*e*f^19*z^3 + 10*a^20*c*d^19*e^9*f^11*z^3 + 10*a^19*b*d^20*e^11*f^9*z^3 + 10*a^11*b^9*d^20*e^19*f*z^3 + 10*a^9*b^11*c^20*e*f^19*z^3 + 10*a*b^19*c^20*e^9*f^11*z^3 + 10*a^19*b*c^11*d^9*f^20*z^3 + 10*a^11*b^9*c^19*d*f^20*z^3 + 10*a^9*b^11*c*d^19*e^20*z^3 + 10*a*b^19*c^9*d^11*e^20*z^3 + 252*b^20*c^15*d^5*e^15*f^5*z^3 - 210*b^20*c^16*d^4*e^14*f^6*z^3 - 210*b^20*c^14*d^6*e^16*f^4*z^3 + 120*b^20*c^17*d^3*e^13*f^7*z^3 + 120*b^20*c^13*d^7*e^17*f^3*z^3 - 45*b^20*c^18*d^2*e^12*f^8*z^3 - 45*b^20*c^12*d^8*e^18*f^2*z^3 + 252*a^20*c^5*d^15*e^5*f^15*z^3 - 210*a^20*c^6*d^14*e^4*f^16*z^3 - 210*a^20*c^4*d^16*e^6*f^14*z^3 + 120*a^20*c^7*d^13*e^3*f^17*z^3 + 120*a^20*c^3*d^17*e^7*f^13*z^3 - 45*a^20*c^8*d^12*e^2*f^18*z^3 - 45*a^20*c^2*d^18*e^8*f^12*z^3 + 252*a^15*b^5*d^20*e^15*f^5*z^3 - 210*a^16*b^4*d^20*e^14*f^6*z^3 - 210*a^14*b^6*d^20*e^16*f^4*z^3 + 120*a^17*b^3*d^20*e^13*f^7*z^3 + 120*a^13*b^7*d^20*e^17*f^3*z^3 - 45*a^18*b^2*d^20*e^12*f^8*z^3 - 45*a^12*b^8*d^20*e^18*f^2*z^3 + 252*a^5*b^15*c^20*e^5*f^15*z^3 - 210*a^6*b^14*c^20*e^4*f^16*z^3 - 210*a^4*b^16*c^20*e^6*f^14*z^3 + 120*a^7*b^13*c^20*e^3*f^17*z^3 + 120*a^3*b^17*c^20*e^7*f^13*z^3 - 45*a^8*b^12*c^20*e^2*f^18*z^3 - 45*a^2*b^18*c^20*e^8*f^12*z^3 + 252*a^15*b^5*c^15*d^5*f^20*z^3 - 210*a^16*b^4*c^14*d^6*f^20*z^3 - 210*a^14*b^6*c^16*d^4*f^20*z^3 + 120*a^17*b^3*c^13*d^7*f^20*z^3 + 120*a^13*b^7*c^17*d^3*f^20*z^3 - 45*a^18*b^2*c^12*d^8*f^20*z^3 - 45*a^12*b^8*c^18*d^2*f^20*z^3 + 252*a^5*b^15*c^5*d^15*e^20*z^3 - 210*a^6*b^14*c^4*d^16*e^20*z^3 - 210*a^4*b^16*c^6*d^14*e^20*z^3 + 120*a^7*b^13*c^3*d^17*e^20*z^3 + 120*a^3*b^17*c^7*d^13*e^20*z^3 - 45*a^8*b^12*c^2*d^18*e^20*z^3 - 45*a^2*b^18*c^8*d^12*e^20*z^3 - b^20*c^20*e^10*f^10*z^3 - a^20*d^20*e^10*f^10*z^3 - b^20*c^10*d^10*e^20*z^3 - a^20*c^10*d^10*f^20*z^3 - a^10*b^10*d^20*e^20*z^3 - a^10*b^10*c^20*f^20*z^3 + 1890*a^12*b^2*c*d^13*e*f^13*z + 1890*a*b^13*c^12*d^2*e*f^13*z + 1890*a*b^13*c*d^13*e^12*f^2*z + 92610*a^6*b^8*c^4*d^10*e^4*f^10*z + 92610*a^4*b^10*c^6*d^8*e^4*f^10*z + 92610*a^4*b^10*c^4*d^10*e^6*f^8*z + 66150*a^8*b^6*c^3*d^11*e^3*f^11*z - 66150*a^7*b^7*c^4*d^10*e^3*f^11*z - 66150*a^7*b^7*c^3*d^11*e^4*f^10*z - 66150*a^4*b^10*c^7*d^7*e^3*f^11*z - 66150*a^4*b^10*c^3*d^11*e^7*f^7*z + 66150*a^3*b^11*c^8*d^6*e^3*f^11*z - 66150*a^3*b^11*c^7*d^7*e^4*f^10*z - 66150*a^3*b^11*c^4*d^10*e^7*f^7*z + 66150*a^3*b^11*c^3*d^11*e^8*f^6*z - 55566*a^5*b^9*c^5*d^9*e^4*f^10*z - 55566*a^5*b^9*c^4*d^10*e^5*f^9*z - 55566*a^4*b^10*c^5*d^9*e^5*f^9*z - 32130*a^9*b^5*c^3*d^11*e^2*f^12*z - 32130*a^9*b^5*c^2*d^12*e^3*f^11*z - 32130*a^3*b^11*c^9*d^5*e^2*f^12*z - 32130*a^3*b^11*c^2*d^12*e^9*f^5*z - 32130*a^2*b^12*c^9*d^5*e^3*f^11*z - 32130*a^2*b^12*c^3*d^11*e^9*f^5*z + 22680*a^8*b^6*c^4*d^10*e^2*f^12*z + 22680*a^8*b^6*c^2*d^12*e^4*f^10*z + 22680*a^4*b^10*c^8*d^6*e^2*f^12*z + 22680*a^4*b^10*c^2*d^12*e^8*f^6*z + 22680*a^2*b^12*c^8*d^6*e^4*f^10*z + 22680*a^2*b^12*c^4*d^10*e^8*f^6*z + 19278*a^10*b^4*c^2*d^12*e^2*f^12*z + 19278*a^2*b^12*c^10*d^4*e^2*f^12*z + 19278*a^2*b^12*c^2*d^12*e^10*f^4*z + 18522*a^6*b^8*c^5*d^9*e^3*f^11*z + 18522*a^6*b^8*c^3*d^11*e^5*f^9*z + 18522*a^5*b^9*c^6*d^8*e^3*f^11*z + 18522*a^5*b^9*c^3*d^11*e^6*f^8*z + 18522*a^3*b^11*c^6*d^8*e^5*f^9*z + 18522*a^3*b^11*c^5*d^9*e^6*f^8*z - 13230*a^6*b^8*c^6*d^8*e^2*f^12*z - 13230*a^6*b^8*c^2*d^12*e^6*f^8*z - 13230*a^2*b^12*c^6*d^8*e^6*f^8*z + 3402*a^7*b^7*c^5*d^9*e^2*f^12*z + 3402*a^7*b^7*c^2*d^12*e^5*f^9*z + 3402*a^5*b^9*c^7*d^7*e^2*f^12*z + 3402*a^5*b^9*c^2*d^12*e^7*f^7*z + 3402*a^2*b^12*c^7*d^7*e^5*f^9*z + 3402*a^2*b^12*c^5*d^9*e^7*f^7*z + 7938*a^10*b^4*c^3*d^11*e*f^13*z + 7938*a^10*b^4*c*d^13*e^3*f^11*z + 7938*a^3*b^11*c^10*d^4*e*f^13*z + 7938*a^3*b^11*c*d^13*e^10*f^4*z + 7938*a*b^13*c^10*d^4*e^3*f^11*z + 7938*a*b^13*c^3*d^11*e^10*f^4*z - 5670*a^11*b^3*c^2*d^12*e*f^13*z - 5670*a^11*b^3*c*d^13*e^2*f^12*z - 5670*a^2*b^12*c^11*d^3*e*f^13*z - 5670*a^2*b^12*c*d^13*e^11*f^3*z - 5670*a*b^13*c^11*d^3*e^2*f^12*z - 5670*a*b^13*c^2*d^12*e^11*f^3*z - 3780*a^9*b^5*c^4*d^10*e*f^13*z - 3780*a^9*b^5*c*d^13*e^4*f^10*z - 3780*a^4*b^10*c^9*d^5*e*f^13*z - 3780*a^4*b^10*c*d^13*e^9*f^5*z - 3780*a*b^13*c^9*d^5*e^4*f^10*z - 3780*a*b^13*c^4*d^10*e^9*f^5*z - 2268*a^8*b^6*c^5*d^9*e*f^13*z - 2268*a^8*b^6*c*d^13*e^5*f^9*z - 2268*a^5*b^9*c^8*d^6*e*f^13*z - 2268*a^5*b^9*c*d^13*e^8*f^6*z - 2268*a*b^13*c^8*d^6*e^5*f^9*z - 2268*a*b^13*c^5*d^9*e^8*f^6*z + 1890*a^7*b^7*c^6*d^8*e*f^13*z + 1890*a^7*b^7*c*d^13*e^6*f^8*z + 1890*a^6*b^8*c^7*d^7*e*f^13*z + 1890*a^6*b^8*c*d^13*e^7*f^7*z + 1890*a*b^13*c^7*d^7*e^6*f^8*z + 1890*a*b^13*c^6*d^8*e^7*f^7*z - 252*b^14*c^13*d*e*f^13*z - 252*b^14*c*d^13*e^13*f*z - 252*a^13*b*d^14*e*f^13*z - 252*a*b^13*d^14*e^13*f*z - 252*a^13*b*c*d^13*f^14*z - 252*a*b^13*c^13*d*f^14*z - 918*b^14*c^7*d^7*e^7*f^7*z - 882*b^14*c^11*d^3*e^3*f^11*z - 882*b^14*c^3*d^11*e^11*f^3*z + 693*b^14*c^12*d^2*e^2*f^12*z + 693*b^14*c^2*d^12*e^12*f^2*z + 567*b^14*c^8*d^6*e^6*f^8*z + 567*b^14*c^6*d^8*e^8*f^6*z + 441*b^14*c^10*d^4*e^4*f^10*z + 441*b^14*c^4*d^10*e^10*f^4*z - 126*b^14*c^9*d^5*e^5*f^9*z - 126*b^14*c^5*d^9*e^9*f^5*z - 918*a^7*b^7*d^14*e^7*f^7*z - 882*a^11*b^3*d^14*e^3*f^11*z - 882*a^3*b^11*d^14*e^11*f^3*z + 693*a^12*b^2*d^14*e^2*f^12*z + 693*a^2*b^12*d^14*e^12*f^2*z + 567*a^8*b^6*d^14*e^6*f^8*z + 567*a^6*b^8*d^14*e^8*f^6*z + 441*a^10*b^4*d^14*e^4*f^10*z + 441*a^4*b^10*d^14*e^10*f^4*z - 126*a^9*b^5*d^14*e^5*f^9*z - 126*a^5*b^9*d^14*e^9*f^5*z - 918*a^7*b^7*c^7*d^7*f^14*z - 882*a^11*b^3*c^3*d^11*f^14*z - 882*a^3*b^11*c^11*d^3*f^14*z + 693*a^12*b^2*c^2*d^12*f^14*z + 693*a^2*b^12*c^12*d^2*f^14*z + 567*a^8*b^6*c^6*d^8*f^14*z + 567*a^6*b^8*c^8*d^6*f^14*z + 441*a^10*b^4*c^4*d^10*f^14*z + 441*a^4*b^10*c^10*d^4*f^14*z - 126*a^9*b^5*c^5*d^9*f^14*z - 126*a^5*b^9*c^9*d^5*f^14*z + 36*b^14*d^14*e^14*z + 36*b^14*c^14*f^14*z + 36*a^14*d^14*f^14*z - 27054*a^2*b^9*c^2*d^9*e^2*f^9 + 9018*a^3*b^8*c^2*d^9*e*f^10 + 9018*a^3*b^8*c*d^10*e^2*f^9 + 9018*a^2*b^9*c^3*d^8*e*f^10 + 9018*a^2*b^9*c*d^10*e^3*f^8 + 9018*a*b^10*c^3*d^8*e^2*f^9 + 9018*a*b^10*c^2*d^9*e^3*f^8 - 9018*a^4*b^7*c*d^10*e*f^10 - 9018*a*b^10*c^4*d^7*e*f^10 - 9018*a*b^10*c*d^10*e^4*f^7 + 2268*b^11*c^5*d^6*e*f^10 + 2268*b^11*c*d^10*e^5*f^6 + 2268*a^5*b^6*d^11*e*f^10 + 2268*a*b^10*d^11*e^5*f^6 + 2268*a^5*b^6*c*d^10*f^11 + 2268*a*b^10*c^5*d^6*f^11 - 1458*b^11*c^3*d^8*e^3*f^8 - 1161*b^11*c^4*d^7*e^2*f^9 - 1161*b^11*c^2*d^9*e^4*f^7 - 1458*a^3*b^8*d^11*e^3*f^8 - 1161*a^4*b^7*d^11*e^2*f^9 - 1161*a^2*b^9*d^11*e^4*f^7 - 1458*a^3*b^8*c^3*d^8*f^11 - 1161*a^4*b^7*c^2*d^9*f^11 - 1161*a^2*b^9*c^4*d^7*f^11 - 756*b^11*d^11*e^6*f^5 - 756*b^11*c^6*d^5*f^11 - 756*a^6*b^5*d^11*f^11, z, k), k, 1, 3) - ((7*a*b^6*c^2*d^5*e^7 - a^3*b^4*d^7*e^7 - a^7*c^3*d^4*f^7 - b^7*c^3*d^4*e^7 - a^7*d^7*e^3*f^4 - b^7*c^7*e^3*f^4 - 6*a^5*b^2*c^5*d^2*f^7 - 6*a^5*b^2*d^7*e^5*f^2 - 6*b^7*c^5*d^2*e^5*f^2 - 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48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (3*x^5*(2*a^5*b^2*d^7*f^7 + 2*b^7*c^5*d^2*f^7 + 2*b^7*d^7*e^5*f^2 + 2*a^2*b^5*c^3*d^4*f^7 + 2*a^3*b^4*c^2*d^5*f^7 + 2*a^2*b^5*d^7*e^3*f^4 + 2*a^3*b^4*d^7*e^2*f^5 + 2*b^7*c^2*d^5*e^3*f^4 + 2*b^7*c^3*d^4*e^2*f^5 - 5*a*b^6*c^4*d^3*f^7 - 5*a^4*b^3*c*d^6*f^7 - 5*a*b^6*d^7*e^4*f^3 - 5*a^4*b^3*d^7*e*f^6 - 5*b^7*c*d^6*e^4*f^3 - 5*b^7*c^4*d^3*e*f^6 + 16*a*b^6*c*d^6*e^3*f^4 + 16*a*b^6*c^3*d^4*e*f^6 + 16*a^3*b^4*c*d^6*e*f^6 - 12*a*b^6*c^2*d^5*e^2*f^5 - 12*a^2*b^5*c*d^6*e^2*f^5 - 12*a^2*b^5*c^2*d^5*e*f^6))/(4*a*b^7*c^3*d^5*e^8 - 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48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6) + (3*x^4*(8*a^6*b*d^7*f^7 + 8*b^7*c^6*d*f^7 + 8*b^7*d^7*e^6*f - 7*a^2*b^5*c^4*d^3*f^7 + 14*a^3*b^4*c^3*d^4*f^7 - 7*a^4*b^3*c^2*d^5*f^7 - 7*a^2*b^5*d^7*e^4*f^3 + 14*a^3*b^4*d^7*e^3*f^4 - 7*a^4*b^3*d^7*e^2*f^5 - 7*b^7*c^2*d^5*e^4*f^3 + 14*b^7*c^3*d^4*e^3*f^4 - 7*b^7*c^4*d^3*e^2*f^5 - 14*a*b^6*c^5*d^2*f^7 - 14*a^5*b^2*c*d^6*f^7 - 14*a*b^6*d^7*e^5*f^2 - 14*a^5*b^2*d^7*e*f^6 - 14*b^7*c*d^6*e^5*f^2 - 14*b^7*c^5*d^2*e*f^6 + 34*a*b^6*c*d^6*e^4*f^3 + 34*a*b^6*c^4*d^3*e*f^6 + 34*a^4*b^3*c*d^6*e*f^6 + 6*a*b^6*c^2*d^5*e^3*f^4 + 6*a*b^6*c^3*d^4*e^2*f^5 + 6*a^2*b^5*c*d^6*e^3*f^4 + 6*a^2*b^5*c^3*d^4*e*f^6 + 6*a^3*b^4*c*d^6*e^2*f^5 + 6*a^3*b^4*c^2*d^5*e*f^6 - 78*a^2*b^5*c^2*d^5*e^2*f^5))/(2*(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (x^2*(18*a*b^6*c^7*f^7 + 18*a*b^6*d^7*e^7 + 18*a^7*c*d^6*f^7 + 18*b^7*c*d^6*e^7 + 18*a^7*d^7*e*f^6 + 18*b^7*c^7*e*f^6 - 3*a^3*b^4*c^5*d^2*f^7 + 32*a^4*b^3*c^4*d^3*f^7 - 3*a^5*b^2*c^3*d^4*f^7 - 3*a^3*b^4*d^7*e^5*f^2 + 32*a^4*b^3*d^7*e^4*f^3 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6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6)) + (x*(2*a^2*b^5*c^7*f^7 + 2*a^2*b^5*d^7*e^7 + 2*a^7*c^2*d^5*f^7 + 2*b^7*c^2*d^5*e^7 + 2*a^7*d^7*e^2*f^5 + 2*b^7*c^7*e^2*f^5 + 4*a^4*b^3*c^5*d^2*f^7 + 4*a^5*b^2*c^4*d^3*f^7 + 4*a^4*b^3*d^7*e^5*f^2 + 4*a^5*b^2*d^7*e^4*f^3 + 4*b^7*c^4*d^3*e^5*f^2 + 4*b^7*c^5*d^2*e^4*f^3 + 14*a*b^6*c*d^6*e^7 + 14*a*b^6*c^7*e*f^6 + 14*a^7*c*d^6*e*f^6 - 6*a^3*b^4*c^6*d*f^7 - 6*a^6*b*c^3*d^4*f^7 - 6*a^3*b^4*d^7*e^6*f - 6*a^6*b*d^7*e^3*f^4 - 6*b^7*c^3*d^4*e^6*f - 6*b^7*c^6*d*e^3*f^4 - 33*a*b^6*c^2*d^5*e^6*f - 33*a*b^6*c^6*d*e^2*f^5 - 33*a^2*b^5*c*d^6*e^6*f - 33*a^2*b^5*c^6*d*e*f^6 - 33*a^6*b*c*d^6*e^2*f^5 - 33*a^6*b*c^2*d^5*e*f^6 + 17*a*b^6*c^3*d^4*e^5*f^2 - 8*a*b^6*c^4*d^3*e^4*f^3 + 17*a*b^6*c^5*d^2*e^3*f^4 + 17*a^3*b^4*c*d^6*e^5*f^2 + 17*a^3*b^4*c^5*d^2*e*f^6 - 8*a^4*b^3*c*d^6*e^4*f^3 - 8*a^4*b^3*c^4*d^3*e*f^6 + 17*a^5*b^2*c*d^6*e^3*f^4 + 17*a^5*b^2*c^3*d^4*e*f^6 + 78*a^2*b^5*c^2*d^5*e^5*f^2 - 26*a^2*b^5*c^3*d^4*e^4*f^3 - 26*a^2*b^5*c^4*d^3*e^3*f^4 + 78*a^2*b^5*c^5*d^2*e^2*f^5 - 26*a^3*b^4*c^2*d^5*e^4*f^3 - 26*a^3*b^4*c^4*d^3*e^2*f^5 - 26*a^4*b^3*c^2*d^5*e^3*f^4 - 26*a^4*b^3*c^3*d^4*e^2*f^5 + 78*a^5*b^2*c^2*d^5*e^2*f^5))/(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6) + (x^3*(6*a^7*d^7*f^7 + 6*b^7*c^7*f^7 + 6*b^7*d^7*e^7 - 37*a^2*b^5*c^5*d^2*f^7 + 19*a^3*b^4*c^4*d^3*f^7 + 19*a^4*b^3*c^3*d^4*f^7 - 37*a^5*b^2*c^2*d^5*f^7 - 37*a^2*b^5*d^7*e^5*f^2 + 19*a^3*b^4*d^7*e^4*f^3 + 19*a^4*b^3*d^7*e^3*f^4 - 37*a^5*b^2*d^7*e^2*f^5 - 37*b^7*c^2*d^5*e^5*f^2 + 19*b^7*c^3*d^4*e^4*f^3 + 19*b^7*c^4*d^3*e^3*f^4 - 37*b^7*c^5*d^2*e^2*f^5 + 3*a*b^6*c^6*d*f^7 + 3*a^6*b*c*d^6*f^7 + 3*a*b^6*d^7*e^6*f + 3*a^6*b*d^7*e*f^6 + 3*b^7*c*d^6*e^6*f + 3*b^7*c^6*d*e*f^6 - 28*a*b^6*c*d^6*e^5*f^2 - 28*a*b^6*c^5*d^2*e*f^6 - 28*a^5*b^2*c*d^6*e*f^6 + 86*a*b^6*c^2*d^5*e^4*f^3 - 68*a*b^6*c^3*d^4*e^3*f^4 + 86*a*b^6*c^4*d^3*e^2*f^5 + 86*a^2*b^5*c*d^6*e^4*f^3 + 86*a^2*b^5*c^4*d^3*e*f^6 - 68*a^3*b^4*c*d^6*e^3*f^4 - 68*a^3*b^4*c^3*d^4*e*f^6 + 86*a^4*b^3*c*d^6*e^2*f^5 + 86*a^4*b^3*c^2*d^5*e*f^6 - 52*a^2*b^5*c^2*d^5*e^3*f^4 - 52*a^2*b^5*c^3*d^4*e^2*f^5 - 52*a^3*b^4*c^2*d^5*e^2*f^5))/(4*a*b^7*c^3*d^5*e^8 - a^4*b^4*d^8*e^8 - a^8*c^4*d^4*f^8 - b^8*c^4*d^4*e^8 - a^8*d^8*e^4*f^4 - b^8*c^8*e^4*f^4 - 6*a^2*b^6*c^2*d^6*e^8 - 6*a^6*b^2*c^6*d^2*f^8 - 6*a^2*b^6*c^8*e^2*f^6 - 6*a^6*b^2*d^8*e^6*f^2 - 6*a^8*c^2*d^6*e^2*f^6 - 6*b^8*c^6*d^2*e^6*f^2 - a^4*b^4*c^8*f^8 + 4*a^3*b^5*c*d^7*e^8 + 4*a^5*b^3*c^7*d*f^8 + 4*a^7*b*c^5*d^3*f^8 + 4*a*b^7*c^8*e^3*f^5 + 4*a^3*b^5*c^8*e*f^7 + 4*a^5*b^3*d^8*e^7*f + 4*a^7*b*d^8*e^5*f^3 + 4*a^8*c*d^7*e^3*f^5 + 4*a^8*c^3*d^5*e*f^7 + 4*b^8*c^5*d^3*e^7*f + 4*b^8*c^7*d*e^5*f^3 - 12*a*b^7*c^4*d^4*e^7*f - 12*a*b^7*c^7*d*e^4*f^4 - 12*a^4*b^4*c*d^7*e^7*f - 12*a^4*b^4*c^7*d*e*f^7 - 12*a^7*b*c*d^7*e^4*f^4 - 12*a^7*b*c^4*d^4*e*f^7 + 8*a*b^7*c^5*d^3*e^6*f^2 + 8*a*b^7*c^6*d^2*e^5*f^3 + 8*a^2*b^6*c^3*d^5*e^7*f + 8*a^2*b^6*c^7*d*e^3*f^5 + 8*a^3*b^5*c^2*d^6*e^7*f + 8*a^3*b^5*c^7*d*e^2*f^6 + 8*a^5*b^3*c*d^7*e^6*f^2 + 8*a^5*b^3*c^6*d^2*e*f^7 + 8*a^6*b^2*c*d^7*e^5*f^3 + 8*a^6*b^2*c^5*d^3*e*f^7 + 8*a^7*b*c^2*d^6*e^3*f^5 + 8*a^7*b*c^3*d^5*e^2*f^6 + 22*a^2*b^6*c^4*d^4*e^6*f^2 - 48*a^2*b^6*c^5*d^3*e^5*f^3 + 22*a^2*b^6*c^6*d^2*e^4*f^4 - 48*a^3*b^5*c^3*d^5*e^6*f^2 + 36*a^3*b^5*c^4*d^4*e^5*f^3 + 36*a^3*b^5*c^5*d^3*e^4*f^4 - 48*a^3*b^5*c^6*d^2*e^3*f^5 + 22*a^4*b^4*c^2*d^6*e^6*f^2 + 36*a^4*b^4*c^3*d^5*e^5*f^3 - 90*a^4*b^4*c^4*d^4*e^4*f^4 + 36*a^4*b^4*c^5*d^3*e^3*f^5 + 22*a^4*b^4*c^6*d^2*e^2*f^6 - 48*a^5*b^3*c^2*d^6*e^5*f^3 + 36*a^5*b^3*c^3*d^5*e^4*f^4 + 36*a^5*b^3*c^4*d^4*e^3*f^5 - 48*a^5*b^3*c^5*d^3*e^2*f^6 + 22*a^6*b^2*c^2*d^6*e^4*f^4 - 48*a^6*b^2*c^3*d^5*e^3*f^5 + 22*a^6*b^2*c^4*d^4*e^2*f^6))/(x*(2*a*b*c^2*e^2 + 2*a^2*c*d*e^2 + 2*a^2*c^2*e*f) + x^3*(2*a*b*c^2*f^2 + 2*a*b*d^2*e^2 + 2*a^2*c*d*f^2 + 2*b^2*c*d*e^2 + 2*a^2*d^2*e*f + 2*b^2*c^2*e*f + 8*a*b*c*d*e*f) + x^2*(a^2*c^2*f^2 + a^2*d^2*e^2 + b^2*c^2*e^2 + 4*a*b*c*d*e^2 + 4*a*b*c^2*e*f + 4*a^2*c*d*e*f) + x^5*(2*a*b*d^2*f^2 + 2*b^2*c*d*f^2 + 2*b^2*d^2*e*f) + x^4*(a^2*d^2*f^2 + b^2*c^2*f^2 + b^2*d^2*e^2 + 4*a*b*c*d*f^2 + 4*a*b*d^2*e*f + 4*b^2*c*d*e*f) + a^2*c^2*e^2 + b^2*d^2*f^2*x^6)","B"
21,1,25,25,2.200618,"\text{Not used}","int(1/(x + x^2 + x^3 + 1),x)","\frac{\ln\left(x+1\right)}{2}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x + 1)/2 - log(x - 1i)*(1/4 + 1i/4) - log(x + 1i)*(1/4 - 1i/4)","B"
22,1,25,31,0.053357,"\text{Not used}","int(1/(4*x - 4*x^2 + 16*x^3 - 1),x)","\frac{\ln\left(x-\frac{1}{4}\right)}{5}+\ln\left(x-\frac{1}{2}{}\mathrm{i}\right)\,\left(-\frac{1}{10}+\frac{1}{20}{}\mathrm{i}\right)+\ln\left(x+\frac{1}{2}{}\mathrm{i}\right)\,\left(-\frac{1}{10}-\frac{1}{20}{}\mathrm{i}\right)","Not used",1,"log(x - 1/4)/5 - log(x - 1i/2)*(1/10 - 1i/20) - log(x + 1i/2)*(1/10 + 1i/20)","B"
23,1,8,10,0.034459,"\text{Not used}","int(1/(d*x^3),x)","-\frac{1}{2\,d\,x^2}","Not used",1,"-1/(2*d*x^2)","B"
24,1,25,28,0.060171,"\text{Not used}","int(1/(c*x^2 + d*x^3),x)","\frac{2\,d\,\mathrm{atanh}\left(\frac{2\,d\,x}{c}+1\right)}{c^2}-\frac{1}{c\,x}","Not used",1,"(2*d*atanh((2*d*x)/c + 1))/c^2 - 1/(c*x)","B"
25,1,18,22,2.134396,"\text{Not used}","int(1/(b*x + d*x^3),x)","-\frac{\ln\left(d\,x^2+b\right)-2\,\ln\left(x\right)}{2\,b}","Not used",1,"-(log(b + d*x^2) - 2*log(x))/(2*b)","B"
26,1,213,62,0.465453,"\text{Not used}","int(1/(b*x + c*x^2 + d*x^3),x)","\frac{\ln\left(x\right)}{b}-\ln\left(\left(x\,\left(6\,b\,d^2-2\,c^2\,d\right)-b\,c\,d\right)\,\left(\frac{1}{2\,b}-\frac{c\,\sqrt{c^2-4\,b\,d}}{2\,\left(b\,c^2-4\,b^2\,d\right)}\right)-c\,d-3\,d^2\,x\right)\,\left(\frac{1}{2\,b}-\frac{c\,\sqrt{c^2-4\,b\,d}}{2\,\left(b\,c^2-4\,b^2\,d\right)}\right)-\ln\left(\left(x\,\left(6\,b\,d^2-2\,c^2\,d\right)-b\,c\,d\right)\,\left(\frac{1}{2\,b}+\frac{c\,\sqrt{c^2-4\,b\,d}}{2\,\left(b\,c^2-4\,b^2\,d\right)}\right)-c\,d-3\,d^2\,x\right)\,\left(\frac{1}{2\,b}+\frac{c\,\sqrt{c^2-4\,b\,d}}{2\,\left(b\,c^2-4\,b^2\,d\right)}\right)","Not used",1,"log(x)/b - log((x*(6*b*d^2 - 2*c^2*d) - b*c*d)*(1/(2*b) - (c*(c^2 - 4*b*d)^(1/2))/(2*(b*c^2 - 4*b^2*d))) - c*d - 3*d^2*x)*(1/(2*b) - (c*(c^2 - 4*b*d)^(1/2))/(2*(b*c^2 - 4*b^2*d))) - log((x*(6*b*d^2 - 2*c^2*d) - b*c*d)*(1/(2*b) + (c*(c^2 - 4*b*d)^(1/2))/(2*(b*c^2 - 4*b^2*d))) - c*d - 3*d^2*x)*(1/(2*b) + (c*(c^2 - 4*b*d)^(1/2))/(2*(b*c^2 - 4*b^2*d)))","B"
27,1,99,115,0.232694,"\text{Not used}","int(1/(a + d*x^3),x)","\frac{\ln\left(d^{1/3}\,x+a^{1/3}\right)}{3\,a^{2/3}\,d^{1/3}}+\frac{\ln\left(3\,d^2\,x+\frac{3\,a^{1/3}\,d^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,d^{1/3}}-\frac{\ln\left(3\,d^2\,x-\frac{3\,a^{1/3}\,d^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,d^{1/3}}","Not used",1,"log(d^(1/3)*x + a^(1/3))/(3*a^(2/3)*d^(1/3)) + (log(3*d^2*x + (3*a^(1/3)*d^(5/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*d^(1/3)) - (log(3*d^2*x - (3*a^(1/3)*d^(5/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*d^(1/3))","B"
28,1,16,16,2.499654,"\text{Not used}","int((d*x^3)^n,x)","\frac{x\,{\left(d\,x^3\right)}^n}{3\,n+1}","Not used",1,"(x*(d*x^3)^n)/(3*n + 1)","B"
29,1,56,55,2.206496,"\text{Not used}","int((c*x^2 + d*x^3)^n,x)","\frac{x\,{\left(d\,x^3+c\,x^2\right)}^n\,{{}}_2{\mathrm{F}}_1\left(2\,n+1,-n;\ 2\,n+2;\ -\frac{d\,x}{c}\right)}{\left(2\,n+1\right)\,{\left(\frac{d\,x}{c}+1\right)}^n}","Not used",1,"(x*(c*x^2 + d*x^3)^n*hypergeom([2*n + 1, -n], 2*n + 2, -(d*x)/c))/((2*n + 1)*((d*x)/c + 1)^n)","B"
30,1,56,53,2.217001,"\text{Not used}","int((b*x + d*x^3)^n,x)","\frac{x\,{\left(d\,x^3+b\,x\right)}^n\,{{}}_2{\mathrm{F}}_1\left(\frac{n}{2}+\frac{1}{2},-n;\ \frac{n}{2}+\frac{3}{2};\ -\frac{d\,x^2}{b}\right)}{{\left(\frac{d\,x^2}{b}+1\right)}^n\,\left(n+1\right)}","Not used",1,"(x*(b*x + d*x^3)^n*hypergeom([n/2 + 1/2, -n], n/2 + 3/2, -(d*x^2)/b))/(((d*x^2)/b + 1)^n*(n + 1))","B"
31,0,-1,132,0.000000,"\text{Not used}","int((b*x + c*x^2 + d*x^3)^n,x)","\int {\left(d\,x^3+c\,x^2+b\,x\right)}^n \,d x","Not used",1,"int((b*x + c*x^2 + d*x^3)^n, x)","F"
32,1,41,35,2.175864,"\text{Not used}","int((a + d*x^3)^n,x)","\frac{x\,{\left(d\,x^3+a\right)}^n\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},-n;\ \frac{4}{3};\ -\frac{d\,x^3}{a}\right)}{{\left(\frac{d\,x^3}{a}+1\right)}^n}","Not used",1,"(x*(a + d*x^3)^n*hypergeom([1/3, -n], 4/3, -(d*x^3)/a))/((d*x^3)/a + 1)^n","B"
33,1,261,270,2.298322,"\text{Not used}","int((4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3)^4,x)","x^{10}\,\left(\frac{512\,c^7\,d}{5}+256\,a\,c^4\,d^3\right)+x^{13}\,\left(\frac{1120\,c^4\,d^4}{13}+\frac{16\,a\,c\,d^6}{13}\right)+x^9\,\left(\frac{32\,a^2\,c^2\,d^4}{3}+\frac{1280\,a\,c^5\,d^2}{3}+\frac{256\,c^8}{9}\right)+x^{12}\,\left(\frac{448\,c^5\,d^3}{3}+16\,a\,c^2\,d^5\right)+x^{11}\,\left(\frac{1792\,c^6\,d^2}{11}+\frac{960\,a\,c^3\,d^4}{11}\right)+\frac{d^8\,x^{17}}{17}+256\,a^4\,c^4\,x+c\,d^7\,x^{16}+\frac{1024\,a^3\,c^5\,x^3}{3}+32\,c^3\,d^5\,x^{14}+\frac{112\,c^2\,d^6\,x^{15}}{15}+256\,a^3\,c^4\,d\,x^4+512\,a^2\,c^5\,d\,x^6+\frac{256\,a\,c^4\,x^7\,\left(4\,c^3+9\,a\,d^2\right)}{7}+\frac{256\,a^2\,c^3\,x^5\,\left(6\,c^3+a\,d^2\right)}{5}+96\,a\,c^3\,d\,x^8\,\left(4\,c^3+a\,d^2\right)","Not used",1,"x^10*((512*c^7*d)/5 + 256*a*c^4*d^3) + x^13*((1120*c^4*d^4)/13 + (16*a*c*d^6)/13) + x^9*((256*c^8)/9 + (1280*a*c^5*d^2)/3 + (32*a^2*c^2*d^4)/3) + x^12*((448*c^5*d^3)/3 + 16*a*c^2*d^5) + x^11*((1792*c^6*d^2)/11 + (960*a*c^3*d^4)/11) + (d^8*x^17)/17 + 256*a^4*c^4*x + c*d^7*x^16 + (1024*a^3*c^5*x^3)/3 + 32*c^3*d^5*x^14 + (112*c^2*d^6*x^15)/15 + 256*a^3*c^4*d*x^4 + 512*a^2*c^5*d*x^6 + (256*a*c^4*x^7*(9*a*d^2 + 4*c^3))/7 + (256*a^2*c^3*x^5*(a*d^2 + 6*c^3))/5 + 96*a*c^3*d*x^8*(a*d^2 + 4*c^3)","B"
34,1,160,171,2.160001,"\text{Not used}","int((4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3)^3,x)","x^8\,\left(24\,c^5\,d+12\,a\,c^2\,d^3\right)+x^9\,\left(\frac{80\,c^4\,d^2}{3}+\frac{4\,a\,c\,d^4}{3}\right)+\frac{d^6\,x^{13}}{13}+x^7\,\left(\frac{64\,c^6}{7}+\frac{288\,a\,c^3\,d^2}{7}\right)+64\,a^3\,c^3\,x+c\,d^5\,x^{12}+64\,a^2\,c^4\,x^3+16\,c^3\,d^3\,x^{10}+\frac{60\,c^2\,d^4\,x^{11}}{11}+48\,a^2\,c^3\,d\,x^4+\frac{48\,a\,c^2\,x^5\,\left(4\,c^3+a\,d^2\right)}{5}+64\,a\,c^4\,d\,x^6","Not used",1,"x^8*(24*c^5*d + 12*a*c^2*d^3) + x^9*((80*c^4*d^2)/3 + (4*a*c*d^4)/3) + (d^6*x^13)/13 + x^7*((64*c^6)/7 + (288*a*c^3*d^2)/7) + 64*a^3*c^3*x + c*d^5*x^12 + 64*a^2*c^4*x^3 + 16*c^3*d^3*x^10 + (60*c^2*d^4*x^11)/11 + 48*a^2*c^3*d*x^4 + (48*a*c^2*x^5*(a*d^2 + 4*c^3))/5 + 64*a*c^4*d*x^6","B"
35,1,82,92,0.036298,"\text{Not used}","int((4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3)^2,x)","x^5\,\left(\frac{16\,c^4}{5}+\frac{8\,a\,c\,d^2}{5}\right)+\frac{d^4\,x^9}{9}+16\,a^2\,c^2\,x+\frac{32\,a\,c^3\,x^3}{3}+\frac{16\,c^3\,d\,x^6}{3}+c\,d^3\,x^8+\frac{24\,c^2\,d^2\,x^7}{7}+8\,a\,c^2\,d\,x^4","Not used",1,"x^5*((16*c^4)/5 + (8*a*c*d^2)/5) + (d^4*x^9)/9 + 16*a^2*c^2*x + (32*a*c^3*x^3)/3 + (16*c^3*d*x^6)/3 + c*d^3*x^8 + (24*c^2*d^2*x^7)/7 + 8*a*c^2*d*x^4","B"
36,1,28,32,0.036995,"\text{Not used}","int(4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3,x)","\frac{4\,c^2\,x^3}{3}+c\,d\,x^4+4\,a\,c\,x+\frac{d^2\,x^5}{5}","Not used",1,"(4*c^2*x^3)/3 + (d^2*x^5)/5 + 4*a*c*x + c*d*x^4","B"
37,1,1551,529,4.540787,"\text{Not used}","int(1/(4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3),x)","\mathrm{atan}\left(\frac{\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}-64\,a\,c\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)\,1{}\mathrm{i}+\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+64\,a\,c\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)\,1{}\mathrm{i}}{\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}-64\,a\,c\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)-\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+64\,a\,c\,d^6\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)}\right)\,\sqrt{-\frac{2\,d\,\sqrt{-a^3\,c^3}+a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}-64\,a\,c\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)\,1{}\mathrm{i}+\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+64\,a\,c\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)\,1{}\mathrm{i}}{\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}-64\,a\,c\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)-\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,\left(\left(\left(256\,a\,c^4\,d^5+256\,a\,x\,c^3\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+64\,a\,c\,d^6\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}+4\,c\,d^5+4\,d^6\,x\right)}\right)\,\sqrt{\frac{2\,d\,\sqrt{-a^3\,c^3}-a\,c^3}{64\,\left(4\,a^3\,c^3\,d^2+a^2\,c^6\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) - 64*a*c*d^6)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)*1i + (-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 64*a*c*d^6)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)*1i)/((-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) - 64*a*c*d^6)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x) - (-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 64*a*c*d^6)*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)))*(-(2*d*(-a^3*c^3)^(1/2) + a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*2i + atan((((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) - 64*a*c*d^6)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)*1i + ((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 64*a*c*d^6)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)*1i)/(((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) - 64*a*c*d^6)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x) - ((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*(((256*a*c^4*d^5 + 256*a*c^3*d^6*x)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 64*a*c*d^6)*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2) + 4*c*d^5 + 4*d^6*x)))*((2*d*(-a^3*c^3)^(1/2) - a*c^3)/(64*(a^2*c^6 + 4*a^3*c^3*d^2)))^(1/2)*2i","B"
38,1,5844,746,4.303618,"\text{Not used}","int(1/(4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3)^2,x)","\frac{\frac{d}{4\,\left(c^3+4\,a\,d^2\right)}+\frac{d^2\,x^3}{16\,a\,\left(c^3+4\,a\,d^2\right)}+\frac{x\,\left(c^3+2\,a\,d^2\right)}{8\,a\,c\,\left(c^3+4\,a\,d^2\right)}+\frac{3\,c\,d\,x^2}{16\,a\,\left(c^3+4\,a\,d^2\right)}}{4\,c^2\,x^2+4\,c\,d\,x^3+4\,a\,c+d^2\,x^4}-\mathrm{atan}\left(\frac{\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}-\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,1{}\mathrm{i}+\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,1{}\mathrm{i}}{\frac{c^3\,d^6+9\,a\,d^8}{512\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}-\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}-\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)+\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}-10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4-72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}-\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,1{}\mathrm{i}+\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,1{}\mathrm{i}}{\frac{c^3\,d^6+9\,a\,d^8}{512\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}-\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}-\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)+\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,\left(\left(\left(\frac{4194304\,a^6\,c^6\,d^9+2097152\,a^5\,c^9\,d^7+262144\,a^4\,c^{12}\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(65536\,a^5\,c^5\,d^{10}+32768\,a^4\,c^8\,d^8+4096\,a^3\,c^{11}\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{196608\,a^5\,c^2\,d^{10}+65536\,a^4\,c^5\,d^8+4096\,a^3\,c^8\,d^6}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}+\frac{2304\,a^3\,c\,d^9+704\,a^2\,c^4\,d^7+64\,a\,c^7\,d^5}{1024\,\left(16\,a^5\,c^2\,d^4+8\,a^4\,c^5\,d^2+a^3\,c^8\right)}+\frac{x\,\left(36\,a^2\,d^{10}+11\,a\,c^3\,d^8+c^6\,d^6\right)}{16\,\left(16\,a^4\,c^2\,d^4+8\,a^3\,c^5\,d^2+a^2\,c^8\right)}\right)}\right)\,\sqrt{-\frac{a^3\,c^{11}+10\,c^3\,d^3\,\sqrt{-a^9\,c^7}+15\,a^4\,c^8\,d^2+60\,a^5\,c^5\,d^4+72\,a\,d^5\,\sqrt{-a^9\,c^7}}{4096\,\left(64\,a^9\,c^7\,d^6+48\,a^8\,c^{10}\,d^4+12\,a^7\,c^{13}\,d^2+a^6\,c^{16}\right)}}\,2{}\mathrm{i}","Not used",1,"(d/(4*(4*a*d^2 + c^3)) + (d^2*x^3)/(16*a*(4*a*d^2 + c^3)) + (x*(2*a*d^2 + c^3))/(8*a*c*(4*a*d^2 + c^3)) + (3*c*d*x^2)/(16*a*(4*a*d^2 + c^3)))/(4*a*c + 4*c^2*x^2 + d^2*x^4 + 4*c*d*x^3) - atan(((-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) - (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*1i + (-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*1i)/((9*a*d^8 + c^3*d^6)/(512*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) - (-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) - (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4))) + (-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))))*(-(a^3*c^11 + 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 + 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*2i - atan(((-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) - (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*1i + (-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*1i)/((9*a*d^8 + c^3*d^6)/(512*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) - (-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) - (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4))) + (-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*((((262144*a^4*c^12*d^5 + 2097152*a^5*c^9*d^7 + 4194304*a^6*c^6*d^9)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(4096*a^3*c^11*d^6 + 32768*a^4*c^8*d^8 + 65536*a^5*c^5*d^10))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (4096*a^3*c^8*d^6 + 65536*a^4*c^5*d^8 + 196608*a^5*c^2*d^10)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2) + (64*a*c^7*d^5 + 2304*a^3*c*d^9 + 704*a^2*c^4*d^7)/(1024*(a^3*c^8 + 8*a^4*c^5*d^2 + 16*a^5*c^2*d^4)) + (x*(36*a^2*d^10 + c^6*d^6 + 11*a*c^3*d^8))/(16*(a^2*c^8 + 8*a^3*c^5*d^2 + 16*a^4*c^2*d^4)))))*(-(a^3*c^11 - 10*c^3*d^3*(-a^9*c^7)^(1/2) + 15*a^4*c^8*d^2 + 60*a^5*c^5*d^4 - 72*a*d^5*(-a^9*c^7)^(1/2))/(4096*(a^6*c^16 + 12*a^7*c^13*d^2 + 48*a^8*c^10*d^4 + 64*a^9*c^7*d^6)))^(1/2)*2i","B"
39,1,331,295,0.267623,"\text{Not used}","int((8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3)^4,x)","x^5\,\left(\frac{16384\,a^3\,e^9}{5}-\frac{6144\,a^2\,d^4\,e^6}{5}+\frac{d^{12}}{5}\right)+x^{10}\,\left(\frac{384\,d^7\,e^5}{5}+1024\,a\,d^3\,e^8\right)-x^{11}\,\left(\frac{1664\,d^6\,e^6}{11}-\frac{49152\,a\,d^2\,e^9}{11}\right)+\frac{4096\,e^{12}\,x^{17}}{17}+\frac{2048\,e^8\,x^{13}\,\left(8\,a\,e^3-d^4\right)}{13}+\frac{128\,e^4\,x^9\,\left(64\,a^2\,e^6-32\,a\,d^4\,e^3+d^8\right)}{3}+4096\,a^4\,e^8\,x+1024\,d\,e^{11}\,x^{16}+1024\,d^3\,e^9\,x^{14}+\frac{8192\,d^2\,e^{10}\,x^{15}}{5}+512\,d\,e^7\,x^{12}\,\left(8\,a\,e^3-d^4\right)+\frac{32\,d^2\,e^2\,x^7\,\left(768\,a^2\,e^6+24\,a\,d^4\,e^3-d^8\right)}{7}-1024\,a^3\,d^3\,e^6\,x^2+128\,a^2\,d^6\,e^4\,x^3-4\,d\,e^3\,x^8\,\left(-1536\,a^2\,e^6+192\,a\,d^4\,e^3+d^8\right)-128\,a\,d^3\,e^4\,x^6\,\left(8\,a\,e^3-d^4\right)-8\,a\,d\,e^2\,x^4\,\left(d^8-512\,a^2\,e^6\right)","Not used",1,"x^5*(d^12/5 + (16384*a^3*e^9)/5 - (6144*a^2*d^4*e^6)/5) + x^10*((384*d^7*e^5)/5 + 1024*a*d^3*e^8) - x^11*((1664*d^6*e^6)/11 - (49152*a*d^2*e^9)/11) + (4096*e^12*x^17)/17 + (2048*e^8*x^13*(8*a*e^3 - d^4))/13 + (128*e^4*x^9*(d^8 + 64*a^2*e^6 - 32*a*d^4*e^3))/3 + 4096*a^4*e^8*x + 1024*d*e^11*x^16 + 1024*d^3*e^9*x^14 + (8192*d^2*e^10*x^15)/5 + 512*d*e^7*x^12*(8*a*e^3 - d^4) + (32*d^2*e^2*x^7*(768*a^2*e^6 - d^8 + 24*a*d^4*e^3))/7 - 1024*a^3*d^3*e^6*x^2 + 128*a^2*d^6*e^4*x^3 - 4*d*e^3*x^8*(d^8 - 1536*a^2*e^6 + 192*a*d^4*e^3) - 128*a*d^3*e^4*x^6*(8*a*e^3 - d^4) - 8*a*d*e^2*x^4*(d^8 - 512*a^2*e^6)","B"
40,1,201,203,2.242534,"\text{Not used}","int((8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3)^3,x)","\frac{512\,e^9\,x^{13}}{13}-x^4\,\left(\frac{d^9}{4}-384\,a^2\,d\,e^6\right)+\frac{128\,e^5\,x^9\,\left(4\,a\,e^3-d^4\right)}{3}+512\,a^3\,e^6\,x+128\,d\,e^8\,x^{12}+32\,d^3\,e^6\,x^{10}+\frac{1536\,d^2\,e^7\,x^{11}}{11}+8\,a\,d^6\,e^2\,x^3+\frac{384\,a\,e^4\,x^5\,\left(4\,a\,e^3-d^4\right)}{5}+24\,d\,e^4\,x^8\,\left(16\,a\,e^3-d^4\right)+\frac{24\,d^2\,e^3\,x^7\,\left(d^4+64\,a\,e^3\right)}{7}-96\,a^2\,d^3\,e^4\,x^2-4\,d^3\,e^2\,x^6\,\left(16\,a\,e^3-d^4\right)","Not used",1,"(512*e^9*x^13)/13 - x^4*(d^9/4 - 384*a^2*d*e^6) + (128*e^5*x^9*(4*a*e^3 - d^4))/3 + 512*a^3*e^6*x + 128*d*e^8*x^12 + 32*d^3*e^6*x^10 + (1536*d^2*e^7*x^11)/11 + 8*a*d^6*e^2*x^3 + (384*a*e^4*x^5*(4*a*e^3 - d^4))/5 + 24*d*e^4*x^8*(16*a*e^3 - d^4) + (24*d^2*e^3*x^7*(64*a*e^3 + d^4))/7 - 96*a^2*d^3*e^4*x^2 - 4*d^3*e^2*x^6*(16*a*e^3 - d^4)","B"
41,1,98,107,0.044251,"\text{Not used}","int((8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3)^2,x)","x^5\,\left(\frac{128\,a\,e^5}{5}-\frac{16\,d^4\,e^2}{5}\right)+\frac{d^6\,x^3}{3}+\frac{64\,e^6\,x^9}{9}+64\,a^2\,e^4\,x+16\,d\,e^5\,x^8-\frac{8\,d^3\,e^3\,x^6}{3}+\frac{64\,d^2\,e^4\,x^7}{7}-8\,a\,d^3\,e^2\,x^2+32\,a\,d\,e^4\,x^4","Not used",1,"x^5*((128*a*e^5)/5 - (16*d^4*e^2)/5) + (d^6*x^3)/3 + (64*e^6*x^9)/9 + 64*a^2*e^4*x + 16*d*e^5*x^8 - (8*d^3*e^3*x^6)/3 + (64*d^2*e^4*x^7)/7 - 8*a*d^3*e^2*x^2 + 32*a*d*e^4*x^4","B"
42,1,33,37,0.043285,"\text{Not used}","int(8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3,x)","-\frac{d^3\,x^2}{2}+2\,d\,e^2\,x^4+\frac{8\,e^3\,x^5}{5}+8\,a\,e^2\,x","Not used",1,"(8*e^3*x^5)/5 - (d^3*x^2)/2 + 2*d*e^2*x^4 + 8*a*e^2*x","B"
43,1,1264,153,3.730971,"\text{Not used}","int(1/(8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3),x)","-\mathrm{atan}\left(\frac{d^3\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}\,3{}\mathrm{i}+d^9\,2{}\mathrm{i}-a\,d^5\,e^3\,256{}\mathrm{i}+a^2\,d\,e^6\,8192{}\mathrm{i}+a^2\,e^7\,x\,32768{}\mathrm{i}+d^8\,e\,x\,8{}\mathrm{i}+d^2\,e\,x\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}\,12{}\mathrm{i}-a\,d^4\,e^4\,x\,1024{}\mathrm{i}}{5\,d^{12}\,\sqrt{\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}+3\,d^6-192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}+1048576\,a^3\,e^9\,\sqrt{\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}+3\,d^6-192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}-384\,a\,d^8\,e^3\,\sqrt{\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}+3\,d^6-192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}-12288\,a^2\,d^4\,e^6\,\sqrt{\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}+3\,d^6-192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}}\right)\,\sqrt{\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}+3\,d^6-192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{d^3\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}\,3{}\mathrm{i}-d^9\,2{}\mathrm{i}+a\,d^5\,e^3\,256{}\mathrm{i}-a^2\,d\,e^6\,8192{}\mathrm{i}-a^2\,e^7\,x\,32768{}\mathrm{i}-d^8\,e\,x\,8{}\mathrm{i}+d^2\,e\,x\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}\,12{}\mathrm{i}+a\,d^4\,e^4\,x\,1024{}\mathrm{i}}{5\,d^{12}\,\sqrt{-\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}-3\,d^6+192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}+1048576\,a^3\,e^9\,\sqrt{-\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}-3\,d^6+192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}-384\,a\,d^8\,e^3\,\sqrt{-\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}-3\,d^6+192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}-12288\,a^2\,d^4\,e^6\,\sqrt{-\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}-3\,d^6+192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}}\right)\,\sqrt{-\frac{2\,\sqrt{-262144\,a^3\,e^9+12288\,a^2\,d^4\,e^6-192\,a\,d^8\,e^3+d^{12}}-3\,d^6+192\,a\,d^2\,e^3}{1048576\,a^3\,e^9-12288\,a^2\,d^4\,e^6-384\,a\,d^8\,e^3+5\,d^{12}}}\,2{}\mathrm{i}","Not used",1,"atan((d^3*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2)*3i - d^9*2i + a*d^5*e^3*256i - a^2*d*e^6*8192i - a^2*e^7*x*32768i - d^8*e*x*8i + d^2*e*x*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2)*12i + a*d^4*e^4*x*1024i)/(5*d^12*(-(2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) - 3*d^6 + 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) + 1048576*a^3*e^9*(-(2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) - 3*d^6 + 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) - 384*a*d^8*e^3*(-(2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) - 3*d^6 + 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) - 12288*a^2*d^4*e^6*(-(2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) - 3*d^6 + 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2)))*(-(2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) - 3*d^6 + 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2)*2i - atan((d^3*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2)*3i + d^9*2i - a*d^5*e^3*256i + a^2*d*e^6*8192i + a^2*e^7*x*32768i + d^8*e*x*8i + d^2*e*x*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2)*12i - a*d^4*e^4*x*1024i)/(5*d^12*((2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) + 3*d^6 - 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) + 1048576*a^3*e^9*((2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) + 3*d^6 - 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) - 384*a*d^8*e^3*((2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) + 3*d^6 - 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2) - 12288*a^2*d^4*e^6*((2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) + 3*d^6 - 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2)))*((2*(d^12 - 262144*a^3*e^9 - 192*a*d^8*e^3 + 12288*a^2*d^4*e^6)^(1/2) + 3*d^6 - 192*a*d^2*e^3)/(5*d^12 + 1048576*a^3*e^9 - 384*a*d^8*e^3 - 12288*a^2*d^4*e^6))^(1/2)*2i","B"
44,1,10351,342,7.108709,"\text{Not used}","int(1/(8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3)^2,x)","\frac{\frac{8\,e\,x}{5\,d^4+256\,a\,e^3}-\frac{5\,d^5-128\,a\,d\,e^3}{\left(64\,a\,e^3-d^4\right)\,\left(5\,d^4+256\,a\,e^3\right)}+\frac{72\,d^3\,e^2\,x^2}{\left(64\,a\,e^3-d^4\right)\,\left(5\,d^4+256\,a\,e^3\right)}+\frac{96\,d^2\,e^3\,x^3}{\left(64\,a\,e^3-d^4\right)\,\left(5\,d^4+256\,a\,e^3\right)}}{-d^3\,x+8\,d\,e^2\,x^3+8\,e^3\,x^4+8\,a\,e^2}+\mathrm{atan}\left(\frac{\sqrt{\frac{288\,\left(d^{22}\,e^2+d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-32\,a\,d^{18}\,e^5+22528\,a^2\,d^{14}\,e^8-6160384\,a^3\,d^{10}\,e^{11}+461373440\,a^4\,d^6\,e^{14}-10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\,\left(\left(\frac{1536\,\left(68719476736\,a^5\,e^{24}-2147483648\,a^4\,d^4\,e^{21}-5242880\,a^3\,d^8\,e^{18}+770048\,a^2\,d^{12}\,e^{15}-7936\,a\,d^{16}\,e^{12}+20\,d^{20}\,e^9\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}-\left(\frac{1536\,\left(1099511627776\,a^6\,d^3\,e^{26}-25769803776\,a^5\,d^7\,e^{23}-654311424\,a^4\,d^{11}\,e^{20}+19922944\,a^3\,d^{15}\,e^{17}+24576\,a^2\,d^{19}\,e^{14}-3840\,a\,d^{23}\,e^{11}+25\,d^{27}\,e^8\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\frac{6144\,x\,\left(-17179869184\,a^5\,d^2\,e^{24}+134217728\,a^4\,d^6\,e^{21}+12320768\,a^3\,d^{10}\,e^{18}-118784\,a^2\,d^{14}\,e^{15}-2240\,a\,d^{18}\,e^{12}+25\,d^{22}\,e^9\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)\,\sqrt{\frac{288\,\left(d^{22}\,e^2+d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-32\,a\,d^{18}\,e^5+22528\,a^2\,d^{14}\,e^8-6160384\,a^3\,d^{10}\,e^{11}+461373440\,a^4\,d^6\,e^{14}-10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\right)\,\sqrt{\frac{288\,\left(d^{22}\,e^2+d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-32\,a\,d^{18}\,e^5+22528\,a^2\,d^{14}\,e^8-6160384\,a^3\,d^{10}\,e^{11}+461373440\,a^4\,d^6\,e^{14}-10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}+\frac{1536\,\left(-50331648\,a^3\,d\,e^{19}+196608\,a^2\,d^5\,e^{16}+3072\,a\,d^9\,e^{13}+96\,d^{13}\,e^{10}\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\frac{6144\,x\,\left(786432\,a^2\,e^{17}+9216\,a\,d^4\,e^{14}+96\,d^8\,e^{11}\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)\,1{}\mathrm{i}+\sqrt{\frac{288\,\left(d^{22}\,e^2+d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-32\,a\,d^{18}\,e^5+22528\,a^2\,d^{14}\,e^8-6160384\,a^3\,d^{10}\,e^{11}+461373440\,a^4\,d^6\,e^{14}-10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\,\left(\frac{1536\,\left(-50331648\,a^3\,d\,e^{19}+196608\,a^2\,d^5\,e^{16}+3072\,a\,d^9\,e^{13}+96\,d^{13}\,e^{10}\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}-\left(\frac{1536\,\left(68719476736\,a^5\,e^{24}-2147483648\,a^4\,d^4\,e^{21}-5242880\,a^3\,d^8\,e^{18}+770048\,a^2\,d^{12}\,e^{15}-7936\,a\,d^{16}\,e^{12}+20\,d^{20}\,e^9\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\left(\frac{1536\,\left(1099511627776\,a^6\,d^3\,e^{26}-25769803776\,a^5\,d^7\,e^{23}-654311424\,a^4\,d^{11}\,e^{20}+19922944\,a^3\,d^{15}\,e^{17}+24576\,a^2\,d^{19}\,e^{14}-3840\,a\,d^{23}\,e^{11}+25\,d^{27}\,e^8\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^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e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)\,1{}\mathrm{i}}{\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\,\left(\left(\frac{1536\,\left(68719476736\,a^5\,e^{24}-2147483648\,a^4\,d^4\,e^{21}-5242880\,a^3\,d^8\,e^{18}+770048\,a^2\,d^{12}\,e^{15}-7936\,a\,d^{16}\,e^{12}+20\,d^{20}\,e^9\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}-\left(\frac{1536\,\left(1099511627776\,a^6\,d^3\,e^{26}-25769803776\,a^5\,d^7\,e^{23}-654311424\,a^4\,d^{11}\,e^{20}+19922944\,a^3\,d^{15}\,e^{17}+24576\,a^2\,d^{19}\,e^{14}-3840\,a\,d^{23}\,e^{11}+25\,d^{27}\,e^8\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\frac{6144\,x\,\left(-17179869184\,a^5\,d^2\,e^{24}+134217728\,a^4\,d^6\,e^{21}+12320768\,a^3\,d^{10}\,e^{18}-118784\,a^2\,d^{14}\,e^{15}-2240\,a\,d^{18}\,e^{12}+25\,d^{22}\,e^9\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)\,\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\right)\,\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}+\frac{1536\,\left(-50331648\,a^3\,d\,e^{19}+196608\,a^2\,d^5\,e^{16}+3072\,a\,d^9\,e^{13}+96\,d^{13}\,e^{10}\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\frac{6144\,x\,\left(786432\,a^2\,e^{17}+9216\,a\,d^4\,e^{14}+96\,d^8\,e^{11}\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)-\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\,\left(\frac{1536\,\left(-50331648\,a^3\,d\,e^{19}+196608\,a^2\,d^5\,e^{16}+3072\,a\,d^9\,e^{13}+96\,d^{13}\,e^{10}\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}-\left(\frac{1536\,\left(68719476736\,a^5\,e^{24}-2147483648\,a^4\,d^4\,e^{21}-5242880\,a^3\,d^8\,e^{18}+770048\,a^2\,d^{12}\,e^{15}-7936\,a\,d^{16}\,e^{12}+20\,d^{20}\,e^9\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\left(\frac{1536\,\left(1099511627776\,a^6\,d^3\,e^{26}-25769803776\,a^5\,d^7\,e^{23}-654311424\,a^4\,d^{11}\,e^{20}+19922944\,a^3\,d^{15}\,e^{17}+24576\,a^2\,d^{19}\,e^{14}-3840\,a\,d^{23}\,e^{11}+25\,d^{27}\,e^8\right)}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}+\frac{6144\,x\,\left(-17179869184\,a^5\,d^2\,e^{24}+134217728\,a^4\,d^6\,e^{21}+12320768\,a^3\,d^{10}\,e^{18}-118784\,a^2\,d^{14}\,e^{15}-2240\,a\,d^{18}\,e^{12}+25\,d^{22}\,e^9\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)\,\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\right)\,\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}+\frac{6144\,x\,\left(786432\,a^2\,e^{17}+9216\,a\,d^4\,e^{14}+96\,d^8\,e^{11}\right)}{268435456\,a^4\,e^{12}+2097152\,a^3\,d^4\,e^9-159744\,a^2\,d^8\,e^6-640\,a\,d^{12}\,e^3+25\,d^{16}}\right)+\frac{113246208\,a\,d^2\,e^{14}}{-17179869184\,a^5\,e^{15}+134217728\,a^4\,d^4\,e^{12}+12320768\,a^3\,d^8\,e^9-118784\,a^2\,d^{12}\,e^6-2240\,a\,d^{16}\,e^3+25\,d^{20}}}\right)\,\sqrt{-\frac{288\,\left(d^4\,e^2\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}-d^{22}\,e^2+32\,a\,d^{18}\,e^5-22528\,a^2\,d^{14}\,e^8+6160384\,a^3\,d^{10}\,e^{11}-461373440\,a^4\,d^6\,e^{14}+10737418240\,a^5\,d^2\,e^{17}+256\,a\,e^5\,\sqrt{-{\left(64\,a\,e^3-d^4\right)}^9}\right)}{1152921504606846976\,a^9\,e^{27}-40532396646334464\,a^8\,d^4\,e^{24}-791648371998720\,a^7\,d^8\,e^{21}+44324062494720\,a^6\,d^{12}\,e^{18}-96636764160\,a^5\,d^{16}\,e^{15}-15250489344\,a^4\,d^{20}\,e^{12}+163577856\,a^3\,d^{24}\,e^9+1290240\,a^2\,d^{28}\,e^6-28800\,a\,d^{32}\,e^3+125\,d^{36}}}\,2{}\mathrm{i}","Not used",1,"((8*e*x)/(256*a*e^3 + 5*d^4) - (5*d^5 - 128*a*d*e^3)/((64*a*e^3 - d^4)*(256*a*e^3 + 5*d^4)) + (72*d^3*e^2*x^2)/((64*a*e^3 - d^4)*(256*a*e^3 + 5*d^4)) + (96*d^2*e^3*x^3)/((64*a*e^3 - d^4)*(256*a*e^3 + 5*d^4)))/(8*a*e^2 - d^3*x + 8*e^3*x^4 + 8*d*e^2*x^3) + atan((((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*(((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*1i + ((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*((1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*1i)/(((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*(((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9)) - ((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*((1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9)) + (113246208*a*d^2*e^14)/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12)))*((288*(d^22*e^2 + d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - 32*a*d^18*e^5 + 22528*a^2*d^14*e^8 - 6160384*a^3*d^10*e^11 + 461373440*a^4*d^6*e^14 - 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*2i + atan(((-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*(((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*1i + (-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*((1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*1i)/((-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*(((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9)) - (-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*((1536*(96*d^13*e^10 + 3072*a*d^9*e^13 - 50331648*a^3*d*e^19 + 196608*a^2*d^5*e^16))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) - ((1536*(68719476736*a^5*e^24 + 20*d^20*e^9 - 7936*a*d^16*e^12 + 770048*a^2*d^12*e^15 - 5242880*a^3*d^8*e^18 - 2147483648*a^4*d^4*e^21))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + ((1536*(25*d^27*e^8 - 3840*a*d^23*e^11 + 24576*a^2*d^19*e^14 + 19922944*a^3*d^15*e^17 - 654311424*a^4*d^11*e^20 - 25769803776*a^5*d^7*e^23 + 1099511627776*a^6*d^3*e^26))/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12) + (6144*x*(25*d^22*e^9 - 2240*a*d^18*e^12 - 118784*a^2*d^14*e^15 + 12320768*a^3*d^10*e^18 + 134217728*a^4*d^6*e^21 - 17179869184*a^5*d^2*e^24))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2) + (6144*x*(786432*a^2*e^17 + 96*d^8*e^11 + 9216*a*d^4*e^14))/(25*d^16 + 268435456*a^4*e^12 - 640*a*d^12*e^3 - 159744*a^2*d^8*e^6 + 2097152*a^3*d^4*e^9)) + (113246208*a*d^2*e^14)/(25*d^20 - 17179869184*a^5*e^15 - 2240*a*d^16*e^3 - 118784*a^2*d^12*e^6 + 12320768*a^3*d^8*e^9 + 134217728*a^4*d^4*e^12)))*(-(288*(d^4*e^2*(-(64*a*e^3 - d^4)^9)^(1/2) - d^22*e^2 + 32*a*d^18*e^5 - 22528*a^2*d^14*e^8 + 6160384*a^3*d^10*e^11 - 461373440*a^4*d^6*e^14 + 10737418240*a^5*d^2*e^17 + 256*a*e^5*(-(64*a*e^3 - d^4)^9)^(1/2)))/(125*d^36 + 1152921504606846976*a^9*e^27 - 28800*a*d^32*e^3 + 1290240*a^2*d^28*e^6 + 163577856*a^3*d^24*e^9 - 15250489344*a^4*d^20*e^12 - 96636764160*a^5*d^16*e^15 + 44324062494720*a^6*d^12*e^18 - 791648371998720*a^7*d^8*e^21 - 40532396646334464*a^8*d^4*e^24))^(1/2)*2i","B"
45,1,84,96,0.185019,"\text{Not used}","int((8*x - x^3 + 8*x^4 + 8)^4,x)","\frac{4096\,x^{17}}{17}-128\,x^{16}+\frac{128\,x^{15}}{5}+1168\,x^{14}+\frac{10241\,x^{13}}{13}-448\,x^{12}+\frac{25312\,x^{11}}{11}+\frac{21488\,x^{10}}{5}+1408\,x^9+1376\,x^8+6784\,x^7+7168\,x^6+\frac{14336\,x^5}{5}+3584\,x^4+8192\,x^3+8192\,x^2+4096\,x","Not used",1,"4096*x + 8192*x^2 + 8192*x^3 + 3584*x^4 + (14336*x^5)/5 + 7168*x^6 + 6784*x^7 + 1376*x^8 + 1408*x^9 + (21488*x^10)/5 + (25312*x^11)/11 - 448*x^12 + (10241*x^13)/13 + 1168*x^14 + (128*x^15)/5 - 128*x^16 + (4096*x^17)/17","B"
46,1,64,74,0.076263,"\text{Not used}","int((8*x - x^3 + 8*x^4 + 8)^3,x)","\frac{512\,x^{13}}{13}-16\,x^{12}+\frac{24\,x^{11}}{11}+\frac{307\,x^{10}}{2}+128\,x^9-45\,x^8+\frac{1560\,x^7}{7}+480\,x^6+\frac{1152\,x^5}{5}+80\,x^4+512\,x^3+768\,x^2+512\,x","Not used",1,"512*x + 768*x^2 + 512*x^3 + 80*x^4 + (1152*x^5)/5 + 480*x^6 + (1560*x^7)/7 - 45*x^8 + 128*x^9 + (307*x^10)/2 + (24*x^11)/11 - 16*x^12 + (512*x^13)/13","B"
47,1,44,54,0.032133,"\text{Not used}","int((8*x - x^3 + 8*x^4 + 8)^2,x)","\frac{64\,x^9}{9}-2\,x^8+\frac{x^7}{7}+\frac{64\,x^6}{3}+\frac{112\,x^5}{5}-4\,x^4+\frac{64\,x^3}{3}+64\,x^2+64\,x","Not used",1,"64*x + 64*x^2 + (64*x^3)/3 - 4*x^4 + (112*x^5)/5 + (64*x^6)/3 + x^7/7 - 2*x^8 + (64*x^9)/9","B"
48,1,19,23,0.030753,"\text{Not used}","int(8*x - x^3 + 8*x^4 + 8,x)","\frac{8\,x^5}{5}-\frac{x^4}{4}+4\,x^2+8\,x","Not used",1,"8*x + 4*x^2 - x^4/4 + (8*x^5)/5","B"
49,1,123,268,2.445060,"\text{Not used}","int(1/(8*x - x^3 + 8*x^4 + 8),x)","\sum _{k=1}^4\ln\left(-\frac{\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)\,\left(8064\,\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)+256\,x+\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)\,x\,12285+{\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)}^2\,x\,148176+198072\,{\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)}^2-8\right)}{4096}\right)\,\mathrm{root}\left(z^4+\frac{7\,z^2}{6264}+\frac{65\,z}{1052352}+\frac{1}{1035909},z,k\right)","Not used",1,"symsum(log(-(root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k)*(8064*root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k) + 256*x + 12285*root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k)*x + 148176*root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k)^2*x + 198072*root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k)^2 - 8))/4096)*root(z^4 + (7*z^2)/6264 + (65*z)/1052352 + 1/1035909, z, k), k, 1, 4)","B"
50,1,176,357,0.207112,"\text{Not used}","int(1/(8*x - x^3 + 8*x^4 + 8)^2,x)","\left(\sum _{k=1}^4\ln\left(\frac{2615257\,\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)}{72918171648}+\frac{4225\,x}{40375589184}-\frac{\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)\,x\,34885379}{72918171648}-\frac{{\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)}^2\,x\,191555}{475136}-\frac{{\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)}^3\,x\,9261}{256}-\frac{11205\,{\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)}^2}{59392}-\frac{24759\,{\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)}^3}{512}+\frac{10901}{107668237824}\right)\,\mathrm{root}\left(z^4+\frac{6630191\,z^2}{167270298048}+\frac{77351105\,z}{674433841729536}+\frac{1114096}{13723971258377709},z,k\right)\right)+\frac{\frac{7\,x^3}{3132}-\frac{191\,x^2}{58464}+\frac{57\,x}{12992}+\frac{17}{10962}}{x^4-\frac{x^3}{8}+x+1}","Not used",1,"symsum(log((2615257*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k))/72918171648 + (4225*x)/40375589184 - (34885379*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k)*x)/72918171648 - (191555*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k)^2*x)/475136 - (9261*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k)^3*x)/256 - (11205*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k)^2)/59392 - (24759*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k)^3)/512 + 10901/107668237824)*root(z^4 + (6630191*z^2)/167270298048 + (77351105*z)/674433841729536 + 1114096/13723971258377709, z, k), k, 1, 4) + ((57*x)/12992 - (191*x^2)/58464 + (7*x^3)/3132 + 17/10962)/(x - x^3/8 + x^4 + 1)","B"
51,1,77,97,0.150082,"\text{Not used}","int((4*x + 4*x^2 + 4*x^4 + 1)^4,x)","\frac{256\,x^{17}}{17}+\frac{1024\,x^{15}}{15}+\frac{512\,x^{14}}{7}+\frac{1792\,x^{13}}{13}+256\,x^{12}+\frac{3328\,x^{11}}{11}+384\,x^{10}+\frac{4192\,x^9}{9}+448\,x^8+\frac{2752\,x^7}{7}+\frac{992\,x^6}{3}+\frac{1136\,x^5}{5}+112\,x^4+\frac{112\,x^3}{3}+8\,x^2+x","Not used",1,"x + 8*x^2 + (112*x^3)/3 + 112*x^4 + (1136*x^5)/5 + (992*x^6)/3 + (2752*x^7)/7 + 448*x^8 + (4192*x^9)/9 + 384*x^10 + (3328*x^11)/11 + 256*x^12 + (1792*x^13)/13 + (512*x^14)/7 + (1024*x^15)/15 + (256*x^17)/17","B"
52,1,57,69,0.063430,"\text{Not used}","int((4*x + 4*x^2 + 4*x^4 + 1)^3,x)","\frac{64\,x^{13}}{13}+\frac{192\,x^{11}}{11}+\frac{96\,x^{10}}{5}+\frac{80\,x^9}{3}+48\,x^8+\frac{352\,x^7}{7}+48\,x^6+\frac{252\,x^5}{5}+40\,x^4+20\,x^3+6\,x^2+x","Not used",1,"x + 6*x^2 + 20*x^3 + 40*x^4 + (252*x^5)/5 + 48*x^6 + (352*x^7)/7 + 48*x^8 + (80*x^9)/3 + (96*x^10)/5 + (192*x^11)/11 + (64*x^13)/13","B"
53,1,37,45,0.026457,"\text{Not used}","int((4*x + 4*x^2 + 4*x^4 + 1)^2,x)","\frac{16\,x^9}{9}+\frac{32\,x^7}{7}+\frac{16\,x^6}{3}+\frac{24\,x^5}{5}+8\,x^4+8\,x^3+4\,x^2+x","Not used",1,"x + 4*x^2 + 8*x^3 + 8*x^4 + (24*x^5)/5 + (16*x^6)/3 + (32*x^7)/7 + (16*x^9)/9","B"
54,1,17,21,0.027908,"\text{Not used}","int(4*x + 4*x^2 + 4*x^4 + 1,x)","\frac{4\,x^5}{5}+\frac{4\,x^3}{3}+2\,x^2+x","Not used",1,"x + 2*x^2 + (4*x^3)/3 + (4*x^5)/5","B"
55,1,87,234,2.358516,"\text{Not used}","int(1/(4*x + 4*x^2 + 4*x^4 + 1),x)","\sum _{k=1}^4\ln\left(-\mathrm{root}\left(z^4+\frac{9\,z^2}{40}+\frac{z}{40}+\frac{1}{1280},z,k\right)\,\left(\frac{x}{4}+\mathrm{root}\left(z^4+\frac{9\,z^2}{40}+\frac{z}{40}+\frac{1}{1280},z,k\right)\,\left(6\,x+\mathrm{root}\left(z^4+\frac{9\,z^2}{40}+\frac{z}{40}+\frac{1}{1280},z,k\right)\,\left(36\,x+16\right)\right)\right)\right)\,\mathrm{root}\left(z^4+\frac{9\,z^2}{40}+\frac{z}{40}+\frac{1}{1280},z,k\right)","Not used",1,"symsum(log(-root(z^4 + (9*z^2)/40 + z/40 + 1/1280, z, k)*(x/4 + root(z^4 + (9*z^2)/40 + z/40 + 1/1280, z, k)*(6*x + root(z^4 + (9*z^2)/40 + z/40 + 1/1280, z, k)*(36*x + 16))))*root(z^4 + (9*z^2)/40 + z/40 + 1/1280, z, k), k, 1, 4)","B"
56,1,174,317,2.207362,"\text{Not used}","int(1/(4*x + 4*x^2 + 4*x^4 + 1)^2,x)","\left(\sum _{k=1}^4\ln\left(-\frac{169\,\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)}{100}+\frac{11\,x}{1600}+\frac{\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)\,x\,131}{100}-\frac{{\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)}^2\,x\,72}{5}-{\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)}^3\,x\,36+\frac{59\,{\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)}^2}{20}-16\,{\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)}^3+\frac{27}{1600}\right)\,\mathrm{root}\left(z^4+\frac{3021\,z^2}{1000}-\frac{133\,z}{8000}+\frac{29}{64000},z,k\right)\right)+\frac{\frac{9\,x^3}{20}-\frac{x^2}{5}+\frac{21\,x}{40}+\frac{19}{80}}{x^4+x^2+x+\frac{1}{4}}","Not used",1,"symsum(log((11*x)/1600 - (169*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k))/100 + (131*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k)*x)/100 - (72*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k)^2*x)/5 - 36*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k)^3*x + (59*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k)^2)/20 - 16*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k)^3 + 27/1600)*root(z^4 + (3021*z^2)/1000 - (133*z)/8000 + 29/64000, z, k), k, 1, 4) + ((21*x)/40 - x^2/5 + (9*x^3)/20 + 19/80)/(x + x^2 + x^4 + 1/4)","B"
57,1,84,104,2.229736,"\text{Not used}","int((24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8)^4,x)","\frac{4096\,x^{17}}{17}-1920\,x^{16}+\frac{102784\,x^{15}}{15}-\frac{75504\,x^{14}}{7}-\frac{12095\,x^{13}}{13}+31128\,x^{12}-\frac{331040\,x^{11}}{11}-\frac{169584\,x^{10}}{5}+\frac{641152\,x^9}{9}+36384\,x^8-\frac{566912\,x^7}{7}-30720\,x^6+\frac{538624\,x^5}{5}+139776\,x^4+\frac{237568\,x^3}{3}+24576\,x^2+4096\,x","Not used",1,"4096*x + 24576*x^2 + (237568*x^3)/3 + 139776*x^4 + (538624*x^5)/5 - 30720*x^6 - (566912*x^7)/7 + 36384*x^8 + (641152*x^9)/9 - (169584*x^10)/5 - (331040*x^11)/11 + 31128*x^12 - (12095*x^13)/13 - (75504*x^14)/7 + (102784*x^15)/15 - 1920*x^16 + (4096*x^17)/17","B"
58,1,64,76,0.078382,"\text{Not used}","int((24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8)^3,x)","\frac{512\,x^{13}}{13}-240\,x^{12}+\frac{6936\,x^{11}}{11}-\frac{4527\,x^{10}}{10}-\frac{2936\,x^9}{3}+2097\,x^8+\frac{5528\,x^7}{7}-2976\,x^6-\frac{384\,x^5}{5}+5040\,x^4+5120\,x^3+2304\,x^2+512\,x","Not used",1,"512*x + 2304*x^2 + 5120*x^3 + 5040*x^4 - (384*x^5)/5 - 2976*x^6 + (5528*x^7)/7 + 2097*x^8 - (2936*x^9)/3 - (4527*x^10)/10 + (6936*x^11)/11 - 240*x^12 + (512*x^13)/13","B"
59,1,44,52,0.032759,"\text{Not used}","int((24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8)^2,x)","\frac{64\,x^9}{9}-30\,x^8+\frac{353\,x^7}{7}+24\,x^6-\frac{528\,x^5}{5}+36\,x^4+\frac{704\,x^3}{3}+192\,x^2+64\,x","Not used",1,"64*x + 192*x^2 + (704*x^3)/3 + 36*x^4 - (528*x^5)/5 + 24*x^6 + (353*x^7)/7 - 30*x^8 + (64*x^9)/9","B"
60,1,24,30,0.018561,"\text{Not used}","int(24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8,x)","\frac{8\,x^5}{5}-\frac{15\,x^4}{4}+\frac{8\,x^3}{3}+12\,x^2+8\,x","Not used",1,"8*x + 12*x^2 + (8*x^3)/3 - (15*x^4)/4 + (8*x^5)/5","B"
61,1,123,263,0.411302,"\text{Not used}","int(1/(24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8),x)","\sum _{k=1}^4\ln\left(-\frac{\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)\,\left(2184\,\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)+256\,x+\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)\,x\,38259+{\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)}^2\,x\,1531920+805896\,{\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)}^2-120\right)}{4096}\right)\,\mathrm{root}\left(z^4+\frac{2455\,z^2}{161304}+\frac{109\,z}{430144}+\frac{1}{786357},z,k\right)","Not used",1,"symsum(log(-(root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k)*(2184*root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k) + 256*x + 38259*root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k)*x + 1531920*root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k)^2*x + 805896*root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k)^2 - 120))/4096)*root(z^4 + (2455*z^2)/161304 + (109*z)/430144 + 1/786357, z, k), k, 1, 4)","B"
62,1,181,366,0.205206,"\text{Not used}","int(1/(24*x + 8*x^2 - 15*x^3 + 8*x^4 + 8)^2,x)","\frac{\frac{2455\,x^3}{80652}-\frac{1429\,x^2}{19552}+\frac{89033\,x}{1290432}+\frac{3037}{53768}}{x^4-\frac{15\,x^3}{8}+x^2+3\,x+1}+\left(\sum _{k=1}^4\ln\left(\frac{2146659825\,\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)}{2960381771776}+\frac{2222183\,x}{338246745408}+\frac{\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)\,x\,924124364159}{26643435945984}-\frac{{\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)}^2\,x\,72451101}{8470528}-\frac{{\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)}^3\,x\,95745}{256}+\frac{389551\,{\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)}^2}{264704}-\frac{100737\,{\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)}^3}{512}+\frac{271033}{624455529984}\right)\,\mathrm{root}\left(z^4+\frac{14911625619311\,z^2}{524620702127808}+\frac{39238139261\,z}{3730636104019968}+\frac{43023440}{44204510553294663},z,k\right)\right)","Not used",1,"((89033*x)/1290432 - (1429*x^2)/19552 + (2455*x^3)/80652 + 3037/53768)/(3*x + x^2 - (15*x^3)/8 + x^4 + 1) + symsum(log((2146659825*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k))/2960381771776 + (2222183*x)/338246745408 + (924124364159*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k)*x)/26643435945984 - (72451101*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k)^2*x)/8470528 - (95745*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k)^3*x)/256 + (389551*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k)^2)/264704 - (100737*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k)^3)/512 + 271033/624455529984)*root(z^4 + (14911625619311*z^2)/524620702127808 + (39238139261*z)/3730636104019968 + 43023440/44204510553294663, z, k), k, 1, 4)","B"
63,1,163,14,0.167422,"\text{Not used}","int((a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)^3,x)","a^{15}\,x+\frac{15\,a^{14}\,b\,x^2}{2}+35\,a^{13}\,b^2\,x^3+\frac{455\,a^{12}\,b^3\,x^4}{4}+273\,a^{11}\,b^4\,x^5+\frac{1001\,a^{10}\,b^5\,x^6}{2}+715\,a^9\,b^6\,x^7+\frac{6435\,a^8\,b^7\,x^8}{8}+715\,a^7\,b^8\,x^9+\frac{1001\,a^6\,b^9\,x^{10}}{2}+273\,a^5\,b^{10}\,x^{11}+\frac{455\,a^4\,b^{11}\,x^{12}}{4}+35\,a^3\,b^{12}\,x^{13}+\frac{15\,a^2\,b^{13}\,x^{14}}{2}+a\,b^{14}\,x^{15}+\frac{b^{15}\,x^{16}}{16}","Not used",1,"a^15*x + (b^15*x^16)/16 + (15*a^14*b*x^2)/2 + a*b^14*x^15 + 35*a^13*b^2*x^3 + (455*a^12*b^3*x^4)/4 + 273*a^11*b^4*x^5 + (1001*a^10*b^5*x^6)/2 + 715*a^9*b^6*x^7 + (6435*a^8*b^7*x^8)/8 + 715*a^7*b^8*x^9 + (1001*a^6*b^9*x^10)/2 + 273*a^5*b^10*x^11 + (455*a^4*b^11*x^12)/4 + 35*a^3*b^12*x^13 + (15*a^2*b^13*x^14)/2","B"
64,1,108,14,0.061251,"\text{Not used}","int((a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)^2,x)","a^{10}\,x+5\,a^9\,b\,x^2+15\,a^8\,b^2\,x^3+30\,a^7\,b^3\,x^4+42\,a^6\,b^4\,x^5+42\,a^5\,b^5\,x^6+30\,a^4\,b^6\,x^7+15\,a^3\,b^7\,x^8+5\,a^2\,b^8\,x^9+a\,b^9\,x^{10}+\frac{b^{10}\,x^{11}}{11}","Not used",1,"a^10*x + (b^10*x^11)/11 + 5*a^9*b*x^2 + a*b^9*x^10 + 15*a^8*b^2*x^3 + 30*a^7*b^3*x^4 + 42*a^6*b^4*x^5 + 42*a^5*b^5*x^6 + 30*a^4*b^6*x^7 + 15*a^3*b^7*x^8 + 5*a^2*b^8*x^9","B"
65,1,53,14,0.024156,"\text{Not used}","int(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x,x)","a^5\,x+\frac{5\,a^4\,b\,x^2}{2}+\frac{10\,a^3\,b^2\,x^3}{3}+\frac{5\,a^2\,b^3\,x^4}{2}+a\,b^4\,x^5+\frac{b^5\,x^6}{6}","Not used",1,"a^5*x + (b^5*x^6)/6 + (5*a^4*b*x^2)/2 + a*b^4*x^5 + (10*a^3*b^2*x^3)/3 + (5*a^2*b^3*x^4)/2","B"
66,1,48,14,0.047195,"\text{Not used}","int(1/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x),x)","-\frac{1}{4\,a^4\,b+16\,a^3\,b^2\,x+24\,a^2\,b^3\,x^2+16\,a\,b^4\,x^3+4\,b^5\,x^4}","Not used",1,"-1/(4*a^4*b + 4*b^5*x^4 + 16*a^3*b^2*x + 16*a*b^4*x^3 + 24*a^2*b^3*x^2)","B"
67,1,103,14,2.104987,"\text{Not used}","int(1/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)^2,x)","-\frac{1}{9\,a^9\,b+81\,a^8\,b^2\,x+324\,a^7\,b^3\,x^2+756\,a^6\,b^4\,x^3+1134\,a^5\,b^5\,x^4+1134\,a^4\,b^6\,x^5+756\,a^3\,b^7\,x^6+324\,a^2\,b^8\,x^7+81\,a\,b^9\,x^8+9\,b^{10}\,x^9}","Not used",1,"-1/(9*a^9*b + 9*b^10*x^9 + 81*a^8*b^2*x + 81*a*b^9*x^8 + 324*a^7*b^3*x^2 + 756*a^6*b^4*x^3 + 1134*a^5*b^5*x^4 + 1134*a^4*b^6*x^5 + 756*a^3*b^7*x^6 + 324*a^2*b^8*x^7)","B"
68,1,158,14,3.033407,"\text{Not used}","int(1/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)^3,x)","-\frac{1}{14\,a^{14}\,b+196\,a^{13}\,b^2\,x+1274\,a^{12}\,b^3\,x^2+5096\,a^{11}\,b^4\,x^3+14014\,a^{10}\,b^5\,x^4+28028\,a^9\,b^6\,x^5+42042\,a^8\,b^7\,x^6+48048\,a^7\,b^8\,x^7+42042\,a^6\,b^9\,x^8+28028\,a^5\,b^{10}\,x^9+14014\,a^4\,b^{11}\,x^{10}+5096\,a^3\,b^{12}\,x^{11}+1274\,a^2\,b^{13}\,x^{12}+196\,a\,b^{14}\,x^{13}+14\,b^{15}\,x^{14}}","Not used",1,"-1/(14*a^14*b + 14*b^15*x^14 + 196*a^13*b^2*x + 196*a*b^14*x^13 + 1274*a^12*b^3*x^2 + 5096*a^11*b^4*x^3 + 14014*a^10*b^5*x^4 + 28028*a^9*b^6*x^5 + 42042*a^8*b^7*x^6 + 48048*a^7*b^8*x^7 + 42042*a^6*b^9*x^8 + 28028*a^5*b^10*x^9 + 14014*a^4*b^11*x^10 + 5096*a^3*b^12*x^11 + 1274*a^2*b^13*x^12)","B"
69,1,36,38,2.164528,"\text{Not used}","int(1/(x^2 + x^3 + x^5 + 1),x)","\frac{\ln\left(x+1\right)}{6}-\frac{\ln\left(x^2-x+1\right)}{3}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x + 1)/6 + log(x - 1i)*(1/4 - 1i/4) + log(x + 1i)*(1/4 + 1i/4) - log(x^2 - x + 1)/3","B"
70,1,64,84,2.166480,"\text{Not used}","int((19*x^2 - 32*x^4 + 16*x^6 - 3)^4,x)","\frac{65536\,x^{25}}{25}-\frac{524288\,x^{23}}{23}+\frac{1884160\,x^{21}}{21}-\frac{4014080\,x^{19}}{19}+\frac{5633536\,x^{17}}{17}-\frac{1094656\,x^{15}}{3}+\frac{3764416\,x^{13}}{13}-\frac{1841600\,x^{11}}{11}+\frac{634321\,x^9}{9}-\frac{149700\,x^7}{7}+4590\,x^5-684\,x^3+81\,x","Not used",1,"81*x - 684*x^3 + 4590*x^5 - (149700*x^7)/7 + (634321*x^9)/9 - (1841600*x^11)/11 + (3764416*x^13)/13 - (1094656*x^15)/3 + (5633536*x^17)/17 - (4014080*x^19)/19 + (1884160*x^21)/21 - (524288*x^23)/23 + (65536*x^25)/25","B"
71,1,49,63,0.052991,"\text{Not used}","int(-(19*x^2 - 32*x^4 + 16*x^6 - 3)^3,x)","-\frac{4096\,x^{19}}{19}+\frac{24576\,x^{17}}{17}-\frac{21248\,x^{15}}{5}+\frac{93440\,x^{13}}{13}-\frac{84912\,x^{11}}{11}+\frac{16448\,x^9}{3}-2605\,x^7+\frac{4113\,x^5}{5}-171\,x^3+27\,x","Not used",1,"27*x - 171*x^3 + (4113*x^5)/5 - 2605*x^7 + (16448*x^9)/3 - (84912*x^11)/11 + (93440*x^13)/13 - (21248*x^15)/5 + (24576*x^17)/17 - (4096*x^19)/19","B"
72,1,34,44,0.024368,"\text{Not used}","int((19*x^2 - 32*x^4 + 16*x^6 - 3)^2,x)","\frac{256\,x^{13}}{13}-\frac{1024\,x^{11}}{11}+\frac{544\,x^9}{3}-\frac{1312\,x^7}{7}+\frac{553\,x^5}{5}-38\,x^3+9\,x","Not used",1,"9*x - 38*x^3 + (553*x^5)/5 - (1312*x^7)/7 + (544*x^9)/3 - (1024*x^11)/11 + (256*x^13)/13","B"
73,1,19,25,0.031725,"\text{Not used}","int(32*x^4 - 19*x^2 - 16*x^6 + 3,x)","-\frac{16\,x^7}{7}+\frac{32\,x^5}{5}-\frac{19\,x^3}{3}+3\,x","Not used",1,"3*x - (19*x^3)/3 + (32*x^5)/5 - (16*x^7)/7","B"
74,1,27,31,0.065613,"\text{Not used}","int(-1/(19*x^2 - 32*x^4 + 16*x^6 - 3),x)","\frac{\mathrm{atanh}\left(\frac{x}{4608\,\left(\frac{x^2}{6912}+\frac{1}{13824}\right)}\right)}{3}-\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,x}{3}\right)}{3}","Not used",1,"atanh(x/(4608*(x^2/6912 + 1/13824)))/3 - (3^(1/2)*atanh((2*3^(1/2)*x)/3))/3","B"
75,1,64,89,0.084230,"\text{Not used}","int(1/(19*x^2 - 32*x^4 + 16*x^6 - 3)^2,x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,67{}\mathrm{i}}{54}+\frac{\mathrm{atan}\left(x\,2{}\mathrm{i}\right)\,7{}\mathrm{i}}{27}-\frac{\frac{5\,x^5}{18}-\frac{13\,x^3}{36}+\frac{3\,x}{32}}{x^6-2\,x^4+\frac{19\,x^2}{16}-\frac{3}{16}}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x\,2{}\mathrm{i}}{3}\right)\,5{}\mathrm{i}}{9}","Not used",1,"(atan(x*2i)*7i)/27 - (atan(x*1i)*67i)/54 - ((3*x)/32 - (13*x^3)/36 + (5*x^5)/18)/((19*x^2)/16 - 2*x^4 + x^6 - 3/16) + (3^(1/2)*atan((3^(1/2)*x*2i)/3)*5i)/9","B"
76,1,93,161,0.088796,"\text{Not used}","int(-1/(19*x^2 - 32*x^4 + 16*x^6 - 3)^3,x)","\frac{-\frac{143\,x^{11}}{216}+\frac{145\,x^9}{72}-\frac{145\,x^7}{64}+\frac{995\,x^5}{864}-\frac{4777\,x^3}{18432}+\frac{133\,x}{6144}}{x^{12}-4\,x^{10}+\frac{51\,x^8}{8}-\frac{41\,x^6}{8}+\frac{553\,x^4}{256}-\frac{57\,x^2}{128}+\frac{9}{256}}-\frac{\mathrm{atan}\left(x\,2{}\mathrm{i}\right)\,67{}\mathrm{i}}{162}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,3913{}\mathrm{i}}{648}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x\,2{}\mathrm{i}}{3}\right)\,67{}\mathrm{i}}{18}","Not used",1,"((133*x)/6144 - (4777*x^3)/18432 + (995*x^5)/864 - (145*x^7)/64 + (145*x^9)/72 - (143*x^11)/216)/((553*x^4)/256 - (57*x^2)/128 - (41*x^6)/8 + (51*x^8)/8 - 4*x^10 + x^12 + 9/256) - (atan(x*2i)*67i)/162 - (atan(x*1i)*3913i)/648 + (3^(1/2)*atan((3^(1/2)*x*2i)/3)*67i)/18","B"
77,1,126,91,2.184490,"\text{Not used}","int(1/(7*x^2 - 7*x^4 + x^6 - 1)^2,x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{32}-\frac{\frac{21\,x^5}{128}-\frac{35\,x^3}{32}+\frac{103\,x}{128}}{x^6-7\,x^4+7\,x^2-1}-\mathrm{atan}\left(\frac{x\,940311{}\mathrm{i}}{134217728\,\left(\frac{275445\,\sqrt{2}}{134217728}-\frac{389421}{134217728}\right)}-\frac{\sqrt{2}\,x\,332433{}\mathrm{i}}{67108864\,\left(\frac{275445\,\sqrt{2}}{134217728}-\frac{389421}{134217728}\right)}\right)\,\left(\frac{\sqrt{2}\,3{}\mathrm{i}}{512}-\frac{1}{128}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,940311{}\mathrm{i}}{134217728\,\left(\frac{275445\,\sqrt{2}}{134217728}+\frac{389421}{134217728}\right)}+\frac{\sqrt{2}\,x\,332433{}\mathrm{i}}{67108864\,\left(\frac{275445\,\sqrt{2}}{134217728}+\frac{389421}{134217728}\right)}\right)\,\left(\frac{\sqrt{2}\,3{}\mathrm{i}}{512}+\frac{1}{128}{}\mathrm{i}\right)","Not used",1,"- (atan(x*1i)*5i)/32 - ((103*x)/128 - (35*x^3)/32 + (21*x^5)/128)/(7*x^2 - 7*x^4 + x^6 - 1) - atan((x*940311i)/(134217728*((275445*2^(1/2))/134217728 - 389421/134217728)) - (2^(1/2)*x*332433i)/(67108864*((275445*2^(1/2))/134217728 - 389421/134217728)))*((2^(1/2)*3i)/512 - 1i/128) - atan((x*940311i)/(134217728*((275445*2^(1/2))/134217728 + 389421/134217728)) + (2^(1/2)*x*332433i)/(67108864*((275445*2^(1/2))/134217728 + 389421/134217728)))*((2^(1/2)*3i)/512 + 1i/128)","B"
78,1,87,78,2.268742,"\text{Not used}","int(x^3/(c + (a + b*x)^2),x)","\frac{x^2}{2\,b^2}-\frac{2\,a\,x}{b^3}-\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+c\right)\,\left(4\,b^4\,c^2-12\,a^2\,b^4\,c\right)}{8\,b^8\,c}+\frac{a\,\mathrm{atan}\left(\frac{a+b\,x}{\sqrt{c}}\right)\,\left(3\,c-a^2\right)}{b^4\,\sqrt{c}}","Not used",1,"x^2/(2*b^2) - (2*a*x)/b^3 - (log(c + a^2 + b^2*x^2 + 2*a*b*x)*(4*b^4*c^2 - 12*a^2*b^4*c))/(8*b^8*c) + (a*atan((a + b*x)/c^(1/2))*(3*c - a^2))/(b^4*c^(1/2))","B"
79,1,206,50,0.090462,"\text{Not used}","int(x^2/(c + (a + b*x)^2),x)","\frac{x}{b^2}-\frac{a\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+c\right)}{b^3}+\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{a^3}{\sqrt{c}\,\left(c-a^2\right)}-\frac{\sqrt{c}\,x}{\frac{c}{b}-\frac{a^2}{b}}-\frac{a\,\sqrt{c}}{c-a^2}+\frac{a^2\,x}{\sqrt{c}\,\left(\frac{c}{b}-\frac{a^2}{b}\right)}\right)}{b^3}-\frac{a^2\,\mathrm{atan}\left(\frac{a^3}{\sqrt{c}\,\left(c-a^2\right)}-\frac{\sqrt{c}\,x}{\frac{c}{b}-\frac{a^2}{b}}-\frac{a\,\sqrt{c}}{c-a^2}+\frac{a^2\,x}{\sqrt{c}\,\left(\frac{c}{b}-\frac{a^2}{b}\right)}\right)}{b^3\,\sqrt{c}}","Not used",1,"x/b^2 - (a*log(c + a^2 + b^2*x^2 + 2*a*b*x))/b^3 + (c^(1/2)*atan(a^3/(c^(1/2)*(c - a^2)) - (c^(1/2)*x)/(c/b - a^2/b) - (a*c^(1/2))/(c - a^2) + (a^2*x)/(c^(1/2)*(c/b - a^2/b))))/b^3 - (a^2*atan(a^3/(c^(1/2)*(c - a^2)) - (c^(1/2)*x)/(c/b - a^2/b) - (a*c^(1/2))/(c - a^2) + (a^2*x)/(c^(1/2)*(c/b - a^2/b))))/(b^3*c^(1/2))","B"
80,1,46,41,2.076405,"\text{Not used}","int(x/(c + (a + b*x)^2),x)","\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+c\right)}{2\,b^2}-\frac{a\,\mathrm{atan}\left(\frac{a}{\sqrt{c}}+\frac{b\,x}{\sqrt{c}}\right)}{b^2\,\sqrt{c}}","Not used",1,"log(c + a^2 + b^2*x^2 + 2*a*b*x)/(2*b^2) - (a*atan(a/c^(1/2) + (b*x)/c^(1/2)))/(b^2*c^(1/2))","B"
81,1,17,21,0.042545,"\text{Not used}","int(1/(c + (a + b*x)^2),x)","\frac{\mathrm{atan}\left(\frac{a+b\,x}{\sqrt{c}}\right)}{b\,\sqrt{c}}","Not used",1,"atan((a + b*x)/c^(1/2))/(b*c^(1/2))","B"
82,1,173,59,2.588106,"\text{Not used}","int(1/(x*(c + (a + b*x)^2)),x)","\frac{\ln\left(x\right)}{a^2+c}-\frac{\ln\left(2\,a\,b^3+3\,b^4\,x+\frac{b^3\,\left(c+a\,\sqrt{-c}\right)\,\left(a^3+b\,x\,a^2+c\,a-3\,b\,c\,x\right)}{c\,\left(a^2+c\right)}\right)\,\left(c+a\,\sqrt{-c}\right)}{2\,\left(a^2\,c+c^2\right)}-\frac{\ln\left(2\,a\,b^3+3\,b^4\,x+\frac{b^3\,\left(c-a\,\sqrt{-c}\right)\,\left(a^3+b\,x\,a^2+c\,a-3\,b\,c\,x\right)}{c\,\left(a^2+c\right)}\right)\,\left(c-a\,\sqrt{-c}\right)}{2\,\left(a^2\,c+c^2\right)}","Not used",1,"log(x)/(c + a^2) - (log(2*a*b^3 + 3*b^4*x + (b^3*(c + a*(-c)^(1/2))*(a*c + a^3 - 3*b*c*x + a^2*b*x))/(c*(c + a^2)))*(c + a*(-c)^(1/2)))/(2*(a^2*c + c^2)) - (log(2*a*b^3 + 3*b^4*x + (b^3*(c - a*(-c)^(1/2))*(a*c + a^3 - 3*b*c*x + a^2*b*x))/(c*(c + a^2)))*(c - a*(-c)^(1/2)))/(2*(a^2*c + c^2))","B"
83,1,425,79,2.582971,"\text{Not used}","int(1/(x^2*(c + (a + b*x)^2)),x)","\frac{\ln\left({\left(-c\right)}^{13/2}-35\,a^2\,{\left(-c\right)}^{11/2}+34\,a^4\,{\left(-c\right)}^{9/2}+34\,a^6\,{\left(-c\right)}^{7/2}-35\,a^8\,{\left(-c\right)}^{5/2}+a^{10}\,{\left(-c\right)}^{3/2}+a\,c^6-a^{11}\,c+35\,a^3\,c^5+34\,a^5\,c^4-34\,a^7\,c^3-35\,a^9\,c^2+b\,c^6\,x-a^{10}\,b\,c\,x+35\,a^2\,b\,c^5\,x+34\,a^4\,b\,c^4\,x-34\,a^6\,b\,c^3\,x-35\,a^8\,b\,c^2\,x\right)\,\left(b\,{\left(-c\right)}^{3/2}+2\,a\,b\,c+a^2\,b\,\sqrt{-c}\right)}{2\,\left(a^4\,c+2\,a^2\,c^2+c^3\right)}-\frac{1}{x\,\left(a^2+c\right)}-\frac{\ln\left({\left(-c\right)}^{13/2}-35\,a^2\,{\left(-c\right)}^{11/2}+34\,a^4\,{\left(-c\right)}^{9/2}+34\,a^6\,{\left(-c\right)}^{7/2}-35\,a^8\,{\left(-c\right)}^{5/2}+a^{10}\,{\left(-c\right)}^{3/2}-a\,c^6+a^{11}\,c-35\,a^3\,c^5-34\,a^5\,c^4+34\,a^7\,c^3+35\,a^9\,c^2-b\,c^6\,x+a^{10}\,b\,c\,x-35\,a^2\,b\,c^5\,x-34\,a^4\,b\,c^4\,x+34\,a^6\,b\,c^3\,x+35\,a^8\,b\,c^2\,x\right)\,\left(b\,{\left(-c\right)}^{3/2}-2\,a\,b\,c+a^2\,b\,\sqrt{-c}\right)}{2\,\left(a^4\,c+2\,a^2\,c^2+c^3\right)}-\frac{2\,a\,b\,\ln\left(x\right)}{{\left(a^2+c\right)}^2}","Not used",1,"(log((-c)^(13/2) - 35*a^2*(-c)^(11/2) + 34*a^4*(-c)^(9/2) + 34*a^6*(-c)^(7/2) - 35*a^8*(-c)^(5/2) + a^10*(-c)^(3/2) + a*c^6 - a^11*c + 35*a^3*c^5 + 34*a^5*c^4 - 34*a^7*c^3 - 35*a^9*c^2 + b*c^6*x - a^10*b*c*x + 35*a^2*b*c^5*x + 34*a^4*b*c^4*x - 34*a^6*b*c^3*x - 35*a^8*b*c^2*x)*(b*(-c)^(3/2) + 2*a*b*c + a^2*b*(-c)^(1/2)))/(2*(a^4*c + c^3 + 2*a^2*c^2)) - 1/(x*(c + a^2)) - (log((-c)^(13/2) - 35*a^2*(-c)^(11/2) + 34*a^4*(-c)^(9/2) + 34*a^6*(-c)^(7/2) - 35*a^8*(-c)^(5/2) + a^10*(-c)^(3/2) - a*c^6 + a^11*c - 35*a^3*c^5 - 34*a^5*c^4 + 34*a^7*c^3 + 35*a^9*c^2 - b*c^6*x + a^10*b*c*x - 35*a^2*b*c^5*x - 34*a^4*b*c^4*x + 34*a^6*b*c^3*x + 35*a^8*b*c^2*x)*(b*(-c)^(3/2) - 2*a*b*c + a^2*b*(-c)^(1/2)))/(2*(a^4*c + c^3 + 2*a^2*c^2)) - (2*a*b*log(x))/(c + a^2)^2","B"
84,1,573,121,2.771381,"\text{Not used}","int(1/(x^3*(c + (a + b*x)^2)),x)","\ln\left(x\right)\,\left(\frac{3\,b^2}{{\left(a^2+c\right)}^2}-\frac{4\,b^2\,c}{{\left(a^2+c\right)}^3}\right)-\frac{\frac{1}{2\,\left(a^2+c\right)}-\frac{2\,a\,b\,x}{{\left(a^2+c\right)}^2}}{x^2}-\frac{\ln\left(27\,{\left(-c\right)}^{15/2}+90\,a^2\,{\left(-c\right)}^{13/2}+9\,a^4\,{\left(-c\right)}^{11/2}-324\,a^6\,{\left(-c\right)}^{9/2}+125\,a^8\,{\left(-c\right)}^{7/2}+74\,a^{10}\,{\left(-c\right)}^{5/2}-a^{12}\,{\left(-c\right)}^{3/2}-27\,a\,c^7+a^{13}\,c+90\,a^3\,c^6-9\,a^5\,c^5-324\,a^7\,c^4-125\,a^9\,c^3+74\,a^{11}\,c^2-27\,b\,c^7\,x+a^{12}\,b\,c\,x+90\,a^2\,b\,c^6\,x-9\,a^4\,b\,c^5\,x-324\,a^6\,b\,c^4\,x-125\,a^8\,b\,c^3\,x+74\,a^{10}\,b\,c^2\,x\right)\,\left(a^3\,b^2\,\sqrt{-c}-b^2\,c^2+3\,a^2\,b^2\,c+3\,a\,b^2\,{\left(-c\right)}^{3/2}\right)}{2\,\left(a^6\,c+3\,a^4\,c^2+3\,a^2\,c^3+c^4\right)}+\frac{\ln\left(27\,{\left(-c\right)}^{15/2}+90\,a^2\,{\left(-c\right)}^{13/2}+9\,a^4\,{\left(-c\right)}^{11/2}-324\,a^6\,{\left(-c\right)}^{9/2}+125\,a^8\,{\left(-c\right)}^{7/2}+74\,a^{10}\,{\left(-c\right)}^{5/2}-a^{12}\,{\left(-c\right)}^{3/2}+27\,a\,c^7-a^{13}\,c-90\,a^3\,c^6+9\,a^5\,c^5+324\,a^7\,c^4+125\,a^9\,c^3-74\,a^{11}\,c^2+27\,b\,c^7\,x-a^{12}\,b\,c\,x-90\,a^2\,b\,c^6\,x+9\,a^4\,b\,c^5\,x+324\,a^6\,b\,c^4\,x+125\,a^8\,b\,c^3\,x-74\,a^{10}\,b\,c^2\,x\right)\,\left(b^2\,c^2+a^3\,b^2\,\sqrt{-c}-3\,a^2\,b^2\,c+3\,a\,b^2\,{\left(-c\right)}^{3/2}\right)}{2\,\left(a^6\,c+3\,a^4\,c^2+3\,a^2\,c^3+c^4\right)}","Not used",1,"log(x)*((3*b^2)/(c + a^2)^2 - (4*b^2*c)/(c + a^2)^3) - (1/(2*(c + a^2)) - (2*a*b*x)/(c + a^2)^2)/x^2 - (log(27*(-c)^(15/2) + 90*a^2*(-c)^(13/2) + 9*a^4*(-c)^(11/2) - 324*a^6*(-c)^(9/2) + 125*a^8*(-c)^(7/2) + 74*a^10*(-c)^(5/2) - a^12*(-c)^(3/2) - 27*a*c^7 + a^13*c + 90*a^3*c^6 - 9*a^5*c^5 - 324*a^7*c^4 - 125*a^9*c^3 + 74*a^11*c^2 - 27*b*c^7*x + a^12*b*c*x + 90*a^2*b*c^6*x - 9*a^4*b*c^5*x - 324*a^6*b*c^4*x - 125*a^8*b*c^3*x + 74*a^10*b*c^2*x)*(a^3*b^2*(-c)^(1/2) - b^2*c^2 + 3*a^2*b^2*c + 3*a*b^2*(-c)^(3/2)))/(2*(a^6*c + c^4 + 3*a^2*c^3 + 3*a^4*c^2)) + (log(27*(-c)^(15/2) + 90*a^2*(-c)^(13/2) + 9*a^4*(-c)^(11/2) - 324*a^6*(-c)^(9/2) + 125*a^8*(-c)^(7/2) + 74*a^10*(-c)^(5/2) - a^12*(-c)^(3/2) + 27*a*c^7 - a^13*c - 90*a^3*c^6 + 9*a^5*c^5 + 324*a^7*c^4 + 125*a^9*c^3 - 74*a^11*c^2 + 27*b*c^7*x - a^12*b*c*x - 90*a^2*b*c^6*x + 9*a^4*b*c^5*x + 324*a^6*b*c^4*x + 125*a^8*b*c^3*x - 74*a^10*b*c^2*x)*(b^2*c^2 + a^3*b^2*(-c)^(1/2) - 3*a^2*b^2*c + 3*a*b^2*(-c)^(3/2)))/(2*(a^6*c + c^4 + 3*a^2*c^3 + 3*a^4*c^2))","B"
85,1,27,31,0.057455,"\text{Not used}","int(1/(a + b*(c + d*x)^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,c+\sqrt{b}\,d\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}\,d}","Not used",1,"atan((b^(1/2)*c + b^(1/2)*d*x)/a^(1/2))/(a^(1/2)*b^(1/2)*d)","B"
86,1,76,63,0.097506,"\text{Not used}","int(1/(a + b*(c + d*x)^2)^2,x)","\frac{\frac{x}{2\,a}+\frac{c}{2\,a\,d}}{b\,c^2+2\,b\,c\,d\,x+b\,d^2\,x^2+a}+\frac{\mathrm{atan}\left(2\,a\,\left(\frac{\sqrt{b}\,c}{2\,a^{3/2}}+\frac{\sqrt{b}\,d\,x}{2\,a^{3/2}}\right)\right)}{2\,a^{3/2}\,\sqrt{b}\,d}","Not used",1,"(x/(2*a) + c/(2*a*d))/(a + b*c^2 + b*d^2*x^2 + 2*b*c*d*x) + atan(2*a*((b^(1/2)*c)/(2*a^(3/2)) + (b^(1/2)*d*x)/(2*a^(3/2))))/(2*a^(3/2)*b^(1/2)*d)","B"
87,1,181,91,2.220519,"\text{Not used}","int(1/(a + b*(c + d*x)^2)^3,x)","\frac{\frac{x\,\left(9\,b\,c^2+5\,a\right)}{8\,a^2}+\frac{3\,b\,c^3+5\,a\,c}{8\,a^2\,d}+\frac{3\,b\,d^2\,x^3}{8\,a^2}+\frac{9\,b\,c\,d\,x^2}{8\,a^2}}{x^2\,\left(6\,b^2\,c^2\,d^2+2\,a\,b\,d^2\right)+x\,\left(4\,d\,b^2\,c^3+4\,a\,d\,b\,c\right)+a^2+b^2\,c^4+b^2\,d^4\,x^4+2\,a\,b\,c^2+4\,b^2\,c\,d^3\,x^3}+\frac{3\,\mathrm{atan}\left(\frac{8\,a^2\,\left(\frac{3\,\sqrt{b}\,c}{8\,a^{5/2}}+\frac{3\,\sqrt{b}\,d\,x}{8\,a^{5/2}}\right)}{3}\right)}{8\,a^{5/2}\,\sqrt{b}\,d}","Not used",1,"((x*(5*a + 9*b*c^2))/(8*a^2) + (5*a*c + 3*b*c^3)/(8*a^2*d) + (3*b*d^2*x^3)/(8*a^2) + (9*b*c*d*x^2)/(8*a^2))/(x^2*(6*b^2*c^2*d^2 + 2*a*b*d^2) + x*(4*b^2*c^3*d + 4*a*b*c*d) + a^2 + b^2*c^4 + b^2*d^4*x^4 + 2*a*b*c^2 + 4*b^2*c*d^3*x^3) + (3*atan((8*a^2*((3*b^(1/2)*c)/(8*a^(5/2)) + (3*b^(1/2)*d*x)/(8*a^(5/2))))/3))/(8*a^(5/2)*b^(1/2)*d)","B"
88,1,31,35,0.102637,"\text{Not used}","int(1/(b*(c + d*x)^2 + (-a)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,c+\sqrt{b}\,d\,x}{{\left(-a\right)}^{1/4}}\right)}{{\left(-a\right)}^{1/4}\,\sqrt{b}\,d}","Not used",1,"atan((b^(1/2)*c + b^(1/2)*d*x)/(-a)^(1/4))/((-a)^(1/4)*b^(1/2)*d)","B"
89,1,10,10,0.039732,"\text{Not used}","int(1/((c + d*x)^2 + 1),x)","\frac{\mathrm{atan}\left(c+d\,x\right)}{d}","Not used",1,"atan(c + d*x)/d","B"
90,1,42,37,2.065578,"\text{Not used}","int(1/((c + d*x)^2 + 1)^2,x)","\frac{\frac{x}{2}+\frac{c}{2\,d}}{c^2+2\,c\,d\,x+d^2\,x^2+1}+\frac{\mathrm{atan}\left(c+d\,x\right)}{2\,d}","Not used",1,"(x/2 + c/(2*d))/(c^2 + d^2*x^2 + 2*c*d*x + 1) + atan(c + d*x)/(2*d)","B"
91,1,111,60,0.120909,"\text{Not used}","int(1/((c + d*x)^2 + 1)^3,x)","\frac{3\,\mathrm{atan}\left(c+d\,x\right)}{8\,d}+\frac{x\,\left(\frac{9\,c^2}{8}+\frac{5}{8}\right)+\frac{3\,c^3+5\,c}{8\,d}+\frac{3\,d^2\,x^3}{8}+\frac{9\,c\,d\,x^2}{8}}{x^2\,\left(6\,c^2\,d^2+2\,d^2\right)+2\,c^2+c^4+x\,\left(4\,d\,c^3+4\,d\,c\right)+d^4\,x^4+4\,c\,d^3\,x^3+1}","Not used",1,"(3*atan(c + d*x))/(8*d) + (x*((9*c^2)/8 + 5/8) + (5*c + 3*c^3)/(8*d) + (3*d^2*x^3)/8 + (9*c*d*x^2)/8)/(x^2*(2*d^2 + 6*c^2*d^2) + 2*c^2 + c^4 + x*(4*c*d + 4*c^3*d) + d^4*x^4 + 4*c*d^3*x^3 + 1)","B"
92,1,10,10,2.049900,"\text{Not used}","int(-1/((c + d*x)^2 - 1),x)","\frac{\mathrm{atanh}\left(c+d\,x\right)}{d}","Not used",1,"atanh(c + d*x)/d","B"
93,1,43,39,2.064381,"\text{Not used}","int(1/((c + d*x)^2 - 1)^2,x)","\frac{\mathrm{atanh}\left(c+d\,x\right)}{2\,d}-\frac{\frac{x}{2}+\frac{c}{2\,d}}{c^2+2\,c\,d\,x+d^2\,x^2-1}","Not used",1,"atanh(c + d*x)/(2*d) - (x/2 + c/(2*d))/(c^2 + d^2*x^2 + 2*c*d*x - 1)","B"
94,1,114,64,2.118441,"\text{Not used}","int(-1/((c + d*x)^2 - 1)^3,x)","\frac{3\,\mathrm{atanh}\left(c+d\,x\right)}{8\,d}-\frac{x\,\left(\frac{9\,c^2}{8}-\frac{5}{8}\right)-\frac{5\,c-3\,c^3}{8\,d}+\frac{3\,d^2\,x^3}{8}+\frac{9\,c\,d\,x^2}{8}}{c^4-2\,c^2-x^2\,\left(2\,d^2-6\,c^2\,d^2\right)-x\,\left(4\,c\,d-4\,c^3\,d\right)+d^4\,x^4+4\,c\,d^3\,x^3+1}","Not used",1,"(3*atanh(c + d*x))/(8*d) - (x*((9*c^2)/8 - 5/8) - (5*c - 3*c^3)/(8*d) + (3*d^2*x^3)/8 + (9*c*d*x^2)/8)/(c^4 - 2*c^2 - x^2*(2*d^2 - 6*c^2*d^2) - x*(4*c*d - 4*c^3*d) + d^4*x^4 + 4*c*d^3*x^3 + 1)","B"
95,1,4,4,0.149250,"\text{Not used}","int(-1/((x + 1)^2 - 1),x)","\mathrm{atanh}\left(x+1\right)","Not used",1,"atanh(x + 1)","B"
96,1,23,27,0.065666,"\text{Not used}","int(1/((x + 1)^2 - 1)^2,x)","\frac{\mathrm{atanh}\left(x+1\right)}{2}-\frac{x+1}{2\,\left({\left(x+1\right)}^2-1\right)}","Not used",1,"atanh(x + 1)/2 - (x + 1)/(2*((x + 1)^2 - 1))","B"
97,1,36,45,2.090076,"\text{Not used}","int(-1/((x + 1)^2 - 1)^3,x)","\frac{3\,\mathrm{atanh}\left(x+1\right)}{8}+\frac{\frac{5\,x}{8}-\frac{3\,{\left(x+1\right)}^3}{8}+\frac{5}{8}}{{\left(x+1\right)}^4-2\,{\left(x+1\right)}^2+1}","Not used",1,"(3*atanh(x + 1))/8 + ((5*x)/8 - (3*(x + 1)^3)/8 + 5/8)/((x + 1)^4 - 2*(x + 1)^2 + 1)","B"
98,1,55,59,0.050450,"\text{Not used}","int(((a + b*x)^2 + 1)^2/x,x)","\ln\left(x\right)\,\left(a^4+2\,a^2+1\right)+\frac{b^4\,x^4}{4}+\frac{4\,a\,b^3\,x^3}{3}+b^2\,x^2\,\left(3\,a^2+1\right)+4\,a\,b\,x\,\left(a^2+1\right)","Not used",1,"log(x)*(2*a^2 + a^4 + 1) + (b^4*x^4)/4 + (4*a*b^3*x^3)/3 + b^2*x^2*(3*a^2 + 1) + 4*a*b*x*(a^2 + 1)","B"
99,1,11,10,0.032301,"\text{Not used}","int(x^2/((x - 1)^2 + 1),x)","x+\ln\left(x^2-2\,x+2\right)","Not used",1,"x + log(x^2 - 2*x + 2)","B"
100,0,-1,44,0.000000,"\text{Not used}","int(x^2/(1 - (x + 1)^2)^(1/2),x)","\int \frac{x^2}{\sqrt{1-{\left(x+1\right)}^2}} \,d x","Not used",1,"int(x^2/(1 - (x + 1)^2)^(1/2), x)","F"
101,0,-1,67,0.000000,"\text{Not used}","int(x^2/(1 - (a + b*x)^2)^(1/2),x)","\int \frac{x^2}{\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(x^2/(1 - (a + b*x)^2)^(1/2), x)","F"
102,0,-1,63,0.000000,"\text{Not used}","int(x^2/((a + b*x)^2 + 1)^(1/2),x)","\int \frac{x^2}{\sqrt{{\left(a+b\,x\right)}^2+1}} \,d x","Not used",1,"int(x^2/((a + b*x)^2 + 1)^(1/2), x)","F"
103,1,374,234,2.459928,"\text{Not used}","int(x^3/(a + b*(c + d*x)^3),x)","\left(\sum _{k=1}^3\ln\left(\frac{3\,\left(b\,c^5+a\,c^2\right)}{d^2}-\mathrm{root}\left(27\,a^2\,b^4\,d^{12}\,z^3+81\,a^2\,b^3\,c\,d^8\,z^2+54\,a^2\,b^2\,c^2\,d^4\,z-27\,a\,b^3\,c^5\,d^4\,z+3\,a\,b^2\,c^6+3\,a^2\,b\,c^3+b^3\,c^9+a^3,z,k\right)\,\left(\frac{3\,\left(b^2\,c^4\,d^4-5\,a\,b\,c\,d^4\right)}{d^2}+\frac{3\,x\,\left(b^2\,c^3\,d^4+a\,b\,d^4\right)}{d}-\mathrm{root}\left(27\,a^2\,b^4\,d^{12}\,z^3+81\,a^2\,b^3\,c\,d^8\,z^2+54\,a^2\,b^2\,c^2\,d^4\,z-27\,a\,b^3\,c^5\,d^4\,z+3\,a\,b^2\,c^6+3\,a^2\,b\,c^3+b^3\,c^9+a^3,z,k\right)\,a\,b^2\,d^6\,9\right)-\frac{3\,x\,\left(a\,c-2\,b\,c^4\right)}{d}\right)\,\mathrm{root}\left(27\,a^2\,b^4\,d^{12}\,z^3+81\,a^2\,b^3\,c\,d^8\,z^2+54\,a^2\,b^2\,c^2\,d^4\,z-27\,a\,b^3\,c^5\,d^4\,z+3\,a\,b^2\,c^6+3\,a^2\,b\,c^3+b^3\,c^9+a^3,z,k\right)\right)+\frac{x}{b\,d^3}","Not used",1,"symsum(log((3*(a*c^2 + b*c^5))/d^2 - root(27*a^2*b^4*d^12*z^3 + 81*a^2*b^3*c*d^8*z^2 + 54*a^2*b^2*c^2*d^4*z - 27*a*b^3*c^5*d^4*z + 3*a*b^2*c^6 + 3*a^2*b*c^3 + b^3*c^9 + a^3, z, k)*((3*(b^2*c^4*d^4 - 5*a*b*c*d^4))/d^2 + (3*x*(b^2*c^3*d^4 + a*b*d^4))/d - 9*root(27*a^2*b^4*d^12*z^3 + 81*a^2*b^3*c*d^8*z^2 + 54*a^2*b^2*c^2*d^4*z - 27*a*b^3*c^5*d^4*z + 3*a*b^2*c^6 + 3*a^2*b*c^3 + b^3*c^9 + a^3, z, k)*a*b^2*d^6) - (3*x*(a*c - 2*b*c^4))/d)*root(27*a^2*b^4*d^12*z^3 + 81*a^2*b^3*c*d^8*z^2 + 54*a^2*b^2*c^2*d^4*z - 27*a*b^3*c^5*d^4*z + 3*a*b^2*c^6 + 3*a^2*b*c^3 + b^3*c^9 + a^3, z, k), k, 1, 3) + x/(b*d^3)","B"
104,1,437,210,2.300239,"\text{Not used}","int(x^2/(a + b*(c + d*x)^3),x)","\sum _{k=1}^3\ln\left(a+b\,c^3-\mathrm{root}\left(27\,a^2\,b^3\,d^9\,z^3-27\,a^2\,b^2\,d^6\,z^2-18\,a\,b^2\,c^3\,d^3\,z+9\,a^2\,b\,d^3\,z-2\,a\,b\,c^3-b^2\,c^6-a^2,z,k\right)\,a\,b\,d^3\,6+3\,b\,c^2\,d\,x+{\mathrm{root}\left(27\,a^2\,b^3\,d^9\,z^3-27\,a^2\,b^2\,d^6\,z^2-18\,a\,b^2\,c^3\,d^3\,z+9\,a^2\,b\,d^3\,z-2\,a\,b\,c^3-b^2\,c^6-a^2,z,k\right)}^2\,a\,b^2\,d^6\,9+\mathrm{root}\left(27\,a^2\,b^3\,d^9\,z^3-27\,a^2\,b^2\,d^6\,z^2-18\,a\,b^2\,c^3\,d^3\,z+9\,a^2\,b\,d^3\,z-2\,a\,b\,c^3-b^2\,c^6-a^2,z,k\right)\,b^2\,c^3\,d^3\,3+\mathrm{root}\left(27\,a^2\,b^3\,d^9\,z^3-27\,a^2\,b^2\,d^6\,z^2-18\,a\,b^2\,c^3\,d^3\,z+9\,a^2\,b\,d^3\,z-2\,a\,b\,c^3-b^2\,c^6-a^2,z,k\right)\,b^2\,c^2\,d^4\,x\,3\right)\,\mathrm{root}\left(27\,a^2\,b^3\,d^9\,z^3-27\,a^2\,b^2\,d^6\,z^2-18\,a\,b^2\,c^3\,d^3\,z+9\,a^2\,b\,d^3\,z-2\,a\,b\,c^3-b^2\,c^6-a^2,z,k\right)","Not used",1,"symsum(log(a + b*c^3 - 6*root(27*a^2*b^3*d^9*z^3 - 27*a^2*b^2*d^6*z^2 - 18*a*b^2*c^3*d^3*z + 9*a^2*b*d^3*z - 2*a*b*c^3 - b^2*c^6 - a^2, z, k)*a*b*d^3 + 3*b*c^2*d*x + 9*root(27*a^2*b^3*d^9*z^3 - 27*a^2*b^2*d^6*z^2 - 18*a*b^2*c^3*d^3*z + 9*a^2*b*d^3*z - 2*a*b*c^3 - b^2*c^6 - a^2, z, k)^2*a*b^2*d^6 + 3*root(27*a^2*b^3*d^9*z^3 - 27*a^2*b^2*d^6*z^2 - 18*a*b^2*c^3*d^3*z + 9*a^2*b*d^3*z - 2*a*b*c^3 - b^2*c^6 - a^2, z, k)*b^2*c^3*d^3 + 3*root(27*a^2*b^3*d^9*z^3 - 27*a^2*b^2*d^6*z^2 - 18*a*b^2*c^3*d^3*z + 9*a^2*b*d^3*z - 2*a*b*c^3 - b^2*c^6 - a^2, z, k)*b^2*c^2*d^4*x)*root(27*a^2*b^3*d^9*z^3 - 27*a^2*b^2*d^6*z^2 - 18*a*b^2*c^3*d^3*z + 9*a^2*b*d^3*z - 2*a*b*c^3 - b^2*c^6 - a^2, z, k), k, 1, 3)","B"
105,1,145,180,0.256693,"\text{Not used}","int(x/(a + b*(c + d*x)^3),x)","\sum _{k=1}^3\ln\left(-\mathrm{root}\left(27\,a^2\,b^2\,d^6\,z^3-9\,a\,b\,c\,d^2\,z+b\,c^3+a,z,k\right)\,\left(3\,b^2\,c^2\,d^4-\mathrm{root}\left(27\,a^2\,b^2\,d^6\,z^3-9\,a\,b\,c\,d^2\,z+b\,c^3+a,z,k\right)\,a\,b^2\,d^6\,9+3\,b^2\,c\,d^5\,x\right)+b\,d^3\,x\right)\,\mathrm{root}\left(27\,a^2\,b^2\,d^6\,z^3-9\,a\,b\,c\,d^2\,z+b\,c^3+a,z,k\right)","Not used",1,"symsum(log(b*d^3*x - root(27*a^2*b^2*d^6*z^3 - 9*a*b*c*d^2*z + b*c^3 + a, z, k)*(3*b^2*c^2*d^4 - 9*root(27*a^2*b^2*d^6*z^3 - 9*a*b*c*d^2*z + b*c^3 + a, z, k)*a*b^2*d^6 + 3*b^2*c*d^5*x))*root(27*a^2*b^2*d^6*z^3 - 9*a*b*c*d^2*z + b*c^3 + a, z, k), k, 1, 3)","B"
106,1,144,140,2.310883,"\text{Not used}","int(1/(a + b*(c + d*x)^3),x)","\frac{\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,a^{2/3}\,b^{1/3}\,d}+\frac{\ln\left(3\,b^2\,c\,d^5+3\,b^2\,d^6\,x+\frac{3\,a^{1/3}\,b^{5/3}\,d^5\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,d}-\frac{\ln\left(3\,b^2\,c\,d^5+3\,b^2\,d^6\,x-\frac{3\,a^{1/3}\,b^{5/3}\,d^5\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,d}","Not used",1,"log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x)/(3*a^(2/3)*b^(1/3)*d) + (log(3*b^2*c*d^5 + 3*b^2*d^6*x + (3*a^(1/3)*b^(5/3)*d^5*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*b^(1/3)*d) - (log(3*b^2*c*d^5 + 3*b^2*d^6*x - (3*a^(1/3)*b^(5/3)*d^5*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*b^(1/3)*d)","B"
107,1,553,224,0.123415,"\text{Not used}","int(1/(x*(a + b*(c + d*x)^3)),x)","\frac{\ln\left(x\right)}{b\,c^3+a}+\left(\sum _{k=1}^3\ln\left({\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^2\,b^4\,c^4\,d^8\,3-\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)\,b^3\,c\,d^8\,3-\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)\,b^3\,d^9\,x\,4-{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^2\,a\,b^3\,c\,d^8\,6-{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^2\,a\,b^3\,d^9\,x\,24+{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^3\,a^2\,b^3\,c\,d^8\,9+{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^3\,a\,b^4\,c^4\,d^8\,9-{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^3\,a^2\,b^3\,d^9\,x\,36+{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^2\,b^4\,c^3\,d^9\,x\,3+{\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)}^3\,a\,b^4\,c^3\,d^9\,x\,18\right)\,\mathrm{root}\left(27\,a^2\,b\,c^3\,z^3+27\,a^3\,z^3+27\,a^2\,z^2+9\,a\,z+1,z,k\right)\right)","Not used",1,"log(x)/(a + b*c^3) + symsum(log(3*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^2*b^4*c^4*d^8 - 3*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)*b^3*c*d^8 - 4*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)*b^3*d^9*x - 6*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^2*a*b^3*c*d^8 - 24*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^2*a*b^3*d^9*x + 9*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^3*a^2*b^3*c*d^8 + 9*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^3*a*b^4*c^4*d^8 - 36*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^3*a^2*b^3*d^9*x + 3*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^2*b^4*c^3*d^9*x + 18*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k)^3*a*b^4*c^3*d^9*x)*root(27*a^2*b*c^3*z^3 + 27*a^3*z^3 + 27*a^2*z^2 + 9*a*z + 1, z, k), k, 1, 3)","B"
108,1,1588,314,2.329137,"\text{Not used}","int(1/(x^2*(a + b*(c + d*x)^3)),x)","\left(\sum _{k=1}^3\ln\left(\frac{b^4\,d^{12}\,x-{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,a^3\,b^3\,d^9\,3-{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,b^6\,c^9\,d^9\,3-\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)\,b^5\,c^5\,d^{10}\,9+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,a^2\,b^4\,c^3\,d^9\,18+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a^3\,b^4\,c^4\,d^8\,27+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a^2\,b^5\,c^7\,d^8\,27-\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)\,a\,b^4\,c^2\,d^{10}\,9-\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)\,b^5\,c^4\,d^{11}\,x\,9+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a^4\,b^3\,c\,d^8\,9+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,a\,b^5\,c^6\,d^9\,18+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a\,b^6\,c^{10}\,d^8\,9-{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a^4\,b^3\,d^9\,x\,36-{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,b^6\,c^8\,d^{10}\,x\,3+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,a\,b^5\,c^5\,d^{10}\,x\,48+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a\,b^6\,c^9\,d^9\,x\,18-\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)\,a\,b^4\,c\,d^{11}\,x\,18+{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^2\,a^2\,b^4\,c^2\,d^{10}\,x\,51-{\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)}^3\,a^3\,b^4\,c^3\,d^9\,x\,54}{a^2+2\,a\,b\,c^3+b^2\,c^6}\right)\,\mathrm{root}\left(27\,a^2\,b^2\,c^6\,z^3+54\,a^3\,b\,c^3\,z^3+27\,a^4\,z^3-81\,a^2\,b\,c^2\,d\,z^2+18\,a\,b\,c\,d^2\,z-b\,d^3,z,k\right)\right)-\frac{1}{b\,x\,c^3+a\,x}-\frac{3\,b\,c^2\,d\,\ln\left(x\right)}{a^2+2\,a\,b\,c^3+b^2\,c^6}","Not used",1,"symsum(log((b^4*d^12*x - 3*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*a^3*b^3*d^9 - 3*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*b^6*c^9*d^9 - 9*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)*b^5*c^5*d^10 + 18*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*a^2*b^4*c^3*d^9 + 27*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a^3*b^4*c^4*d^8 + 27*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a^2*b^5*c^7*d^8 - 9*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)*a*b^4*c^2*d^10 - 9*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)*b^5*c^4*d^11*x + 9*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a^4*b^3*c*d^8 + 18*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*a*b^5*c^6*d^9 + 9*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a*b^6*c^10*d^8 - 36*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a^4*b^3*d^9*x - 3*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*b^6*c^8*d^10*x + 48*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*a*b^5*c^5*d^10*x + 18*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a*b^6*c^9*d^9*x - 18*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)*a*b^4*c*d^11*x + 51*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^2*a^2*b^4*c^2*d^10*x - 54*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k)^3*a^3*b^4*c^3*d^9*x)/(a^2 + b^2*c^6 + 2*a*b*c^3))*root(27*a^2*b^2*c^6*z^3 + 54*a^3*b*c^3*z^3 + 27*a^4*z^3 - 81*a^2*b*c^2*d*z^2 + 18*a*b*c*d^2*z - b*d^3, z, k), k, 1, 3) - 1/(a*x + b*c^3*x) - (3*b*c^2*d*log(x))/(a^2 + b^2*c^6 + 2*a*b*c^3)","B"
109,1,1328,393,2.489027,"\text{Not used}","int(1/(x^3*(a + b*(c + d*x)^3)),x)","\left(\sum _{k=1}^3\ln\left(\frac{6\,b^6\,c^4\,d^{14}-3\,a\,b^5\,c\,d^{14}}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}-\mathrm{root}\left(81\,a^3\,b^2\,c^6\,z^3+27\,a^2\,b^3\,c^9\,z^3+81\,a^4\,b\,c^3\,z^3+27\,a^5\,z^3-81\,a^3\,b\,c\,d^2\,z^2+162\,a^2\,b^2\,c^4\,d^2\,z^2+27\,a\,b^2\,c^2\,d^4\,z+b^2\,d^6,z,k\right)\,\left(\frac{a^3\,b^4\,d^{12}-6\,a^2\,b^5\,c^3\,d^{12}+12\,a\,b^6\,c^6\,d^{12}+19\,b^7\,c^9\,d^{12}}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}-\mathrm{root}\left(81\,a^3\,b^2\,c^6\,z^3+27\,a^2\,b^3\,c^9\,z^3+81\,a^4\,b\,c^3\,z^3+27\,a^5\,z^3-81\,a^3\,b\,c\,d^2\,z^2+162\,a^2\,b^2\,c^4\,d^2\,z^2+27\,a\,b^2\,c^2\,d^4\,z+b^2\,d^6,z,k\right)\,\left(\mathrm{root}\left(81\,a^3\,b^2\,c^6\,z^3+27\,a^2\,b^3\,c^9\,z^3+81\,a^4\,b\,c^3\,z^3+27\,a^5\,z^3-81\,a^3\,b\,c\,d^2\,z^2+162\,a^2\,b^2\,c^4\,d^2\,z^2+27\,a\,b^2\,c^2\,d^4\,z+b^2\,d^6,z,k\right)\,\left(\frac{9\,a^6\,b^3\,c\,d^8+45\,a^5\,b^4\,c^4\,d^8+90\,a^4\,b^5\,c^7\,d^8+90\,a^3\,b^6\,c^{10}\,d^8+45\,a^2\,b^7\,c^{13}\,d^8+9\,a\,b^8\,c^{16}\,d^8}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}-\frac{x\,\left(36\,a^6\,b^3\,d^9+126\,a^5\,b^4\,c^3\,d^9+144\,a^4\,b^5\,c^6\,d^9+36\,a^3\,b^6\,c^9\,d^9-36\,a^2\,b^7\,c^{12}\,d^9-18\,a\,b^8\,c^{15}\,d^9\right)}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}\right)+\frac{30\,a^4\,b^4\,c^2\,d^{10}+12\,a^3\,b^5\,c^5\,d^{10}-63\,a^2\,b^6\,c^8\,d^{10}-42\,a\,b^7\,c^{11}\,d^{10}+3\,b^8\,c^{14}\,d^{10}}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}+\frac{x\,\left(66\,a^4\,b^4\,c\,d^{11}+39\,a^3\,b^5\,c^4\,d^{11}-117\,a^2\,b^6\,c^7\,d^{11}-87\,a\,b^7\,c^{10}\,d^{11}+3\,b^8\,c^{13}\,d^{11}\right)}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}\right)+\frac{x\,\left(-9\,a^2\,b^5\,c^2\,d^{13}+90\,a\,b^6\,c^5\,d^{13}+18\,b^7\,c^8\,d^{13}\right)}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}\right)-\frac{x\,\left(b^6\,c^3\,d^{15}+a\,b^5\,d^{15}\right)}{a^4+4\,a^3\,b\,c^3+6\,a^2\,b^2\,c^6+4\,a\,b^3\,c^9+b^4\,c^{12}}\right)\,\mathrm{root}\left(81\,a^3\,b^2\,c^6\,z^3+27\,a^2\,b^3\,c^9\,z^3+81\,a^4\,b\,c^3\,z^3+27\,a^5\,z^3-81\,a^3\,b\,c\,d^2\,z^2+162\,a^2\,b^2\,c^4\,d^2\,z^2+27\,a\,b^2\,c^2\,d^4\,z+b^2\,d^6,z,k\right)\right)-\frac{1}{2\,\left(b\,c^3\,x^2+a\,x^2\right)}+\frac{3\,b\,c^2\,d}{x\,a^2+2\,x\,a\,b\,c^3+x\,b^2\,c^6}+\frac{6\,b^2\,c^4\,d^2\,\ln\left(x\right)}{a^3+3\,a^2\,b\,c^3+3\,a\,b^2\,c^6+b^3\,c^9}-\frac{3\,a\,b\,c\,d^2\,\ln\left(x\right)}{a^3+3\,a^2\,b\,c^3+3\,a\,b^2\,c^6+b^3\,c^9}","Not used",1,"symsum(log((6*b^6*c^4*d^14 - 3*a*b^5*c*d^14)/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6) - root(81*a^3*b^2*c^6*z^3 + 27*a^2*b^3*c^9*z^3 + 81*a^4*b*c^3*z^3 + 27*a^5*z^3 - 81*a^3*b*c*d^2*z^2 + 162*a^2*b^2*c^4*d^2*z^2 + 27*a*b^2*c^2*d^4*z + b^2*d^6, z, k)*((a^3*b^4*d^12 + 19*b^7*c^9*d^12 + 12*a*b^6*c^6*d^12 - 6*a^2*b^5*c^3*d^12)/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6) - root(81*a^3*b^2*c^6*z^3 + 27*a^2*b^3*c^9*z^3 + 81*a^4*b*c^3*z^3 + 27*a^5*z^3 - 81*a^3*b*c*d^2*z^2 + 162*a^2*b^2*c^4*d^2*z^2 + 27*a*b^2*c^2*d^4*z + b^2*d^6, z, k)*(root(81*a^3*b^2*c^6*z^3 + 27*a^2*b^3*c^9*z^3 + 81*a^4*b*c^3*z^3 + 27*a^5*z^3 - 81*a^3*b*c*d^2*z^2 + 162*a^2*b^2*c^4*d^2*z^2 + 27*a*b^2*c^2*d^4*z + b^2*d^6, z, k)*((9*a^6*b^3*c*d^8 + 9*a*b^8*c^16*d^8 + 45*a^5*b^4*c^4*d^8 + 90*a^4*b^5*c^7*d^8 + 90*a^3*b^6*c^10*d^8 + 45*a^2*b^7*c^13*d^8)/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6) - (x*(36*a^6*b^3*d^9 - 18*a*b^8*c^15*d^9 + 126*a^5*b^4*c^3*d^9 + 144*a^4*b^5*c^6*d^9 + 36*a^3*b^6*c^9*d^9 - 36*a^2*b^7*c^12*d^9))/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6)) + (3*b^8*c^14*d^10 - 42*a*b^7*c^11*d^10 + 30*a^4*b^4*c^2*d^10 + 12*a^3*b^5*c^5*d^10 - 63*a^2*b^6*c^8*d^10)/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6) + (x*(3*b^8*c^13*d^11 + 66*a^4*b^4*c*d^11 - 87*a*b^7*c^10*d^11 + 39*a^3*b^5*c^4*d^11 - 117*a^2*b^6*c^7*d^11))/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6)) + (x*(18*b^7*c^8*d^13 + 90*a*b^6*c^5*d^13 - 9*a^2*b^5*c^2*d^13))/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6)) - (x*(a*b^5*d^15 + b^6*c^3*d^15))/(a^4 + b^4*c^12 + 4*a^3*b*c^3 + 4*a*b^3*c^9 + 6*a^2*b^2*c^6))*root(81*a^3*b^2*c^6*z^3 + 27*a^2*b^3*c^9*z^3 + 81*a^4*b*c^3*z^3 + 27*a^5*z^3 - 81*a^3*b*c*d^2*z^2 + 162*a^2*b^2*c^4*d^2*z^2 + 27*a*b^2*c^2*d^4*z + b^2*d^6, z, k), k, 1, 3) - 1/(2*(a*x^2 + b*c^3*x^2)) + (3*b*c^2*d)/(a^2*x + b^2*c^6*x + 2*a*b*c^3*x) + (6*b^2*c^4*d^2*log(x))/(a^3 + b^3*c^9 + 3*a^2*b*c^3 + 3*a*b^2*c^6) - (3*a*b*c*d^2*log(x))/(a^3 + b^3*c^9 + 3*a^2*b*c^3 + 3*a*b^2*c^6)","B"
110,1,1003,356,2.692112,"\text{Not used}","int(x^3/(a + b*(c + d*x)^4),x)","\sum _{k=1}^4\ln\left(b\,c^2\,d\,\left(2\,a\,c+2\,b\,c^5-3\,a\,d\,x+5\,b\,c^4\,d\,x-\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)\,b^2\,c^5\,d^4\,2+{\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)}^2\,a\,b^2\,c\,d^8\,32+{\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)}^2\,a\,b^2\,d^9\,x\,24-\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)\,b^2\,c^4\,d^5\,x\,2+\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)\,a\,b\,c\,d^4\,38+\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)\,a\,b\,d^5\,x\,6\right)\,2\right)\,\mathrm{root}\left(256\,a^3\,b^4\,d^{16}\,z^4-256\,a^3\,b^3\,d^{12}\,z^3+480\,a^2\,b^3\,c^4\,d^8\,z^2+96\,a^3\,b^2\,d^8\,z^2+192\,a^2\,b^2\,c^4\,d^4\,z-48\,a\,b^3\,c^8\,d^4\,z-16\,a^3\,b\,d^4\,z+3\,a\,b^2\,c^8+3\,a^2\,b\,c^4+b^3\,c^{12}+a^3,z,k\right)","Not used",1,"symsum(log(2*b*c^2*d*(2*a*c + 2*b*c^5 - 3*a*d*x + 5*b*c^4*d*x - 2*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)*b^2*c^5*d^4 + 32*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)^2*a*b^2*c*d^8 + 24*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)^2*a*b^2*d^9*x - 2*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)*b^2*c^4*d^5*x + 38*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)*a*b*c*d^4 + 6*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k)*a*b*d^5*x))*root(256*a^3*b^4*d^16*z^4 - 256*a^3*b^3*d^12*z^3 + 480*a^2*b^3*c^4*d^8*z^2 + 96*a^3*b^2*d^8*z^2 + 192*a^2*b^2*c^4*d^4*z - 48*a*b^3*c^8*d^4*z - 16*a^3*b*d^4*z + 3*a*b^2*c^8 + 3*a^2*b*c^4 + b^3*c^12 + a^3, z, k), k, 1, 4)","B"
111,1,625,318,2.588036,"\text{Not used}","int(x^2/(a + b*(c + d*x)^4),x)","\sum _{k=1}^4\ln\left(-b\,d^4\,\left(a+b\,c^4+4\,b\,c^3\,d\,x+\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)\,b^2\,c^5\,d^3\,4+\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)\,b^2\,c^4\,d^4\,x\,4-\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)\,a\,b\,c\,d^3\,20-\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)\,a\,b\,d^4\,x\,4+{\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)}^2\,a\,b^2\,c^2\,d^6\,48+{\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)}^2\,a\,b^2\,c\,d^7\,x\,32\right)\right)\,\mathrm{root}\left(256\,a^3\,b^3\,d^{12}\,z^4+192\,a^2\,b^2\,c^2\,d^6\,z^2+32\,a\,b^2\,c^5\,d^3\,z-32\,a^2\,b\,c\,d^3\,z+2\,a\,b\,c^4+b^2\,c^8+a^2,z,k\right)","Not used",1,"symsum(log(-b*d^4*(a + b*c^4 + 4*b*c^3*d*x + 4*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)*b^2*c^5*d^3 + 4*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)*b^2*c^4*d^4*x - 20*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)*a*b*c*d^3 - 4*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)*a*b*d^4*x + 48*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)^2*a*b^2*c^2*d^6 + 32*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k)^2*a*b^2*c*d^7*x))*root(256*a^3*b^3*d^12*z^4 + 192*a^2*b^2*c^2*d^6*z^2 + 32*a*b^2*c^5*d^3*z - 32*a^2*b*c*d^3*z + 2*a*b*c^4 + b^2*c^8 + a^2, z, k), k, 1, 4)","B"
112,1,205,261,2.357467,"\text{Not used}","int(x/(a + b*(c + d*x)^4),x)","\sum _{k=1}^4\ln\left(-\mathrm{root}\left(256\,a^3\,b^2\,d^8\,z^4+32\,a^2\,b\,d^4\,z^2-16\,a\,b\,c^2\,d^2\,z+b\,c^4+a,z,k\right)\,\left(-\mathrm{root}\left(256\,a^3\,b^2\,d^8\,z^4+32\,a^2\,b\,d^4\,z^2-16\,a\,b\,c^2\,d^2\,z+b\,c^4+a,z,k\right)\,\left(16\,a\,x\,b^3\,d^{12}+32\,a\,c\,b^3\,d^{11}\right)+4\,b^3\,c^3\,d^9+4\,b^3\,c^2\,d^{10}\,x\right)+b^2\,d^8\,x\right)\,\mathrm{root}\left(256\,a^3\,b^2\,d^8\,z^4+32\,a^2\,b\,d^4\,z^2-16\,a\,b\,c^2\,d^2\,z+b\,c^4+a,z,k\right)","Not used",1,"symsum(log(b^2*d^8*x - root(256*a^3*b^2*d^8*z^4 + 32*a^2*b*d^4*z^2 - 16*a*b*c^2*d^2*z + b*c^4 + a, z, k)*(4*b^3*c^3*d^9 - root(256*a^3*b^2*d^8*z^4 + 32*a^2*b*d^4*z^2 - 16*a*b*c^2*d^2*z + b*c^4 + a, z, k)*(32*a*b^3*c*d^11 + 16*a*b^3*d^12*x) + 4*b^3*c^2*d^10*x))*root(256*a^3*b^2*d^8*z^4 + 32*a^2*b*d^4*z^2 - 16*a*b*c^2*d^2*z + b*c^4 + a, z, k), k, 1, 4)","B"
113,1,60,221,0.115574,"\text{Not used}","int(1/(a + b*(c + d*x)^4),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,c}{{\left(-a\right)}^{1/4}}+\frac{b^{1/4}\,d\,x}{{\left(-a\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{b^{1/4}\,c}{{\left(-a\right)}^{1/4}}+\frac{b^{1/4}\,d\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,{\left(-a\right)}^{3/4}\,b^{1/4}\,d}","Not used",1,"-(atan((b^(1/4)*c)/(-a)^(1/4) + (b^(1/4)*d*x)/(-a)^(1/4)) + atanh((b^(1/4)*c)/(-a)^(1/4) + (b^(1/4)*d*x)/(-a)^(1/4)))/(2*(-a)^(3/4)*b^(1/4)*d)","B"
114,1,882,393,2.182801,"\text{Not used}","int(1/(x*(a + b*(c + d*x)^4)),x)","\frac{\ln\left(x\right)}{b\,c^4+a}+\left(\sum _{k=1}^4\ln\left(-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^2\,b^5\,c^5\,d^{15}\,4+\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)\,b^4\,c\,d^{15}\,4+\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)\,b^4\,d^{16}\,x\,5-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^4\,a^2\,b^5\,c^5\,d^{15}\,64+{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^2\,a\,b^4\,c\,d^{15}\,28+{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^2\,a\,b^4\,d^{16}\,x\,60+{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^3\,a^2\,b^4\,c\,d^{15}\,32-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^4\,a^3\,b^4\,c\,d^{15}\,64-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^3\,a\,b^5\,c^5\,d^{15}\,32+{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^3\,a^2\,b^4\,d^{16}\,x\,240+{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^4\,a^3\,b^4\,d^{16}\,x\,320-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^2\,b^5\,c^4\,d^{16}\,x\,4-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^3\,a\,b^5\,c^4\,d^{16}\,x\,48-{\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)}^4\,a^2\,b^5\,c^4\,d^{16}\,x\,192\right)\,\mathrm{root}\left(256\,a^3\,b\,c^4\,z^4+256\,a^4\,z^4+256\,a^3\,z^3+96\,a^2\,z^2+16\,a\,z+1,z,k\right)\right)","Not used",1,"log(x)/(a + b*c^4) + symsum(log(4*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)*b^4*c*d^15 - 4*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^2*b^5*c^5*d^15 + 5*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)*b^4*d^16*x - 64*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^4*a^2*b^5*c^5*d^15 + 28*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^2*a*b^4*c*d^15 + 60*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^2*a*b^4*d^16*x + 32*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^3*a^2*b^4*c*d^15 - 64*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^4*a^3*b^4*c*d^15 - 32*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^3*a*b^5*c^5*d^15 + 240*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^3*a^2*b^4*d^16*x + 320*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^4*a^3*b^4*d^16*x - 4*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^2*b^5*c^4*d^16*x - 48*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^3*a*b^5*c^4*d^16*x - 192*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k)^4*a^2*b^5*c^4*d^16*x)*root(256*a^3*b*c^4*z^4 + 256*a^4*z^4 + 256*a^3*z^3 + 96*a^2*z^2 + 16*a*z + 1, z, k), k, 1, 4)","B"
115,1,2440,496,2.479069,"\text{Not used}","int(1/(x^2*(a + b*(c + d*x)^4)),x)","\left(\sum _{k=1}^4\ln\left(-\frac{-b^5\,d^{20}\,x-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a^4\,b^4\,d^{16}\,16+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,b^7\,c^{11}\,d^{17}\,4+\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)\,b^6\,c^6\,d^{18}\,16-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,a^2\,b^5\,c^3\,d^{17}\,60+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a^3\,b^5\,c^4\,d^{16}\,176+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^4\,b^5\,c^5\,d^{15}\,192+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a^2\,b^6\,c^8\,d^{16}\,144+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^3\,b^6\,c^9\,d^{15}\,192+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^2\,b^7\,c^{13}\,d^{15}\,64+\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)\,b^6\,c^5\,d^{19}\,x\,16+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^5\,b^4\,c\,d^{15}\,64-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,a\,b^6\,c^7\,d^{17}\,184-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a\,b^7\,c^{12}\,d^{16}\,48-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^5\,b^4\,d^{16}\,x\,320+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,b^7\,c^{10}\,d^{18}\,x\,4-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,a\,b^6\,c^6\,d^{18}\,x\,248-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a\,b^7\,c^{11}\,d^{17}\,x\,64+\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)\,a\,b^5\,c\,d^{19}\,x\,32-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^2\,a^2\,b^5\,c^2\,d^{18}\,x\,316+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a^3\,b^5\,c^3\,d^{17}\,x\,704-{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^4\,b^5\,c^4\,d^{16}\,x\,448+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^3\,a^2\,b^6\,c^7\,d^{17}\,x\,640+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^3\,b^6\,c^8\,d^{16}\,x\,64+{\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)}^4\,a^2\,b^7\,c^{12}\,d^{16}\,x\,192}{a^2+2\,a\,b\,c^4+b^2\,c^8}\right)\,\mathrm{root}\left(256\,a^3\,b^2\,c^8\,z^4+512\,a^4\,b\,c^4\,z^4+256\,a^5\,z^4-1024\,a^3\,b\,c^3\,d\,z^3+320\,a^2\,b\,c^2\,d^2\,z^2-32\,a\,b\,c\,d^3\,z+b\,d^4,z,k\right)\right)-\frac{1}{b\,x\,c^4+a\,x}-\frac{4\,b\,c^3\,d\,\ln\left(x\right)}{a^2+2\,a\,b\,c^4+b^2\,c^8}","Not used",1,"symsum(log(-(4*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*b^7*c^11*d^17 - 16*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a^4*b^4*d^16 - b^5*d^20*x + 16*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)*b^6*c^6*d^18 - 60*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*a^2*b^5*c^3*d^17 + 176*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a^3*b^5*c^4*d^16 + 192*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^4*b^5*c^5*d^15 + 144*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a^2*b^6*c^8*d^16 + 192*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^3*b^6*c^9*d^15 + 64*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^2*b^7*c^13*d^15 + 16*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)*b^6*c^5*d^19*x + 64*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^5*b^4*c*d^15 - 184*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*a*b^6*c^7*d^17 - 48*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a*b^7*c^12*d^16 - 320*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^5*b^4*d^16*x + 4*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*b^7*c^10*d^18*x - 248*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*a*b^6*c^6*d^18*x - 64*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a*b^7*c^11*d^17*x + 32*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)*a*b^5*c*d^19*x - 316*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^2*a^2*b^5*c^2*d^18*x + 704*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a^3*b^5*c^3*d^17*x - 448*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^4*b^5*c^4*d^16*x + 640*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^3*a^2*b^6*c^7*d^17*x + 64*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^3*b^6*c^8*d^16*x + 192*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k)^4*a^2*b^7*c^12*d^16*x)/(a^2 + b^2*c^8 + 2*a*b*c^4))*root(256*a^3*b^2*c^8*z^4 + 512*a^4*b*c^4*z^4 + 256*a^5*z^4 - 1024*a^3*b*c^3*d*z^3 + 320*a^2*b*c^2*d^2*z^2 - 32*a*b*c*d^3*z + b*d^4, z, k), k, 1, 4) - 1/(a*x + b*c^4*x) - (4*b*c^3*d*log(x))/(a^2 + b^2*c^8 + 2*a*b*c^4)","B"
116,1,175,123,0.214919,"\text{Not used}","int((a + 8*x - 8*x^2 + 4*x^3 - x^4)^4,x)","x^{12}\,\left(4\,a-\frac{1856}{3}\right)-x^{13}\,\left(\frac{4\,a}{13}-\frac{2560}{13}\right)+x^{10}\,\left(112\,a-\frac{14848}{5}\right)-x^{11}\,\left(\frac{288\,a}{11}-\frac{16768}{11}\right)-x^8\,\left(6\,a^2-768\,a+5376\right)-x^6\,\left(80\,a^2-1536\,a+\frac{8192}{3}\right)+x^7\,\left(\frac{192\,a^2}{7}-1280\,a+\frac{32768}{7}\right)+x^9\,\left(\frac{2\,a^2}{3}-\frac{1024\,a}{3}+\frac{40960}{9}\right)-x^5\,\left(\frac{4\,a^3}{5}-\frac{768\,a^2}{5}+\frac{6144\,a}{5}-\frac{4096}{5}\right)+a^4\,x-48\,x^{14}+\frac{128\,x^{15}}{15}-x^{16}+\frac{x^{17}}{17}+16\,a^3\,x^2+4\,a\,x^4\,\left(a^2-48\,a+128\right)-\frac{32\,a^2\,x^3\,\left(a-12\right)}{3}","Not used",1,"x^12*(4*a - 1856/3) - x^13*((4*a)/13 - 2560/13) + x^10*(112*a - 14848/5) - x^11*((288*a)/11 - 16768/11) - x^8*(6*a^2 - 768*a + 5376) - x^6*(80*a^2 - 1536*a + 8192/3) + x^7*((192*a^2)/7 - 1280*a + 32768/7) + x^9*((2*a^2)/3 - (1024*a)/3 + 40960/9) - x^5*((6144*a)/5 - (768*a^2)/5 + (4*a^3)/5 - 4096/5) + a^4*x - 48*x^14 + (128*x^15)/15 - x^16 + x^17/17 + 16*a^3*x^2 + 4*a*x^4*(a^2 - 48*a + 128) - (32*a^2*x^3*(a - 12))/3","B"
117,1,108,120,0.095017,"\text{Not used}","int((a + 8*x - 8*x^2 + 4*x^3 - x^4)^3,x)","x^9\,\left(\frac{a}{3}-\frac{256}{3}\right)-x^8\,\left(3\,a-192\right)-x^6\,\left(40\,a-384\right)+x^7\,\left(\frac{96\,a}{7}-320\right)+x^4\,\left(3\,a^2-96\,a+128\right)-x^5\,\left(\frac{3\,a^2}{5}-\frac{384\,a}{5}+\frac{1536}{5}\right)+a^3\,x+28\,x^{10}-\frac{72\,x^{11}}{11}+x^{12}-\frac{x^{13}}{13}+12\,a^2\,x^2-8\,a\,x^3\,\left(a-8\right)","Not used",1,"x^9*(a/3 - 256/3) - x^8*(3*a - 192) - x^6*(40*a - 384) + x^7*((96*a)/7 - 320) + x^4*(3*a^2 - 96*a + 128) - x^5*((3*a^2)/5 - (384*a)/5 + 1536/5) + a^3*x + 28*x^10 - (72*x^11)/11 + x^12 - x^13/13 + 12*a^2*x^2 - 8*a*x^3*(a - 8)","B"
118,1,61,72,0.039449,"\text{Not used}","int((a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","x^4\,\left(2\,a-32\right)-x^3\,\left(\frac{16\,a}{3}-\frac{64}{3}\right)-x^5\,\left(\frac{2\,a}{5}-\frac{128}{5}\right)+8\,a\,x^2+a^2\,x-\frac{40\,x^6}{3}+\frac{32\,x^7}{7}-x^8+\frac{x^9}{9}","Not used",1,"x^4*(2*a - 32) - x^3*((16*a)/3 - 64/3) - x^5*((2*a)/5 - 128/5) + 8*a*x^2 + a^2*x - (40*x^6)/3 + (32*x^7)/7 - x^8 + x^9/9","B"
119,1,22,26,0.017522,"\text{Not used}","int(a + 8*x - 8*x^2 + 4*x^3 - x^4,x)","-\frac{x^5}{5}+x^4-\frac{8\,x^3}{3}+4\,x^2+a\,x","Not used",1,"a*x + 4*x^2 - (8*x^3)/3 + x^4 - x^5/5","B"
120,1,571,89,2.576069,"\text{Not used}","int(1/(a + 8*x - 8*x^2 + 4*x^3 - x^4),x)","-\mathrm{atan}\left(-\frac{a\,8{}\mathrm{i}-x\,16{}\mathrm{i}+x\,\sqrt{a^3+12\,a^2+48\,a+64}\,1{}\mathrm{i}-a\,x\,8{}\mathrm{i}-\sqrt{a^3+12\,a^2+48\,a+64}\,1{}\mathrm{i}-a^2\,x\,1{}\mathrm{i}+a^2\,1{}\mathrm{i}+16{}\mathrm{i}}{44\,a^2\,\sqrt{\frac{a-\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+4\,a^3\,\sqrt{\frac{a-\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+160\,a\,\sqrt{\frac{a-\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+192\,\sqrt{\frac{a-\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}}\right)\,\sqrt{\frac{a-\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{a\,8{}\mathrm{i}-x\,16{}\mathrm{i}-x\,\sqrt{a^3+12\,a^2+48\,a+64}\,1{}\mathrm{i}-a\,x\,8{}\mathrm{i}+\sqrt{a^3+12\,a^2+48\,a+64}\,1{}\mathrm{i}-a^2\,x\,1{}\mathrm{i}+a^2\,1{}\mathrm{i}+16{}\mathrm{i}}{160\,a\,\sqrt{\frac{a+\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+192\,\sqrt{\frac{a+\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+44\,a^2\,\sqrt{\frac{a+\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}+4\,a^3\,\sqrt{\frac{a+\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}}\right)\,\sqrt{\frac{a+\sqrt{a^3+12\,a^2+48\,a+64}+4}{16\,a^3+176\,a^2+640\,a+768}}\,2{}\mathrm{i}","Not used",1,"- atan(-(a*8i - x*16i + x*(48*a + 12*a^2 + a^3 + 64)^(1/2)*1i - a*x*8i - (48*a + 12*a^2 + a^3 + 64)^(1/2)*1i - a^2*x*1i + a^2*1i + 16i)/(44*a^2*((a - (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 4*a^3*((a - (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 160*a*((a - (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 192*((a - (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2)))*((a - (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2)*2i - atan(-(a*8i - x*16i - x*(48*a + 12*a^2 + a^3 + 64)^(1/2)*1i - a*x*8i + (48*a + 12*a^2 + a^3 + 64)^(1/2)*1i - a^2*x*1i + a^2*1i + 16i)/(160*a*((a + (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 192*((a + (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 44*a^2*((a + (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2) + 4*a^3*((a + (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2)))*((a + (48*a + 12*a^2 + a^3 + 64)^(1/2) + 4)/(640*a + 176*a^2 + 16*a^3 + 768))^(1/2)*2i","B"
121,1,4591,169,5.352330,"\text{Not used}","int(1/(a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","\frac{\frac{x^3}{4\,\left(a^2+7\,a+12\right)}-\frac{a+6}{4\,\left(a+3\right)\,\left(a+4\right)}-\frac{3\,x^2}{4\,\left(a+3\right)\,\left(a+4\right)}+\frac{x\,\left(a+8\right)}{4\,\left(a+3\right)\,\left(a+4\right)}}{-x^4+4\,x^3-8\,x^2+8\,x+a}+\mathrm{atan}\left(-\frac{\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}-\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,1{}\mathrm{i}+\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,1{}\mathrm{i}}{\frac{9\,a+32}{32\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}-\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)-\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)}\right)\,\sqrt{\frac{15552\,a-9\,a\,\sqrt{{\left(a+4\right)}^9}-31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}-\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,1{}\mathrm{i}+\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,1{}\mathrm{i}}{\frac{9\,a+32}{32\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}-\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)-\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,\left(\left(\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(256\,a^5+4608\,a^4+33024\,a^3+117760\,a^2+208896\,a+147456\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{768\,a^5+14336\,a^4+106752\,a^3+396288\,a^2+733184\,a+540672}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}+\frac{144\,a^3+1552\,a^2+5568\,a+6656}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(9\,a^2+61\,a+104\right)}{4\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}\right)}\right)\,\sqrt{\frac{15552\,a+9\,a\,\sqrt{{\left(a+4\right)}^9}+31\,\sqrt{{\left(a+4\right)}^9}+8208\,a^2+2164\,a^3+285\,a^4+15\,a^5+11776}{256\,\left(a^9+33\,a^8+483\,a^7+4115\,a^6+22488\,a^5+81744\,a^4+197632\,a^3+306432\,a^2+276480\,a+110592\right)}}\,2{}\mathrm{i}","Not used",1,"atan(-(((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) - (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*1i + ((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*1i)/((9*a + 32)/(32*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + ((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) - (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144))) - ((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))))*((15552*a - 9*a*((a + 4)^9)^(1/2) - 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*2i + atan(-(((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) - (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*1i + ((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*1i)/((9*a + 32)/(32*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + ((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) - (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144))) - ((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*((((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(208896*a + 117760*a^2 + 33024*a^3 + 4608*a^4 + 256*a^5 + 147456))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (733184*a + 396288*a^2 + 106752*a^3 + 14336*a^4 + 768*a^5 + 540672)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2) + (5568*a + 1552*a^2 + 144*a^3 + 6656)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(61*a + 9*a^2 + 104))/(4*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)))))*((15552*a + 9*a*((a + 4)^9)^(1/2) + 31*((a + 4)^9)^(1/2) + 8208*a^2 + 2164*a^3 + 285*a^4 + 15*a^5 + 11776)/(256*(276480*a + 306432*a^2 + 197632*a^3 + 81744*a^4 + 22488*a^5 + 4115*a^6 + 483*a^7 + 33*a^8 + a^9 + 110592)))^(1/2)*2i + (x^3/(4*(7*a + a^2 + 12)) - (a + 6)/(4*(a + 3)*(a + 4)) - (3*x^2)/(4*(a + 3)*(a + 4)) + (x*(a + 8))/(4*(a + 3)*(a + 4)))/(a + 8*x - 8*x^2 + 4*x^3 - x^4)","B"
122,1,8242,252,6.405216,"\text{Not used}","int(1/(a + 8*x - 8*x^2 + 4*x^3 - x^4)^3,x)","-\frac{\frac{11\,a^3+131\,a^2+408\,a+288}{32\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}-\frac{21\,x^6\,\left(2\,a+7\right)}{16\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}+\frac{3\,x^7\,\left(2\,a+7\right)}{16\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}+\frac{x\,\left(-11\,a^3-107\,a^2+84\,a+1152\right)}{32\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}-\frac{5\,x^4\,\left(7\,a^2+175\,a+528\right)}{32\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}+\frac{x^5\,\left(7\,a^2+343\,a+1116\right)}{32\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}-\frac{x^2\,\left(32\,a^2+623\,a+1800\right)}{16\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}+\frac{x^3\,\left(34\,a^2+679\,a+1968\right)}{16\,\left(a+4\right)\,\left(a^3+10\,a^2+33\,a+36\right)}}{16\,a\,x-x^2\,\left(16\,a-64\right)-x^4\,\left(2\,a-128\right)+x^3\,\left(8\,a-128\right)+a^2-80\,x^5+32\,x^6-8\,x^7+x^8}+\mathrm{atan}\left(\frac{\left(\left(\frac{172032\,a^9+5726208\,a^8+84615168\,a^7+728506368\,a^6+4027170816\,a^5+14822473728\,a^4+36322148352\,a^3+57139003392\,a^2+52357496832\,a+21290287104}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}+\left(\frac{1048576\,a^{11}+41943040\,a^{10}+761266176\,a^9+8275361792\,a^8+59862155264\,a^7+302556119040\,a^6+1090200272896\,a^5+2800520003584\,a^4+5025917042688\,a^3+6001143054336\,a^2+4290672328704\,a+1391569403904}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(16384\,a^9+524288\,a^8+7438336\,a^7+61407232\,a^6+325074944\,a^5+1144324096\,a^4+2678587392\,a^3+4020240384\,a^2+3510632448\,a+1358954496\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a-338\,a\,\sqrt{{\left(a+4\right)}^{15}}-589\,\sqrt{{\left(a+4\right)}^{15}}-49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}\right)\,\sqrt{\frac{9\,\left(39329792\,a-338\,a\,\sqrt{{\left(a+4\right)}^{15}}-589\,\sqrt{{\left(a+4\right)}^{15}}-49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}+\frac{28224\,a^6+614016\,a^5+5576256\,a^4+27065088\,a^3+74059776\,a^2+108343296\,a+66207744}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(441\,a^4+6066\,a^3+31545\,a^2+73476\,a+64656\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a-338\,a\,\sqrt{{\left(a+4\right)}^{15}}-589\,\sqrt{{\left(a+4\right)}^{15}}-49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}\,1{}\mathrm{i}-\left(\left(\frac{172032\,a^9+5726208\,a^8+84615168\,a^7+728506368\,a^6+4027170816\,a^5+14822473728\,a^4+36322148352\,a^3+57139003392\,a^2+52357496832\,a+21290287104}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\left(\frac{1048576\,a^{11}+41943040\,a^{10}+761266176\,a^9+8275361792\,a^8+59862155264\,a^7+302556119040\,a^6+1090200272896\,a^5+2800520003584\,a^4+5025917042688\,a^3+6001143054336\,a^2+4290672328704\,a+1391569403904}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(16384\,a^9+524288\,a^8+7438336\,a^7+61407232\,a^6+325074944\,a^5+1144324096\,a^4+2678587392\,a^3+4020240384\,a^2+3510632448\,a+1358954496\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a-338\,a\,\sqrt{{\left(a+4\right)}^{15}}-589\,\sqrt{{\left(a+4\right)}^{15}}-49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}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410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}+\frac{28224\,a^6+614016\,a^5+5576256\,a^4+27065088\,a^3+74059776\,a^2+108343296\,a+66207744}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(441\,a^4+6066\,a^3+31545\,a^2+73476\,a+64656\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}+\left(\left(\frac{172032\,a^9+5726208\,a^8+84615168\,a^7+728506368\,a^6+4027170816\,a^5+14822473728\,a^4+36322148352\,a^3+57139003392\,a^2+52357496832\,a+21290287104}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\left(\frac{1048576\,a^{11}+41943040\,a^{10}+761266176\,a^9+8275361792\,a^8+59862155264\,a^7+302556119040\,a^6+1090200272896\,a^5+2800520003584\,a^4+5025917042688\,a^3+6001143054336\,a^2+4290672328704\,a+1391569403904}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(16384\,a^9+524288\,a^8+7438336\,a^7+61407232\,a^6+325074944\,a^5+1144324096\,a^4+2678587392\,a^3+4020240384\,a^2+3510632448\,a+1358954496\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}-\frac{28224\,a^6+614016\,a^5+5576256\,a^4+27065088\,a^3+74059776\,a^2+108343296\,a+66207744}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}+\frac{x\,\left(441\,a^4+6066\,a^3+31545\,a^2+73476\,a+64656\right)}{256\,\left(a^8+28\,a^7+342\,a^6+2380\,a^5+10321\,a^4+28560\,a^3+49248\,a^2+48384\,a+20736\right)}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}-\frac{2646\,a^3+28053\,a^2+99468\,a+117936}{8192\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}}\right)\,\sqrt{\frac{9\,\left(39329792\,a+338\,a\,\sqrt{{\left(a+4\right)}^{15}}+589\,\sqrt{{\left(a+4\right)}^{15}}+49\,a^2\,\sqrt{{\left(a+4\right)}^{15}}+41598976\,a^2+25672960\,a^3+10187840\,a^4+2695744\,a^5+475608\,a^6+53949\,a^7+3570\,a^8+105\,a^9+16531456\right)}{16384\,\left(a^{15}+55\,a^{14}+1410\,a^{13}+22350\,a^{12}+244965\,a^{11}+1966491\,a^{10}+11944200\,a^9+55893360\,a^8+203166720\,a^7+573621760\,a^6+1247703040\,a^5+2053201920\,a^4+2474311680\,a^3+2061434880\,a^2+1061683200\,a+254803968\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*1i - (((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*1i)/((((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (99468*a + 28053*a^2 + 2646*a^3 + 117936)/(8192*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776))))*((9*(39329792*a - 338*a*((a + 4)^15)^(1/2) - 589*((a + 4)^15)^(1/2) - 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*2i + atan(((((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*1i - (((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*1i)/((((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) + (((52357496832*a + 57139003392*a^2 + 36322148352*a^3 + 14822473728*a^4 + 4027170816*a^5 + 728506368*a^6 + 84615168*a^7 + 5726208*a^8 + 172032*a^9 + 21290287104)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - ((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(3510632448*a + 4020240384*a^2 + 2678587392*a^3 + 1144324096*a^4 + 325074944*a^5 + 61407232*a^6 + 7438336*a^7 + 524288*a^8 + 16384*a^9 + 1358954496))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (108343296*a + 74059776*a^2 + 27065088*a^3 + 5576256*a^4 + 614016*a^5 + 28224*a^6 + 66207744)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + (x*(73476*a + 31545*a^2 + 6066*a^3 + 441*a^4 + 64656))/(256*(48384*a + 49248*a^2 + 28560*a^3 + 10321*a^4 + 2380*a^5 + 342*a^6 + 28*a^7 + a^8 + 20736)))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2) - (99468*a + 28053*a^2 + 2646*a^3 + 117936)/(8192*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776))))*((9*(39329792*a + 338*a*((a + 4)^15)^(1/2) + 589*((a + 4)^15)^(1/2) + 49*a^2*((a + 4)^15)^(1/2) + 41598976*a^2 + 25672960*a^3 + 10187840*a^4 + 2695744*a^5 + 475608*a^6 + 53949*a^7 + 3570*a^8 + 105*a^9 + 16531456))/(16384*(1061683200*a + 2061434880*a^2 + 2474311680*a^3 + 2053201920*a^4 + 1247703040*a^5 + 573621760*a^6 + 203166720*a^7 + 55893360*a^8 + 11944200*a^9 + 1966491*a^10 + 244965*a^11 + 22350*a^12 + 1410*a^13 + 55*a^14 + a^15 + 254803968)))^(1/2)*2i - ((408*a + 131*a^2 + 11*a^3 + 288)/(32*(a + 4)*(33*a + 10*a^2 + a^3 + 36)) - (21*x^6*(2*a + 7))/(16*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)) + (3*x^7*(2*a + 7))/(16*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)) + (x*(84*a - 107*a^2 - 11*a^3 + 1152))/(32*(a + 4)*(33*a + 10*a^2 + a^3 + 36)) - (5*x^4*(175*a + 7*a^2 + 528))/(32*(a + 4)*(33*a + 10*a^2 + a^3 + 36)) + (x^5*(343*a + 7*a^2 + 1116))/(32*(a + 4)*(33*a + 10*a^2 + a^3 + 36)) - (x^2*(623*a + 32*a^2 + 1800))/(16*(a + 4)*(33*a + 10*a^2 + a^3 + 36)) + (x^3*(679*a + 34*a^2 + 1968))/(16*(a + 4)*(33*a + 10*a^2 + a^3 + 36)))/(16*a*x - x^2*(16*a - 64) - x^4*(2*a - 128) + x^3*(8*a - 128) + a^2 - 80*x^5 + 32*x^6 - 8*x^7 + x^8)","B"
123,1,178,210,0.217298,"\text{Not used}","int(x*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^4,x)","x^{13}\,\left(\frac{48\,a}{13}-\frac{7424}{13}\right)-x^{12}\,\left(24\,a-\frac{4192}{3}\right)-x^{14}\,\left(\frac{2\,a}{7}-\frac{1280}{7}\right)+x^{11}\,\left(\frac{1120\,a}{11}-\frac{29696}{11}\right)+x^8\,\left(24\,a^2-1120\,a+4096\right)+x^{10}\,\left(\frac{3\,a^2}{5}-\frac{1536\,a}{5}+4096\right)-x^9\,\left(\frac{16\,a^2}{3}-\frac{2048\,a}{3}+\frac{14336}{3}\right)-x^7\,\left(\frac{480\,a^2}{7}-\frac{9216\,a}{7}+\frac{16384}{7}\right)-x^6\,\left(\frac{2\,a^3}{3}-128\,a^2+1024\,a-\frac{2048}{3}\right)-\frac{224\,x^{15}}{5}+8\,x^{16}-\frac{16\,x^{17}}{17}+\frac{x^{18}}{18}+\frac{32\,a^3\,x^3}{3}+\frac{a^4\,x^2}{2}+\frac{16\,a\,x^5\,\left(a^2-48\,a+128\right)}{5}-8\,a^2\,x^4\,\left(a-12\right)","Not used",1,"x^13*((48*a)/13 - 7424/13) - x^12*(24*a - 4192/3) - x^14*((2*a)/7 - 1280/7) + x^11*((1120*a)/11 - 29696/11) + x^8*(24*a^2 - 1120*a + 4096) + x^10*((3*a^2)/5 - (1536*a)/5 + 4096) - x^9*((16*a^2)/3 - (2048*a)/3 + 14336/3) - x^7*((480*a^2)/7 - (9216*a)/7 + 16384/7) - x^6*(1024*a - 128*a^2 + (2*a^3)/3 - 2048/3) - (224*x^15)/5 + 8*x^16 - (16*x^17)/17 + x^18/18 + (32*a^3*x^3)/3 + (a^4*x^2)/2 + (16*a*x^5*(a^2 - 48*a + 128))/5 - 8*a^2*x^4*(a - 12)","B"
124,1,113,134,2.120273,"\text{Not used}","int(x*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^3,x)","x^8\,\left(12\,a-280\right)+x^{10}\,\left(\frac{3\,a}{10}-\frac{384}{5}\right)-x^9\,\left(\frac{8\,a}{3}-\frac{512}{3}\right)-x^7\,\left(\frac{240\,a}{7}-\frac{2304}{7}\right)-x^6\,\left(\frac{a^2}{2}-64\,a+256\right)+x^5\,\left(\frac{12\,a^2}{5}-\frac{384\,a}{5}+\frac{512}{5}\right)+\frac{280\,x^{11}}{11}-6\,x^{12}+\frac{12\,x^{13}}{13}-\frac{x^{14}}{14}+8\,a^2\,x^3+\frac{a^3\,x^2}{2}-6\,a\,x^4\,\left(a-8\right)","Not used",1,"x^8*(12*a - 280) + x^10*((3*a)/10 - 384/5) - x^9*((8*a)/3 - 512/3) - x^7*((240*a)/7 - 2304/7) - x^6*(a^2/2 - 64*a + 256) + x^5*((12*a^2)/5 - (384*a)/5 + 512/5) + (280*x^11)/11 - 6*x^12 + (12*x^13)/13 - x^14/14 + 8*a^2*x^3 + (a^3*x^2)/2 - 6*a*x^4*(a - 8)","B"
125,1,64,79,0.037821,"\text{Not used}","int(x*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","x^5\,\left(\frac{8\,a}{5}-\frac{128}{5}\right)-x^6\,\left(\frac{a}{3}-\frac{64}{3}\right)-x^4\,\left(4\,a-16\right)+\frac{16\,a\,x^3}{3}-\frac{80\,x^7}{7}+4\,x^8-\frac{8\,x^9}{9}+\frac{x^{10}}{10}+\frac{a^2\,x^2}{2}","Not used",1,"x^5*((8*a)/5 - 128/5) - x^6*(a/3 - 64/3) - x^4*(4*a - 16) + (16*a*x^3)/3 - (80*x^7)/7 + 4*x^8 - (8*x^9)/9 + x^10/10 + (a^2*x^2)/2","B"
126,1,27,35,0.021670,"\text{Not used}","int(x*(a + 8*x - 8*x^2 + 4*x^3 - x^4),x)","-\frac{x^6}{6}+\frac{4\,x^5}{5}-2\,x^4+\frac{8\,x^3}{3}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (8*x^3)/3 - 2*x^4 + (4*x^5)/5 - x^6/6","B"
127,1,275,116,2.581894,"\text{Not used}","int(x/(a + 8*x - 8*x^2 + 4*x^3 - x^4),x)","\sum _{k=1}^4\ln\left(-x-\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-32\,a^2\,z^2-256\,a\,z^2-512\,z^2+16\,a\,z+64\,z+a,z,k\right)\,\left(\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-32\,a^2\,z^2-256\,a\,z^2-512\,z^2+16\,a\,z+64\,z+a,z,k\right)\,\left(32\,a-\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-32\,a^2\,z^2-256\,a\,z^2-512\,z^2+16\,a\,z+64\,z+a,z,k\right)\,\left(64\,a-x\,\left(64\,a+256\right)+256\right)-x\,\left(16\,a+64\right)+128\right)-8\right)\right)\,\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-32\,a^2\,z^2-256\,a\,z^2-512\,z^2+16\,a\,z+64\,z+a,z,k\right)","Not used",1,"symsum(log(- x - root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 32*a^2*z^2 - 256*a*z^2 - 512*z^2 + 16*a*z + 64*z + a, z, k)*(root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 32*a^2*z^2 - 256*a*z^2 - 512*z^2 + 16*a*z + 64*z + a, z, k)*(32*a - root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 32*a^2*z^2 - 256*a*z^2 - 512*z^2 + 16*a*z + 64*z + a, z, k)*(64*a - x*(64*a + 256) + 256) - x*(16*a + 64) + 128) - 8))*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 32*a^2*z^2 - 256*a*z^2 - 512*z^2 + 16*a*z + 64*z + a, z, k), k, 1, 4)","B"
128,1,1167,231,2.816781,"\text{Not used}","int(x/(a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","\left(\sum _{k=1}^4\ln\left(-\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-8699904\,a^2\,z^2-2842624\,a^3\,z^2-520704\,a^4\,z^2-50688\,a^5\,z^2-2048\,a^6\,z^2-14155776\,a\,z^2-9568256\,z^2+102912\,a^2\,z+17792\,a^3\,z+1152\,a^4\,z+264192\,a\,z+253952\,z-984\,a-57\,a^2+16\,a^3-2064,z,k\right)\,\left(\frac{336\,a^3+3600\,a^2+12800\,a+15104}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-8699904\,a^2\,z^2-2842624\,a^3\,z^2-520704\,a^4\,z^2-50688\,a^5\,z^2-2048\,a^6\,z^2-14155776\,a\,z^2-9568256\,z^2+102912\,a^2\,z+17792\,a^3\,z+1152\,a^4\,z+264192\,a\,z+253952\,z-984\,a-57\,a^2+16\,a^3-2064,z,k\right)\,\left(\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-8699904\,a^2\,z^2-2842624\,a^3\,z^2-520704\,a^4\,z^2-50688\,a^5\,z^2-2048\,a^6\,z^2-14155776\,a\,z^2-9568256\,z^2+102912\,a^2\,z+17792\,a^3\,z+1152\,a^4\,z+264192\,a\,z+253952\,z-984\,a-57\,a^2+16\,a^3-2064,z,k\right)\,\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(1024\,a^6+22528\,a^5+205824\,a^4+999424\,a^3+2719744\,a^2+3932160\,a+2359296\right)}{16\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)-\frac{1280\,a^5+23552\,a^4+172800\,a^3+631808\,a^2+1150976\,a+835584}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\frac{x\,\left(128\,a^5+2304\,a^4+16512\,a^3+58880\,a^2+104448\,a+73728\right)}{16\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)-\frac{x\,\left(20\,a^3+228\,a^2+864\,a+1088\right)}{16\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)+\frac{4\,a^2+35\,a+68}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\frac{x\,\left(2\,a^2+9\,a+8\right)}{16\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-8699904\,a^2\,z^2-2842624\,a^3\,z^2-520704\,a^4\,z^2-50688\,a^5\,z^2-2048\,a^6\,z^2-14155776\,a\,z^2-9568256\,z^2+102912\,a^2\,z+17792\,a^3\,z+1152\,a^4\,z+264192\,a\,z+253952\,z-984\,a-57\,a^2+16\,a^3-2064,z,k\right)\right)+\frac{\frac{x^3}{4\,\left(a^2+7\,a+12\right)}+\frac{a}{4\,\left(a+3\right)\,\left(a+4\right)}-\frac{x\,\left(a-2\right)}{4\,\left(a+3\right)\,\left(a+4\right)}+\frac{a\,x^2}{4\,\left(a+3\right)\,\left(a+4\right)}}{-x^4+4\,x^3-8\,x^2+8\,x+a}","Not used",1,"symsum(log((35*a + 4*a^2 + 68)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 8699904*a^2*z^2 - 2842624*a^3*z^2 - 520704*a^4*z^2 - 50688*a^5*z^2 - 2048*a^6*z^2 - 14155776*a*z^2 - 9568256*z^2 + 102912*a^2*z + 17792*a^3*z + 1152*a^4*z + 264192*a*z + 253952*z - 984*a - 57*a^2 + 16*a^3 - 2064, z, k)*((12800*a + 3600*a^2 + 336*a^3 + 15104)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 8699904*a^2*z^2 - 2842624*a^3*z^2 - 520704*a^4*z^2 - 50688*a^5*z^2 - 2048*a^6*z^2 - 14155776*a*z^2 - 9568256*z^2 + 102912*a^2*z + 17792*a^3*z + 1152*a^4*z + 264192*a*z + 253952*z - 984*a - 57*a^2 + 16*a^3 - 2064, z, k)*(root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 8699904*a^2*z^2 - 2842624*a^3*z^2 - 520704*a^4*z^2 - 50688*a^5*z^2 - 2048*a^6*z^2 - 14155776*a*z^2 - 9568256*z^2 + 102912*a^2*z + 17792*a^3*z + 1152*a^4*z + 264192*a*z + 253952*z - 984*a - 57*a^2 + 16*a^3 - 2064, z, k)*((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(3932160*a + 2719744*a^2 + 999424*a^3 + 205824*a^4 + 22528*a^5 + 1024*a^6 + 2359296))/(16*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))) - (1150976*a + 631808*a^2 + 172800*a^3 + 23552*a^4 + 1280*a^5 + 835584)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + (x*(104448*a + 58880*a^2 + 16512*a^3 + 2304*a^4 + 128*a^5 + 73728))/(16*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))) - (x*(864*a + 228*a^2 + 20*a^3 + 1088))/(16*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))) + (x*(9*a + 2*a^2 + 8))/(16*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)))*root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 8699904*a^2*z^2 - 2842624*a^3*z^2 - 520704*a^4*z^2 - 50688*a^5*z^2 - 2048*a^6*z^2 - 14155776*a*z^2 - 9568256*z^2 + 102912*a^2*z + 17792*a^3*z + 1152*a^4*z + 264192*a*z + 253952*z - 984*a - 57*a^2 + 16*a^3 - 2064, z, k), k, 1, 4) + (x^3/(4*(7*a + a^2 + 12)) + a/(4*(a + 3)*(a + 4)) - (x*(a - 2))/(4*(a + 3)*(a + 4)) + (a*x^2)/(4*(a + 3)*(a + 4)))/(a + 8*x - 8*x^2 + 4*x^3 - x^4)","B"
129,1,2200,349,3.393756,"\text{Not used}","int(x/(a + 8*x - 8*x^2 + 4*x^3 - x^4)^3,x)","\left(\sum _{k=1}^4\ln\left(-\frac{648\,a^4+10098\,a^3+56187\,a^2+133812\,a+115776}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}+\mathrm{root}\left(15003759578972160\,a^8\,z^4+54537151127224320\,a^7\,z^4+153980418717122560\,a^6\,z^4+334927734494986240\,a^5\,z^4+551152193655275520\,a^4\,z^4+664192984106926080\,a^3\,z^4+553362212027105280\,a^2\,z^4+5999532441600\,a^{12}\,z^4+527875908304896\,a^{10}\,z^4+284993413919539200\,a\,z^4+3206246773555200\,a^9\,z^4+14763950080\,a^{14}\,z^4+65757291479040\,a^{11}\,z^4+378493992960\,a^{13}\,z^4+268435456\,a^{15}\,z^4+68398419340689408\,z^4-4718592\,a^{10}\,z^2-3648061440\,a^8\,z^2-286939938816\,a^6\,z^2-15023392948224\,a\,z^2-16752587046912\,a^2\,z^2-4764645457920\,a^4\,z^2-40022212608\,a^7\,z^2-11043392716800\,a^3\,z^2-1405437345792\,a^5\,z^2-196116480\,a^9\,z^2-6049461436416\,z^2+5375877120\,a^4\,z+839890944\,a^5\,z+47542173696\,a^2\,z+72880128\,a^6\,z+2709504\,a^7\,z+20640890880\,a^3\,z+60827369472\,a\,z+33351008256\,z-74027520\,a-29249424\,a^2-4706424\,a^3-155601\,a^4+20736\,a^5-68345856,z,k\right)\,\left(\frac{69696\,a^6+1494144\,a^5+13340736\,a^4+63509760\,a^3+170044416\,a^2+242823168\,a+144506880}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}+\mathrm{root}\left(15003759578972160\,a^8\,z^4+54537151127224320\,a^7\,z^4+153980418717122560\,a^6\,z^4+334927734494986240\,a^5\,z^4+551152193655275520\,a^4\,z^4+664192984106926080\,a^3\,z^4+553362212027105280\,a^2\,z^4+5999532441600\,a^{12}\,z^4+527875908304896\,a^{10}\,z^4+284993413919539200\,a\,z^4+3206246773555200\,a^9\,z^4+14763950080\,a^{14}\,z^4+65757291479040\,a^{11}\,z^4+378493992960\,a^{13}\,z^4+268435456\,a^{15}\,z^4+68398419340689408\,z^4-4718592\,a^{10}\,z^2-3648061440\,a^8\,z^2-286939938816\,a^6\,z^2-15023392948224\,a\,z^2-16752587046912\,a^2\,z^2-4764645457920\,a^4\,z^2-40022212608\,a^7\,z^2-11043392716800\,a^3\,z^2-1405437345792\,a^5\,z^2-196116480\,a^9\,z^2-6049461436416\,z^2+5375877120\,a^4\,z+839890944\,a^5\,z+47542173696\,a^2\,z+72880128\,a^6\,z+2709504\,a^7\,z+20640890880\,a^3\,z+60827369472\,a\,z+33351008256\,z-74027520\,a-29249424\,a^2-4706424\,a^3-155601\,a^4+20736\,a^5-68345856,z,k\right)\,\left(-\frac{270336\,a^9+8871936\,a^8+129245184\,a^7+1096949760\,a^6+5977620480\,a^5+21688418304\,a^4+52393672704\,a^3+81260445696\,a^2+73421291520\,a+29444014080}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}+\mathrm{root}\left(15003759578972160\,a^8\,z^4+54537151127224320\,a^7\,z^4+153980418717122560\,a^6\,z^4+334927734494986240\,a^5\,z^4+551152193655275520\,a^4\,z^4+664192984106926080\,a^3\,z^4+553362212027105280\,a^2\,z^4+5999532441600\,a^{12}\,z^4+527875908304896\,a^{10}\,z^4+284993413919539200\,a\,z^4+3206246773555200\,a^9\,z^4+14763950080\,a^{14}\,z^4+65757291479040\,a^{11}\,z^4+378493992960\,a^{13}\,z^4+268435456\,a^{15}\,z^4+68398419340689408\,z^4-4718592\,a^{10}\,z^2-3648061440\,a^8\,z^2-286939938816\,a^6\,z^2-15023392948224\,a\,z^2-16752587046912\,a^2\,z^2-4764645457920\,a^4\,z^2-40022212608\,a^7\,z^2-11043392716800\,a^3\,z^2-1405437345792\,a^5\,z^2-196116480\,a^9\,z^2-6049461436416\,z^2+5375877120\,a^4\,z+839890944\,a^5\,z+47542173696\,a^2\,z+72880128\,a^6\,z+2709504\,a^7\,z+20640890880\,a^3\,z+60827369472\,a\,z+33351008256\,z-74027520\,a-29249424\,a^2-4706424\,a^3-155601\,a^4+20736\,a^5-68345856,z,k\right)\,\left(\frac{1048576\,a^{11}+41943040\,a^{10}+761266176\,a^9+8275361792\,a^8+59862155264\,a^7+302556119040\,a^6+1090200272896\,a^5+2800520003584\,a^4+5025917042688\,a^3+6001143054336\,a^2+4290672328704\,a+1391569403904}{16384\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}-\frac{x\,\left(131072\,a^{11}+5242880\,a^{10}+95158272\,a^9+1034420224\,a^8+7482769408\,a^7+37819514880\,a^6+136275034112\,a^5+350065000448\,a^4+628239630336\,a^3+750142881792\,a^2+536334041088\,a+173946175488\right)}{2048\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}\right)+\frac{x\,\left(12288\,a^9+393216\,a^8+5578752\,a^7+46055424\,a^6+243806208\,a^5+858243072\,a^4+2008940544\,a^3+3015180288\,a^2+2632974336\,a+1019215872\right)}{2048\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}\right)-\frac{x\,\left(2376\,a^6+53712\,a^5+505800\,a^4+2539872\,a^3+7173504\,a^2+10805760\,a+6782976\right)}{2048\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}\right)-\frac{x\,\left(108\,a^4+918\,a^3+1971\,a^2-1539\,a-6372\right)}{2048\,\left(a^{10}+36\,a^9+582\,a^8+5564\,a^7+34833\,a^6+149208\,a^5+442864\,a^4+899328\,a^3+1195776\,a^2+940032\,a+331776\right)}\right)\,\mathrm{root}\left(15003759578972160\,a^8\,z^4+54537151127224320\,a^7\,z^4+153980418717122560\,a^6\,z^4+334927734494986240\,a^5\,z^4+551152193655275520\,a^4\,z^4+664192984106926080\,a^3\,z^4+553362212027105280\,a^2\,z^4+5999532441600\,a^{12}\,z^4+527875908304896\,a^{10}\,z^4+284993413919539200\,a\,z^4+3206246773555200\,a^9\,z^4+14763950080\,a^{14}\,z^4+65757291479040\,a^{11}\,z^4+378493992960\,a^{13}\,z^4+268435456\,a^{15}\,z^4+68398419340689408\,z^4-4718592\,a^{10}\,z^2-3648061440\,a^8\,z^2-286939938816\,a^6\,z^2-15023392948224\,a\,z^2-16752587046912\,a^2\,z^2-4764645457920\,a^4\,z^2-40022212608\,a^7\,z^2-11043392716800\,a^3\,z^2-1405437345792\,a^5\,z^2-196116480\,a^9\,z^2-6049461436416\,z^2+5375877120\,a^4\,z+839890944\,a^5\,z+47542173696\,a^2\,z+72880128\,a^6\,z+2709504\,a^7\,z+20640890880\,a^3\,z+60827369472\,a\,z+33351008256\,z-74027520\,a-29249424\,a^2-4706424\,a^3-155601\,a^4+20736\,a^5-68345856,z,k\right)\right)+\frac{\frac{3\,\left(3\,a^3+7\,a^2-12\,a\right)}{32\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}-\frac{3\,x^7\,\left(2\,a+7\right)}{16\,\left(a^4+14\,a^3+73\,a^2+168\,a+144\right)}+\frac{x^2\,\left(5\,a^3-26\,a^2+140\,a+1008\right)}{16\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}+\frac{3\,x\,\left(-3\,a^3+17\,a^2+40\,a-192\right)}{32\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}+\frac{3\,x^6\,\left(-a^2+8\,a+40\right)}{16\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}-\frac{x^5\,\left(-29\,a^2+127\,a+792\right)}{32\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}-\frac{x^3\,\left(-62\,a^2+103\,a+1104\right)}{16\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}+\frac{x^4\,\left(-73\,a^2+227\,a+1668\right)}{32\,\left(a^2+6\,a+9\right)\,\left(a^2+8\,a+16\right)}}{16\,a\,x-x^2\,\left(16\,a-64\right)-x^4\,\left(2\,a-128\right)+x^3\,\left(8\,a-128\right)+a^2-80\,x^5+32\,x^6-8\,x^7+x^8}","Not used",1,"symsum(log(root(15003759578972160*a^8*z^4 + 54537151127224320*a^7*z^4 + 153980418717122560*a^6*z^4 + 334927734494986240*a^5*z^4 + 551152193655275520*a^4*z^4 + 664192984106926080*a^3*z^4 + 553362212027105280*a^2*z^4 + 5999532441600*a^12*z^4 + 527875908304896*a^10*z^4 + 284993413919539200*a*z^4 + 3206246773555200*a^9*z^4 + 14763950080*a^14*z^4 + 65757291479040*a^11*z^4 + 378493992960*a^13*z^4 + 268435456*a^15*z^4 + 68398419340689408*z^4 - 4718592*a^10*z^2 - 3648061440*a^8*z^2 - 286939938816*a^6*z^2 - 15023392948224*a*z^2 - 16752587046912*a^2*z^2 - 4764645457920*a^4*z^2 - 40022212608*a^7*z^2 - 11043392716800*a^3*z^2 - 1405437345792*a^5*z^2 - 196116480*a^9*z^2 - 6049461436416*z^2 + 5375877120*a^4*z + 839890944*a^5*z + 47542173696*a^2*z + 72880128*a^6*z + 2709504*a^7*z + 20640890880*a^3*z + 60827369472*a*z + 33351008256*z - 74027520*a - 29249424*a^2 - 4706424*a^3 - 155601*a^4 + 20736*a^5 - 68345856, z, k)*((242823168*a + 170044416*a^2 + 63509760*a^3 + 13340736*a^4 + 1494144*a^5 + 69696*a^6 + 144506880)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + root(15003759578972160*a^8*z^4 + 54537151127224320*a^7*z^4 + 153980418717122560*a^6*z^4 + 334927734494986240*a^5*z^4 + 551152193655275520*a^4*z^4 + 664192984106926080*a^3*z^4 + 553362212027105280*a^2*z^4 + 5999532441600*a^12*z^4 + 527875908304896*a^10*z^4 + 284993413919539200*a*z^4 + 3206246773555200*a^9*z^4 + 14763950080*a^14*z^4 + 65757291479040*a^11*z^4 + 378493992960*a^13*z^4 + 268435456*a^15*z^4 + 68398419340689408*z^4 - 4718592*a^10*z^2 - 3648061440*a^8*z^2 - 286939938816*a^6*z^2 - 15023392948224*a*z^2 - 16752587046912*a^2*z^2 - 4764645457920*a^4*z^2 - 40022212608*a^7*z^2 - 11043392716800*a^3*z^2 - 1405437345792*a^5*z^2 - 196116480*a^9*z^2 - 6049461436416*z^2 + 5375877120*a^4*z + 839890944*a^5*z + 47542173696*a^2*z + 72880128*a^6*z + 2709504*a^7*z + 20640890880*a^3*z + 60827369472*a*z + 33351008256*z - 74027520*a - 29249424*a^2 - 4706424*a^3 - 155601*a^4 + 20736*a^5 - 68345856, z, k)*(root(15003759578972160*a^8*z^4 + 54537151127224320*a^7*z^4 + 153980418717122560*a^6*z^4 + 334927734494986240*a^5*z^4 + 551152193655275520*a^4*z^4 + 664192984106926080*a^3*z^4 + 553362212027105280*a^2*z^4 + 5999532441600*a^12*z^4 + 527875908304896*a^10*z^4 + 284993413919539200*a*z^4 + 3206246773555200*a^9*z^4 + 14763950080*a^14*z^4 + 65757291479040*a^11*z^4 + 378493992960*a^13*z^4 + 268435456*a^15*z^4 + 68398419340689408*z^4 - 4718592*a^10*z^2 - 3648061440*a^8*z^2 - 286939938816*a^6*z^2 - 15023392948224*a*z^2 - 16752587046912*a^2*z^2 - 4764645457920*a^4*z^2 - 40022212608*a^7*z^2 - 11043392716800*a^3*z^2 - 1405437345792*a^5*z^2 - 196116480*a^9*z^2 - 6049461436416*z^2 + 5375877120*a^4*z + 839890944*a^5*z + 47542173696*a^2*z + 72880128*a^6*z + 2709504*a^7*z + 20640890880*a^3*z + 60827369472*a*z + 33351008256*z - 74027520*a - 29249424*a^2 - 4706424*a^3 - 155601*a^4 + 20736*a^5 - 68345856, z, k)*((4290672328704*a + 6001143054336*a^2 + 5025917042688*a^3 + 2800520003584*a^4 + 1090200272896*a^5 + 302556119040*a^6 + 59862155264*a^7 + 8275361792*a^8 + 761266176*a^9 + 41943040*a^10 + 1048576*a^11 + 1391569403904)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(536334041088*a + 750142881792*a^2 + 628239630336*a^3 + 350065000448*a^4 + 136275034112*a^5 + 37819514880*a^6 + 7482769408*a^7 + 1034420224*a^8 + 95158272*a^9 + 5242880*a^10 + 131072*a^11 + 173946175488))/(2048*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776))) - (73421291520*a + 81260445696*a^2 + 52393672704*a^3 + 21688418304*a^4 + 5977620480*a^5 + 1096949760*a^6 + 129245184*a^7 + 8871936*a^8 + 270336*a^9 + 29444014080)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) + (x*(2632974336*a + 3015180288*a^2 + 2008940544*a^3 + 858243072*a^4 + 243806208*a^5 + 46055424*a^6 + 5578752*a^7 + 393216*a^8 + 12288*a^9 + 1019215872))/(2048*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776))) - (x*(10805760*a + 7173504*a^2 + 2539872*a^3 + 505800*a^4 + 53712*a^5 + 2376*a^6 + 6782976))/(2048*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776))) - (133812*a + 56187*a^2 + 10098*a^3 + 648*a^4 + 115776)/(16384*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)) - (x*(1971*a^2 - 1539*a + 918*a^3 + 108*a^4 - 6372))/(2048*(940032*a + 1195776*a^2 + 899328*a^3 + 442864*a^4 + 149208*a^5 + 34833*a^6 + 5564*a^7 + 582*a^8 + 36*a^9 + a^10 + 331776)))*root(15003759578972160*a^8*z^4 + 54537151127224320*a^7*z^4 + 153980418717122560*a^6*z^4 + 334927734494986240*a^5*z^4 + 551152193655275520*a^4*z^4 + 664192984106926080*a^3*z^4 + 553362212027105280*a^2*z^4 + 5999532441600*a^12*z^4 + 527875908304896*a^10*z^4 + 284993413919539200*a*z^4 + 3206246773555200*a^9*z^4 + 14763950080*a^14*z^4 + 65757291479040*a^11*z^4 + 378493992960*a^13*z^4 + 268435456*a^15*z^4 + 68398419340689408*z^4 - 4718592*a^10*z^2 - 3648061440*a^8*z^2 - 286939938816*a^6*z^2 - 15023392948224*a*z^2 - 16752587046912*a^2*z^2 - 4764645457920*a^4*z^2 - 40022212608*a^7*z^2 - 11043392716800*a^3*z^2 - 1405437345792*a^5*z^2 - 196116480*a^9*z^2 - 6049461436416*z^2 + 5375877120*a^4*z + 839890944*a^5*z + 47542173696*a^2*z + 72880128*a^6*z + 2709504*a^7*z + 20640890880*a^3*z + 60827369472*a*z + 33351008256*z - 74027520*a - 29249424*a^2 - 4706424*a^3 - 155601*a^4 + 20736*a^5 - 68345856, z, k), k, 1, 4) + ((3*(7*a^2 - 12*a + 3*a^3))/(32*(6*a + a^2 + 9)*(8*a + a^2 + 16)) - (3*x^7*(2*a + 7))/(16*(168*a + 73*a^2 + 14*a^3 + a^4 + 144)) + (x^2*(140*a - 26*a^2 + 5*a^3 + 1008))/(16*(6*a + a^2 + 9)*(8*a + a^2 + 16)) + (3*x*(40*a + 17*a^2 - 3*a^3 - 192))/(32*(6*a + a^2 + 9)*(8*a + a^2 + 16)) + (3*x^6*(8*a - a^2 + 40))/(16*(6*a + a^2 + 9)*(8*a + a^2 + 16)) - (x^5*(127*a - 29*a^2 + 792))/(32*(6*a + a^2 + 9)*(8*a + a^2 + 16)) - (x^3*(103*a - 62*a^2 + 1104))/(16*(6*a + a^2 + 9)*(8*a + a^2 + 16)) + (x^4*(227*a - 73*a^2 + 1668))/(32*(6*a + a^2 + 9)*(8*a + a^2 + 16)))/(16*a*x - x^2*(16*a - 64) - x^4*(2*a - 128) + x^3*(8*a - 128) + a^2 - 80*x^5 + 32*x^6 - 8*x^7 + x^8)","B"
130,1,178,210,2.294451,"\text{Not used}","int(x^2*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^4,x)","x^{14}\,\left(\frac{24\,a}{7}-\frac{3712}{7}\right)-x^{15}\,\left(\frac{4\,a}{15}-\frac{512}{3}\right)+x^{12}\,\left(\frac{280\,a}{3}-\frac{7424}{3}\right)-x^{13}\,\left(\frac{288\,a}{13}-\frac{16768}{13}\right)-x^8\,\left(60\,a^2-1152\,a+2048\right)-x^{10}\,\left(\frac{24\,a^2}{5}-\frac{3072\,a}{5}+\frac{21504}{5}\right)+x^9\,\left(\frac{64\,a^2}{3}-\frac{8960\,a}{9}+\frac{32768}{9}\right)+x^{11}\,\left(\frac{6\,a^2}{11}-\frac{3072\,a}{11}+\frac{40960}{11}\right)-x^7\,\left(\frac{4\,a^3}{7}-\frac{768\,a^2}{7}+\frac{6144\,a}{7}-\frac{4096}{7}\right)-42\,x^{16}+\frac{128\,x^{17}}{17}-\frac{8\,x^{18}}{9}+\frac{x^{19}}{19}+8\,a^3\,x^4+\frac{a^4\,x^3}{3}+\frac{8\,a\,x^6\,\left(a^2-48\,a+128\right)}{3}-\frac{32\,a^2\,x^5\,\left(a-12\right)}{5}","Not used",1,"x^14*((24*a)/7 - 3712/7) - x^15*((4*a)/15 - 512/3) + x^12*((280*a)/3 - 7424/3) - x^13*((288*a)/13 - 16768/13) - x^8*(60*a^2 - 1152*a + 2048) - x^10*((24*a^2)/5 - (3072*a)/5 + 21504/5) + x^9*((64*a^2)/3 - (8960*a)/9 + 32768/9) + x^11*((6*a^2)/11 - (3072*a)/11 + 40960/11) - x^7*((6144*a)/7 - (768*a^2)/7 + (4*a^3)/7 - 4096/7) - 42*x^16 + (128*x^17)/17 - (8*x^18)/9 + x^19/19 + 8*a^3*x^4 + (a^4*x^3)/3 + (8*a*x^6*(a^2 - 48*a + 128))/3 - (32*a^2*x^5*(a - 12))/5","B"
131,1,113,138,0.092299,"\text{Not used}","int(x^2*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^3,x)","x^{11}\,\left(\frac{3\,a}{11}-\frac{768}{11}\right)-x^{10}\,\left(\frac{12\,a}{5}-\frac{768}{5}\right)-x^8\,\left(30\,a-288\right)+x^9\,\left(\frac{32\,a}{3}-\frac{2240}{9}\right)+x^6\,\left(2\,a^2-64\,a+\frac{256}{3}\right)-x^7\,\left(\frac{3\,a^2}{7}-\frac{384\,a}{7}+\frac{1536}{7}\right)+\frac{70\,x^{12}}{3}-\frac{72\,x^{13}}{13}+\frac{6\,x^{14}}{7}-\frac{x^{15}}{15}+6\,a^2\,x^4+\frac{a^3\,x^3}{3}-\frac{24\,a\,x^5\,\left(a-8\right)}{5}","Not used",1,"x^11*((3*a)/11 - 768/11) - x^10*((12*a)/5 - 768/5) - x^8*(30*a - 288) + x^9*((32*a)/3 - 2240/9) + x^6*(2*a^2 - 64*a + 256/3) - x^7*((3*a^2)/7 - (384*a)/7 + 1536/7) + (70*x^12)/3 - (72*x^13)/13 + (6*x^14)/7 - x^15/15 + 6*a^2*x^4 + (a^3*x^3)/3 - (24*a*x^5*(a - 8))/5","B"
132,1,64,79,0.042319,"\text{Not used}","int(x^2*(a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","x^6\,\left(\frac{4\,a}{3}-\frac{64}{3}\right)-x^5\,\left(\frac{16\,a}{5}-\frac{64}{5}\right)-x^7\,\left(\frac{2\,a}{7}-\frac{128}{7}\right)+4\,a\,x^4-10\,x^8+\frac{32\,x^9}{9}-\frac{4\,x^{10}}{5}+\frac{x^{11}}{11}+\frac{a^2\,x^3}{3}","Not used",1,"x^6*((4*a)/3 - 64/3) - x^5*((16*a)/5 - 64/5) - x^7*((2*a)/7 - 128/7) + 4*a*x^4 - 10*x^8 + (32*x^9)/9 - (4*x^10)/5 + x^11/11 + (a^2*x^3)/3","B"
133,1,27,35,0.021161,"\text{Not used}","int(x^2*(a + 8*x - 8*x^2 + 4*x^3 - x^4),x)","-\frac{x^7}{7}+\frac{2\,x^6}{3}-\frac{8\,x^5}{5}+2\,x^4+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + 2*x^4 - (8*x^5)/5 + (2*x^6)/3 - x^7/7","B"
134,1,878,99,2.783310,"\text{Not used}","int(x^2/(a + 8*x - 8*x^2 + 4*x^3 - x^4),x)","\sum _{k=1}^4\ln\left(64\,\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)-a-8\,x+\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)\,a\,20-{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^2\,a\,48+{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^3\,a\,64+{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^2\,x\,128-{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^3\,x\,256-192\,{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^2+256\,{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^3-\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)\,a\,x\,4+{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^2\,a\,x\,32-{\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)}^3\,a\,x\,64\right)\,\mathrm{root}\left(2816\,a^2\,z^4+256\,a^3\,z^4+10240\,a\,z^4+12288\,z^4-160\,a^2\,z^2-1152\,a\,z^2-2048\,z^2+32\,a^2\,z+256\,a\,z+512\,z-a^2,z,k\right)","Not used",1,"symsum(log(64*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k) - a - 8*x + 20*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)*a - 48*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^2*a + 64*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^3*a + 128*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^2*x - 256*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^3*x - 192*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^2 + 256*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^3 - 4*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)*a*x + 32*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^2*a*x - 64*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k)^3*a*x)*root(2816*a^2*z^4 + 256*a^3*z^4 + 10240*a*z^4 + 12288*z^4 - 160*a^2*z^2 - 1152*a*z^2 - 2048*z^2 + 32*a^2*z + 256*a*z + 512*z - a^2, z, k), k, 1, 4)","B"
135,1,1218,225,2.845597,"\text{Not used}","int(x^2/(a + 8*x - 8*x^2 + 4*x^3 - x^4)^2,x)","\left(\sum _{k=1}^4\ln\left(-\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-24215552\,a^2\,z^2-8986624\,a^3\,z^2-1878016\,a^4\,z^2-209408\,a^5\,z^2-9728\,a^6\,z^2-34865152\,a\,z^2-20971520\,z^2+237568\,a^2\,z+53248\,a^3\,z+5888\,a^4\,z+256\,a^5\,z+524288\,a\,z+458752\,z+1792\,a+1024\,a^2+144\,a^3-a^4,z,k\right)\,\left(\frac{144\,a^4+2064\,a^3+11328\,a^2+28160\,a+26624}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-24215552\,a^2\,z^2-8986624\,a^3\,z^2-1878016\,a^4\,z^2-209408\,a^5\,z^2-9728\,a^6\,z^2-34865152\,a\,z^2-20971520\,z^2+237568\,a^2\,z+53248\,a^3\,z+5888\,a^4\,z+256\,a^5\,z+524288\,a\,z+458752\,z+1792\,a+1024\,a^2+144\,a^3-a^4,z,k\right)\,\left(\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-24215552\,a^2\,z^2-8986624\,a^3\,z^2-1878016\,a^4\,z^2-209408\,a^5\,z^2-9728\,a^6\,z^2-34865152\,a\,z^2-20971520\,z^2+237568\,a^2\,z+53248\,a^3\,z+5888\,a^4\,z+256\,a^5\,z+524288\,a\,z+458752\,z+1792\,a+1024\,a^2+144\,a^3-a^4,z,k\right)\,\left(\frac{4096\,a^6+90112\,a^5+823296\,a^4+3997696\,a^3+10878976\,a^2+15728640\,a+9437184}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}-\frac{x\,\left(512\,a^6+11264\,a^5+102912\,a^4+499712\,a^3+1359872\,a^2+1966080\,a+1179648\right)}{8\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)-\frac{1536\,a^5+28160\,a^4+205824\,a^3+749568\,a^2+1359872\,a+983040}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\frac{x\,\left(128\,a^5+2304\,a^4+16512\,a^3+58880\,a^2+104448\,a+73728\right)}{8\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)+\frac{x\,\left(-2\,a^4-2\,a^3+104\,a^2+448\,a+512\right)}{8\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)-\frac{-a^3+12\,a^2+48\,a}{64\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}+\frac{x\,\left(7\,a^2+40\,a+56\right)}{8\,\left(a^5+18\,a^4+129\,a^3+460\,a^2+816\,a+576\right)}\right)\,\mathrm{root}\left(12952010752\,a^3\,z^4+31653888\,a^7\,z^4+2162688\,a^8\,z^4+65536\,a^9\,z^4+18119393280\,a\,z^4+20082327552\,a^2\,z^4+1473773568\,a^5\,z^4+5357174784\,a^4\,z^4+269680640\,a^6\,z^4+7247757312\,z^4-24215552\,a^2\,z^2-8986624\,a^3\,z^2-1878016\,a^4\,z^2-209408\,a^5\,z^2-9728\,a^6\,z^2-34865152\,a\,z^2-20971520\,z^2+237568\,a^2\,z+53248\,a^3\,z+5888\,a^4\,z+256\,a^5\,z+524288\,a\,z+458752\,z+1792\,a+1024\,a^2+144\,a^3-a^4,z,k\right)\right)+\frac{\frac{x^3}{4\,\left(a+3\right)}+\frac{a}{4\,\left(a+3\right)\,\left(a+4\right)}-\frac{x^2\,\left(a+6\right)}{4\,\left(a+3\right)\,\left(a+4\right)}+\frac{x\,\left(a+8\right)}{4\,\left(a+3\right)\,\left(a+4\right)}}{-x^4+4\,x^3-8\,x^2+8\,x+a}","Not used",1,"symsum(log((x*(40*a + 7*a^2 + 56))/(8*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (48*a + 12*a^2 - a^3)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 24215552*a^2*z^2 - 8986624*a^3*z^2 - 1878016*a^4*z^2 - 209408*a^5*z^2 - 9728*a^6*z^2 - 34865152*a*z^2 - 20971520*z^2 + 237568*a^2*z + 53248*a^3*z + 5888*a^4*z + 256*a^5*z + 524288*a*z + 458752*z + 1792*a + 1024*a^2 + 144*a^3 - a^4, z, k)*((28160*a + 11328*a^2 + 2064*a^3 + 144*a^4 + 26624)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 24215552*a^2*z^2 - 8986624*a^3*z^2 - 1878016*a^4*z^2 - 209408*a^5*z^2 - 9728*a^6*z^2 - 34865152*a*z^2 - 20971520*z^2 + 237568*a^2*z + 53248*a^3*z + 5888*a^4*z + 256*a^5*z + 524288*a*z + 458752*z + 1792*a + 1024*a^2 + 144*a^3 - a^4, z, k)*(root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 24215552*a^2*z^2 - 8986624*a^3*z^2 - 1878016*a^4*z^2 - 209408*a^5*z^2 - 9728*a^6*z^2 - 34865152*a*z^2 - 20971520*z^2 + 237568*a^2*z + 53248*a^3*z + 5888*a^4*z + 256*a^5*z + 524288*a*z + 458752*z + 1792*a + 1024*a^2 + 144*a^3 - a^4, z, k)*((15728640*a + 10878976*a^2 + 3997696*a^3 + 823296*a^4 + 90112*a^5 + 4096*a^6 + 9437184)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) - (x*(1966080*a + 1359872*a^2 + 499712*a^3 + 102912*a^4 + 11264*a^5 + 512*a^6 + 1179648))/(8*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))) - (1359872*a + 749568*a^2 + 205824*a^3 + 28160*a^4 + 1536*a^5 + 983040)/(64*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576)) + (x*(104448*a + 58880*a^2 + 16512*a^3 + 2304*a^4 + 128*a^5 + 73728))/(8*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))) + (x*(448*a + 104*a^2 - 2*a^3 - 2*a^4 + 512))/(8*(816*a + 460*a^2 + 129*a^3 + 18*a^4 + a^5 + 576))))*root(12952010752*a^3*z^4 + 31653888*a^7*z^4 + 2162688*a^8*z^4 + 65536*a^9*z^4 + 18119393280*a*z^4 + 20082327552*a^2*z^4 + 1473773568*a^5*z^4 + 5357174784*a^4*z^4 + 269680640*a^6*z^4 + 7247757312*z^4 - 24215552*a^2*z^2 - 8986624*a^3*z^2 - 1878016*a^4*z^2 - 209408*a^5*z^2 - 9728*a^6*z^2 - 34865152*a*z^2 - 20971520*z^2 + 237568*a^2*z + 53248*a^3*z + 5888*a^4*z + 256*a^5*z + 524288*a*z + 458752*z + 1792*a + 1024*a^2 + 144*a^3 - a^4, z, k), k, 1, 4) + (x^3/(4*(a + 3)) + a/(4*(a + 3)*(a + 4)) - (x^2*(a + 6))/(4*(a + 3)*(a + 4)) + (x*(a + 8))/(4*(a + 3)*(a + 4)))/(a + 8*x - 8*x^2 + 4*x^3 - x^4)","B"
136,1,1563,545,3.175364,"\text{Not used}","int(x^4/(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3),x)","\sum _{k=1}^6\ln\left(-a^8\,b^3\,\left(-b+c\,x+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^2\,a^3\,c^4\,6561+\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)\,b^4\,x\,2-\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)\,a\,b^2\,c\,198-{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^2\,a^2\,b^3\,c^2\,8991-{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^3\,a^3\,b^4\,c^3\,19683+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^4\,a^3\,b^8\,c^2\,104976-{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^5\,a^4\,b^9\,c^3\,8503056+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^5\,a^5\,b^6\,c^5\,4782969+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^2\,a\,b^5\,c\,x\,108+\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)\,a\,b\,c^2\,x\,108+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^2\,a^2\,b^2\,c^3\,x\,1458-{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^3\,a^2\,b^6\,c^2\,x\,2916+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^4\,a^3\,b^7\,c^3\,x\,78732+{\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)}^5\,a^4\,b^8\,c^4\,x\,1062882\right)\,19683\right)\,\mathrm{root}\left(918330048\,a^5\,b^9\,c^4\,z^6-387420489\,a^6\,b^6\,c^6\,z^6+1594323\,a^4\,b^4\,c^4\,z^4+1023516\,a^3\,b^3\,c^3\,z^3-531441\,a^4\,c^5\,z^3+32805\,a^2\,b^2\,c^2\,z^2+324\,a\,b\,c\,z+1,z,k\right)","Not used",1,"symsum(log(-19683*a^8*b^3*(c*x - b + 6561*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^2*a^3*c^4 + 2*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)*b^4*x - 198*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)*a*b^2*c - 8991*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^2*a^2*b^3*c^2 - 19683*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^3*a^3*b^4*c^3 + 104976*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^4*a^3*b^8*c^2 - 8503056*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^5*a^4*b^9*c^3 + 4782969*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^5*a^5*b^6*c^5 + 108*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^2*a*b^5*c*x + 108*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)*a*b*c^2*x + 1458*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^2*a^2*b^2*c^3*x - 2916*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^3*a^2*b^6*c^2*x + 78732*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^4*a^3*b^7*c^3*x + 1062882*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k)^5*a^4*b^8*c^4*x))*root(918330048*a^5*b^9*c^4*z^6 - 387420489*a^6*b^6*c^6*z^6 + 1594323*a^4*b^4*c^4*z^4 + 1023516*a^3*b^3*c^3*z^3 - 531441*a^4*c^5*z^3 + 32805*a^2*b^2*c^2*z^2 + 324*a*b*c*z + 1, z, k), k, 1, 6)","B"
137,1,1354,487,3.104142,"\text{Not used}","int(x^3/(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3),x)","\sum _{k=1}^6\ln\left(-729\,a^5\,b^7\,x+{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^2\,a^9\,b^6\,c^3\,4782969+{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^3\,a^{10}\,b^8\,c^3\,129140163+{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^4\,a^{11}\,b^{10}\,c^3\,1549681956+{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^5\,a^{12}\,b^{12}\,c^3\,167365651248-{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^5\,a^{13}\,b^9\,c^5\,94143178827+\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)\,a^7\,b^7\,c\,98415+\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)\,a^6\,b^9\,x\,4374-{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^2\,a^8\,b^9\,c\,2125764-\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)\,a^7\,b^6\,c^2\,x\,59049-{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^2\,a^8\,b^8\,c^2\,x\,531441-{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^4\,a^{10}\,b^{12}\,c^2\,x\,688747536+{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^4\,a^{11}\,b^9\,c^4\,x\,1162261467-{\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)}^5\,a^{12}\,b^{11}\,c^4\,x\,20920706406\right)\,\mathrm{root}\left(10460353203\,a^9\,b^3\,c^6\,z^6-24794911296\,a^8\,b^6\,c^4\,z^6-14348907\,a^6\,b^2\,c^4\,z^4+314928\,a^4\,b^3\,c^2\,z^3-531441\,a^5\,c^4\,z^3-19683\,a^3\,b\,c^2\,z^2-1,z,k\right)","Not used",1,"symsum(log(4782969*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^2*a^9*b^6*c^3 - 729*a^5*b^7*x + 129140163*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^3*a^10*b^8*c^3 + 1549681956*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^4*a^11*b^10*c^3 + 167365651248*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^5*a^12*b^12*c^3 - 94143178827*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^5*a^13*b^9*c^5 + 98415*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)*a^7*b^7*c + 4374*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)*a^6*b^9*x - 2125764*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^2*a^8*b^9*c - 59049*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)*a^7*b^6*c^2*x - 531441*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^2*a^8*b^8*c^2*x - 688747536*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^4*a^10*b^12*c^2*x + 1162261467*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^4*a^11*b^9*c^4*x - 20920706406*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k)^5*a^12*b^11*c^4*x)*root(10460353203*a^9*b^3*c^6*z^6 - 24794911296*a^8*b^6*c^4*z^6 - 14348907*a^6*b^2*c^4*z^4 + 314928*a^4*b^3*c^2*z^3 - 531441*a^5*c^4*z^3 - 19683*a^3*b*c^2*z^2 - 1, z, k), k, 1, 6)","B"
138,1,825,334,3.342494,"\text{Not used}","int(x^2/(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3),x)","\sum _{k=1}^6\ln\left(-a^3\,b^9\,\left(-{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^2\,a^4\,c^2\,13122-{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^3\,a^6\,c^3\,1062882+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^4\,a^8\,c^4\,43046721+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^5\,a^{10}\,c^5\,3486784401+\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)\,a^2\,c\,81+\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)\,a\,b^2\,x\,18-{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^4\,a^7\,b^3\,c^2\,25509168-{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^5\,a^9\,b^3\,c^3\,6198727824+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^2\,a^3\,b^2\,c\,x\,5832+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^3\,a^5\,b^2\,c^2\,x\,708588+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^4\,a^7\,b^2\,c^3\,x\,38263752+{\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)}^5\,a^9\,b^2\,c^4\,x\,774840978+1\right)\,27\right)\,\mathrm{root}\left(669462604992\,a^{11}\,b^3\,c^4\,z^6-282429536481\,a^{12}\,c^6\,z^6+129140163\,a^8\,c^4\,z^4-19683\,a^4\,c^2\,z^2+1,z,k\right)","Not used",1,"symsum(log(-27*a^3*b^9*(43046721*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^4*a^8*c^4 - 1062882*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^3*a^6*c^3 - 13122*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^2*a^4*c^2 + 3486784401*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^5*a^10*c^5 + 81*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)*a^2*c + 18*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)*a*b^2*x - 25509168*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^4*a^7*b^3*c^2 - 6198727824*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^5*a^9*b^3*c^3 + 5832*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^2*a^3*b^2*c*x + 708588*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^3*a^5*b^2*c^2*x + 38263752*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^4*a^7*b^2*c^3*x + 774840978*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k)^5*a^9*b^2*c^4*x + 1))*root(669462604992*a^11*b^3*c^4*z^6 - 282429536481*a^12*c^6*z^6 + 129140163*a^8*c^4*z^4 - 19683*a^4*c^2*z^2 + 1, z, k), k, 1, 6)","B"
139,1,1057,469,2.903351,"\text{Not used}","int(x/(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3),x)","\sum _{k=1}^6\ln\left(b^{12}\,x+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^4\,a^{10}\,b^{11}\,c^3\,1033121304+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^5\,a^{12}\,b^{12}\,c^3\,167365651248-{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^5\,a^{13}\,b^9\,c^5\,94143178827+\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)\,a^2\,b^{13}\,x\,54+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^2\,a^5\,b^{11}\,c^2\,x\,177147+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^3\,a^7\,b^{12}\,c^2\,x\,17006112-{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^3\,a^8\,b^9\,c^4\,x\,14348907+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^4\,a^9\,b^{13}\,c^2\,x\,229582512+{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^4\,a^{10}\,b^{10}\,c^4\,x\,387420489-{\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)}^5\,a^{12}\,b^{11}\,c^4\,x\,20920706406\right)\,\mathrm{root}\left(18075490334784\,a^{14}\,b^3\,c^4\,z^6-7625597484987\,a^{15}\,c^6\,z^6+1162261467\,a^{10}\,b\,c^4\,z^4+8503056\,a^7\,b^3\,c^2\,z^3-14348907\,a^8\,c^4\,z^3+177147\,a^5\,b^2\,c^2\,z^2+b^3,z,k\right)","Not used",1,"symsum(log(b^12*x + 1033121304*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^4*a^10*b^11*c^3 + 167365651248*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^5*a^12*b^12*c^3 - 94143178827*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^5*a^13*b^9*c^5 + 54*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)*a^2*b^13*x + 177147*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^2*a^5*b^11*c^2*x + 17006112*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^3*a^7*b^12*c^2*x - 14348907*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^3*a^8*b^9*c^4*x + 229582512*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^4*a^9*b^13*c^2*x + 387420489*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^4*a^10*b^10*c^4*x - 20920706406*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k)^5*a^12*b^11*c^4*x)*root(18075490334784*a^14*b^3*c^4*z^6 - 7625597484987*a^15*c^6*z^6 + 1162261467*a^10*b*c^4*z^4 + 8503056*a^7*b^3*c^2*z^3 - 14348907*a^8*c^4*z^3 + 177147*a^5*b^2*c^2*z^2 + b^3, z, k), k, 1, 6)","B"
140,1,1394,522,0.711132,"\text{Not used}","int(1/(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3),x)","\sum _{k=1}^6\ln\left(-\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)\,b^{15}\,x\,6+{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^2\,a^4\,b^{12}\,c^2\,6561-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^3\,a^7\,b^{11}\,c^3\,4782969-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^4\,a^9\,b^{13}\,c^2\,229582512-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^4\,a^{10}\,b^{10}\,c^4\,387420489+{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^5\,a^{12}\,b^{12}\,c^3\,167365651248-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^5\,a^{13}\,b^9\,c^5\,94143178827+{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^2\,a^3\,b^{14}\,c\,x\,14580-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^3\,a^6\,b^{13}\,c^2\,x\,10628820+{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^4\,a^9\,b^{12}\,c^3\,x\,2238429492-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^4\,a^{10}\,b^9\,c^5\,x\,1162261467-{\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)}^5\,a^{12}\,b^{11}\,c^4\,x\,20920706406\right)\,\mathrm{root}\left(488038239039168\,a^{17}\,b^3\,c^4\,z^6-205891132094649\,a^{18}\,c^6\,z^6+10460353203\,a^{12}\,b^2\,c^4\,z^4-746143164\,a^9\,b^3\,c^3\,z^3+387420489\,a^{10}\,c^5\,z^3+2657205\,a^6\,b^4\,c^2\,z^2-2916\,a^3\,b^5\,c\,z+b^6,z,k\right)","Not used",1,"symsum(log(6561*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^2*a^4*b^12*c^2 - 6*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)*b^15*x - 4782969*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^3*a^7*b^11*c^3 - 229582512*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^4*a^9*b^13*c^2 - 387420489*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^4*a^10*b^10*c^4 + 167365651248*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^5*a^12*b^12*c^3 - 94143178827*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^5*a^13*b^9*c^5 + 14580*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^2*a^3*b^14*c*x - 10628820*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^3*a^6*b^13*c^2*x + 2238429492*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^4*a^9*b^12*c^3*x - 1162261467*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^4*a^10*b^9*c^5*x - 20920706406*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k)^5*a^12*b^11*c^4*x)*root(488038239039168*a^17*b^3*c^4*z^6 - 205891132094649*a^18*c^6*z^6 + 10460353203*a^12*b^2*c^4*z^4 - 746143164*a^9*b^3*c^3*z^3 + 387420489*a^10*c^5*z^3 + 2657205*a^6*b^4*c^2*z^2 - 2916*a^3*b^5*c*z + b^6, z, k), k, 1, 6)","B"
141,1,4002,563,2.545976,"\text{Not used}","int(1/(x*(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3)),x)","\frac{\ln\left(x\right)}{27\,a^3}+\left(\sum _{k=1}^6\ln\left(\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)\,b^{18}\,x\,7-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^2\,a^3\,b^{18}\,x\,162+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^3\,a^8\,b^{13}\,c^3\,86093442+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^4\,a^{11}\,b^{13}\,c^3\,34867844010-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^4\,a^{12}\,b^{10}\,c^5\,10460353203+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^5\,a^{14}\,b^{13}\,c^3\,1506290861232-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^5\,a^{15}\,b^{10}\,c^5\,564859072962-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^6\,a^{17}\,b^{13}\,c^3\,67783088755440+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^6\,a^{18}\,b^{10}\,c^5\,22876792454961+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^2\,a^4\,b^{16}\,c\,17496-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^3\,a^7\,b^{16}\,c\,472392-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^2\,a^4\,b^{15}\,c^2\,x\,39366+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^3\,a^7\,b^{15}\,c^2\,x\,51372630+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^3\,a^8\,b^{12}\,c^4\,x\,71744535-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^4\,a^{10}\,b^{15}\,c^2\,x\,2008846980+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^4\,a^{11}\,b^{12}\,c^4\,x\,108477736920-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^4\,a^{12}\,b^9\,c^6\,x\,41841412812+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^5\,a^{13}\,b^{15}\,c^2\,x\,18596183472+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^5\,a^{14}\,b^{12}\,c^4\,x\,16129864639026-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^5\,a^{15}\,b^9\,c^6\,x\,6778308875544+{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^6\,a^{17}\,b^{12}\,c^4\,x\,645633920395566-{\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)}^6\,a^{18}\,b^9\,c^6\,x\,274521509459532\right)\,\mathrm{root}\left(13177032454057536\,a^{20}\,b^3\,c^4\,z^6-5559060566555523\,a^{21}\,c^6\,z^6+488038239039168\,a^{17}\,b^3\,c^4\,z^5-205891132094649\,a^{18}\,c^6\,z^5+6119306623755\,a^{14}\,b^3\,c^4\,z^4-2541865828329\,a^{15}\,c^6\,z^4+27506854719\,a^{11}\,b^3\,c^4\,z^3-229582512\,a^{10}\,b^6\,c^2\,z^3-10460353203\,a^{12}\,c^6\,z^3+14348907\,a^8\,b^3\,c^4\,z^2+10097379\,a^7\,b^6\,c^2\,z^2-6561\,a^4\,b^6\,c^2\,z+b^9,z,k\right)\right)","Not used",1,"log(x)/(27*a^3) + symsum(log(7*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)*b^18*x - 162*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^2*a^3*b^18*x + 86093442*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^3*a^8*b^13*c^3 + 34867844010*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^4*a^11*b^13*c^3 - 10460353203*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^4*a^12*b^10*c^5 + 1506290861232*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^5*a^14*b^13*c^3 - 564859072962*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^5*a^15*b^10*c^5 - 67783088755440*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^6*a^17*b^13*c^3 + 22876792454961*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^6*a^18*b^10*c^5 + 17496*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^2*a^4*b^16*c - 472392*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^3*a^7*b^16*c - 39366*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^2*a^4*b^15*c^2*x + 51372630*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^3*a^7*b^15*c^2*x + 71744535*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^3*a^8*b^12*c^4*x - 2008846980*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^4*a^10*b^15*c^2*x + 108477736920*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^4*a^11*b^12*c^4*x - 41841412812*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^4*a^12*b^9*c^6*x + 18596183472*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^5*a^13*b^15*c^2*x + 16129864639026*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^5*a^14*b^12*c^4*x - 6778308875544*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^5*a^15*b^9*c^6*x + 645633920395566*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^6*a^17*b^12*c^4*x - 274521509459532*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k)^6*a^18*b^9*c^6*x)*root(13177032454057536*a^20*b^3*c^4*z^6 - 5559060566555523*a^21*c^6*z^6 + 488038239039168*a^17*b^3*c^4*z^5 - 205891132094649*a^18*c^6*z^5 + 6119306623755*a^14*b^3*c^4*z^4 - 2541865828329*a^15*c^6*z^4 + 27506854719*a^11*b^3*c^4*z^3 - 229582512*a^10*b^6*c^2*z^3 - 10460353203*a^12*c^6*z^3 + 14348907*a^8*b^3*c^4*z^2 + 10097379*a^7*b^6*c^2*z^2 - 6561*a^4*b^6*c^2*z + b^9, z, k), k, 1, 6)","B"
142,1,2663,645,2.721128,"\text{Not used}","int(1/(x^2*(27*a^3 + b^3*x^6 + 27*a^2*b*x^2 + 9*a*b^2*x^4 + 27*a^2*c*x^3)),x)","\left(\sum _{k=1}^6\ln\left(-\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\,a^{23}\,b^9\,\left(2\,b^{10}\,x+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^4\,a^{17}\,c^5\,2541865828329-45\,a\,b^8\,c+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^2\,a^{10}\,c^6\,x\,387420489-{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^2\,a^9\,b^4\,c^3\,401769396-{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^3\,a^{12}\,b^5\,c^2\,2066242608+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^3\,a^{13}\,b^2\,c^4\,6973568802-{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^4\,a^{16}\,b^3\,c^3\,4518872583696-\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\,a^5\,b^6\,c^2\,328050-\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\,a^6\,b^3\,c^4\,177147+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^2\,a^{10}\,b\,c^5\,387420489+\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\,a^4\,b^8\,c\,x\,23328+\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\,a^5\,b^5\,c^3\,x\,196830-{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^3\,a^{13}\,b\,c^5\,x\,20920706406+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^2\,a^8\,b^6\,c^2\,x\,74401740-{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^2\,a^9\,b^3\,c^4\,x\,746143164+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^3\,a^{12}\,b^4\,c^3\,x\,55788550416+{\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)}^4\,a^{16}\,b^2\,c^4\,x\,564859072962\right)\,282429536481\right)\,\mathrm{root}\left(355779876259553472\,a^{23}\,b^3\,c^4\,z^6-150094635296999121\,a^{24}\,c^6\,z^6-45753584909922\,a^{17}\,b\,c^6\,z^4+109300230618147\,a^{16}\,b^4\,c^4\,z^4-753145430616\,a^{13}\,b^3\,c^5\,z^3+207657382104\,a^{12}\,b^6\,c^3\,z^3+282429536481\,a^{14}\,c^7\,z^3+258280326\,a^9\,b^5\,c^4\,z^2+100442349\,a^8\,b^8\,c^2\,z^2+17496\,a^4\,b^{10}\,c\,z+b^{12},z,k\right)\right)-\frac{1}{27\,a^3\,x}","Not used",1,"symsum(log(-282429536481*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)*a^23*b^9*(2*b^10*x + 2541865828329*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^4*a^17*c^5 - 45*a*b^8*c + 387420489*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^2*a^10*c^6*x - 401769396*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^2*a^9*b^4*c^3 - 2066242608*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^3*a^12*b^5*c^2 + 6973568802*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^3*a^13*b^2*c^4 - 4518872583696*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^4*a^16*b^3*c^3 - 328050*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)*a^5*b^6*c^2 - 177147*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)*a^6*b^3*c^4 + 387420489*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^2*a^10*b*c^5 + 23328*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)*a^4*b^8*c*x + 196830*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)*a^5*b^5*c^3*x - 20920706406*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^3*a^13*b*c^5*x + 74401740*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^2*a^8*b^6*c^2*x - 746143164*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^2*a^9*b^3*c^4*x + 55788550416*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^3*a^12*b^4*c^3*x + 564859072962*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k)^4*a^16*b^2*c^4*x))*root(355779876259553472*a^23*b^3*c^4*z^6 - 150094635296999121*a^24*c^6*z^6 - 45753584909922*a^17*b*c^6*z^4 + 109300230618147*a^16*b^4*c^4*z^4 - 753145430616*a^13*b^3*c^5*z^3 + 207657382104*a^12*b^6*c^3*z^3 + 282429536481*a^14*c^7*z^3 + 258280326*a^9*b^5*c^4*z^2 + 100442349*a^8*b^8*c^2*z^2 + 17496*a^4*b^10*c*z + b^12, z, k), k, 1, 6) - 1/(27*a^3*x)","B"
143,1,427,395,0.651046,"\text{Not used}","int(x^5/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(\frac{362797056\,\left(19236852\,x\,\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)-19131876\,x-6482268\,x\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^2+742851\,x\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^3-4130\,x\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^4+x\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^5-154944576\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^2+17047422\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^3+27054\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^4+9\,{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^5+465542316\,\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)-465542316\right)}{{\mathrm{root}\left(z^6+4374\,z^5+6626610\,z^4+2646786132\,z^3-24163559388\,z^2+72662865048\,z-72662865048,z,k\right)}^5}\right)\,\mathrm{root}\left(z^6-z^5+\frac{421\,z^4}{1266}-\frac{100853\,z^3}{2768742}-\frac{505\,z^2}{5537484}-\frac{z}{16612452}-\frac{1}{72662865048},z,k\right)","Not used",1,"symsum(log((362797056*(19236852*x*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k) - 19131876*x - 6482268*x*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^2 + 742851*x*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^3 - 4130*x*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^4 + x*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^5 - 154944576*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^2 + 17047422*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^3 + 27054*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^4 + 9*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^5 + 465542316*root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k) - 465542316))/root(z^6 + 4374*z^5 + 6626610*z^4 + 2646786132*z^3 - 24163559388*z^2 + 72662865048*z - 72662865048, z, k)^5)*root(z^6 - z^5 + (421*z^4)/1266 - (100853*z^3)/2768742 - (505*z^2)/5537484 - z/16612452 - 1/72662865048, z, k), k, 1, 6)","B"
144,1,390,377,2.704167,"\text{Not used}","int(x^4/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(-\frac{5038848\,\left(1377495072\,x+17006112\,x\,\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)-104976\,x\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^2+158112\,x\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^3+1946\,x\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^4+3\,x\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^5-4251528\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^2+3927852\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^3-1188\,{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^4-{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^5+7558272\,\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)+33519046752\right)}{{\mathrm{root}\left(z^6+1944\,z^5+1180980\,z^4-1845163152\,z^3+2066242608\,z^2-15695178850368,z,k\right)}^5}\right)\,\mathrm{root}\left(z^6-\frac{z^4}{7596}+\frac{217\,z^3}{1845828}-\frac{5\,z^2}{66449808}-\frac{z}{8073651672}-\frac{1}{15695178850368},z,k\right)","Not used",1,"symsum(log(-(5038848*(1377495072*x + 17006112*x*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k) - 104976*x*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^2 + 158112*x*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^3 + 1946*x*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^4 + 3*x*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^5 - 4251528*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^2 + 3927852*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^3 - 1188*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^4 - root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^5 + 7558272*root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k) + 33519046752))/root(z^6 + 1944*z^5 + 1180980*z^4 - 1845163152*z^3 + 2066242608*z^2 - 15695178850368, z, k)^5)*root(z^6 - z^4/7596 + (217*z^3)/1845828 - (5*z^2)/66449808 - z/8073651672 - 1/15695178850368, z, k), k, 1, 6)","B"
145,1,276,361,0.522397,"\text{Not used}","int(x^3/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(-\frac{23328\,\left(297538935552\,x-7992872640\,x\,\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)+52488\,x\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^3+2904\,x\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^4+x\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^5-153055008\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^2-2764368\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^3-1620\,{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^4-3673320192\,\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)+7240114098432\right)}{{\mathrm{root}\left(z^6+1417176\,z^4+1332145440\,z^3+74384733888\,z^2-3390158631679488,z,k\right)}^5}\right)\,\mathrm{root}\left(z^6-\frac{z^4}{45576}-\frac{235\,z^3}{598048272}-\frac{z^2}{2392193088}-\frac{1}{3390158631679488},z,k\right)","Not used",1,"symsum(log(-(23328*(297538935552*x - 7992872640*x*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k) + 52488*x*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^3 + 2904*x*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^4 + x*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^5 - 153055008*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^2 - 2764368*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^3 - 1620*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^4 - 3673320192*root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k) + 7240114098432))/root(z^6 + 1417176*z^4 + 1332145440*z^3 + 74384733888*z^2 - 3390158631679488, z, k)^5)*root(z^6 - z^4/45576 - (235*z^3)/598048272 - z^2/2392193088 - 1/3390158631679488, z, k), k, 1, 6)","B"
146,1,247,248,2.679215,"\text{Not used}","int(x^2/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(-\frac{216\,\left(32134205039616\,x-1836660096\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^2-1889568\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^3+972\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^4+{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^5+132239526912\,x\,\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)+204073344\,x\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^2+139968\,x\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^3+36\,x\,{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^4+863230245120\,\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)+781932322630656\right)}{{\mathrm{root}\left(z^6-2834352\,z^4+2677850419968\,z^2-732274264442769408,z,k\right)}^5}\right)\,\mathrm{root}\left(z^6-\frac{z^4}{273456}+\frac{z^2}{258356853504}-\frac{1}{732274264442769408},z,k\right)","Not used",1,"symsum(log(-(216*(32134205039616*x - 1836660096*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^2 - 1889568*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^3 + 972*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^4 + root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^5 + 132239526912*x*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k) + 204073344*x*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^2 + 139968*x*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^3 + 36*x*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^4 + 863230245120*root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k) + 781932322630656))/root(z^6 - 2834352*z^4 + 2677850419968*z^2 - 732274264442769408, z, k)^5)*root(z^6 - z^4/273456 + z^2/258356853504 - 1/732274264442769408, z, k), k, 1, 6)","B"
147,1,176,361,2.422588,"\text{Not used}","int(x/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(x+\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)\,\left(216\,x+\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)\,\left(51018336\,x-\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)\,\left(277947894528\,x-\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)\,\left(33192121254912\,x-\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)\,\left(6940988288557056\,x+168897381688221696\right)+28563737812992\right)\right)\right)\right)\right)\,\mathrm{root}\left(z^6-\frac{z^4}{1640736}+\frac{235\,z^3}{129178426752}-\frac{z^2}{3100282242048}-\frac{1}{158171241119638192128},z,k\right)","Not used",1,"symsum(log(x + root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k)*(216*x + root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k)*(51018336*x - root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k)*(277947894528*x - root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k)*(33192121254912*x - root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k)*(6940988288557056*x + 168897381688221696) + 28563737812992)))))*root(z^6 - z^4/1640736 + (235*z^3)/129178426752 - z^2/3100282242048 - 1/158171241119638192128, z, k), k, 1, 6)","B"
148,1,306,377,2.674937,"\text{Not used}","int(1/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216),x)","\sum _{k=1}^6\ln\left(-\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)\,x\,6+{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^2\,x\,349920-{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^3\,x\,6122200320-{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^4\,x\,258263796059136-{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^5\,x\,6940988288557056+944784\,{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^2-16529940864\,{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^3-33192121254912\,{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^4-168897381688221696\,{\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)}^5\right)\,\mathrm{root}\left(z^6-\frac{z^4}{9844416}-\frac{217\,z^3}{86118951168}-\frac{5\,z^2}{111610160713728}+\frac{z}{488182842961846272}-\frac{1}{34164988081841849499648},z,k\right)","Not used",1,"symsum(log(349920*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^2*x - 6*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)*x - 6122200320*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^3*x - 258263796059136*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^4*x - 6940988288557056*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^5*x + 944784*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^2 - 16529940864*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^3 - 33192121254912*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^4 - 168897381688221696*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k)^5)*root(z^6 - z^4/9844416 - (217*z^3)/86118951168 - (5*z^2)/111610160713728 + z/488182842961846272 - 1/34164988081841849499648, z, k), k, 1, 6)","B"
149,1,432,415,2.328133,"\text{Not used}","int(1/(x*(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)),x)","\frac{\ln\left(x\right)}{216}+\left(\sum _{k=1}^6\ln\left(\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)\,x\,7-{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^2\,x\,5670000+{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^3\,x\,1546875947520-{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^4\,x\,106961147905609728-{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^5\,x\,140511995854134018048-{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^6\,x\,45607290567387619000320+839808\,{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^2+594896472576\,{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^3-8483430130458624\,{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^4-3831425535283494912\,{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^5+1217393817906599165952\,{\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)}^6\right)\,\mathrm{root}\left(z^6+\frac{z^5}{216}+\frac{421\,z^4}{59066496}+\frac{100853\,z^3}{27902540178432}-\frac{505\,z^2}{12053897357082624}+\frac{z}{7810925487389540352}-\frac{1}{7379637425677839491923968},z,k\right)\right)","Not used",1,"log(x)/216 + symsum(log(7*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)*x - 5670000*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^2*x + 1546875947520*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^3*x - 106961147905609728*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^4*x - 140511995854134018048*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^5*x - 45607290567387619000320*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^6*x + 839808*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^2 + 594896472576*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^3 - 8483430130458624*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^4 - 3831425535283494912*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^5 + 1217393817906599165952*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k)^6)*root(z^6 + z^5/216 + (421*z^4)/59066496 + (100853*z^3)/27902540178432 - (505*z^2)/12053897357082624 + z/7810925487389540352 - 1/7379637425677839491923968, z, k), k, 1, 6)","B"
150,1,340,448,0.291740,"\text{Not used}","int(1/(x^2*(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)),x)","\left(\sum _{k=1}^6\ln\left(\frac{5\,\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}{8}-\frac{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)\,x}{216}-{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^2\,x\,396252-{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^3\,x\,598229670528+{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^4\,x\,82120746212352-{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^5\,x\,6940988288557056+2344464\,{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^2-210297580992\,{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^3-10535082310656\,{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^4-168897381688221696\,{\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)}^5\right)\,\mathrm{root}\left(z^6+\frac{281\,z^4}{118132992}-\frac{50435\,z^3}{9300846726144}-\frac{331\,z^2}{48215589428330496}-\frac{z}{1898054893435658305536}-\frac{1}{1594001683946413330255577088},z,k\right)\right)-\frac{1}{216\,x}","Not used",1,"symsum(log((5*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k))/8 - (root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)*x)/216 - 396252*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^2*x - 598229670528*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^3*x + 82120746212352*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^4*x - 6940988288557056*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^5*x + 2344464*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^2 - 210297580992*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^3 - 10535082310656*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^4 - 168897381688221696*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k)^5)*root(z^6 + (281*z^4)/118132992 - (50435*z^3)/9300846726144 - (331*z^2)/48215589428330496 - z/1898054893435658305536 - 1/1594001683946413330255577088, z, k), k, 1, 6) - 1/(216*x)","B"
151,1,388,1064,2.341199,"\text{Not used}","int(x^8/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(-\frac{3848128\,\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}{3606201}-\frac{275536\,x}{638827688547}+\frac{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)\,x\,239491904}{876306843}-\frac{{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^2\,x\,152363520}{44521}-\frac{{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^3\,x\,698075283456}{44521}+\frac{{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^4\,x\,130789789876224}{211}-{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^5\,x\,6940988288557056-\frac{4264220928\,{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^2}{44521}-\frac{5086414725120\,{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^3}{44521}+\frac{243585208571904\,{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)}^5-\frac{48160}{23660284761}\right)\,\mathrm{root}\left(z^6+\frac{326\,z^4}{554702231619}+\frac{8113597\,z^3}{14149992416343982992}+\frac{5171\,z^2}{509399726988383387712}+\frac{505\,z}{13368686435083133627113728}+\frac{4513}{85256017052964187415123360664576},z,k\right)\right)-\frac{\frac{x^5}{3798}+\frac{203\,x^4}{34182}+\frac{215\,x^3}{633}+\frac{665\,x^2}{5697}-\frac{2\,x}{211}+\frac{146}{633}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((239491904*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)*x)/876306843 - (275536*x)/638827688547 - (3848128*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k))/3606201 - (152363520*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^2*x)/44521 - (698075283456*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^3*x)/44521 + (130789789876224*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^4*x)/211 - 6940988288557056*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^5*x - (4264220928*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^2)/44521 - (5086414725120*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^3)/44521 + (243585208571904*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^4)/211 - 168897381688221696*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k)^5 - 48160/23660284761)*root(z^6 + (326*z^4)/554702231619 + (8113597*z^3)/14149992416343982992 + (5171*z^2)/509399726988383387712 + (505*z)/13368686435083133627113728 + 4513/85256017052964187415123360664576, z, k), k, 1, 6) - ((665*x^2)/5697 - (2*x)/211 + (215*x^3)/633 + (203*x^4)/34182 + x^5/3798 + 146/633)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
152,1,387,1005,2.303690,"\text{Not used}","int(x^7/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(\frac{8336932\,\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}{97367427}-\frac{480227\,x}{851770251396}-\frac{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)\,x\,759164282}{7886761587}-\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^2\,x\,207565888}{400689}-\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^3\,x\,108430970112}{44521}-\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^4\,x\,147138513610752}{211}-{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^5\,x\,6940988288557056-\frac{1156135728\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^2}{44521}+\frac{6458021903232\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^3}{44521}-\frac{102226052063232\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)}^5+\frac{2207561}{7665932262564}\right)\,\mathrm{root}\left(z^6-\frac{292589\,z^4}{319508485412544}+\frac{11805253\,z^3}{75466626220501242624}-\frac{2479189\,z^2}{2640728184707779481899008}-\frac{1989787\,z}{311864717157619341253309046784}-\frac{7197829}{589289589870088463413332668913549312},z,k\right)\right)+\frac{\frac{73\,x^5}{68364}-\frac{x^4}{3798}+\frac{227\,x^3}{17091}+\frac{4\,x^2}{633}-\frac{8\,x}{5697}+\frac{2}{211}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((8336932*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k))/97367427 - (480227*x)/851770251396 - (759164282*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)*x)/7886761587 - (207565888*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^2*x)/400689 - (108430970112*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^3*x)/44521 - (147138513610752*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^4*x)/211 - 6940988288557056*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^5*x - (1156135728*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^2)/44521 + (6458021903232*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^3)/44521 - (102226052063232*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^4)/211 - 168897381688221696*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k)^5 + 2207561/7665932262564)*root(z^6 - (292589*z^4)/319508485412544 + (11805253*z^3)/75466626220501242624 - (2479189*z^2)/2640728184707779481899008 - (1989787*z)/311864717157619341253309046784 - 7197829/589289589870088463413332668913549312, z, k), k, 1, 6) + ((4*x^2)/633 - (8*x)/5697 + (227*x^3)/17091 - x^4/3798 + (73*x^5)/68364 + 2/211)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
153,1,388,677,2.328346,"\text{Not used}","int(x^6/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(\frac{7028852\,\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}{2628920529}-\frac{1980083\,x}{310470256633842}-\frac{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)\,x\,235710556}{70980854283}-\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^2\,x\,6628544}{44521}-\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^3\,x\,141776759808}{44521}+\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^4\,x\,183701926508544}{211}-{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^5\,x\,6940988288557056+\frac{100886752\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^2}{133563}+\frac{1715052538368\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^3}{44521}+\frac{115004308571136\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)}^5-\frac{265}{5749449196923}\right)\,\mathrm{root}\left(z^6-\frac{60865\,z^4}{239631364059408}-\frac{15496909\,z^3}{3056398361930300326272}-\frac{168169\,z^2}{5941638415592503834272768}-\frac{3971\,z}{311864717157619341253309046784}-\frac{880007}{3977704731623097128039995515166457856},z,k\right)\right)-\frac{\frac{x^5}{22788}-\frac{73\,x^4}{68364}+\frac{2\,x^3}{1899}+\frac{16\,x^2}{17091}-\frac{x}{633}+\frac{8}{5697}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((7028852*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k))/2628920529 - (1980083*x)/310470256633842 - (235710556*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)*x)/70980854283 - (6628544*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^2*x)/44521 - (141776759808*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^3*x)/44521 + (183701926508544*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^4*x)/211 - 6940988288557056*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^5*x + (100886752*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^2)/133563 + (1715052538368*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^3)/44521 + (115004308571136*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^4)/211 - 168897381688221696*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k)^5 - 265/5749449196923)*root(z^6 - (60865*z^4)/239631364059408 - (15496909*z^3)/3056398361930300326272 - (168169*z^2)/5941638415592503834272768 - (3971*z)/311864717157619341253309046784 - 880007/3977704731623097128039995515166457856, z, k), k, 1, 6) - ((16*x^2)/17091 - x/633 + (2*x^3)/1899 - (73*x^4)/68364 + x^5/22788 + 8/5697)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
154,1,299,682,0.314405,"\text{Not used}","int(x^5/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(-\frac{4477969\,\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}{189282278088}+\frac{6305\,x}{4967524106141472}-\frac{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)\,x\,16340881}{5110621508376}-\frac{{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^2\,x\,43348696}{10818603}-\frac{{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^3\,x\,65333687616}{44521}-\frac{{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^4\,x\,40024496812032}{211}-{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^5\,x\,6940988288557056+\frac{5943884\,{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^2}{400689}+\frac{224442467136\,{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^3}{44521}-\frac{137087493272064\,{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)}^5-\frac{13082875}{178830867821092992}\right)\,\mathrm{root}\left(z^6-\frac{183899\,z^4}{3834101824950528}+\frac{6209\,z^2}{14083883651774823903461376}-\frac{39753025}{27493895104978847349012449000830556700672},z,k\right)\right)+\frac{\frac{x^5}{153819}-\frac{x^4}{22788}+\frac{x^3}{844}+\frac{2\,x^2}{1899}-\frac{4\,x}{17091}+\frac{1}{633}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((6305*x)/4967524106141472 - (4477969*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k))/189282278088 - (16340881*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)*x)/5110621508376 - (43348696*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^2*x)/10818603 - (65333687616*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^3*x)/44521 - (40024496812032*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^4*x)/211 - 6940988288557056*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^5*x + (5943884*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^2)/400689 + (224442467136*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^3)/44521 - (137087493272064*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^4)/211 - 168897381688221696*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k)^5 - 13082875/178830867821092992)*root(z^6 - (183899*z^4)/3834101824950528 + (6209*z^2)/14083883651774823903461376 - 39753025/27493895104978847349012449000830556700672, z, k), k, 1, 6) + ((2*x^2)/1899 - (4*x)/17091 + x^3/844 - x^4/22788 + x^5/153819 + 1/633)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
155,1,388,850,2.420041,"\text{Not used}","int(x^4/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(\frac{24389\,\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}{851770251396}+\frac{288041\,x}{804738905194918464}-\frac{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)\,x\,1090723}{22997796787692}+\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^2\,x\,5850124}{3606201}-\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^3\,x\,64554687936}{44521}+\frac{{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^4\,x\,31535589897216}{211}-{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^5\,x\,6940988288557056-\frac{1697552\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^2}{10818603}+\frac{12229983936\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^3}{44521}+\frac{25367949245952\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)}^5-\frac{971}{22353858477636624}\right)\,\mathrm{root}\left(z^6-\frac{60865\,z^4}{8626729106138688}+\frac{15496909\,z^3}{660182046176944870474752}-\frac{168169\,z^2}{7700363386607884969217507328}+\frac{3971\,z}{2425060040617647997585731147792384}-\frac{880007}{185583791958607219605834030755606257729536},z,k\right)\right)-\frac{\frac{x^5}{136728}-\frac{x^4}{153819}+\frac{x^3}{5697}+\frac{x^2}{844}-\frac{x}{3798}+\frac{4}{17091}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((24389*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k))/851770251396 + (288041*x)/804738905194918464 - (1090723*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)*x)/22997796787692 + (5850124*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^2*x)/3606201 - (64554687936*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^3*x)/44521 + (31535589897216*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^4*x)/211 - 6940988288557056*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^5*x - (1697552*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^2)/10818603 + (12229983936*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^3)/44521 + (25367949245952*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^4)/211 - 168897381688221696*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k)^5 - 971/22353858477636624)*root(z^6 - (60865*z^4)/8626729106138688 + (15496909*z^3)/660182046176944870474752 - (168169*z^2)/7700363386607884969217507328 + (3971*z)/2425060040617647997585731147792384 - 880007/185583791958607219605834030755606257729536, z, k), k, 1, 6) - (x^2/844 - x/3798 + x^3/5697 - x^4/153819 + x^5/136728 + 4/17091)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
156,1,387,873,2.415840,"\text{Not used}","int(x^3/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(-\frac{14059\,\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}{30663729050256}+\frac{11\,x}{603554178896188848}-\frac{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)\,x\,5658601}{6623365474855296}+\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^2\,x\,6603523}{584204562}-\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^3\,x\,1762321104}{44521}-\frac{{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^4\,x\,59633904436992}{211}-{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^5\,x\,6940988288557056+\frac{166697\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^2}{43274412}+\frac{639193032\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^3}{44521}-\frac{9815247601920\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)}^5+\frac{661}{28970600587017064704}\right)\,\mathrm{root}\left(z^6-\frac{292589\,z^4}{414082997094657024}-\frac{11805253\,z^3}{3520970912943705975865344}-\frac{2479189\,z^2}{4435409310686141742269284220928}+\frac{1989787\,z}{18857266875842830829226645405233577984}-\frac{7197829}{1282755170017893101915524820582750453426552832},z,k\right)\right)+\frac{\frac{x^5}{922914}-\frac{x^4}{136728}+\frac{4\,x^3}{153819}+\frac{x^2}{5697}-\frac{73\,x}{68364}+\frac{1}{3798}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((11*x)/603554178896188848 - (14059*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k))/30663729050256 - (5658601*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)*x)/6623365474855296 + (6603523*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^2*x)/584204562 - (1762321104*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^3*x)/44521 - (59633904436992*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^4*x)/211 - 6940988288557056*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^5*x + (166697*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^2)/43274412 + (639193032*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^3)/44521 - (9815247601920*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^4)/211 - 168897381688221696*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k)^5 + 661/28970600587017064704)*root(z^6 - (292589*z^4)/414082997094657024 - (11805253*z^3)/3520970912943705975865344 - (2479189*z^2)/4435409310686141742269284220928 + (1989787*z)/18857266875842830829226645405233577984 - 7197829/1282755170017893101915524820582750453426552832, z, k), k, 1, 6) + (x^2/5697 - (73*x)/68364 + (4*x^3)/153819 - x^4/136728 + x^5/922914 + 1/3798)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
157,1,388,986,2.478271,"\text{Not used}","int(x^2/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)^2,x)","\left(\sum _{k=1}^6\ln\left(-\frac{8147\,\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}{1103894245809216}+\frac{4897\,x}{18772949180387057928192}-\frac{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)\,x\,1197643}{29805144636848832}+\frac{{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^2\,x\,452809}{194734854}-\frac{{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^3\,x\,1241776944}{44521}+\frac{{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^4\,x\,452407928832}{211}-{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^5\,x\,6940988288557056+\frac{114155\,{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^2}{292102281}-\frac{163984176\,{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^3}{44521}+\frac{94281884928\,{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^4}{211}-168897381688221696\,{\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)}^5+\frac{1}{19313733724678043136}\right)\,\mathrm{root}\left(z^6+\frac{163\,z^4}{12940093659208032}-\frac{8113597\,z^3}{142599321974220092022546432}+\frac{5171\,z^2}{1108852327671535435567321055232}-\frac{505\,z}{6285755625280943609742215135077859328}+\frac{4513}{8658597397620778437929792538933565560629231616},z,k\right)\right)-\frac{\frac{x^5}{820368}-\frac{x^4}{922914}+\frac{x^3}{34182}+\frac{227\,x^2}{615276}-\frac{x}{22788}+\frac{73}{68364}}{x^6+18\,x^4+324\,x^3+108\,x^2+216}","Not used",1,"symsum(log((4897*x)/18772949180387057928192 - (8147*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k))/1103894245809216 - (1197643*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)*x)/29805144636848832 + (452809*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^2*x)/194734854 - (1241776944*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^3*x)/44521 + (452407928832*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^4*x)/211 - 6940988288557056*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^5*x + (114155*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^2)/292102281 - (163984176*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^3)/44521 + (94281884928*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^4)/211 - 168897381688221696*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k)^5 + 1/19313733724678043136)*root(z^6 + (163*z^4)/12940093659208032 - (8113597*z^3)/142599321974220092022546432 + (5171*z^2)/1108852327671535435567321055232 - (505*z)/6285755625280943609742215135077859328 + 4513/8658597397620778437929792538933565560629231616, z, k), k, 1, 6) - ((227*x^2)/615276 - x/22788 + x^3/34182 - x^4/922914 + x^5/820368 + 73/68364)/(108*x^2 + 324*x^3 + 18*x^4 + x^6 + 216)","B"
158,1,21,25,0.036795,"\text{Not used}","int((a^2*c + b^2*c*x^4 + b^2*d*x^5 + a^2*d*x + 2*a*b*c*x^2 + 2*a*b*d*x^3)/(c + d*x),x)","a^2\,x+\frac{2\,a\,b\,x^3}{3}+\frac{b^2\,x^5}{5}","Not used",1,"a^2*x + (b^2*x^5)/5 + (2*a*b*x^3)/3","B"
159,1,106,94,0.059432,"\text{Not used}","int((a^2*c + b^2*c*x^4 + b^2*d*x^5 + a^2*d*x + 2*a*b*c*x^2 + 2*a*b*d*x^3)/(c + d*x)^2,x)","x^2\,\left(\frac{b^2\,c^2}{2\,d^3}+\frac{a\,b}{d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(a^2\,d^4+2\,a\,b\,c^2\,d^2+b^2\,c^4\right)}{d^5}+\frac{b^2\,x^4}{4\,d}-\frac{b^2\,c\,x^3}{3\,d^2}-\frac{c\,x\,\left(\frac{b^2\,c^2}{d^3}+\frac{2\,a\,b}{d}\right)}{d}","Not used",1,"x^2*((b^2*c^2)/(2*d^3) + (a*b)/d) + (log(c + d*x)*(a^2*d^4 + b^2*c^4 + 2*a*b*c^2*d^2))/d^5 + (b^2*x^4)/(4*d) - (b^2*c*x^3)/(3*d^2) - (c*x*((b^2*c^2)/d^3 + (2*a*b)/d))/d","B"
160,1,154,15,2.224168,"\text{Not used}","int((b*x + c*x^2)^13*(b + 2*c*x),x)","\frac{b^{14}\,x^{14}}{14}+b^{13}\,c\,x^{15}+\frac{13\,b^{12}\,c^2\,x^{16}}{2}+26\,b^{11}\,c^3\,x^{17}+\frac{143\,b^{10}\,c^4\,x^{18}}{2}+143\,b^9\,c^5\,x^{19}+\frac{429\,b^8\,c^6\,x^{20}}{2}+\frac{1716\,b^7\,c^7\,x^{21}}{7}+\frac{429\,b^6\,c^8\,x^{22}}{2}+143\,b^5\,c^9\,x^{23}+\frac{143\,b^4\,c^{10}\,x^{24}}{2}+26\,b^3\,c^{11}\,x^{25}+\frac{13\,b^2\,c^{12}\,x^{26}}{2}+b\,c^{13}\,x^{27}+\frac{c^{14}\,x^{28}}{14}","Not used",1,"(b^14*x^14)/14 + (c^14*x^28)/14 + b^13*c*x^15 + b*c^13*x^27 + (13*b^12*c^2*x^16)/2 + 26*b^11*c^3*x^17 + (143*b^10*c^4*x^18)/2 + 143*b^9*c^5*x^19 + (429*b^8*c^6*x^20)/2 + (1716*b^7*c^7*x^21)/7 + (429*b^6*c^8*x^22)/2 + 143*b^5*c^9*x^23 + (143*b^4*c^10*x^24)/2 + 26*b^3*c^11*x^25 + (13*b^2*c^12*x^26)/2","B"
161,1,156,16,0.142533,"\text{Not used}","int(x^14*(b*x + c*x^3)^13*(b + 2*c*x^2),x)","\frac{b^{14}\,x^{28}}{28}+\frac{b^{13}\,c\,x^{30}}{2}+\frac{13\,b^{12}\,c^2\,x^{32}}{4}+13\,b^{11}\,c^3\,x^{34}+\frac{143\,b^{10}\,c^4\,x^{36}}{4}+\frac{143\,b^9\,c^5\,x^{38}}{2}+\frac{429\,b^8\,c^6\,x^{40}}{4}+\frac{858\,b^7\,c^7\,x^{42}}{7}+\frac{429\,b^6\,c^8\,x^{44}}{4}+\frac{143\,b^5\,c^9\,x^{46}}{2}+\frac{143\,b^4\,c^{10}\,x^{48}}{4}+13\,b^3\,c^{11}\,x^{50}+\frac{13\,b^2\,c^{12}\,x^{52}}{4}+\frac{b\,c^{13}\,x^{54}}{2}+\frac{c^{14}\,x^{56}}{28}","Not used",1,"(b^14*x^28)/28 + (c^14*x^56)/28 + (b^13*c*x^30)/2 + (b*c^13*x^54)/2 + (13*b^12*c^2*x^32)/4 + 13*b^11*c^3*x^34 + (143*b^10*c^4*x^36)/4 + (143*b^9*c^5*x^38)/2 + (429*b^8*c^6*x^40)/4 + (858*b^7*c^7*x^42)/7 + (429*b^6*c^8*x^44)/4 + (143*b^5*c^9*x^46)/2 + (143*b^4*c^10*x^48)/4 + 13*b^3*c^11*x^50 + (13*b^2*c^12*x^52)/4","B"
162,1,156,16,2.170966,"\text{Not used}","int(x^28*(b*x + c*x^4)^13*(b + 2*c*x^3),x)","\frac{b^{14}\,x^{42}}{42}+\frac{b^{13}\,c\,x^{45}}{3}+\frac{13\,b^{12}\,c^2\,x^{48}}{6}+\frac{26\,b^{11}\,c^3\,x^{51}}{3}+\frac{143\,b^{10}\,c^4\,x^{54}}{6}+\frac{143\,b^9\,c^5\,x^{57}}{3}+\frac{143\,b^8\,c^6\,x^{60}}{2}+\frac{572\,b^7\,c^7\,x^{63}}{7}+\frac{143\,b^6\,c^8\,x^{66}}{2}+\frac{143\,b^5\,c^9\,x^{69}}{3}+\frac{143\,b^4\,c^{10}\,x^{72}}{6}+\frac{26\,b^3\,c^{11}\,x^{75}}{3}+\frac{13\,b^2\,c^{12}\,x^{78}}{6}+\frac{b\,c^{13}\,x^{81}}{3}+\frac{c^{14}\,x^{84}}{42}","Not used",1,"(b^14*x^42)/42 + (c^14*x^84)/42 + (b^13*c*x^45)/3 + (b*c^13*x^81)/3 + (13*b^12*c^2*x^48)/6 + (26*b^11*c^3*x^51)/3 + (143*b^10*c^4*x^54)/6 + (143*b^9*c^5*x^57)/3 + (143*b^8*c^6*x^60)/2 + (572*b^7*c^7*x^63)/7 + (143*b^6*c^8*x^66)/2 + (143*b^5*c^9*x^69)/3 + (143*b^4*c^10*x^72)/6 + (26*b^3*c^11*x^75)/3 + (13*b^2*c^12*x^78)/6","B"
163,1,229,21,4.018504,"\text{Not used}","int(x^(14*n - 14)*(b*x + c*x^(n + 1))^13*(b + 2*c*x^n),x)","\frac{b^{14}\,x^{14\,n}}{14\,n}+\frac{c^{14}\,x^{28\,n}}{14\,n}+\frac{13\,b^{12}\,c^2\,x^{16\,n}}{2\,n}+\frac{26\,b^{11}\,c^3\,x^{17\,n}}{n}+\frac{143\,b^{10}\,c^4\,x^{18\,n}}{2\,n}+\frac{143\,b^9\,c^5\,x^{19\,n}}{n}+\frac{429\,b^8\,c^6\,x^{20\,n}}{2\,n}+\frac{1716\,b^7\,c^7\,x^{21\,n}}{7\,n}+\frac{429\,b^6\,c^8\,x^{22\,n}}{2\,n}+\frac{143\,b^5\,c^9\,x^{23\,n}}{n}+\frac{143\,b^4\,c^{10}\,x^{24\,n}}{2\,n}+\frac{26\,b^3\,c^{11}\,x^{25\,n}}{n}+\frac{13\,b^2\,c^{12}\,x^{26\,n}}{2\,n}+\frac{b^{13}\,c\,x^{15\,n}}{n}+\frac{b\,c^{13}\,x^{27\,n}}{n}","Not used",1,"(b^14*x^(14*n))/(14*n) + (c^14*x^(28*n))/(14*n) + (13*b^12*c^2*x^(16*n))/(2*n) + (26*b^11*c^3*x^(17*n))/n + (143*b^10*c^4*x^(18*n))/(2*n) + (143*b^9*c^5*x^(19*n))/n + (429*b^8*c^6*x^(20*n))/(2*n) + (1716*b^7*c^7*x^(21*n))/(7*n) + (429*b^6*c^8*x^(22*n))/(2*n) + (143*b^5*c^9*x^(23*n))/n + (143*b^4*c^10*x^(24*n))/(2*n) + (26*b^3*c^11*x^(25*n))/n + (13*b^2*c^12*x^(26*n))/(2*n) + (b^13*c*x^(15*n))/n + (b*c^13*x^(27*n))/n","B"
164,1,8,10,0.049728,"\text{Not used}","int((b + 2*c*x)/(b*x + c*x^2),x)","\ln\left(x\,\left(b+c\,x\right)\right)","Not used",1,"log(x*(b + c*x))","B"
165,1,13,15,2.081223,"\text{Not used}","int((b + 2*c*x^2)/(b*x + c*x^3),x)","\frac{\ln\left(c\,x^2+b\right)}{2}+\ln\left(x\right)","Not used",1,"log(b + c*x^2)/2 + log(x)","B"
166,1,13,15,0.059506,"\text{Not used}","int((b + 2*c*x^3)/(b*x + c*x^4),x)","\frac{\ln\left(c\,x^3+b\right)}{3}+\ln\left(x\right)","Not used",1,"log(b + c*x^3)/3 + log(x)","B"
167,0,-1,15,0.000000,"\text{Not used}","int((b + 2*c*x^n)/(b*x + c*x^(n + 1)),x)","\int \frac{b+2\,c\,x^n}{b\,x+c\,x^{n+1}} \,d x","Not used",1,"int((b + 2*c*x^n)/(b*x + c*x^(n + 1)), x)","F"
168,1,12,15,4.376619,"\text{Not used}","int((b + 2*c*x)/(b*x + c*x^2)^8,x)","-\frac{1}{7\,x^7\,{\left(b+c\,x\right)}^7}","Not used",1,"-1/(7*x^7*(b + c*x)^7)","B"
169,1,14,16,2.224722,"\text{Not used}","int((b + 2*c*x^2)/(x^7*(b*x + c*x^3)^8),x)","-\frac{1}{14\,x^{14}\,{\left(c\,x^2+b\right)}^7}","Not used",1,"-1/(14*x^14*(b + c*x^2)^7)","B"
170,1,14,16,7.219582,"\text{Not used}","int((b + 2*c*x^3)/(x^14*(b*x + c*x^4)^8),x)","-\frac{1}{21\,x^{21}\,{\left(c\,x^3+b\right)}^7}","Not used",1,"-1/(21*x^21*(b + c*x^3)^7)","B"
171,0,-1,21,0.000000,"\text{Not used}","int((x^(7 - 7*n)*(b + 2*c*x^n))/(b*x + c*x^(n + 1))^8,x)","\int \frac{x^{7-7\,n}\,\left(b+2\,c\,x^n\right)}{{\left(b\,x+c\,x^{n+1}\right)}^8} \,d x","Not used",1,"int((x^(7 - 7*n)*(b + 2*c*x^n))/(b*x + c*x^(n + 1))^8, x)","F"
172,1,23,19,2.095100,"\text{Not used}","int((b*x + c*x^2)^p*(b + 2*c*x),x)","\frac{x\,{\left(c\,x^2+b\,x\right)}^p\,\left(b+c\,x\right)}{p+1}","Not used",1,"(x*(b*x + c*x^2)^p*(b + c*x))/(p + 1)","B"
173,1,45,27,2.212901,"\text{Not used}","int(x^(p + 1)*(b*x + c*x^3)^p*(b + 2*c*x^2),x)","{\left(c\,x^3+b\,x\right)}^p\,\left(\frac{b\,x\,x^{p+1}}{2\,p+2}+\frac{c\,x^{p+1}\,x^3}{2\,p+2}\right)","Not used",1,"(b*x + c*x^3)^p*((b*x*x^(p + 1))/(2*p + 2) + (c*x^(p + 1)*x^3)/(2*p + 2))","B"
174,0,-1,27,0.000000,"\text{Not used}","int(b*x^(p + 1)*(b*x + c*x^3)^p + 2*c*x^(p + 3)*(b*x + c*x^3)^p,x)","\int b\,x^{p+1}\,{\left(c\,x^3+b\,x\right)}^p+2\,c\,x^{p+3}\,{\left(c\,x^3+b\,x\right)}^p \,d x","Not used",1,"int(b*x^(p + 1)*(b*x + c*x^3)^p + 2*c*x^(p + 3)*(b*x + c*x^3)^p, x)","F"
175,1,49,29,2.205197,"\text{Not used}","int(x^(2*p + 2)*(b*x + c*x^4)^p*(b + 2*c*x^3),x)","{\left(c\,x^4+b\,x\right)}^p\,\left(\frac{c\,x^{2\,p+2}\,x^4}{3\,p+3}+\frac{b\,x\,x^{2\,p+2}}{3\,p+3}\right)","Not used",1,"(b*x + c*x^4)^p*((c*x^(2*p + 2)*x^4)/(3*p + 3) + (b*x*x^(2*p + 2))/(3*p + 3))","B"
176,0,-1,36,0.000000,"\text{Not used}","int(x^((n - 1)*(p + 1))*(b*x + c*x^(n + 1))^p*(b + 2*c*x^n),x)","\int x^{\left(n-1\right)\,\left(p+1\right)}\,{\left(b\,x+c\,x^{n+1}\right)}^p\,\left(b+2\,c\,x^n\right) \,d x","Not used",1,"int(x^((n - 1)*(p + 1))*(b*x + c*x^(n + 1))^p*(b + 2*c*x^n), x)","F"
177,1,26,32,2.141980,"\text{Not used}","int((a^2*c + b^2*c*x^4 + b^2*d*x^5 + a^2*d*x + 2*a*b*c*x^2 + 2*a*b*d*x^3)/(a + b*x^2),x)","\frac{b\,d\,x^4}{4}+\frac{b\,c\,x^3}{3}+\frac{a\,d\,x^2}{2}+a\,c\,x","Not used",1,"a*c*x + (a*d*x^2)/2 + (b*c*x^3)/3 + (b*d*x^4)/4","B"
178,1,10,12,0.018502,"\text{Not used}","int((a^2*c + b^2*c*x^4 + b^2*d*x^5 + a^2*d*x + 2*a*b*c*x^2 + 2*a*b*d*x^3)/(a + b*x^2)^2,x)","\frac{d\,x^2}{2}+c\,x","Not used",1,"c*x + (d*x^2)/2","B"
179,1,32,42,2.129574,"\text{Not used}","int((a^2*c + b^2*c*x^4 + b^2*d*x^5 + a^2*d*x + 2*a*b*c*x^2 + 2*a*b*d*x^3)/(a + b*x^2)^3,x)","\frac{d\,\ln\left(b\,x^2+a\right)}{2\,b}+\frac{c\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(d*log(a + b*x^2))/(2*b) + (c*atan((b^(1/2)*x)/a^(1/2)))/(a^(1/2)*b^(1/2))","B"
180,1,54,25,2.190678,"\text{Not used}","int((b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^n,x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^n\,\left(\frac{a}{n+1}+\frac{b\,x}{n+1}+\frac{c\,x^2}{n+1}+\frac{d\,x^3}{n+1}\right)","Not used",1,"(a + b*x + c*x^2 + d*x^3)^n*(a/(n + 1) + (b*x)/(n + 1) + (c*x^2)/(n + 1) + (d*x^3)/(n + 1))","B"
181,1,46,24,2.123711,"\text{Not used}","int((b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^n,x)","\left(\frac{b\,x}{n+1}+\frac{c\,x^2}{n+1}+\frac{d\,x^3}{n+1}\right)\,{\left(d\,x^3+c\,x^2+b\,x\right)}^n","Not used",1,"((b*x)/(n + 1) + (c*x^2)/(n + 1) + (d*x^3)/(n + 1))*(b*x + c*x^2 + d*x^3)^n","B"
182,1,51,25,2.154689,"\text{Not used}","int(x^n*(b + c*x + d*x^2)^n*(b + 2*c*x + 3*d*x^2),x)","\left(\frac{c\,x^n\,x^2}{n+1}+\frac{d\,x^n\,x^3}{n+1}+\frac{b\,x\,x^n}{n+1}\right)\,{\left(d\,x^2+c\,x+b\right)}^n","Not used",1,"((c*x^n*x^2)/(n + 1) + (d*x^n*x^3)/(n + 1) + (b*x*x^n)/(n + 1))*(b + c*x + d*x^2)^n","B"
183,1,39,20,2.143358,"\text{Not used}","int((b + 3*d*x^2)*(a + b*x + d*x^3)^n,x)","\left(\frac{a}{n+1}+\frac{b\,x}{n+1}+\frac{d\,x^3}{n+1}\right)\,{\left(d\,x^3+b\,x+a\right)}^n","Not used",1,"(a/(n + 1) + (b*x)/(n + 1) + (d*x^3)/(n + 1))*(a + b*x + d*x^3)^n","B"
184,1,25,19,2.126501,"\text{Not used}","int((b*x + d*x^3)^n*(b + 3*d*x^2),x)","\frac{x\,{\left(d\,x^3+b\,x\right)}^n\,\left(d\,x^2+b\right)}{n+1}","Not used",1,"(x*(b*x + d*x^3)^n*(b + d*x^2))/(n + 1)","B"
185,1,26,22,2.160641,"\text{Not used}","int(x^n*(b + d*x^2)^n*(b + 3*d*x^2),x)","\frac{x\,x^n\,{\left(d\,x^2+b\right)}^n\,\left(d\,x^2+b\right)}{n+1}","Not used",1,"(x*x^n*(b + d*x^2)^n*(b + d*x^2))/(n + 1)","B"
186,1,43,22,2.137950,"\text{Not used}","int((2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^n,x)","\left(\frac{a}{n+1}+\frac{c\,x^2}{n+1}+\frac{d\,x^3}{n+1}\right)\,{\left(d\,x^3+c\,x^2+a\right)}^n","Not used",1,"(a/(n + 1) + (c*x^2)/(n + 1) + (d*x^3)/(n + 1))*(a + c*x^2 + d*x^3)^n","B"
187,1,27,21,2.162047,"\text{Not used}","int((2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^n,x)","\frac{x^2\,{\left(d\,x^3+c\,x^2\right)}^n\,\left(c+d\,x\right)}{n+1}","Not used",1,"(x^2*(c*x^2 + d*x^3)^n*(c + d*x))/(n + 1)","B"
188,1,28,24,2.198844,"\text{Not used}","int(x^n*(c*x + d*x^2)^n*(2*c*x + 3*d*x^2),x)","\frac{x^n\,x^2\,{\left(d\,x^2+c\,x\right)}^n\,\left(c+d\,x\right)}{n+1}","Not used",1,"(x^n*x^2*(c*x + d*x^2)^n*(c + d*x))/(n + 1)","B"
189,1,26,22,2.187747,"\text{Not used}","int(x^(2*n)*(2*c*x + 3*d*x^2)*(c + d*x)^n,x)","\frac{x^{2\,n}\,x^2\,{\left(c+d\,x\right)}^n\,\left(c+d\,x\right)}{n+1}","Not used",1,"(x^(2*n)*x^2*(c + d*x)^n*(c + d*x))/(n + 1)","B"
190,1,43,22,2.142100,"\text{Not used}","int(x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^n,x)","\left(\frac{a}{n+1}+\frac{c\,x^2}{n+1}+\frac{d\,x^3}{n+1}\right)\,{\left(d\,x^3+c\,x^2+a\right)}^n","Not used",1,"(a/(n + 1) + (c*x^2)/(n + 1) + (d*x^3)/(n + 1))*(a + c*x^2 + d*x^3)^n","B"
191,1,27,21,2.148322,"\text{Not used}","int(x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^n,x)","\frac{x^2\,{\left(d\,x^3+c\,x^2\right)}^n\,\left(c+d\,x\right)}{n+1}","Not used",1,"(x^2*(c*x^2 + d*x^3)^n*(c + d*x))/(n + 1)","B"
192,1,1576,21,2.978931,"\text{Not used}","int((b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^7,x)","x^{12}\,\left(\frac{35\,a^4\,d^4}{4}+140\,a^3\,b\,c\,d^3+70\,a^3\,c^3\,d^2+70\,a^2\,b^3\,d^3+315\,a^2\,b^2\,c^2\,d^2+105\,a^2\,b\,c^4\,d+\frac{7\,a^2\,c^6}{2}+105\,a\,b^4\,c\,d^2+140\,a\,b^3\,c^3\,d+21\,a\,b^2\,c^5+\frac{7\,b^6\,d^2}{2}+21\,b^5\,c^2\,d+\frac{35\,b^4\,c^4}{4}\right)+x^{11}\,\left(35\,a^4\,c\,d^3+70\,a^3\,b^2\,d^3+210\,a^3\,b\,c^2\,d^2+35\,a^3\,c^4\,d+210\,a^2\,b^3\,c\,d^2+210\,a^2\,b^2\,c^3\,d+21\,a^2\,b\,c^5+21\,a\,b^5\,d^2+105\,a\,b^4\,c^2\,d+35\,a\,b^3\,c^4+7\,b^6\,c\,d+7\,b^5\,c^3\right)+x^{13}\,\left(35\,a^3\,b\,d^4+70\,a^3\,c^2\,d^3+210\,a^2\,b^2\,c\,d^3+210\,a^2\,b\,c^3\,d^2+21\,a^2\,c^5\,d+35\,a\,b^4\,d^3+210\,a\,b^3\,c^2\,d^2+105\,a\,b^2\,c^4\,d+7\,a\,b\,c^6+21\,b^5\,c\,d^2+35\,b^4\,c^3\,d+7\,b^3\,c^5\right)+x^5\,\left(7\,d\,a^6\,c+21\,d\,a^5\,b^2+21\,a^5\,b\,c^2+35\,a^4\,b^3\,c+7\,a^3\,b^5\right)+x^{19}\,\left(21\,b^2\,c\,d^5+35\,b\,c^3\,d^4+7\,a\,b\,d^6+7\,c^5\,d^3+21\,a\,c^2\,d^5\right)+x^8\,\left(21\,a^5\,c\,d^2+\frac{105\,a^4\,b^2\,d^2}{2}+105\,a^4\,b\,c^2\,d+\frac{35\,a^4\,c^4}{4}+140\,a^3\,b^3\,c\,d+70\,a^3\,b^2\,c^3+21\,a^2\,b^5\,d+\frac{105\,a^2\,b^4\,c^2}{2}+7\,a\,b^6\,c+\frac{b^8}{8}\right)+x^9\,\left(7\,a^5\,d^3+105\,a^4\,b\,c\,d^2+35\,a^4\,c^3\,d+70\,a^3\,b^3\,d^2+210\,a^3\,b^2\,c^2\,d+35\,a^3\,b\,c^4+105\,a^2\,b^4\,c\,d+70\,a^2\,b^3\,c^3+7\,a\,b^6\,d+21\,a\,b^5\,c^2+b^7\,c\right)+x^{16}\,\left(21\,a^2\,b\,d^5+\frac{105\,a^2\,c^2\,d^4}{2}+105\,a\,b^2\,c\,d^4+140\,a\,b\,c^3\,d^3+21\,a\,c^5\,d^2+\frac{35\,b^4\,d^4}{4}+70\,b^3\,c^2\,d^3+\frac{105\,b^2\,c^4\,d^2}{2}+7\,b\,c^6\,d+\frac{c^8}{8}\right)+x^{10}\,\left(35\,a^4\,b\,d^3+\frac{105\,a^4\,c^2\,d^2}{2}+210\,a^3\,b^2\,c\,d^2+140\,a^3\,b\,c^3\,d+7\,a^3\,c^5+\frac{105\,a^2\,b^4\,d^2}{2}+210\,a^2\,b^3\,c^2\,d+\frac{105\,a^2\,b^2\,c^4}{2}+42\,a\,b^5\,c\,d+35\,a\,b^4\,c^3+b^7\,d+\frac{7\,b^6\,c^2}{2}\right)+x^{15}\,\left(7\,a^3\,d^5+105\,a^2\,b\,c\,d^4+70\,a^2\,c^3\,d^3+35\,a\,b^3\,d^4+210\,a\,b^2\,c^2\,d^3+105\,a\,b\,c^4\,d^2+7\,a\,c^6\,d+35\,b^4\,c\,d^3+70\,b^3\,c^3\,d^2+21\,b^2\,c^5\,d+b\,c^7\right)+x^{14}\,\left(35\,a^3\,c\,d^4+\frac{105\,a^2\,b^2\,d^4}{2}+210\,a^2\,b\,c^2\,d^3+\frac{105\,a^2\,c^4\,d^2}{2}+140\,a\,b^3\,c\,d^3+210\,a\,b^2\,c^3\,d^2+42\,a\,b\,c^5\,d+a\,c^7+7\,b^5\,d^3+\frac{105\,b^4\,c^2\,d^2}{2}+35\,b^3\,c^4\,d+\frac{7\,b^2\,c^6}{2}\right)+x^4\,\left(7\,d\,a^6\,b+\frac{7\,a^6\,c^2}{2}+21\,a^5\,b^2\,c+\frac{35\,a^4\,b^4}{4}\right)+x^{20}\,\left(\frac{7\,b^2\,d^6}{2}+21\,b\,c^2\,d^5+\frac{35\,c^4\,d^4}{4}+7\,a\,c\,d^6\right)+x^6\,\left(\frac{7\,a^6\,d^2}{2}+42\,a^5\,b\,c\,d+7\,a^5\,c^3+35\,a^4\,b^3\,d+\frac{105\,a^4\,b^2\,c^2}{2}+35\,a^3\,b^4\,c+\frac{7\,a^2\,b^6}{2}\right)+x^7\,\left(21\,a^5\,b\,d^2+21\,a^5\,c^2\,d+105\,a^4\,b^2\,c\,d+35\,a^4\,b\,c^3+35\,a^3\,b^4\,d+70\,a^3\,b^3\,c^2+21\,a^2\,b^5\,c+a\,b^7\right)+x^{18}\,\left(\frac{7\,a^2\,d^6}{2}+42\,a\,b\,c\,d^5+35\,a\,c^3\,d^4+7\,b^3\,d^5+\frac{105\,b^2\,c^2\,d^4}{2}+35\,b\,c^4\,d^3+\frac{7\,c^6\,d^2}{2}\right)+x^{17}\,\left(21\,a^2\,c\,d^5+21\,a\,b^2\,d^5+105\,a\,b\,c^2\,d^4+35\,a\,c^4\,d^3+35\,b^3\,c\,d^4+70\,b^2\,c^3\,d^3+21\,b\,c^5\,d^2+c^7\,d\right)+x^3\,\left(d\,a^7+7\,c\,a^6\,b+7\,a^5\,b^3\right)+\frac{d^8\,x^{24}}{8}+x^2\,\left(c\,a^7+\frac{7\,a^6\,b^2}{2}\right)+c\,d^7\,x^{23}+d^5\,x^{21}\,\left(7\,c^3+7\,b\,c\,d+a\,d^2\right)+\frac{d^6\,x^{22}\,\left(7\,c^2+2\,b\,d\right)}{2}+a^7\,b\,x","Not used",1,"x^12*((7*a^2*c^6)/2 + (35*a^4*d^4)/4 + (35*b^4*c^4)/4 + (7*b^6*d^2)/2 + 21*a*b^2*c^5 + 21*b^5*c^2*d + 70*a^2*b^3*d^3 + 70*a^3*c^3*d^2 + 315*a^2*b^2*c^2*d^2 + 140*a*b^3*c^3*d + 105*a*b^4*c*d^2 + 105*a^2*b*c^4*d + 140*a^3*b*c*d^3) + x^11*(7*b^5*c^3 + 35*a*b^3*c^4 + 21*a^2*b*c^5 + 21*a*b^5*d^2 + 35*a^3*c^4*d + 35*a^4*c*d^3 + 70*a^3*b^2*d^3 + 7*b^6*c*d + 210*a^2*b^2*c^3*d + 210*a^2*b^3*c*d^2 + 210*a^3*b*c^2*d^2 + 105*a*b^4*c^2*d) + x^13*(7*b^3*c^5 + 35*a*b^4*d^3 + 35*a^3*b*d^4 + 21*a^2*c^5*d + 35*b^4*c^3*d + 21*b^5*c*d^2 + 70*a^3*c^2*d^3 + 7*a*b*c^6 + 210*a*b^3*c^2*d^2 + 210*a^2*b*c^3*d^2 + 210*a^2*b^2*c*d^3 + 105*a*b^2*c^4*d) + x^5*(7*a^3*b^5 + 35*a^4*b^3*c + 21*a^5*b*c^2 + 21*a^5*b^2*d + 7*a^6*c*d) + x^19*(7*c^5*d^3 + 21*a*c^2*d^5 + 35*b*c^3*d^4 + 21*b^2*c*d^5 + 7*a*b*d^6) + x^8*(b^8/8 + (35*a^4*c^4)/4 + 21*a^2*b^5*d + 21*a^5*c*d^2 + (105*a^2*b^4*c^2)/2 + 70*a^3*b^2*c^3 + (105*a^4*b^2*d^2)/2 + 7*a*b^6*c + 140*a^3*b^3*c*d + 105*a^4*b*c^2*d) + x^9*(b^7*c + 7*a^5*d^3 + 21*a*b^5*c^2 + 35*a^3*b*c^4 + 35*a^4*c^3*d + 70*a^2*b^3*c^3 + 70*a^3*b^3*d^2 + 7*a*b^6*d + 210*a^3*b^2*c^2*d + 105*a^2*b^4*c*d + 105*a^4*b*c*d^2) + x^16*(c^8/8 + (35*b^4*d^4)/4 + 21*a^2*b*d^5 + 21*a*c^5*d^2 + (105*a^2*c^2*d^4)/2 + (105*b^2*c^4*d^2)/2 + 70*b^3*c^2*d^3 + 7*b*c^6*d + 140*a*b*c^3*d^3 + 105*a*b^2*c*d^4) + x^10*(b^7*d + 7*a^3*c^5 + (7*b^6*c^2)/2 + 35*a*b^4*c^3 + 35*a^4*b*d^3 + (105*a^2*b^2*c^4)/2 + (105*a^2*b^4*d^2)/2 + (105*a^4*c^2*d^2)/2 + 210*a^2*b^3*c^2*d + 210*a^3*b^2*c*d^2 + 42*a*b^5*c*d + 140*a^3*b*c^3*d) + x^15*(b*c^7 + 7*a^3*d^5 + 35*a*b^3*d^4 + 21*b^2*c^5*d + 35*b^4*c*d^3 + 70*a^2*c^3*d^3 + 70*b^3*c^3*d^2 + 7*a*c^6*d + 210*a*b^2*c^2*d^3 + 105*a*b*c^4*d^2 + 105*a^2*b*c*d^4) + x^14*(a*c^7 + (7*b^2*c^6)/2 + 7*b^5*d^3 + 35*a^3*c*d^4 + 35*b^3*c^4*d + (105*a^2*b^2*d^4)/2 + (105*a^2*c^4*d^2)/2 + (105*b^4*c^2*d^2)/2 + 210*a*b^2*c^3*d^2 + 210*a^2*b*c^2*d^3 + 42*a*b*c^5*d + 140*a*b^3*c*d^3) + x^4*((35*a^4*b^4)/4 + (7*a^6*c^2)/2 + 21*a^5*b^2*c + 7*a^6*b*d) + x^20*((7*b^2*d^6)/2 + (35*c^4*d^4)/4 + 21*b*c^2*d^5 + 7*a*c*d^6) + x^6*((7*a^2*b^6)/2 + 7*a^5*c^3 + (7*a^6*d^2)/2 + 35*a^3*b^4*c + 35*a^4*b^3*d + (105*a^4*b^2*c^2)/2 + 42*a^5*b*c*d) + x^7*(a*b^7 + 21*a^2*b^5*c + 35*a^4*b*c^3 + 35*a^3*b^4*d + 21*a^5*b*d^2 + 21*a^5*c^2*d + 70*a^3*b^3*c^2 + 105*a^4*b^2*c*d) + x^18*((7*a^2*d^6)/2 + 7*b^3*d^5 + (7*c^6*d^2)/2 + 35*a*c^3*d^4 + 35*b*c^4*d^3 + (105*b^2*c^2*d^4)/2 + 42*a*b*c*d^5) + x^17*(c^7*d + 21*a*b^2*d^5 + 35*a*c^4*d^3 + 21*a^2*c*d^5 + 21*b*c^5*d^2 + 35*b^3*c*d^4 + 70*b^2*c^3*d^3 + 105*a*b*c^2*d^4) + x^3*(a^7*d + 7*a^5*b^3 + 7*a^6*b*c) + (d^8*x^24)/8 + x^2*(a^7*c + (7*a^6*b^2)/2) + c*d^7*x^23 + d^5*x^21*(a*d^2 + 7*c^3 + 7*b*c*d) + (d^6*x^22*(2*b*d + 7*c^2))/2 + a^7*b*x","B"
193,1,418,20,2.319526,"\text{Not used}","int((b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^7,x)","x^{14}\,\left(7\,b^5\,d^3+\frac{105\,b^4\,c^2\,d^2}{2}+35\,b^3\,c^4\,d+\frac{7\,b^2\,c^6}{2}\right)+x^{18}\,\left(7\,b^3\,d^5+\frac{105\,b^2\,c^2\,d^4}{2}+35\,b\,c^4\,d^3+\frac{7\,c^6\,d^2}{2}\right)+x^{12}\,\left(\frac{7\,b^6\,d^2}{2}+21\,b^5\,c^2\,d+\frac{35\,b^4\,c^4}{4}\right)+x^{20}\,\left(\frac{7\,b^2\,d^6}{2}+21\,b\,c^2\,d^5+\frac{35\,c^4\,d^4}{4}\right)+x^{16}\,\left(\frac{35\,b^4\,d^4}{4}+70\,b^3\,c^2\,d^3+\frac{105\,b^2\,c^4\,d^2}{2}+7\,b\,c^6\,d+\frac{c^8}{8}\right)+\frac{b^8\,x^8}{8}+\frac{d^8\,x^{24}}{8}+x^{10}\,\left(d\,b^7+\frac{7\,b^6\,c^2}{2}\right)+b^7\,c\,x^9+c\,d^7\,x^{23}+\frac{d^6\,x^{22}\,\left(7\,c^2+2\,b\,d\right)}{2}+7\,b^3\,c\,x^{13}\,\left(3\,b^2\,d^2+5\,b\,c^2\,d+c^4\right)+7\,c\,d^3\,x^{19}\,\left(3\,b^2\,d^2+5\,b\,c^2\,d+c^4\right)+b\,c\,x^{15}\,\left(35\,b^3\,d^3+70\,b^2\,c^2\,d^2+21\,b\,c^4\,d+c^6\right)+c\,d\,x^{17}\,\left(35\,b^3\,d^3+70\,b^2\,c^2\,d^2+21\,b\,c^4\,d+c^6\right)+7\,b^5\,c\,x^{11}\,\left(c^2+b\,d\right)+7\,c\,d^5\,x^{21}\,\left(c^2+b\,d\right)","Not used",1,"x^14*((7*b^2*c^6)/2 + 7*b^5*d^3 + 35*b^3*c^4*d + (105*b^4*c^2*d^2)/2) + x^18*(7*b^3*d^5 + (7*c^6*d^2)/2 + 35*b*c^4*d^3 + (105*b^2*c^2*d^4)/2) + x^12*((35*b^4*c^4)/4 + (7*b^6*d^2)/2 + 21*b^5*c^2*d) + x^20*((7*b^2*d^6)/2 + (35*c^4*d^4)/4 + 21*b*c^2*d^5) + x^16*(c^8/8 + (35*b^4*d^4)/4 + (105*b^2*c^4*d^2)/2 + 70*b^3*c^2*d^3 + 7*b*c^6*d) + (b^8*x^8)/8 + (d^8*x^24)/8 + x^10*(b^7*d + (7*b^6*c^2)/2) + b^7*c*x^9 + c*d^7*x^23 + (d^6*x^22*(2*b*d + 7*c^2))/2 + 7*b^3*c*x^13*(c^4 + 3*b^2*d^2 + 5*b*c^2*d) + 7*c*d^3*x^19*(c^4 + 3*b^2*d^2 + 5*b*c^2*d) + b*c*x^15*(c^6 + 35*b^3*d^3 + 70*b^2*c^2*d^2 + 21*b*c^4*d) + c*d*x^17*(c^6 + 35*b^3*d^3 + 70*b^2*c^2*d^2 + 21*b*c^4*d) + 7*b^5*c*x^11*(b*d + c^2) + 7*c*d^5*x^21*(b*d + c^2)","B"
194,1,418,19,2.267089,"\text{Not used}","int(x^7*(b + c*x + d*x^2)^7*(b + 2*c*x + 3*d*x^2),x)","x^{14}\,\left(7\,b^5\,d^3+\frac{105\,b^4\,c^2\,d^2}{2}+35\,b^3\,c^4\,d+\frac{7\,b^2\,c^6}{2}\right)+x^{18}\,\left(7\,b^3\,d^5+\frac{105\,b^2\,c^2\,d^4}{2}+35\,b\,c^4\,d^3+\frac{7\,c^6\,d^2}{2}\right)+x^{12}\,\left(\frac{7\,b^6\,d^2}{2}+21\,b^5\,c^2\,d+\frac{35\,b^4\,c^4}{4}\right)+x^{20}\,\left(\frac{7\,b^2\,d^6}{2}+21\,b\,c^2\,d^5+\frac{35\,c^4\,d^4}{4}\right)+x^{16}\,\left(\frac{35\,b^4\,d^4}{4}+70\,b^3\,c^2\,d^3+\frac{105\,b^2\,c^4\,d^2}{2}+7\,b\,c^6\,d+\frac{c^8}{8}\right)+\frac{b^8\,x^8}{8}+\frac{d^8\,x^{24}}{8}+x^{10}\,\left(d\,b^7+\frac{7\,b^6\,c^2}{2}\right)+b^7\,c\,x^9+c\,d^7\,x^{23}+\frac{d^6\,x^{22}\,\left(7\,c^2+2\,b\,d\right)}{2}+7\,b^3\,c\,x^{13}\,\left(3\,b^2\,d^2+5\,b\,c^2\,d+c^4\right)+7\,c\,d^3\,x^{19}\,\left(3\,b^2\,d^2+5\,b\,c^2\,d+c^4\right)+b\,c\,x^{15}\,\left(35\,b^3\,d^3+70\,b^2\,c^2\,d^2+21\,b\,c^4\,d+c^6\right)+c\,d\,x^{17}\,\left(35\,b^3\,d^3+70\,b^2\,c^2\,d^2+21\,b\,c^4\,d+c^6\right)+7\,b^5\,c\,x^{11}\,\left(c^2+b\,d\right)+7\,c\,d^5\,x^{21}\,\left(c^2+b\,d\right)","Not used",1,"x^14*((7*b^2*c^6)/2 + 7*b^5*d^3 + 35*b^3*c^4*d + (105*b^4*c^2*d^2)/2) + x^18*(7*b^3*d^5 + (7*c^6*d^2)/2 + 35*b*c^4*d^3 + (105*b^2*c^2*d^4)/2) + x^12*((35*b^4*c^4)/4 + (7*b^6*d^2)/2 + 21*b^5*c^2*d) + x^20*((7*b^2*d^6)/2 + (35*c^4*d^4)/4 + 21*b*c^2*d^5) + x^16*(c^8/8 + (35*b^4*d^4)/4 + (105*b^2*c^4*d^2)/2 + 70*b^3*c^2*d^3 + 7*b*c^6*d) + (b^8*x^8)/8 + (d^8*x^24)/8 + x^10*(b^7*d + (7*b^6*c^2)/2) + b^7*c*x^9 + c*d^7*x^23 + (d^6*x^22*(2*b*d + 7*c^2))/2 + 7*b^3*c*x^13*(c^4 + 3*b^2*d^2 + 5*b*c^2*d) + 7*c*d^3*x^19*(c^4 + 3*b^2*d^2 + 5*b*c^2*d) + b*c*x^15*(c^6 + 35*b^3*d^3 + 70*b^2*c^2*d^2 + 21*b*c^4*d) + c*d*x^17*(c^6 + 35*b^3*d^3 + 70*b^2*c^2*d^2 + 21*b*c^4*d) + 7*b^5*c*x^11*(b*d + c^2) + 7*c*d^5*x^21*(b*d + c^2)","B"
195,1,438,16,2.628045,"\text{Not used}","int((b + 3*d*x^2)*(a + b*x + d*x^3)^7,x)","x^{12}\,\left(\frac{35\,a^4\,d^4}{4}+70\,a^2\,b^3\,d^3+\frac{7\,b^6\,d^2}{2}\right)+x^4\,\left(7\,d\,a^6\,b+\frac{35\,a^4\,b^4}{4}\right)+x^{18}\,\left(\frac{7\,a^2\,d^6}{2}+7\,b^3\,d^5\right)+x^6\,\left(\frac{7\,a^6\,d^2}{2}+35\,a^4\,b^3\,d+\frac{7\,a^2\,b^6}{2}\right)+x^8\,\left(\frac{105\,a^4\,b^2\,d^2}{2}+21\,a^2\,b^5\,d+\frac{b^8}{8}\right)+\frac{d^8\,x^{24}}{8}+x^3\,\left(d\,a^7+7\,a^5\,b^3\right)+a\,d^7\,x^{21}+b\,d^7\,x^{22}+\frac{7\,a^6\,b^2\,x^2}{2}+\frac{7\,b^2\,d^6\,x^{20}}{2}+a^7\,b\,x+21\,a\,b^2\,d^5\,x^{17}+a\,b\,x^7\,\left(21\,a^4\,d^2+35\,a^2\,b^3\,d+b^6\right)+7\,a\,d\,x^9\,\left(a^4\,d^2+10\,a^2\,b^3\,d+b^6\right)+7\,a^3\,b^2\,x^5\,\left(3\,d\,a^2+b^3\right)+7\,a\,d^4\,x^{15}\,\left(d\,a^2+5\,b^3\right)+\frac{7\,b\,d^4\,x^{16}\,\left(12\,d\,a^2+5\,b^3\right)}{4}+\frac{b\,d\,x^{10}\,\left(70\,a^4\,d^2+105\,a^2\,b^3\,d+2\,b^6\right)}{2}+7\,a\,b\,d^6\,x^{19}+\frac{7\,b^2\,d^3\,x^{14}\,\left(15\,d\,a^2+2\,b^3\right)}{2}+7\,a\,b^2\,d^2\,x^{11}\,\left(10\,d\,a^2+3\,b^3\right)+35\,a\,b\,d^3\,x^{13}\,\left(d\,a^2+b^3\right)","Not used",1,"x^12*((35*a^4*d^4)/4 + (7*b^6*d^2)/2 + 70*a^2*b^3*d^3) + x^4*((35*a^4*b^4)/4 + 7*a^6*b*d) + x^18*((7*a^2*d^6)/2 + 7*b^3*d^5) + x^6*((7*a^2*b^6)/2 + (7*a^6*d^2)/2 + 35*a^4*b^3*d) + x^8*(b^8/8 + 21*a^2*b^5*d + (105*a^4*b^2*d^2)/2) + (d^8*x^24)/8 + x^3*(a^7*d + 7*a^5*b^3) + a*d^7*x^21 + b*d^7*x^22 + (7*a^6*b^2*x^2)/2 + (7*b^2*d^6*x^20)/2 + a^7*b*x + 21*a*b^2*d^5*x^17 + a*b*x^7*(b^6 + 21*a^4*d^2 + 35*a^2*b^3*d) + 7*a*d*x^9*(b^6 + a^4*d^2 + 10*a^2*b^3*d) + 7*a^3*b^2*x^5*(3*a^2*d + b^3) + 7*a*d^4*x^15*(a^2*d + 5*b^3) + (7*b*d^4*x^16*(12*a^2*d + 5*b^3))/4 + (b*d*x^10*(2*b^6 + 70*a^4*d^2 + 105*a^2*b^3*d))/2 + 7*a*b*d^6*x^19 + (7*b^2*d^3*x^14*(15*a^2*d + 2*b^3))/2 + 7*a*b^2*d^2*x^11*(10*a^2*d + 3*b^3) + 35*a*b*d^3*x^13*(a^2*d + b^3)","B"
196,1,88,15,0.050088,"\text{Not used}","int((b*x + d*x^3)^7*(b + 3*d*x^2),x)","\frac{b^8\,x^8}{8}+b^7\,d\,x^{10}+\frac{7\,b^6\,d^2\,x^{12}}{2}+7\,b^5\,d^3\,x^{14}+\frac{35\,b^4\,d^4\,x^{16}}{4}+7\,b^3\,d^5\,x^{18}+\frac{7\,b^2\,d^6\,x^{20}}{2}+b\,d^7\,x^{22}+\frac{d^8\,x^{24}}{8}","Not used",1,"(b^8*x^8)/8 + (d^8*x^24)/8 + b^7*d*x^10 + b*d^7*x^22 + (7*b^6*d^2*x^12)/2 + 7*b^5*d^3*x^14 + (35*b^4*d^4*x^16)/4 + 7*b^3*d^5*x^18 + (7*b^2*d^6*x^20)/2","B"
197,1,88,16,0.039662,"\text{Not used}","int(x^7*(b + d*x^2)^7*(b + 3*d*x^2),x)","\frac{b^8\,x^8}{8}+b^7\,d\,x^{10}+\frac{7\,b^6\,d^2\,x^{12}}{2}+7\,b^5\,d^3\,x^{14}+\frac{35\,b^4\,d^4\,x^{16}}{4}+7\,b^3\,d^5\,x^{18}+\frac{7\,b^2\,d^6\,x^{20}}{2}+b\,d^7\,x^{22}+\frac{d^8\,x^{24}}{8}","Not used",1,"(b^8*x^8)/8 + (d^8*x^24)/8 + b^7*d*x^10 + b*d^7*x^22 + (7*b^6*d^2*x^12)/2 + 7*b^5*d^3*x^14 + (35*b^4*d^4*x^16)/4 + 7*b^3*d^5*x^18 + (7*b^2*d^6*x^20)/2","B"
198,1,440,18,2.632255,"\text{Not used}","int((2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^7,x)","x^{12}\,\left(\frac{35\,a^4\,d^4}{4}+70\,a^3\,c^3\,d^2+\frac{7\,a^2\,c^6}{2}\right)+x^6\,\left(\frac{7\,a^6\,d^2}{2}+7\,a^5\,c^3\right)+x^{20}\,\left(\frac{35\,c^4\,d^4}{4}+7\,a\,c\,d^6\right)+x^{16}\,\left(\frac{105\,a^2\,c^2\,d^4}{2}+21\,a\,c^5\,d^2+\frac{c^8}{8}\right)+x^{18}\,\left(\frac{7\,a^2\,d^6}{2}+35\,a\,c^3\,d^4+\frac{7\,c^6\,d^2}{2}\right)+\frac{d^8\,x^{24}}{8}+x^{21}\,\left(7\,c^3\,d^5+a\,d^7\right)+a^7\,c\,x^2+a^7\,d\,x^3+c\,d^7\,x^{23}+\frac{7\,a^6\,c^2\,x^4}{2}+\frac{7\,c^2\,d^6\,x^{22}}{2}+21\,a^5\,c^2\,d\,x^7+7\,a\,d\,x^{15}\,\left(a^2\,d^4+10\,a\,c^3\,d^2+c^6\right)+c\,d\,x^{17}\,\left(21\,a^2\,d^4+35\,a\,c^3\,d^2+c^6\right)+\frac{7\,a^4\,c\,x^8\,\left(5\,c^3+12\,a\,d^2\right)}{4}+7\,a^4\,d\,x^9\,\left(5\,c^3+a\,d^2\right)+7\,c^2\,d^3\,x^{19}\,\left(c^3+3\,a\,d^2\right)+\frac{a\,c\,x^{14}\,\left(70\,a^2\,d^4+105\,a\,c^3\,d^2+2\,c^6\right)}{2}+7\,a^6\,c\,d\,x^5+\frac{7\,a^3\,c^2\,x^{10}\,\left(2\,c^3+15\,a\,d^2\right)}{2}+7\,a^2\,c^2\,d\,x^{13}\,\left(3\,c^3+10\,a\,d^2\right)+35\,a^3\,c\,d\,x^{11}\,\left(c^3+a\,d^2\right)","Not used",1,"x^12*((7*a^2*c^6)/2 + (35*a^4*d^4)/4 + 70*a^3*c^3*d^2) + x^6*(7*a^5*c^3 + (7*a^6*d^2)/2) + x^20*((35*c^4*d^4)/4 + 7*a*c*d^6) + x^16*(c^8/8 + 21*a*c^5*d^2 + (105*a^2*c^2*d^4)/2) + x^18*((7*a^2*d^6)/2 + (7*c^6*d^2)/2 + 35*a*c^3*d^4) + (d^8*x^24)/8 + x^21*(a*d^7 + 7*c^3*d^5) + a^7*c*x^2 + a^7*d*x^3 + c*d^7*x^23 + (7*a^6*c^2*x^4)/2 + (7*c^2*d^6*x^22)/2 + 21*a^5*c^2*d*x^7 + 7*a*d*x^15*(c^6 + a^2*d^4 + 10*a*c^3*d^2) + c*d*x^17*(c^6 + 21*a^2*d^4 + 35*a*c^3*d^2) + (7*a^4*c*x^8*(12*a*d^2 + 5*c^3))/4 + 7*a^4*d*x^9*(a*d^2 + 5*c^3) + 7*c^2*d^3*x^19*(3*a*d^2 + c^3) + (a*c*x^14*(2*c^6 + 70*a^2*d^4 + 105*a*c^3*d^2))/2 + 7*a^6*c*d*x^5 + (7*a^3*c^2*x^10*(15*a*d^2 + 2*c^3))/2 + 7*a^2*c^2*d*x^13*(10*a*d^2 + 3*c^3) + 35*a^3*c*d*x^11*(a*d^2 + c^3)","B"
199,1,88,17,2.071877,"\text{Not used}","int((2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^7,x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
200,1,88,14,0.047461,"\text{Not used}","int(x^7*(c*x + d*x^2)^7*(2*c*x + 3*d*x^2),x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
201,1,88,14,0.041389,"\text{Not used}","int(x^14*(2*c*x + 3*d*x^2)*(c + d*x)^7,x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
202,1,440,18,0.568480,"\text{Not used}","int(x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^7,x)","x^{12}\,\left(\frac{35\,a^4\,d^4}{4}+70\,a^3\,c^3\,d^2+\frac{7\,a^2\,c^6}{2}\right)+x^6\,\left(\frac{7\,a^6\,d^2}{2}+7\,a^5\,c^3\right)+x^{20}\,\left(\frac{35\,c^4\,d^4}{4}+7\,a\,c\,d^6\right)+x^{16}\,\left(\frac{105\,a^2\,c^2\,d^4}{2}+21\,a\,c^5\,d^2+\frac{c^8}{8}\right)+x^{18}\,\left(\frac{7\,a^2\,d^6}{2}+35\,a\,c^3\,d^4+\frac{7\,c^6\,d^2}{2}\right)+\frac{d^8\,x^{24}}{8}+x^{21}\,\left(7\,c^3\,d^5+a\,d^7\right)+a^7\,c\,x^2+a^7\,d\,x^3+c\,d^7\,x^{23}+\frac{7\,a^6\,c^2\,x^4}{2}+\frac{7\,c^2\,d^6\,x^{22}}{2}+21\,a^5\,c^2\,d\,x^7+7\,a\,d\,x^{15}\,\left(a^2\,d^4+10\,a\,c^3\,d^2+c^6\right)+c\,d\,x^{17}\,\left(21\,a^2\,d^4+35\,a\,c^3\,d^2+c^6\right)+\frac{7\,a^4\,c\,x^8\,\left(5\,c^3+12\,a\,d^2\right)}{4}+7\,a^4\,d\,x^9\,\left(5\,c^3+a\,d^2\right)+7\,c^2\,d^3\,x^{19}\,\left(c^3+3\,a\,d^2\right)+\frac{a\,c\,x^{14}\,\left(70\,a^2\,d^4+105\,a\,c^3\,d^2+2\,c^6\right)}{2}+7\,a^6\,c\,d\,x^5+\frac{7\,a^3\,c^2\,x^{10}\,\left(2\,c^3+15\,a\,d^2\right)}{2}+7\,a^2\,c^2\,d\,x^{13}\,\left(3\,c^3+10\,a\,d^2\right)+35\,a^3\,c\,d\,x^{11}\,\left(c^3+a\,d^2\right)","Not used",1,"x^12*((7*a^2*c^6)/2 + (35*a^4*d^4)/4 + 70*a^3*c^3*d^2) + x^6*(7*a^5*c^3 + (7*a^6*d^2)/2) + x^20*((35*c^4*d^4)/4 + 7*a*c*d^6) + x^16*(c^8/8 + 21*a*c^5*d^2 + (105*a^2*c^2*d^4)/2) + x^18*((7*a^2*d^6)/2 + (7*c^6*d^2)/2 + 35*a*c^3*d^4) + (d^8*x^24)/8 + x^21*(a*d^7 + 7*c^3*d^5) + a^7*c*x^2 + a^7*d*x^3 + c*d^7*x^23 + (7*a^6*c^2*x^4)/2 + (7*c^2*d^6*x^22)/2 + 21*a^5*c^2*d*x^7 + 7*a*d*x^15*(c^6 + a^2*d^4 + 10*a*c^3*d^2) + c*d*x^17*(c^6 + 21*a^2*d^4 + 35*a*c^3*d^2) + (7*a^4*c*x^8*(12*a*d^2 + 5*c^3))/4 + 7*a^4*d*x^9*(a*d^2 + 5*c^3) + 7*c^2*d^3*x^19*(3*a*d^2 + c^3) + (a*c*x^14*(2*c^6 + 70*a^2*d^4 + 105*a*c^3*d^2))/2 + 7*a^6*c*d*x^5 + (7*a^3*c^2*x^10*(15*a*d^2 + 2*c^3))/2 + 7*a^2*c^2*d*x^13*(10*a*d^2 + 3*c^3) + 35*a^3*c*d*x^11*(a*d^2 + c^3)","B"
203,1,88,14,0.040209,"\text{Not used}","int(x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^7,x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
204,1,88,18,0.039520,"\text{Not used}","int(x^8*(c*x + d*x^2)^7*(2*c + 3*d*x),x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
205,1,88,14,0.038722,"\text{Not used}","int(x^15*(2*c + 3*d*x)*(c + d*x)^7,x)","\frac{c^8\,x^{16}}{8}+c^7\,d\,x^{17}+\frac{7\,c^6\,d^2\,x^{18}}{2}+7\,c^5\,d^3\,x^{19}+\frac{35\,c^4\,d^4\,x^{20}}{4}+7\,c^3\,d^5\,x^{21}+\frac{7\,c^2\,d^6\,x^{22}}{2}+c\,d^7\,x^{23}+\frac{d^8\,x^{24}}{8}","Not used",1,"(c^8*x^16)/8 + (d^8*x^24)/8 + c^7*d*x^17 + c*d^7*x^23 + (7*c^6*d^2*x^18)/2 + 7*c^5*d^3*x^19 + (35*c^4*d^4*x^20)/4 + 7*c^3*d^5*x^21 + (7*c^2*d^6*x^22)/2","B"
206,1,66,28,0.051291,"\text{Not used}","int(((a*x + (b*x^2)/2)^4 + 1)*(a + b*x),x)","\frac{a^5\,x^5}{5}+\frac{a^4\,b\,x^6}{2}+\frac{a^3\,b^2\,x^7}{2}+\frac{a^2\,b^3\,x^8}{4}+\frac{a\,b^4\,x^9}{16}+a\,x+\frac{b^5\,x^{10}}{160}+\frac{b\,x^2}{2}","Not used",1,"a*x + (b*x^2)/2 + (a^5*x^5)/5 + (b^5*x^10)/160 + (a^4*b*x^6)/2 + (a*b^4*x^9)/16 + (a^3*b^2*x^7)/2 + (a^2*b^3*x^8)/4","B"
207,1,180,31,0.104954,"\text{Not used}","int(((c + a*x + (b*x^2)/2)^4 + 1)*(a + b*x),x)","x^6\,\left(\frac{a^4\,b}{2}+\frac{3\,a^2\,b^2\,c}{2}+\frac{b^3\,c^2}{4}\right)+x^4\,\left(a^4\,c+3\,a^2\,b\,c^2+\frac{b^2\,c^3}{2}\right)+x^2\,\left(2\,a^2\,c^3+\frac{b\,c^4}{2}+\frac{b}{2}\right)+x^5\,\left(\frac{a^5}{5}+2\,a^3\,b\,c+\frac{3\,a\,b^2\,c^2}{2}\right)+\frac{b^5\,x^{10}}{160}+x^8\,\left(\frac{a^2\,b^3}{4}+\frac{c\,b^4}{16}\right)+\frac{a\,b^4\,x^9}{16}+a\,x\,\left(c^4+1\right)+\frac{a\,b^2\,x^7\,\left(a^2+b\,c\right)}{2}+2\,a\,c^2\,x^3\,\left(a^2+b\,c\right)","Not used",1,"x^6*((a^4*b)/2 + (b^3*c^2)/4 + (3*a^2*b^2*c)/2) + x^4*(a^4*c + (b^2*c^3)/2 + 3*a^2*b*c^2) + x^2*(b/2 + (b*c^4)/2 + 2*a^2*c^3) + x^5*(a^5/5 + (3*a*b^2*c^2)/2 + 2*a^3*b*c) + (b^5*x^10)/160 + x^8*((b^4*c)/16 + (a^2*b^3)/4) + (a*b^4*x^9)/16 + a*x*(c^4 + 1) + (a*b^2*x^7*(b*c + a^2))/2 + 2*a*c^2*x^3*(b*c + a^2)","B"
208,1,31,34,2.120794,"\text{Not used}","int(((a*x + (b*x^2)/2)^n + 1)*(a + b*x),x)","\frac{x\,\left(2\,a+b\,x\right)\,\left(n+{\left(\frac{b\,x^2}{2}+a\,x\right)}^n+1\right)}{2\,\left(n+1\right)}","Not used",1,"(x*(2*a + b*x)*(n + (a*x + (b*x^2)/2)^n + 1))/(2*(n + 1))","B"
209,1,58,35,2.110456,"\text{Not used}","int(((c + a*x + (b*x^2)/2)^n + 1)*(a + b*x),x)","a\,x+{\left(\frac{b\,x^2}{2}+a\,x+c\right)}^n\,\left(\frac{2\,c}{2\,n+2}+\frac{b\,x^2}{2\,n+2}+\frac{2\,a\,x}{2\,n+2}\right)+\frac{b\,x^2}{2}","Not used",1,"a*x + (c + a*x + (b*x^2)/2)^n*((2*c)/(2*n + 2) + (b*x^2)/(2*n + 2) + (2*a*x)/(2*n + 2)) + (b*x^2)/2","B"
210,1,77,30,0.054970,"\text{Not used}","int((a + c*x^2)*((a*x + (c*x^3)/3)^5 + 1),x)","\frac{a^6\,x^6}{6}+\frac{a^5\,c\,x^8}{3}+\frac{5\,a^4\,c^2\,x^{10}}{18}+\frac{10\,a^3\,c^3\,x^{12}}{81}+\frac{5\,a^2\,c^4\,x^{14}}{162}+\frac{a\,c^5\,x^{16}}{243}+a\,x+\frac{c^6\,x^{18}}{4374}+\frac{c\,x^3}{3}","Not used",1,"a*x + (c*x^3)/3 + (a^6*x^6)/6 + (c^6*x^18)/4374 + (a^5*c*x^8)/3 + (a*c^5*x^16)/243 + (5*a^4*c^2*x^10)/18 + (10*a^3*c^3*x^12)/81 + (5*a^2*c^4*x^14)/162","B"
211,1,266,31,2.266032,"\text{Not used}","int(((d + a*x + (c*x^3)/3)^5 + 1)*(a + c*x^2),x)","x^5\,\left(a^5\,d+\frac{10\,c\,a^2\,d^3}{3}\right)+x^4\,\left(\frac{5\,a^4\,d^2}{2}+\frac{5\,c\,a\,d^4}{3}\right)+x^3\,\left(\frac{10\,a^3\,d^3}{3}+\frac{c\,d^5}{3}+\frac{c}{3}\right)+x^6\,\left(\frac{a^6}{6}+\frac{10\,a^3\,c\,d^2}{3}+\frac{5\,c^2\,d^4}{18}\right)+\frac{c^6\,x^{18}}{4374}+\frac{a\,c^5\,x^{16}}{243}+a\,x\,\left(d^5+1\right)+\frac{c^5\,d\,x^{15}}{243}+\frac{5\,a^2\,c^4\,x^{14}}{162}+\frac{5\,a^2\,d^4\,x^2}{2}+\frac{5\,c^3\,x^{12}\,\left(4\,a^3+c\,d^2\right)}{162}+\frac{a^2\,c\,x^8\,\left(a^3+5\,c\,d^2\right)}{3}+\frac{10\,a^2\,c^3\,d\,x^{11}}{27}+\frac{5\,a\,c^2\,x^{10}\,\left(3\,a^3+4\,c\,d^2\right)}{54}+\frac{10\,c^2\,d\,x^9\,\left(9\,a^3+c\,d^2\right)}{81}+\frac{5\,a\,c^4\,d\,x^{13}}{81}+\frac{5\,a\,c\,d\,x^7\,\left(3\,a^3+2\,c\,d^2\right)}{9}","Not used",1,"x^5*(a^5*d + (10*a^2*c*d^3)/3) + x^4*((5*a^4*d^2)/2 + (5*a*c*d^4)/3) + x^3*(c/3 + (c*d^5)/3 + (10*a^3*d^3)/3) + x^6*(a^6/6 + (5*c^2*d^4)/18 + (10*a^3*c*d^2)/3) + (c^6*x^18)/4374 + (a*c^5*x^16)/243 + a*x*(d^5 + 1) + (c^5*d*x^15)/243 + (5*a^2*c^4*x^14)/162 + (5*a^2*d^4*x^2)/2 + (5*c^3*x^12*(c*d^2 + 4*a^3))/162 + (a^2*c*x^8*(5*c*d^2 + a^3))/3 + (10*a^2*c^3*d*x^11)/27 + (5*a*c^2*x^10*(4*c*d^2 + 3*a^3))/54 + (10*c^2*d*x^9*(c*d^2 + 9*a^3))/81 + (5*a*c^4*d*x^13)/81 + (5*a*c*d*x^7*(2*c*d^2 + 3*a^3))/9","B"
212,1,80,34,0.065425,"\text{Not used}","int((b*x + c*x^2)*(((b*x^2)/2 + (c*x^3)/3)^5 + 1),x)","\frac{b^6\,x^{12}}{384}+\frac{b^5\,c\,x^{13}}{96}+\frac{5\,b^4\,c^2\,x^{14}}{288}+\frac{5\,b^3\,c^3\,x^{15}}{324}+\frac{5\,b^2\,c^4\,x^{16}}{648}+\frac{b\,c^5\,x^{17}}{486}+\frac{b\,x^2}{2}+\frac{c^6\,x^{18}}{4374}+\frac{c\,x^3}{3}","Not used",1,"(b*x^2)/2 + (c*x^3)/3 + (b^6*x^12)/384 + (c^6*x^18)/4374 + (b^5*c*x^13)/96 + (b*c^5*x^17)/486 + (5*b^4*c^2*x^14)/288 + (5*b^3*c^3*x^15)/324 + (5*b^2*c^4*x^16)/648","B"
213,1,273,41,2.282510,"\text{Not used}","int((b*x + c*x^2)*((d + (b*x^2)/2 + (c*x^3)/3)^5 + 1),x)","x^{13}\,\left(\frac{b^5\,c}{96}+\frac{5\,d\,b^2\,c^3}{54}\right)+x^{14}\,\left(\frac{5\,b^4\,c^2}{288}+\frac{5\,d\,b\,c^4}{162}\right)+x^{12}\,\left(\frac{b^6}{384}+\frac{5\,b^3\,c^2\,d}{36}+\frac{5\,c^4\,d^2}{162}\right)+\frac{c^6\,x^{18}}{4374}+x^{15}\,\left(\frac{5\,b^3\,c^3}{324}+\frac{d\,c^5}{243}\right)+\frac{5\,d^3\,x^6\,\left(3\,b^3+2\,d\,c^2\right)}{36}+\frac{b\,c^5\,x^{17}}{486}+\frac{5\,b^2\,c^4\,x^{16}}{648}+\frac{b\,x^2\,\left(d^5+1\right)}{2}+\frac{5\,b^2\,d^4\,x^4}{8}+\frac{c\,x^3\,\left(d^5+1\right)}{3}+\frac{5\,b^2\,c\,d^3\,x^7}{6}+\frac{5\,b\,d^2\,x^8\,\left(9\,b^3+32\,d\,c^2\right)}{288}+\frac{b^2\,d\,x^{10}\,\left(3\,b^3+40\,d\,c^2\right)}{96}+\frac{5\,c\,d^2\,x^9\,\left(27\,b^3+8\,d\,c^2\right)}{324}+\frac{5\,b\,c\,d^4\,x^5}{6}+\frac{5\,b\,c\,d\,x^{11}\,\left(9\,b^3+16\,d\,c^2\right)}{432}","Not used",1,"x^13*((b^5*c)/96 + (5*b^2*c^3*d)/54) + x^14*((5*b^4*c^2)/288 + (5*b*c^4*d)/162) + x^12*(b^6/384 + (5*c^4*d^2)/162 + (5*b^3*c^2*d)/36) + (c^6*x^18)/4374 + x^15*((c^5*d)/243 + (5*b^3*c^3)/324) + (5*d^3*x^6*(2*c^2*d + 3*b^3))/36 + (b*c^5*x^17)/486 + (5*b^2*c^4*x^16)/648 + (b*x^2*(d^5 + 1))/2 + (5*b^2*d^4*x^4)/8 + (c*x^3*(d^5 + 1))/3 + (5*b^2*c*d^3*x^7)/6 + (5*b*d^2*x^8*(32*c^2*d + 9*b^3))/288 + (b^2*d*x^10*(40*c^2*d + 3*b^3))/96 + (5*c*d^2*x^9*(8*c^2*d + 27*b^3))/324 + (5*b*c*d^4*x^5)/6 + (5*b*c*d*x^11*(16*c^2*d + 9*b^3))/432","B"
214,1,270,46,2.236747,"\text{Not used}","int(((a*x + (b*x^2)/2 + (c*x^3)/3)^5 + 1)*(a + b*x + c*x^2),x)","x^{12}\,\left(\frac{10\,a^3\,c^3}{81}+\frac{5\,a^2\,b^2\,c^2}{12}+\frac{5\,a\,b^4\,c}{48}+\frac{b^6}{384}\right)+a\,x+\frac{b\,x^2}{2}+\frac{c\,x^3}{3}+\frac{a^6\,x^6}{6}+\frac{c^6\,x^{18}}{4374}+\frac{5\,a^2\,x^{10}\,\left(16\,a^2\,c^2+48\,a\,b^2\,c+9\,b^4\right)}{288}+\frac{5\,c^2\,x^{14}\,\left(16\,a^2\,c^2+48\,a\,b^2\,c+9\,b^4\right)}{2592}+\frac{a^5\,b\,x^7}{2}+\frac{b\,c^5\,x^{17}}{486}+\frac{a^4\,x^8\,\left(15\,b^2+8\,a\,c\right)}{24}+\frac{c^4\,x^{16}\,\left(15\,b^2+8\,a\,c\right)}{1944}+\frac{a\,b\,x^{11}\,\left(160\,a^2\,c^2+120\,a\,b^2\,c+9\,b^4\right)}{288}+\frac{b\,c\,x^{13}\,\left(160\,a^2\,c^2+120\,a\,b^2\,c+9\,b^4\right)}{864}+\frac{5\,a^3\,b\,x^9\,\left(b^2+2\,a\,c\right)}{12}+\frac{5\,b\,c^3\,x^{15}\,\left(b^2+2\,a\,c\right)}{324}","Not used",1,"x^12*(b^6/384 + (10*a^3*c^3)/81 + (5*a^2*b^2*c^2)/12 + (5*a*b^4*c)/48) + a*x + (b*x^2)/2 + (c*x^3)/3 + (a^6*x^6)/6 + (c^6*x^18)/4374 + (5*a^2*x^10*(9*b^4 + 16*a^2*c^2 + 48*a*b^2*c))/288 + (5*c^2*x^14*(9*b^4 + 16*a^2*c^2 + 48*a*b^2*c))/2592 + (a^5*b*x^7)/2 + (b*c^5*x^17)/486 + (a^4*x^8*(8*a*c + 15*b^2))/24 + (c^4*x^16*(8*a*c + 15*b^2))/1944 + (a*b*x^11*(9*b^4 + 160*a^2*c^2 + 120*a*b^2*c))/288 + (b*c*x^13*(9*b^4 + 160*a^2*c^2 + 120*a*b^2*c))/864 + (5*a^3*b*x^9*(2*a*c + b^2))/12 + (5*b*c^3*x^15*(2*a*c + b^2))/324","B"
215,1,753,47,2.449829,"\text{Not used}","int(((d + a*x + (b*x^2)/2 + (c*x^3)/3)^5 + 1)*(a + b*x + c*x^2),x)","x^{10}\,\left(\frac{5\,a^4\,c^2}{18}+\frac{5\,a^3\,b^2\,c}{6}+\frac{5\,a^2\,b^4}{32}+\frac{5\,a^2\,b\,c^2\,d}{3}+\frac{5\,a\,b^3\,c\,d}{6}+\frac{10\,a\,c^3\,d^2}{27}+\frac{b^5\,d}{32}+\frac{5\,b^2\,c^2\,d^2}{12}\right)+x^8\,\left(\frac{a^5\,c}{3}+\frac{5\,a^4\,b^2}{8}+\frac{10\,a^3\,b\,c\,d}{3}+\frac{5\,a^2\,b^3\,d}{4}+\frac{5\,a^2\,c^2\,d^2}{3}+\frac{5\,a\,b^2\,c\,d^2}{2}+\frac{5\,b^4\,d^2}{32}+\frac{5\,b\,c^2\,d^3}{9}\right)+x^9\,\left(\frac{5\,a^4\,b\,c}{6}+\frac{5\,a^3\,b^3}{12}+\frac{10\,a^3\,c^2\,d}{9}+\frac{5\,a^2\,b^2\,c\,d}{2}+\frac{5\,a\,b^4\,d}{16}+\frac{5\,a\,b\,c^2\,d^2}{3}+\frac{5\,b^3\,c\,d^2}{12}+\frac{10\,c^3\,d^3}{81}\right)+x^{14}\,\left(\frac{5\,a^2\,c^4}{162}+\frac{5\,a\,b^2\,c^3}{54}+\frac{5\,b^4\,c^2}{288}+\frac{5\,d\,b\,c^4}{162}\right)+x^{12}\,\left(\frac{10\,a^3\,c^3}{81}+\frac{5\,a^2\,b^2\,c^2}{12}+\frac{5\,a\,b^4\,c}{48}+\frac{10\,a\,b\,c^3\,d}{27}+\frac{b^6}{384}+\frac{5\,b^3\,c^2\,d}{36}+\frac{5\,c^4\,d^2}{162}\right)+x^6\,\left(\frac{a^6}{6}+\frac{5\,a^4\,b\,d}{2}+\frac{10\,a^3\,c\,d^2}{3}+\frac{15\,a^2\,b^2\,d^2}{4}+\frac{10\,a\,b\,c\,d^3}{3}+\frac{5\,b^3\,d^3}{12}+\frac{5\,c^2\,d^4}{18}\right)+x^3\,\left(\frac{10\,a^3\,d^3}{3}+\frac{5\,b\,a\,d^4}{2}+\frac{c\,d^5}{3}+\frac{c}{3}\right)+x^{11}\,\left(\frac{5\,a^3\,b\,c^2}{9}+\frac{5\,a^2\,b^3\,c}{12}+\frac{10\,a^2\,c^3\,d}{27}+\frac{a\,b^5}{32}+\frac{5\,a\,b^2\,c^2\,d}{6}+\frac{5\,b^4\,c\,d}{48}+\frac{5\,b\,c^3\,d^2}{27}\right)+x^7\,\left(\frac{a^5\,b}{2}+\frac{5\,a^4\,c\,d}{3}+\frac{5\,a^3\,b^2\,d}{2}+5\,a^2\,b\,c\,d^2+\frac{5\,a\,b^3\,d^2}{4}+\frac{10\,a\,c^2\,d^3}{9}+\frac{5\,b^2\,c\,d^3}{6}\right)+x^2\,\left(\frac{5\,a^2\,d^4}{2}+\frac{b\,d^5}{2}+\frac{b}{2}\right)+x^{13}\,\left(\frac{5\,a^2\,b\,c^3}{27}+\frac{5\,a\,b^3\,c^2}{36}+\frac{5\,d\,a\,c^4}{81}+\frac{b^5\,c}{96}+\frac{5\,d\,b^2\,c^3}{54}\right)+x^5\,\left(a^5\,d+5\,a^3\,b\,d^2+\frac{10\,c\,a^2\,d^3}{3}+\frac{5\,a\,b^2\,d^3}{2}+\frac{5\,c\,b\,d^4}{6}\right)+\frac{c^6\,x^{18}}{4374}+\frac{5\,d^2\,x^4\,\left(12\,a^4+24\,a^2\,b\,d+8\,c\,a\,d^2+3\,b^2\,d^2\right)}{24}+a\,x\,\left(d^5+1\right)+\frac{b\,c^5\,x^{17}}{486}+\frac{c^3\,x^{15}\,\left(15\,b^3+30\,a\,b\,c+4\,d\,c^2\right)}{972}+\frac{c^4\,x^{16}\,\left(15\,b^2+8\,a\,c\right)}{1944}","Not used",1,"x^10*((b^5*d)/32 + (5*a^2*b^4)/32 + (5*a^4*c^2)/18 + (5*a^3*b^2*c)/6 + (10*a*c^3*d^2)/27 + (5*b^2*c^2*d^2)/12 + (5*a*b^3*c*d)/6 + (5*a^2*b*c^2*d)/3) + x^8*((a^5*c)/3 + (5*a^4*b^2)/8 + (5*b^4*d^2)/32 + (5*a^2*b^3*d)/4 + (5*b*c^2*d^3)/9 + (5*a^2*c^2*d^2)/3 + (10*a^3*b*c*d)/3 + (5*a*b^2*c*d^2)/2) + x^9*((5*a^3*b^3)/12 + (10*c^3*d^3)/81 + (10*a^3*c^2*d)/9 + (5*b^3*c*d^2)/12 + (5*a^4*b*c)/6 + (5*a*b^4*d)/16 + (5*a*b*c^2*d^2)/3 + (5*a^2*b^2*c*d)/2) + x^14*((5*a^2*c^4)/162 + (5*b^4*c^2)/288 + (5*a*b^2*c^3)/54 + (5*b*c^4*d)/162) + x^12*(b^6/384 + (10*a^3*c^3)/81 + (5*c^4*d^2)/162 + (5*b^3*c^2*d)/36 + (5*a^2*b^2*c^2)/12 + (5*a*b^4*c)/48 + (10*a*b*c^3*d)/27) + x^6*(a^6/6 + (5*b^3*d^3)/12 + (5*c^2*d^4)/18 + (10*a^3*c*d^2)/3 + (15*a^2*b^2*d^2)/4 + (5*a^4*b*d)/2 + (10*a*b*c*d^3)/3) + x^3*(c/3 + (c*d^5)/3 + (10*a^3*d^3)/3 + (5*a*b*d^4)/2) + x^11*((a*b^5)/32 + (5*a^2*b^3*c)/12 + (5*a^3*b*c^2)/9 + (10*a^2*c^3*d)/27 + (5*b*c^3*d^2)/27 + (5*b^4*c*d)/48 + (5*a*b^2*c^2*d)/6) + x^7*((a^5*b)/2 + (5*a*b^3*d^2)/4 + (5*a^3*b^2*d)/2 + (10*a*c^2*d^3)/9 + (5*b^2*c*d^3)/6 + (5*a^4*c*d)/3 + 5*a^2*b*c*d^2) + x^2*(b/2 + (b*d^5)/2 + (5*a^2*d^4)/2) + x^13*((b^5*c)/96 + (5*a*b^3*c^2)/36 + (5*a^2*b*c^3)/27 + (5*b^2*c^3*d)/54 + (5*a*c^4*d)/81) + x^5*(a^5*d + (5*a*b^2*d^3)/2 + 5*a^3*b*d^2 + (10*a^2*c*d^3)/3 + (5*b*c*d^4)/6) + (c^6*x^18)/4374 + (5*d^2*x^4*(12*a^4 + 3*b^2*d^2 + 24*a^2*b*d + 8*a*c*d^2))/24 + a*x*(d^5 + 1) + (b*c^5*x^17)/486 + (c^3*x^15*(4*c^2*d + 15*b^3 + 30*a*b*c))/972 + (c^4*x^16*(8*a*c + 15*b^2))/1944","B"
216,1,33,34,2.110724,"\text{Not used}","int((a + c*x^2)*((a*x + (c*x^3)/3)^n + 1),x)","\frac{x\,\left(c\,x^2+3\,a\right)\,\left(n+{\left(\frac{c\,x^3}{3}+a\,x\right)}^n+1\right)}{3\,\left(n+1\right)}","Not used",1,"(x*(3*a + c*x^2)*(n + (a*x + (c*x^3)/3)^n + 1))/(3*(n + 1))","B"
217,1,37,44,2.209613,"\text{Not used}","int((b*x + c*x^2)*(((b*x^2)/2 + (c*x^3)/3)^n + 1),x)","\frac{x^2\,\left(3\,b+2\,c\,x\right)\,\left(n+{\left(\frac{c\,x^3}{3}+\frac{b\,x^2}{2}\right)}^n+1\right)}{6\,\left(n+1\right)}","Not used",1,"(x^2*(3*b + 2*c*x)*(n + ((b*x^2)/2 + (c*x^3)/3)^n + 1))/(6*(n + 1))","B"
218,1,73,50,2.170088,"\text{Not used}","int(((a*x + (b*x^2)/2 + (c*x^3)/3)^n + 1)*(a + b*x + c*x^2),x)","a\,x+\left(\frac{3\,b\,x^2}{6\,n+6}+\frac{2\,c\,x^3}{6\,n+6}+\frac{6\,a\,x}{6\,n+6}\right)\,{\left(\frac{c\,x^3}{3}+\frac{b\,x^2}{2}+a\,x\right)}^n+\frac{b\,x^2}{2}+\frac{c\,x^3}{3}","Not used",1,"a*x + ((3*b*x^2)/(6*n + 6) + (2*c*x^3)/(6*n + 6) + (6*a*x)/(6*n + 6))*(a*x + (b*x^2)/2 + (c*x^3)/3)^n + (b*x^2)/2 + (c*x^3)/3","B"
219,1,29,19,0.025331,"\text{Not used}","int((4*x + x^2 - 4)*(6*x^2 - 12*x + x^3 + 5),x)","\frac{x^6}{6}+2\,x^5+2\,x^4-\frac{67\,x^3}{3}+34\,x^2-20\,x","Not used",1,"34*x^2 - 20*x - (67*x^3)/3 + 2*x^4 + 2*x^5 + x^6/6","B"
220,1,17,16,0.033620,"\text{Not used}","int((2*x + x^3)*(4*x^2 + x^4 + 1),x)","\frac{x^8}{8}+x^6+\frac{9\,x^4}{4}+x^2","Not used",1,"x^2 + (9*x^4)/4 + x^6 + x^8/8","B"
221,1,86,33,0.217560,"\text{Not used}","int((2*x + 1)*(x + x^2)^3*(7*(x + x^2)^3 - 18)^2,x)","\frac{49\,x^{20}}{10}+49\,x^{19}+\frac{441\,x^{18}}{2}+588\,x^{17}+1029\,x^{16}+\frac{6174\,x^{15}}{5}+993\,x^{14}+336\,x^{13}-\frac{1071\,x^{12}}{2}-1211\,x^{11}-\frac{12551\,x^{10}}{10}-756\,x^9-171\,x^8+288\,x^7+486\,x^6+324\,x^5+81\,x^4","Not used",1,"81*x^4 + 324*x^5 + 486*x^6 + 288*x^7 - 171*x^8 - 756*x^9 - (12551*x^10)/10 - 1211*x^11 - (1071*x^12)/2 + 336*x^13 + 993*x^14 + (6174*x^15)/5 + 1029*x^16 + 588*x^17 + (441*x^18)/2 + 49*x^19 + (49*x^20)/10","B"
222,1,86,33,0.190882,"\text{Not used}","int(x^3*(2*x + 1)*(7*x^3*(x + 1)^3 - 18)^2*(x + 1)^3,x)","\frac{49\,x^{20}}{10}+49\,x^{19}+\frac{441\,x^{18}}{2}+588\,x^{17}+1029\,x^{16}+\frac{6174\,x^{15}}{5}+993\,x^{14}+336\,x^{13}-\frac{1071\,x^{12}}{2}-1211\,x^{11}-\frac{12551\,x^{10}}{10}-756\,x^9-171\,x^8+288\,x^7+486\,x^6+324\,x^5+81\,x^4","Not used",1,"81*x^4 + 324*x^5 + 486*x^6 + 288*x^7 - 171*x^8 - 756*x^9 - (12551*x^10)/10 - 1211*x^11 - (1071*x^12)/2 + 336*x^13 + 993*x^14 + (6174*x^15)/5 + 1029*x^16 + 588*x^17 + (441*x^18)/2 + 49*x^19 + (49*x^20)/10","B"
223,1,12,14,2.099580,"\text{Not used}","int(-(x^2 - 2)/(x^3 - 6*x + 1)^5,x)","\frac{1}{12\,{\left(x^3-6\,x+1\right)}^4}","Not used",1,"1/(12*(x^3 - 6*x + 1)^4)","B"
224,1,13,15,0.049046,"\text{Not used}","int((2*x + x^2)/(3*x^2 + x^3 + 4),x)","\frac{\ln\left(x^3+3\,x^2+4\right)}{3}","Not used",1,"log(3*x^2 + x^3 + 4)/3","B"
225,1,13,17,0.066307,"\text{Not used}","int((x + x^3 + 1)/(4*x + 2*x^2 + x^4),x)","\frac{\ln\left(x\,\left(x^3+2\,x+4\right)\right)}{4}","Not used",1,"log(x*(2*x + x^3 + 4))/4","B"
226,1,23,40,0.108401,"\text{Not used}","int(-(a*d - b*c + 2*a*e*x + 3*a*f*x^2 + b*e*x^2 + 2*b*f*x^3)/(c + d*x + e*x^2 + f*x^3)^2,x)","\frac{a+b\,x}{f\,x^3+e\,x^2+d\,x+c}","Not used",1,"(a + b*x)/(c + d*x + e*x^2 + f*x^3)","B"
227,0,-1,605,0.000000,"\text{Not used}","int((A + B*x + C*x^2 + x^3*D)/(a + b*x + a*x^4 + b*x^3 + c*x^2),x)","\int \frac{A+B\,x+C\,x^2+x^3\,D}{a\,x^4+b\,x^3+c\,x^2+b\,x+a} \,d x","Not used",1,"int((A + B*x + C*x^2 + x^3*D)/(a + b*x + a*x^4 + b*x^3 + c*x^2), x)","F"
228,1,75,63,0.184774,"\text{Not used}","int((x - 4*x^2 + 2*x^3 + 2)/(x^2 - x - x^3 + x^4 + 1),x)","\frac{\ln\left(x^2-\frac{\sqrt{5}\,x}{2}-\frac{x}{2}+1\right)}{2}+\frac{\ln\left(\frac{\sqrt{5}\,x}{2}-\frac{x}{2}+x^2+1\right)}{2}-\frac{\sqrt{5}\,\ln\left(x^2-\frac{\sqrt{5}\,x}{2}-\frac{x}{2}+1\right)}{2}+\frac{\sqrt{5}\,\ln\left(\frac{\sqrt{5}\,x}{2}-\frac{x}{2}+x^2+1\right)}{2}","Not used",1,"log(x^2 - (5^(1/2)*x)/2 - x/2 + 1)/2 + log((5^(1/2)*x)/2 - x/2 + x^2 + 1)/2 - (5^(1/2)*log(x^2 - (5^(1/2)*x)/2 - x/2 + 1))/2 + (5^(1/2)*log((5^(1/2)*x)/2 - x/2 + x^2 + 1))/2","B"
229,1,12,14,0.039757,"\text{Not used}","int((3*x + 3*x^2 + x^3)/(4*x + 6*x^2 + 4*x^3 + x^4 + 1),x)","\ln\left(x+1\right)+\frac{1}{3\,{\left(x+1\right)}^3}","Not used",1,"log(x + 1) + 1/(3*(x + 1)^3)","B"
230,1,21,28,0.036862,"\text{Not used}","int((3*x - 3*x^2 + x^3 - 1)/(4*x + 6*x^2 + 4*x^3 + x^4 + 1),x)","\ln\left(x+1\right)+\frac{6\,x^2+6\,x+\frac{8}{3}}{{\left(x+1\right)}^3}","Not used",1,"log(x + 1) + (6*x + 6*x^2 + 8/3)/(x + 1)^3","B"
231,1,28,59,0.053674,"\text{Not used}","int((174*x^4 - 18*x^2 - 40*x + 24*x^5 + 26*x^6 - 39*x^8 + 9)/(2*x^2 + x^4 + 3)^3,x)","\frac{13\,x^5-4\,x^2+3\,x+2}{{\left(x^4+2\,x^2+3\right)}^2}","Not used",1,"(3*x - 4*x^2 + 13*x^5 + 2)/(2*x^2 + x^4 + 3)^2","B"
232,1,11,11,2.301470,"\text{Not used}","int((4*x^5 - 1)/(x + x^5 + 1)^2,x)","-\frac{x}{x^5+x+1}","Not used",1,"-x/(x + x^5 + 1)","B"
233,1,124,91,2.369437,"\text{Not used}","int((x^2 + 1)/(7*x^2 - 7*x^4 + x^6 - 1)^2,x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{\frac{7\,x^5}{32}-\frac{23\,x^3}{16}+\frac{31\,x}{32}}{x^6-7\,x^4+7\,x^2-1}+\mathrm{atan}\left(\frac{x\,23313{}\mathrm{i}}{8192\,\left(\frac{27309\,\sqrt{2}}{32768}-\frac{19317}{16384}\right)}-\frac{\sqrt{2}\,x\,65943{}\mathrm{i}}{32768\,\left(\frac{27309\,\sqrt{2}}{32768}-\frac{19317}{16384}\right)}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{32}-\frac{3}{64}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{x\,23313{}\mathrm{i}}{8192\,\left(\frac{27309\,\sqrt{2}}{32768}+\frac{19317}{16384}\right)}+\frac{\sqrt{2}\,x\,65943{}\mathrm{i}}{32768\,\left(\frac{27309\,\sqrt{2}}{32768}+\frac{19317}{16384}\right)}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{32}+\frac{3}{64}{}\mathrm{i}\right)","Not used",1,"atan((x*23313i)/(8192*((27309*2^(1/2))/32768 - 19317/16384)) - (2^(1/2)*x*65943i)/(32768*((27309*2^(1/2))/32768 - 19317/16384)))*((2^(1/2)*1i)/32 - 3i/64) - ((31*x)/32 - (23*x^3)/16 + (7*x^5)/32)/(7*x^2 - 7*x^4 + x^6 - 1) - (atan(x*1i)*1i)/4 + atan((x*23313i)/(8192*((27309*2^(1/2))/32768 + 19317/16384)) + (2^(1/2)*x*65943i)/(32768*((27309*2^(1/2))/32768 + 19317/16384)))*((2^(1/2)*1i)/32 + 3i/64)","B"
234,1,49,25,2.655624,"\text{Not used}","int(x^m*(a*(m + 1) + x*(x*(c*(m + 2*p + 3) + d*x*(m + 3*p + 4)) + b*(m + p + 2)))*(a + b*x + c*x^2 + d*x^3)^p,x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^p\,\left(a\,x\,x^m+b\,x^m\,x^2+c\,x^m\,x^3+d\,x^m\,x^4\right)","Not used",1,"(a + b*x + c*x^2 + d*x^3)^p*(a*x*x^m + b*x^m*x^2 + c*x^m*x^3 + d*x^m*x^4)","B"
235,1,39,23,2.549136,"\text{Not used}","int(x^2*(a + b*x + c*x^2 + d*x^3)^p*(3*a + b*x*(p + 4) + c*x^2*(2*p + 5) + d*x^3*(3*p + 6)),x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^p\,\left(d\,x^6+c\,x^5+b\,x^4+a\,x^3\right)","Not used",1,"(a + b*x + c*x^2 + d*x^3)^p*(a*x^3 + b*x^4 + c*x^5 + d*x^6)","B"
236,1,39,23,2.318765,"\text{Not used}","int(x*(a + b*x + c*x^2 + d*x^3)^p*(2*a + b*x*(p + 3) + c*x^2*(2*p + 4) + d*x^3*(3*p + 5)),x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^p\,\left(d\,x^5+c\,x^4+b\,x^3+a\,x^2\right)","Not used",1,"(a + b*x + c*x^2 + d*x^3)^p*(a*x^2 + b*x^3 + c*x^4 + d*x^5)","B"
237,1,37,21,2.273467,"\text{Not used}","int((a + b*x + c*x^2 + d*x^3)^p*(a + b*x*(p + 2) + c*x^2*(2*p + 3) + d*x^3*(3*p + 4)),x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^p\,\left(d\,x^4+c\,x^3+b\,x^2+a\,x\right)","Not used",1,"(a + b*x + c*x^2 + d*x^3)^p*(a*x + b*x^2 + c*x^3 + d*x^4)","B"
238,1,19,19,2.193084,"\text{Not used}","int(((b*x*(p + 1) + c*x^2*(2*p + 2) + d*x^3*(3*p + 3))*(a + b*x + c*x^2 + d*x^3)^p)/x,x)","{\left(d\,x^3+c\,x^2+b\,x+a\right)}^{p+1}","Not used",1,"(a + b*x + c*x^2 + d*x^3)^(p + 1)","B"
239,1,23,23,3.201732,"\text{Not used}","int(((a + b*x + c*x^2 + d*x^3)^p*(b*p*x - a + c*x^2*(2*p + 1) + d*x^3*(3*p + 2)))/x^2,x)","\frac{{\left(d\,x^3+c\,x^2+b\,x+a\right)}^{p+1}}{x}","Not used",1,"(a + b*x + c*x^2 + d*x^3)^(p + 1)/x","B"
240,1,23,23,3.319085,"\text{Not used}","int(((a + b*x + c*x^2 + d*x^3)^p*(b*x*(p - 1) - 2*a + 2*c*p*x^2 + d*x^3*(3*p + 1)))/x^3,x)","\frac{{\left(d\,x^3+c\,x^2+b\,x+a\right)}^{p+1}}{x^2}","Not used",1,"(a + b*x + c*x^2 + d*x^3)^(p + 1)/x^2","B"
241,1,23,23,3.354734,"\text{Not used}","int(((a + b*x + c*x^2 + d*x^3)^p*(b*x*(p - 2) - 3*a + 3*d*p*x^3 + c*x^2*(2*p - 1)))/x^4,x)","\frac{{\left(d\,x^3+c\,x^2+b\,x+a\right)}^{p+1}}{x^3}","Not used",1,"(a + b*x + c*x^2 + d*x^3)^(p + 1)/x^3","B"
242,1,97,97,0.194224,"\text{Not used}","int((x^4*(x + 3*x^2 + 2*x^3 + 5))/(x + 3*x^2 + x^3 + 2*x^4 + 2),x)","\frac{5\,x}{4}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{13}{48}+\frac{\sqrt{15}\,1{}\mathrm{i}}{144}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{13}{48}+\frac{\sqrt{15}\,1{}\mathrm{i}}{144}\right)-\frac{3\,x^2}{4}+\frac{x^3}{3}+\frac{x^4}{4}","Not used",1,"(5*x)/4 + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 + 1/3) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 - 1/3) + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/144 - 13/48) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/144 + 13/48) - (3*x^2)/4 + x^3/3 + x^4/4","B"
243,1,92,90,0.178042,"\text{Not used}","int((x^3*(x + 3*x^2 + 2*x^3 + 5))/(x + 3*x^2 + x^3 + 2*x^4 + 2),x)","\frac{x^2}{2}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{15}\,5{}\mathrm{i}}{72}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{24}+\frac{\sqrt{15}\,5{}\mathrm{i}}{72}\right)-\frac{3\,x}{2}+\frac{x^3}{3}","Not used",1,"log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 + 2/3) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 - 2/3) - (3*x)/2 + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*5i)/72 - 1/24) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*5i)/72 + 1/24) + x^2/2 + x^3/3","B"
244,1,85,77,2.290466,"\text{Not used}","int((x^2*(x + 3*x^2 + 2*x^3 + 5))/(x + 3*x^2 + x^3 + 2*x^4 + 2),x)","x-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-1+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{36}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{36}\right)+\frac{x^2}{2}","Not used",1,"x - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/9 + 1) + log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/9 - 1) + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/36 + 1/4) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/36 - 1/4) + x^2/2","B"
245,1,80,72,2.292435,"\text{Not used}","int((x*(x + 3*x^2 + 2*x^3 + 5))/(x + 3*x^2 + x^3 + 2*x^4 + 2),x)","x+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{15}\,1{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{6}+\frac{\sqrt{15}\,1{}\mathrm{i}}{18}\right)","Not used",1,"x + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 + 1/3) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 - 1/3) - log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/18 - 1/6) + log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/18 + 1/6)","B"
246,1,79,71,0.147481,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x + 3*x^2 + x^3 + 2*x^4 + 2),x)","-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{6}+\frac{\sqrt{15}\,1{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{15}\,1{}\mathrm{i}}{18}\right)","Not used",1,"log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 + 2/3) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 - 2/3) - log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/18 + 1/6) + log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/18 - 1/6)","B"
247,1,83,75,0.148637,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x*(x + 3*x^2 + x^3 + 2*x^4 + 2)),x)","\frac{5\,\ln\left(x\right)}{2}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-1+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{36}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{36}\right)","Not used",1,"(5*log(x))/2 - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/9 + 1) + log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/9 - 1) + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/36 - 1/4) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/36 + 1/4)","B"
248,1,88,84,2.280275,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x^2*(x + 3*x^2 + x^3 + 2*x^4 + 2)),x)","-\frac{3\,\ln\left(x\right)}{4}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{24}+\frac{\sqrt{15}\,5{}\mathrm{i}}{72}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{15}\,5{}\mathrm{i}}{72}\right)-\frac{5}{2\,x}","Not used",1,"log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 + 1/3) - (3*log(x))/4 - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*5i)/9 - 1/3) + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*5i)/72 + 1/24) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*5i)/72 - 1/24) - 5/(2*x)","B"
249,1,92,91,0.151860,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x^3*(x + 3*x^2 + x^3 + 2*x^4 + 2)),x)","\frac{\frac{3\,x}{4}-\frac{5}{4}}{x^2}-\frac{15\,\ln\left(x\right)}{8}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{2}{3}+\frac{\sqrt{3}\,4{}\mathrm{i}}{9}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{13}{48}+\frac{\sqrt{15}\,1{}\mathrm{i}}{144}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{15}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{13}{48}+\frac{\sqrt{15}\,1{}\mathrm{i}}{144}\right)","Not used",1,"((3*x)/4 - 5/4)/x^2 - (15*log(x))/8 - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 - 2/3) + log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*4i)/9 + 2/3) + log(x - (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/144 + 13/48) - log(x + (15^(1/2)*1i)/4 - 1/4)*((15^(1/2)*1i)/144 - 13/48)","B"
250,1,128,307,2.168871,"\text{Not used}","int((x^3*(x + 3*x^2 + 2*x^3 + 5))/(x + 5*x^2 + x^3 + 2*x^4 + 2),x)","\left(\sum _{k=1}^4\ln\left(-29\,x+\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\,\left(-\frac{289\,x}{4}+\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\,\left(\frac{581\,x}{16}-\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\,\left(\frac{147\,x}{4}-\frac{49}{16}\right)+\frac{1141}{64}\right)+\frac{47}{4}\right)+7\right)\,\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\right)-\frac{5\,x}{2}+\frac{x^2}{2}+\frac{x^3}{3}","Not used",1,"symsum(log(root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)*(root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)*((581*x)/16 - root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)*((147*x)/4 - 49/16) + 1141/64) - (289*x)/4 + 47/4) - 29*x + 7)*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k), k, 1, 4) - (5*x)/2 + x^2/2 + x^3/3","B"
251,1,188,269,0.134429,"\text{Not used}","int((x^2*(x + 3*x^2 + 2*x^3 + 5))/(x + 5*x^2 + x^3 + 2*x^4 + 2),x)","x+\frac{x^2}{2}+\left(\sum _{k=1}^4\ln\left(-\frac{179\,\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}{8}-7\,x-\frac{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)\,x\,459}{8}-\frac{{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^2\,x\,665}{8}-\frac{{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^3\,x\,147}{4}-\frac{35\,{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^2}{32}+\frac{49\,{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^3}{16}-15\right)\,\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)\right)","Not used",1,"x + x^2/2 + symsum(log((49*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^3)/16 - 7*x - (459*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)*x)/8 - (665*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^2*x)/8 - (147*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^3*x)/4 - (35*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^2)/32 - (179*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k))/8 - 15)*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k), k, 1, 4)","B"
252,1,183,230,0.192999,"\text{Not used}","int((x*(x + 3*x^2 + 2*x^3 + 5))/(x + 5*x^2 + x^3 + 2*x^4 + 2),x)","x+\left(\sum _{k=1}^4\ln\left(\frac{115\,\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}{8}+15\,x-\frac{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)\,x\,137}{8}+\frac{{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^2\,x\,133}{8}-\frac{{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^3\,x\,147}{4}-\frac{189\,{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^2}{16}+\frac{49\,{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^3}{16}-4\right)\,\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)\right)","Not used",1,"x + symsum(log((115*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k))/8 + 15*x - (137*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)*x)/8 + (133*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^2*x)/8 - (147*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^3*x)/4 - (189*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^2)/16 + (49*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^3)/16 - 4)*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k), k, 1, 4)","B"
253,1,181,198,2.341724,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x + 5*x^2 + x^3 + 2*x^4 + 2),x)","\sum _{k=1}^4\ln\left(-\frac{193\,\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}{8}+4\,x-\frac{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)\,x\,137}{8}+\frac{{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^2\,x\,651}{16}-\frac{{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^3\,x\,147}{4}+\frac{273\,{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^2}{16}+\frac{49\,{\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)}^3}{16}+7\right)\,\mathrm{root}\left(z^4-z^3+\frac{6\,z^2}{7}-\frac{48\,z}{49}+\frac{128}{343},z,k\right)","Not used",1,"symsum(log(4*x - (193*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k))/8 - (137*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)*x)/8 + (651*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^2*x)/16 - (147*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^3*x)/4 + (273*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^2)/16 + (49*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k)^3)/16 + 7)*root(z^4 - z^3 + (6*z^2)/7 - (48*z)/49 + 128/343, z, k), k, 1, 4)","B"
254,1,237,245,2.342441,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x*(x + 5*x^2 + x^3 + 2*x^4 + 2)),x)","\frac{5\,\ln\left(x\right)}{2}+\left(\sum _{k=1}^4\ln\left(\frac{223\,\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}{8}-\frac{31\,x}{2}+\frac{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)\,x\,71}{16}-\frac{{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^2\,x\,4463}{64}+\frac{{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^3\,x\,1449}{16}+\frac{{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^4\,x\,3675}{32}+\frac{257\,{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^2}{32}+\frac{1673\,{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^3}{64}-\frac{441\,{\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)}^4}{32}+10\right)\,\mathrm{root}\left(z^4+\frac{5\,z^3}{2}+2\,z^2+\frac{32\,z}{49}+\frac{128}{343},z,k\right)\right)","Not used",1,"(5*log(x))/2 + symsum(log((223*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k))/8 - (31*x)/2 + (71*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)*x)/16 - (4463*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^2*x)/64 + (1449*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^3*x)/16 + (3675*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^4*x)/32 + (257*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^2)/32 + (1673*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^3)/64 - (441*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k)^4)/32 + 10)*root(z^4 + (5*z^3)/2 + 2*z^2 + (32*z)/49 + 128/343, z, k), k, 1, 4)","B"
255,1,242,281,2.302029,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x^2*(x + 5*x^2 + x^3 + 2*x^4 + 2)),x)","\left(\sum _{k=1}^4\ln\left(\frac{1199\,\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}{32}+25\,x+\frac{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\,x\,4169}{32}+\frac{{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^2\,x\,43993}{256}+{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^3\,x\,28+\frac{{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^4\,x\,3675}{32}+\frac{11647\,{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^2}{128}+\frac{7273\,{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^3}{128}-\frac{441\,{\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)}^4}{32}+\frac{21}{4}\right)\,\mathrm{root}\left(z^4-\frac{3\,z^3}{4}+\frac{16\,z^2}{7}+\frac{96\,z}{49}+\frac{128}{343},z,k\right)\right)-\frac{3\,\ln\left(x\right)}{4}-\frac{5}{2\,x}","Not used",1,"symsum(log((1199*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k))/32 + 25*x + (4169*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)*x)/32 + (43993*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^2*x)/256 + 28*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^3*x + (3675*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^4*x)/32 + (11647*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^2)/128 + (7273*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^3)/128 - (441*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k)^4)/32 + 21/4)*root(z^4 - (3*z^3)/4 + (16*z^2)/7 + (96*z)/49 + 128/343, z, k), k, 1, 4) - (3*log(x))/4 - 5/(2*x)","B"
256,1,246,317,2.248327,"\text{Not used}","int((x + 3*x^2 + 2*x^3 + 5)/(x^3*(x + 5*x^2 + x^3 + 2*x^4 + 2)),x)","\left(\sum _{k=1}^4\ln\left(-\frac{8939\,\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}{128}-\frac{69\,x}{8}+\frac{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)\,x\,14945}{128}-\frac{{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^2\,x\,269991}{1024}-\frac{{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^3\,x\,1393}{8}+\frac{{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^4\,x\,3675}{32}-\frac{35697\,{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^2}{512}-\frac{18487\,{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^3}{256}-\frac{441\,{\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)}^4}{32}+\frac{245}{8}\right)\,\mathrm{root}\left(z^4-\frac{35\,z^3}{8}+\frac{47\,z^2}{7}-\frac{8\,z}{7}+\frac{128}{343},z,k\right)\right)-\frac{35\,\ln\left(x\right)}{8}+\frac{\frac{3\,x}{4}-\frac{5}{4}}{x^2}","Not used",1,"symsum(log((14945*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)*x)/128 - (69*x)/8 - (8939*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k))/128 - (269991*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^2*x)/1024 - (1393*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^3*x)/8 + (3675*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^4*x)/32 - (35697*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^2)/512 - (18487*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^3)/256 - (441*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k)^4)/32 + 245/8)*root(z^4 - (35*z^3)/8 + (47*z^2)/7 - (8*z)/7 + 128/343, z, k), k, 1, 4) - (35*log(x))/8 + ((3*x)/4 - 5/4)/x^2","B"
257,1,252,19,2.270146,"\text{Not used}","int((x^2*(3*a + b*x^2))/(a^2 + b^2*x^4 + c^2*x^6 + 2*a*b*x^2),x)","\frac{\mathrm{atan}\left(\frac{27\,a\,c^5\,x^3}{27\,a^2\,c^4-4\,a\,b^3\,c^2}-\frac{27\,b\,c^5\,x^5}{27\,a^2\,c^4-4\,a\,b^3\,c^2}-\frac{31\,b^3\,c^3\,x^3}{27\,a^2\,c^4-4\,a\,b^3\,c^2}+\frac{4\,b^6\,c\,x^3}{27\,a^3\,c^4-4\,a^2\,b^3\,c^2}+\frac{4\,b^5\,c\,x}{27\,a^2\,c^4-4\,a\,b^3\,c^2}+\frac{4\,b^4\,c^3\,x^5}{27\,a^3\,c^4-4\,a^2\,b^3\,c^2}-\frac{27\,a\,b^2\,c^3\,x}{27\,a^2\,c^4-4\,a\,b^3\,c^2}\right)+\mathrm{atan}\left(\frac{c\,x^3}{a}-\frac{c\,x}{b}+\frac{b^2\,x}{a\,c}\right)+\mathrm{atan}\left(\frac{c\,x}{b}\right)}{c}","Not used",1,"(atan((27*a*c^5*x^3)/(27*a^2*c^4 - 4*a*b^3*c^2) - (27*b*c^5*x^5)/(27*a^2*c^4 - 4*a*b^3*c^2) - (31*b^3*c^3*x^3)/(27*a^2*c^4 - 4*a*b^3*c^2) + (4*b^6*c*x^3)/(27*a^3*c^4 - 4*a^2*b^3*c^2) + (4*b^5*c*x)/(27*a^2*c^4 - 4*a*b^3*c^2) + (4*b^4*c^3*x^5)/(27*a^3*c^4 - 4*a^2*b^3*c^2) - (27*a*b^2*c^3*x)/(27*a^2*c^4 - 4*a*b^3*c^2)) + atan((c*x^3)/a - (c*x)/b + (b^2*x)/(a*c)) + atan((c*x)/b))/c","B"
258,1,38,43,0.051974,"\text{Not used}","int(-(3*x^4 - 1)/((x^2 + 1)^2*(x - 2)),x)","\frac{\frac{2\,x}{5}-\frac{1}{5}}{x^2+1}-\frac{47\,\ln\left(x-2\right)}{25}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{14}{25}+\frac{23}{25}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{14}{25}-\frac{23}{25}{}\mathrm{i}\right)","Not used",1,"((2*x)/5 - 1/5)/(x^2 + 1) - log(x - 1i)*(14/25 - 23i/25) - log(x + 1i)*(14/25 + 23i/25) - (47*log(x - 2))/25","B"
259,1,21,17,2.199673,"\text{Not used}","int((9*x - 2*x^2 + 9)/(9*x - x^3),x)","2\,\ln\left(x+3\right)-2\,\mathrm{atanh}\left(\frac{1296}{18\,x+162}-7\right)","Not used",1,"2*log(x + 3) - 2*atanh(1296/(18*x + 162) - 7)","B"
260,1,30,25,0.053723,"\text{Not used}","int(-(2*x^2 + x^5 + 1)/(x - x^3),x)","x+2\,\ln\left(x-1\right)+\frac{x^3}{3}+\mathrm{atan}\left(\frac{48{}\mathrm{i}}{11\,\left(22\,x-2\right)}+\frac{13}{11}{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"x + 2*log(x - 1) + atan(48i/(11*(22*x - 2)) + 13i/11)*2i + x^3/3","B"
261,1,18,22,0.035656,"\text{Not used}","int((2*x^2 + 3)/(x*(x - 1)^2),x)","3\,\ln\left(x\right)-\ln\left(x-1\right)-\frac{5}{x-1}","Not used",1,"3*log(x) - log(x - 1) - 5/(x - 1)","B"
262,1,25,27,2.260089,"\text{Not used}","int((2*x^2 - 1)/((4*x - 1)*(x^2 + 1)),x)","-\frac{7\,\ln\left(x-\frac{1}{4}\right)}{34}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{6}{17}-\frac{3}{34}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{6}{17}+\frac{3}{34}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(6/17 - 3i/34) - (7*log(x - 1/4))/34 + log(x + 1i)*(6/17 + 3i/34)","B"
263,1,17,21,0.030794,"\text{Not used}","int((2*x - 3*x^2 + x^3 - 3)/(x^2 + 1),x)","\frac{\ln\left(x^2+1\right)}{2}-3\,x+\frac{x^2}{2}","Not used",1,"log(x^2 + 1)/2 - 3*x + x^2/2","B"
264,1,23,27,2.140272,"\text{Not used}","int((x + 10*x^2 + 6*x^3 + x^4)/(6*x + x^2 + 10),x)","\frac{\ln\left(x^2+6\,x+10\right)}{2}-3\,\mathrm{atan}\left(x+3\right)+\frac{x^3}{3}","Not used",1,"log(6*x + x^2 + 10)/2 - 3*atan(x + 3) + x^3/3","B"
265,1,25,39,2.141266,"\text{Not used}","int(-1/(7*x^2 - 27*x + 3*x^3 - x^4 + 18),x)","\frac{\ln\left(x-1\right)}{8}-\frac{\ln\left(x-2\right)}{5}+\frac{\ln\left(x-3\right)}{12}-\frac{\ln\left(x+3\right)}{120}","Not used",1,"log(x - 1)/8 - log(x - 2)/5 + log(x - 3)/12 - log(x + 3)/120","B"
266,1,18,22,0.027049,"\text{Not used}","int((x^3 + 1)/(x - 2),x)","4\,x+9\,\ln\left(x-2\right)+x^2+\frac{x^3}{3}","Not used",1,"4*x + 9*log(x - 2) + x^2 + x^3/3","B"
267,1,13,15,2.131456,"\text{Not used}","int((3*x - 4*x^2 + 3*x^3)/(x^2 + 1),x)","4\,\mathrm{atan}\left(x\right)-4\,x+\frac{3\,x^2}{2}","Not used",1,"4*atan(x) - 4*x + (3*x^2)/2","B"
268,1,10,12,0.072042,"\text{Not used}","int(-(3*x + 5)/(x + x^2 - x^3 - 1),x)","\mathrm{atanh}\left(x\right)-\frac{4}{x-1}","Not used",1,"atanh(x) - 4/(x - 1)","B"
269,1,19,25,2.138537,"\text{Not used}","int((x + x^3 - x^4 + 1)/(x^2 - x^3),x)","4\,\mathrm{atanh}\left(2\,x-1\right)-\frac{1}{x}+\frac{x^2}{2}","Not used",1,"4*atanh(2*x - 1) - 1/x + x^2/2","B"
270,1,11,13,0.038079,"\text{Not used}","int((x + x^2 + x^3 + 2)/(3*x^2 + x^4 + 2),x)","\frac{\ln\left(x^2+2\right)}{2}+\mathrm{atan}\left(x\right)","Not used",1,"log(x^2 + 2)/2 + atan(x)","B"
271,1,35,35,2.124999,"\text{Not used}","int((8*x - 4*x^2 + 4*x^3 - x^4 + x^5 - 4)/(x^2 + 2)^3,x)","\frac{\ln\left(x^2+2\right)}{2}-\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)}{2}-\frac{1}{x^4+4\,x^2+4}","Not used",1,"log(x^2 + 2)/2 - (2^(1/2)*atan((2^(1/2)*x)/2))/2 - 1/(4*x^2 + x^4 + 4)","B"
272,1,17,23,2.187635,"\text{Not used}","int(-(3*x - x^2 + 1)/(x^2 - 2*x + x^3),x)","\frac{3\,\ln\left(x+2\right)}{2}-\ln\left(x-1\right)+\frac{\ln\left(x\right)}{2}","Not used",1,"(3*log(x + 2))/2 - log(x - 1) + log(x)/2","B"
273,1,19,23,0.055022,"\text{Not used}","int((3*x^2 - x - 2*x^3 + x^4 + 3)/(3*x - 2*x^2 + x^3),x)","\ln\left(x\right)-\frac{\ln\left(x^2-2\,x+3\right)}{2}+\frac{x^2}{2}","Not used",1,"log(x) - log(x^2 - 2*x + 3)/2 + x^2/2","B"
274,1,25,29,2.125426,"\text{Not used}","int((x + x^3 - 1)/(x^2 + 1)^2,x)","\frac{\ln\left(x^2+1\right)}{2}-\frac{\mathrm{atan}\left(x\right)}{2}-\frac{x}{2\,\left(x^2+1\right)}","Not used",1,"log(x^2 + 1)/2 - atan(x)/2 - x/(2*(x^2 + 1))","B"
275,1,55,44,0.128567,"\text{Not used}","int((2*x - x^2 + 8*x^3 + x^4 + 1)/((x^3 + 1)*(x + x^2)),x)","\ln\left(x\right)-2\,\ln\left(x+1\right)-\frac{3}{x+1}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-1+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)","Not used",1,"log(x) - 2*log(x + 1) - 3/(x + 1) - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/3 - 1) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/3 + 1)","B"
276,1,88,46,0.159797,"\text{Not used}","int((x^2 - 5*x + x^3 + 15)/((x^2 + 5)*(2*x + x^2 + 3)),x)","\frac{\ln\left(x+1-\sqrt{2}\,1{}\mathrm{i}\right)}{2}+\frac{\ln\left(x+1+\sqrt{2}\,1{}\mathrm{i}\right)}{2}+\sqrt{5}\,\mathrm{atan}\left(\frac{2000\,\sqrt{5}}{2000\,x+1120}-\frac{224\,\sqrt{5}\,x}{2000\,x+1120}\right)-\frac{\sqrt{2}\,\ln\left(x+1-\sqrt{2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4}+\frac{\sqrt{2}\,\ln\left(x+1+\sqrt{2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4}","Not used",1,"log(x - 2^(1/2)*1i + 1)/2 + log(x + 2^(1/2)*1i + 1)/2 + 5^(1/2)*atan((2000*5^(1/2))/(2000*x + 1120) - (224*5^(1/2)*x)/(2000*x + 1120)) - (2^(1/2)*log(x - 2^(1/2)*1i + 1)*5i)/4 + (2^(1/2)*log(x + 2^(1/2)*1i + 1)*5i)/4","B"
277,1,56,33,2.162440,"\text{Not used}","int((25*x + 23*x^2 + 32*x^3 + 15*x^4 + 7*x^5 + x^6 - 3)/((x^2 + 1)^2*(x + x^2 + 2)^2),x)","-\frac{2\,x^2+3\,x+5}{x^4+x^3+3\,x^2+x+2}+\mathrm{atan}\left(\frac{\frac{x\,224{}\mathrm{i}}{11}+\frac{224}{11}{}\mathrm{i}}{44\,x^2+16\,x+60}-\frac{3}{11}{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"atan(((x*224i)/11 + 224i/11)/(16*x + 44*x^2 + 60) - 3i/11)*2i - (3*x + 2*x^2 + 5)/(x + 3*x^2 + x^3 + x^4 + 2)","B"
278,1,11,17,0.031678,"\text{Not used}","int(1/((x^2 + 1)*(x^2 + 4)),x)","\frac{\mathrm{atan}\left(x\right)}{3}-\frac{\mathrm{atan}\left(\frac{x}{2}\right)}{6}","Not used",1,"atan(x)/3 - atan(x/2)/6","B"
279,1,20,24,2.133851,"\text{Not used}","int((a + b*x^3)/(x^2 + 1),x)","\frac{b\,x^2}{2}-\frac{b\,\ln\left(x^2+1\right)}{2}+a\,\mathrm{atan}\left(x\right)","Not used",1,"(b*x^2)/2 - (b*log(x^2 + 1))/2 + a*atan(x)","B"
280,1,19,15,0.055624,"\text{Not used}","int((x + x^2)/((x^2 - 4)*(x + 4)),x)","\ln\left(x+4\right)+\frac{\mathrm{atanh}\left(\frac{90}{7\,\left(21\,x+48\right)}-\frac{8}{7}\right)}{2}","Not used",1,"log(x + 4) + atanh(90/(7*(21*x + 48)) - 8/7)/2","B"
281,1,17,20,0.049883,"\text{Not used}","int((x^2 + 4)/((x^2 + 1)*(x^2 + 2)),x)","3\,\mathrm{atan}\left(x\right)-\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)","Not used",1,"3*atan(x) - 2^(1/2)*atan((2^(1/2)*x)/2)","B"
282,1,35,37,2.143686,"\text{Not used}","int((3*x^2 - 4*x + x^4 + 5)/((x^2 + 1)*(x - 1)^2),x)","x+\frac{\ln\left(x-1\right)}{2}-\frac{5}{2\,\left(x-1\right)}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{3}{4}-\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{3}{4}+1{}\mathrm{i}\right)","Not used",1,"x + log(x - 1)/2 + log(x - 1i)*(3/4 - 1i) + log(x + 1i)*(3/4 + 1i) - 5/(2*(x - 1))","B"
283,1,21,26,0.030480,"\text{Not used}","int((x^4 + 1)/(x^2 + 2),x)","\frac{5\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)}{2}-2\,x+\frac{x^3}{3}","Not used",1,"(5*2^(1/2)*atan((2^(1/2)*x)/2))/2 - 2*x + x^3/3","B"
284,1,10,12,2.124687,"\text{Not used}","int((2*x + x^4 + 2)/(x^4 + x^5),x)","\ln\left(x+1\right)-\frac{2}{3\,x^3}","Not used",1,"log(x + 1) - 2/(3*x^3)","B"
285,1,21,21,2.143619,"\text{Not used}","int((5*x - 2*x^2 + 1)/(x + 2*x^2 - x^3 - 2),x)","2\,\ln\left(x-1\right)-2\,\mathrm{atanh}\left(\frac{144}{11\,\left(22\,x-50\right)}+\frac{13}{11}\right)","Not used",1,"2*log(x - 1) - 2*atanh(144/(11*(22*x - 50)) + 13/11)","B"
286,1,20,22,2.124333,"\text{Not used}","int((x + x^3 + 2)/(2*x^2 + x^4 + 1),x)","\frac{\ln\left(x^2+1\right)}{2}+\mathrm{atan}\left(x\right)+\frac{x}{x^2+1}","Not used",1,"log(x^2 + 1)/2 + atan(x) + x/(x^2 + 1)","B"
287,1,22,24,0.029344,"\text{Not used}","int((2*x + x^2 + x^3 + 1)/(2*x^2 + x^4 + 1),x)","\frac{\ln\left(x^2+1\right)}{2}+\mathrm{atan}\left(x\right)-\frac{1}{2\,\left(x^2+1\right)}","Not used",1,"log(x^2 + 1)/2 + atan(x) - 1/(2*(x^2 + 1))","B"
288,1,56,36,0.102801,"\text{Not used}","int((4*x + 3)/((x^2 + 1)*(x^2 + 2)),x)","\ln\left(x-\mathrm{i}\right)\,\left(2-\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(2+\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)\,\left(-2+\frac{\sqrt{2}\,3{}\mathrm{i}}{4}\right)-\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)\,\left(2+\frac{\sqrt{2}\,3{}\mathrm{i}}{4}\right)","Not used",1,"log(x - 1i)*(2 - 3i/2) + log(x + 1i)*(2 + 3i/2) + log(x - 2^(1/2)*1i)*((2^(1/2)*3i)/4 - 2) - log(x + 2^(1/2)*1i)*((2^(1/2)*3i)/4 + 2)","B"
289,1,37,37,2.136315,"\text{Not used}","int((x + 2)/((x^2 + 1)*(x^2 + 4)),x)","\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{6}-\frac{1}{3}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{6}+\frac{1}{3}{}\mathrm{i}\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{1}{6}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(-\frac{1}{6}-\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(1/6 - 1i/3) + log(x + 1i)*(1/6 + 1i/3) - log(x - 2i)*(1/6 - 1i/6) - log(x + 2i)*(1/6 + 1i/6)","B"
290,1,21,29,2.213583,"\text{Not used}","int(-(x^3 - x + 2)/(6*x - x^2 + 7),x)","6\,x-\frac{\ln\left(x+1\right)}{4}+\frac{169\,\ln\left(x-7\right)}{4}+\frac{x^2}{2}","Not used",1,"6*x - log(x + 1)/4 + (169*log(x - 7))/4 + x^2/2","B"
291,1,15,19,0.034219,"\text{Not used}","int((x^5 - 1)/(x^2 - 1),x)","\ln\left(x+1\right)+\frac{x^2}{2}+\frac{x^4}{4}","Not used",1,"log(x + 1) + x^2/2 + x^4/4","B"
292,1,36,41,0.043498,"\text{Not used}","int((2*x - x^2 + x^3 + 5)/(x + x^2 + 1),x)","\frac{3\,\ln\left(x^2+x+1\right)}{2}-2\,x+\frac{11\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)}{3}+\frac{x^2}{2}","Not used",1,"(3*log(x + x^2 + 1))/2 - 2*x + (11*3^(1/2)*atan((2*3^(1/2)*x)/3 + 3^(1/2)/3))/3 + x^2/2","B"
293,1,31,41,2.115557,"\text{Not used}","int((x - 2*x^3 + x^4 - 3)/(2*x^2 - 8*x + 10),x)","\frac{3\,x}{2}-6\,\mathrm{atan}\left(x-2\right)+\frac{3\,\ln\left(x^2-4\,x+5\right)}{4}+\frac{x^2}{2}+\frac{x^3}{6}","Not used",1,"(3*x)/2 - 6*atan(x - 2) + (3*log(x^2 - 4*x + 5))/4 + x^2/2 + x^3/6","B"
294,1,20,30,2.125100,"\text{Not used}","int((2*x + 3*x^2 + x^3 + 1)/((x - 1)*(x - 2)*(x - 3)),x)","x+\frac{7\,\ln\left(x-1\right)}{2}-25\,\ln\left(x-2\right)+\frac{61\,\ln\left(x-3\right)}{2}","Not used",1,"x + (7*log(x - 1))/2 - 25*log(x - 2) + (61*log(x - 3))/2","B"
295,1,27,35,0.044500,"\text{Not used}","int(-(x^2 - 7*x - x^3 + x^4 + 2)/(14*x - x^2 - x^3 + 24),x)","20\,\ln\left(x+3\right)-\frac{22\,\ln\left(x+2\right)}{3}-2\,x+\frac{13\,\ln\left(x-4\right)}{3}+\frac{x^2}{2}","Not used",1,"20*log(x + 3) - (22*log(x + 2))/3 - 2*x + (13*log(x - 4))/3 + x^2/2","B"
296,1,26,34,2.109019,"\text{Not used}","int((x^2 + 2)/(x*(x - 1)^2*(x + 1)),x)","2\,\ln\left(x\right)-\frac{3\,\ln\left(x+1\right)}{4}-\frac{5\,\ln\left(x-1\right)}{4}-\frac{3}{2\,\left(x-1\right)}","Not used",1,"2*log(x) - (3*log(x + 1))/4 - (5*log(x - 1))/4 - 3/(2*(x - 1))","B"
297,1,39,42,2.186951,"\text{Not used}","int((x^2 + x^3 + 3)/(x^2 + 2)^2,x)","\frac{\ln\left(x^2+2\right)}{2}+\frac{5\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}\right)}{8}+\frac{x}{4\,\left(x^2+2\right)}+\frac{1}{x^2+2}","Not used",1,"log(x^2 + 2)/2 + (5*2^(1/2)*atan((2^(1/2)*x)/2))/8 + x/(4*(x^2 + 2)) + 1/(x^2 + 2)","B"
298,1,41,49,0.071976,"\text{Not used}","int((70*x - 4*x^2 + 2*x^3 - 35)/((x^2 - 2*x + 17)*(x^2 - 10*x + 26)),x)","\ln\left(x-1-4{}\mathrm{i}\right)\,\left(\frac{22}{1025}+\frac{4607}{8200}{}\mathrm{i}\right)+\ln\left(x-1+4{}\mathrm{i}\right)\,\left(\frac{22}{1025}-\frac{4607}{8200}{}\mathrm{i}\right)+\ln\left(x-5-\mathrm{i}\right)\,\left(\frac{1003}{1025}-\frac{15033}{2050}{}\mathrm{i}\right)+\ln\left(x-5+1{}\mathrm{i}\right)\,\left(\frac{1003}{1025}+\frac{15033}{2050}{}\mathrm{i}\right)","Not used",1,"log(x - (1 + 4i))*(22/1025 + 4607i/8200) + log(x - (1 - 4i))*(22/1025 - 4607i/8200) + log(x - (5 + 1i))*(1003/1025 - 15033i/2050) + log(x - (5 - 1i))*(1003/1025 + 15033i/2050)","B"
299,1,19,29,2.182092,"\text{Not used}","int((x^2 + 2)/((x - 3)*(x + 4)*(x - 5)),x)","\frac{2\,\ln\left(x+4\right)}{7}-\frac{11\,\ln\left(x-3\right)}{14}+\frac{3\,\ln\left(x-5\right)}{2}","Not used",1,"(2*log(x + 4))/7 - (11*log(x - 3))/14 + (3*log(x - 5))/2","B"
300,1,50,46,0.086262,"\text{Not used}","int(x^4/((x^2 + 2)*(x - 1)),x)","x+\frac{\ln\left(x-1\right)}{3}+\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)-\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)\,\left(\frac{2}{3}+\frac{\sqrt{2}\,1{}\mathrm{i}}{3}\right)+\frac{x^2}{2}","Not used",1,"x + log(x - 1)/3 + log(x - 2^(1/2)*1i)*((2^(1/2)*1i)/3 - 2/3) - log(x + 2^(1/2)*1i)*((2^(1/2)*1i)/3 + 2/3) + x^2/2","B"
301,1,14,16,0.043062,"\text{Not used}","int(-(7*x + 2*x^2 - 1)/(x - x^2 - x^3 + 1),x)","2\,\ln\left(x-1\right)-\frac{3}{x+1}","Not used",1,"2*log(x - 1) - 3/(x + 1)","B"
302,1,12,21,2.085262,"\text{Not used}","int((2*x + 1)/(3*x - 3*x^2 + x^3 - 1),x)","-\frac{4\,x-1}{2\,{\left(x-1\right)}^2}","Not used",1,"-(4*x - 1)/(2*(x - 1)^2)","B"
303,1,15,15,2.088903,"\text{Not used}","int((7*x^2 - 5*x + x^3 + 5)/((x - 1)^2*(x + 1)^3),x)","-\frac{1}{x-1}-\frac{2}{{\left(x+1\right)}^2}","Not used",1,"- 1/(x - 1) - 2/(x + 1)^2","B"
304,1,57,31,0.112327,"\text{Not used}","int((3*x + 3*x^2 + 1)/(2*x + 2*x^2 + x^3 + 1),x)","\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+\ln\left(x+1\right)+\frac{\sqrt{3}\,\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3}-\frac{\sqrt{3}\,\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3}","Not used",1,"log(x - (3^(1/2)*1i)/2 + 1/2) + log(x + (3^(1/2)*1i)/2 + 1/2) + log(x + 1) + (3^(1/2)*log(x - (3^(1/2)*1i)/2 + 1/2)*1i)/3 - (3^(1/2)*log(x + (3^(1/2)*1i)/2 + 1/2)*1i)/3","B"
305,1,19,25,0.059554,"\text{Not used}","int((2*x + x^2 - 1)/(3*x^2 - 2*x + 2*x^3),x)","\frac{\mathrm{atanh}\left(\frac{24}{145\,\left(\frac{29\,x}{100}-\frac{11}{50}\right)}+\frac{35}{29}\right)}{5}+\frac{\ln\left(x\right)}{2}","Not used",1,"atanh(24/(145*((29*x)/100 - 11/50)) + 35/29)/5 + log(x)/2","B"
306,1,22,30,2.108066,"\text{Not used}","int(-(4*x - 2*x^2 + x^4 + 1)/(x + x^2 - x^3 - 1),x)","x-\frac{2}{x-1}+\frac{x^2}{2}+\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"x + atan(x*1i)*2i - 2/(x - 1) + x^2/2","B"
307,1,21,23,2.120541,"\text{Not used}","int((2*x^2 - x + 4)/(4*x + x^3),x)","\ln\left(x\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 2i)*(1/2 + 1i/4) + log(x + 2i)*(1/2 - 1i/4) + log(x)","B"
308,1,96,103,2.199774,"\text{Not used}","int((x^2 + x^3 + 1)/(x*(x^2 + 1)^3*(x - 1)*(x + x^2 + 1)),x)","\frac{\ln\left(x-1\right)}{8}-\ln\left(x\right)+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\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}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{\frac{9\,x^3}{16}-\frac{3\,x^2}{8}+\frac{11\,x}{16}-\frac{1}{4}}{x^4+2\,x^2+1}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{15}{16}-\frac{7}{32}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{15}{16}+\frac{7}{32}{}\mathrm{i}\right)","Not used",1,"log(x - 1)/8 + log(x - 1i)*(15/16 - 7i/32) + log(x + 1i)*(15/16 + 7i/32) - log(x) + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 - 1/2) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 + 1/2) + ((11*x)/16 - (3*x^2)/8 + (9*x^3)/16 - 1/4)/(2*x^2 + x^4 + 1)","B"
309,1,32,33,0.034582,"\text{Not used}","int(-(3*x - 2*x^2 + x^3 - 1)/(x^2 + 1)^2,x)","\frac{3\,\mathrm{atan}\left(x\right)}{2}-\frac{\ln\left(x^2+1\right)}{2}-\frac{x}{2\,\left(x^2+1\right)}+\frac{1}{x^2+1}","Not used",1,"(3*atan(x))/2 - log(x^2 + 1)/2 - x/(2*(x^2 + 1)) + 1/(x^2 + 1)","B"
310,1,33,33,2.112936,"\text{Not used}","int(-(3*x - 2*x^2 + x^3 - 1)/(x*(x^2 + 1)^2),x)","\ln\left(x\right)-\frac{x+\frac{1}{2}}{x^2+1}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}+1{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}-\mathrm{i}\right)","Not used",1,"log(x) - log(x + 1i)*(1/2 + 1i) - log(x - 1i)*(1/2 - 1i) - (x + 1/2)/(x^2 + 1)","B"
311,1,19,25,0.042566,"\text{Not used}","int(-(x^3 - x^2 - x + x^4 + 1)/(x - x^3),x)","x+\frac{\ln\left(x^2-1\right)}{2}-\ln\left(x\right)+\frac{x^2}{2}","Not used",1,"x + log(x^2 - 1)/2 - log(x) + x^2/2","B"
312,1,56,36,0.105754,"\text{Not used}","int((x^3 - 4*x^2 + 2)/((x^2 + 1)*(x^2 + 2)),x)","\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-3{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+3{}\mathrm{i}\right)+\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)\,\left(1+\frac{\sqrt{2}\,5{}\mathrm{i}}{2}\right)-\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)\,\left(-1+\frac{\sqrt{2}\,5{}\mathrm{i}}{2}\right)","Not used",1,"log(x - 2^(1/2)*1i)*((2^(1/2)*5i)/2 + 1) - log(x + 1i)*(1/2 - 3i) - log(x - 1i)*(1/2 + 3i) - log(x + 2^(1/2)*1i)*((2^(1/2)*5i)/2 - 1)","B"
313,1,23,29,0.042034,"\text{Not used}","int((x^2 + x^4 + 1)/((x^2 + 1)*(x^2 + 4)^2),x)","\frac{25\,\mathrm{atan}\left(\frac{x}{2}\right)}{144}+\frac{\mathrm{atan}\left(x\right)}{9}-\frac{13\,x}{24\,\left(x^2+4\right)}","Not used",1,"(25*atan(x/2))/144 + atan(x)/9 - (13*x)/(24*(x^2 + 4))","B"
314,1,49,46,2.169087,"\text{Not used}","int((x^2 + x^3 + 1)/(2*x^2 + x^3 + x^4),x)","-\frac{\ln\left(x\right)}{4}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{7}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{56}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{7}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{56}\right)-\frac{1}{2\,x}","Not used",1,"log(x + (7^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/56 + 5/8) - log(x - (7^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/56 - 5/8) - log(x)/4 - 1/(2*x)","B"
315,1,14,22,0.039391,"\text{Not used}","int((x^2 - 12*x + x^3 + 1)/(x + x^2 - 12),x)","\frac{x^2}{2}-\frac{2\,\mathrm{atanh}\left(\frac{2\,x}{7}+\frac{1}{7}\right)}{7}","Not used",1,"x^2/2 - (2*atanh((2*x)/7 + 1/7))/7","B"
316,1,15,17,0.065039,"\text{Not used}","int((5*x + 6*x^2 - 3)/(2*x^2 - 3*x + x^3),x)","2\,\ln\left(x-1\right)+3\,\ln\left(x+3\right)+\ln\left(x\right)","Not used",1,"2*log(x - 1) + 3*log(x + 3) + log(x)","B"
317,1,14,14,2.120247,"\text{Not used}","int((3*x + 5*x^2 - 2)/(2*x^2 + x^3),x)","3\,\ln\left(x+2\right)+2\,\ln\left(x\right)+\frac{1}{x}","Not used",1,"3*log(x + 2) + 2*log(x) + 1/x","B"
318,1,17,19,2.115759,"\text{Not used}","int(-(2*x + 4*x^2 - 18)/(x + 4*x^2 + x^3 - 6),x)","\ln\left(x-1\right)-2\,\ln\left(x+2\right)-3\,\ln\left(x+3\right)","Not used",1,"log(x - 1) - 2*log(x + 2) - 3*log(x + 3)","B"
319,1,33,23,0.054076,"\text{Not used}","int((x - 2*x^2 + x^3 + 1)/(5*x^2 + x^4 + 4),x)","-\mathrm{atan}\left(\frac{1305}{4\,\left(144\,x-162\right)}+\frac{9}{8}\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{3}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{3}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 2i)*(1/2 + 3i/4) + log(x + 2i)*(1/2 - 3i/4) - atan(1305/(4*(144*x - 162)) + 9/8)","B"
320,1,58,63,2.213059,"\text{Not used}","int(-(5*x - 27*x^2 + 4*x^3 - 32)/(299*x + 286*x^2 - 50*x^3 + 13*x^4 - 30*x^5 + 70),x)","\frac{4822\,\ln\left(x+\frac{2}{5}\right)}{4879}-\frac{334\,\ln\left(x+\frac{1}{2}\right)}{323}-\frac{3146\,\ln\left(x-\frac{7}{3}\right)}{80155}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{19}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{11049}{260015}+\frac{\sqrt{19}\,1994{}\mathrm{i}}{260015}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{19}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{11049}{260015}+\frac{\sqrt{19}\,1994{}\mathrm{i}}{260015}\right)","Not used",1,"(4822*log(x + 2/5))/4879 - (334*log(x + 1/2))/323 - (3146*log(x - 7/3))/80155 - log(x - (19^(1/2)*1i)/2 + 1/2)*((19^(1/2)*1994i)/260015 - 11049/260015) + log(x + (19^(1/2)*1i)/2 + 1/2)*((19^(1/2)*1994i)/260015 + 11049/260015)","B"
321,1,71,69,2.177362,"\text{Not used}","int(-(13*x^2 + 7*x^3 - 12*x^5 - 8)/(41*x^2 - 20*x - 80*x^3 + 116*x^4 - 80*x^5 + 100*x^6 + 4),x)","-\frac{59096\,\ln\left(x-\frac{2}{5}\right)}{99825}-\frac{\frac{18229\,x^2}{60500}+\frac{17\,x}{440}+\frac{1277}{60500}}{x^3-\frac{2\,x^2}{5}+\frac{x}{2}-\frac{1}{5}}-\ln\left(x-\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{2843}{7986}+\frac{\sqrt{2}\,503{}\mathrm{i}}{31944}\right)+\ln\left(x+\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{2843}{7986}+\frac{\sqrt{2}\,503{}\mathrm{i}}{31944}\right)","Not used",1,"log(x + (2^(1/2)*1i)/2)*((2^(1/2)*503i)/31944 + 2843/7986) - ((17*x)/440 + (18229*x^2)/60500 + 1277/60500)/(x/2 - (2*x^2)/5 + x^3 - 1/5) - log(x - (2^(1/2)*1i)/2)*((2^(1/2)*503i)/31944 - 2843/7986) - (59096*log(x - 2/5))/99825","B"
322,1,13,17,0.033117,"\text{Not used}","int((x^4 + 9)/(x^2*(x^2 + 9)),x)","x-\frac{10\,\mathrm{atan}\left(\frac{x}{3}\right)}{3}-\frac{1}{x}","Not used",1,"x - (10*atan(x/3))/3 - 1/x","B"
323,1,17,19,2.098413,"\text{Not used}","int((2*x + x^4)/(x^2 + 1),x)","\ln\left(x^2+1\right)-x+\mathrm{atan}\left(x\right)+\frac{x^3}{3}","Not used",1,"log(x^2 + 1) - x + atan(x) + x^3/3","B"
324,1,19,9,2.103623,"\text{Not used}","int(-(x - x^3)/((x^2 + 1)*(x - 1)^2),x)","\ln\left(x-1\right)-\mathrm{atan}\left(\frac{5}{4\,x+2}-\frac{1}{2}\right)","Not used",1,"log(x - 1) - atan(5/(4*x + 2) - 1/2)","B"
325,1,12,12,0.028352,"\text{Not used}","int((5*x + 3*x^2 + 2*x^3 + 2)/(x + x^2 + 1),x)","x+\ln\left(x^2+x+1\right)+x^2","Not used",1,"x + log(x + x^2 + 1) + x^2","B"
326,1,48,65,0.098838,"\text{Not used}","int(-(4*x + 5*x^2 - 3*x^3 - 3)/(x^3*(x + x^2 - 1)),x)","3\,\ln\left(x\right)-\frac{x-\frac{3}{2}}{x^2}+\ln\left(x-\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{10}-\frac{3}{2}\right)-\ln\left(x+\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{10}+\frac{3}{2}\right)","Not used",1,"3*log(x) - (x - 3/2)/x^2 + log(x - 5^(1/2)/2 + 1/2)*(5^(1/2)/10 - 3/2) - log(x + 5^(1/2)/2 + 1/2)*(5^(1/2)/10 + 3/2)","B"
327,1,28,28,0.038197,"\text{Not used}","int((8*x + 5*x^2 + 2*x^3 + 4)/(2*x + x^2 + 2)^2,x)","\ln\left(x^2+2\,x+2\right)-\mathrm{atan}\left(x+1\right)-\frac{1}{x^2+2\,x+2}","Not used",1,"log(2*x + x^2 + 2) - atan(x + 1) - 1/(2*x + x^2 + 2)","B"
328,1,26,32,0.024546,"\text{Not used}","int((x^4*(x - 1)^4)/(x^2 + 1),x)","4\,x-4\,\mathrm{atan}\left(x\right)-\frac{4\,x^3}{3}+x^5-\frac{2\,x^6}{3}+\frac{x^7}{7}","Not used",1,"4*x - 4*atan(x) - (4*x^3)/3 + x^5 - (2*x^6)/3 + x^7/7","B"
329,1,23,31,0.049847,"\text{Not used}","int(-(20*x - 4*x^2)/(x^4 - 10*x^2 + 9),x)","\ln\left(x-1\right)+\frac{3\,\ln\left(x+1\right)}{2}-\frac{\ln\left(x-3\right)}{2}-2\,\ln\left(x+3\right)","Not used",1,"log(x - 1) + (3*log(x + 1))/2 - log(x - 3)/2 - 2*log(x + 3)","B"
330,1,30,24,2.129072,"\text{Not used}","int((x + 4*x^3 - 1)/(x^2*(x^2 + 1)*(x - 1)),x)","2\,\ln\left(x-1\right)-\frac{1}{x}+\ln\left(x-\mathrm{i}\right)\,\left(-1-\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-1+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"2*log(x - 1) - log(x - 1i)*(1 + 1i/2) - log(x + 1i)*(1 - 1i/2) - 1/x","B"
331,1,23,23,0.032592,"\text{Not used}","int((2*x^2 - 3*x - 4*x^3 + x^4 + 1)/(x^2 + 1)^3,x)","\mathrm{atan}\left(x\right)+\frac{2\,x^2+\frac{7}{4}}{x^4+2\,x^2+1}","Not used",1,"atan(x) + (2*x^2 + 7/4)/(2*x^2 + x^4 + 1)","B"
332,1,23,23,0.029887,"\text{Not used}","int((2*x^2 - 3*x - 4*x^3 + x^4 + 1)/(3*x^2 + 3*x^4 + x^6 + 1),x)","\mathrm{atan}\left(x\right)+\frac{2\,x^2+\frac{7}{4}}{x^4+2\,x^2+1}","Not used",1,"atan(x) + (2*x^2 + 7/4)/(2*x^2 + x^4 + 1)","B"
333,1,13,13,2.144115,"\text{Not used}","int((x + 2*x^2 + 2*x^3 + 1)/(x^2 + x^3 + x^4),x)","\ln\left(x^2+x+1\right)-\frac{1}{x}","Not used",1,"log(x + x^2 + 1) - 1/x","B"
334,1,357,206,0.230566,"\text{Not used}","int((x^2*(c + d*x)^2)/(a + b*x^3),x)","\left(\sum _{k=1}^3\ln\left(\frac{a\,\left(b\,c^4+{\mathrm{root}\left(27\,b^5\,z^3-27\,b^4\,c^2\,z^2+18\,a\,b^2\,c\,d^3\,z+9\,b^3\,c^4\,z+2\,a\,b\,c^3\,d^3-b^2\,c^6-a^2\,d^6,z,k\right)}^2\,b^3\,9-\mathrm{root}\left(27\,b^5\,z^3-27\,b^4\,c^2\,z^2+18\,a\,b^2\,c\,d^3\,z+9\,b^3\,c^4\,z+2\,a\,b\,c^3\,d^3-b^2\,c^6-a^2\,d^6,z,k\right)\,b^2\,c^2\,6+2\,a\,c\,d^3+a\,d^4\,x+2\,b\,c^3\,d\,x-\mathrm{root}\left(27\,b^5\,z^3-27\,b^4\,c^2\,z^2+18\,a\,b^2\,c\,d^3\,z+9\,b^3\,c^4\,z+2\,a\,b\,c^3\,d^3-b^2\,c^6-a^2\,d^6,z,k\right)\,b^2\,c\,d\,x\,6\right)}{b}\right)\,\mathrm{root}\left(27\,b^5\,z^3-27\,b^4\,c^2\,z^2+18\,a\,b^2\,c\,d^3\,z+9\,b^3\,c^4\,z+2\,a\,b\,c^3\,d^3-b^2\,c^6-a^2\,d^6,z,k\right)\right)+\frac{d^2\,x^2}{2\,b}+\frac{2\,c\,d\,x}{b}","Not used",1,"symsum(log((a*(b*c^4 + 9*root(27*b^5*z^3 - 27*b^4*c^2*z^2 + 18*a*b^2*c*d^3*z + 9*b^3*c^4*z + 2*a*b*c^3*d^3 - b^2*c^6 - a^2*d^6, z, k)^2*b^3 - 6*root(27*b^5*z^3 - 27*b^4*c^2*z^2 + 18*a*b^2*c*d^3*z + 9*b^3*c^4*z + 2*a*b*c^3*d^3 - b^2*c^6 - a^2*d^6, z, k)*b^2*c^2 + 2*a*c*d^3 + a*d^4*x + 2*b*c^3*d*x - 6*root(27*b^5*z^3 - 27*b^4*c^2*z^2 + 18*a*b^2*c*d^3*z + 9*b^3*c^4*z + 2*a*b*c^3*d^3 - b^2*c^6 - a^2*d^6, z, k)*b^2*c*d*x))/b)*root(27*b^5*z^3 - 27*b^4*c^2*z^2 + 18*a*b^2*c*d^3*z + 9*b^3*c^4*z + 2*a*b*c^3*d^3 - b^2*c^6 - a^2*d^6, z, k), k, 1, 3) + (d^2*x^2)/(2*b) + (2*c*d*x)/b","B"
335,1,42,45,2.191083,"\text{Not used}","int((2*x^3 - x + 4*x^5)/(2*x^2 + x^4 + 3)^2,x)","\frac{9\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x^2}{2}+\frac{\sqrt{2}}{2}\right)}{16}-\frac{\frac{7\,x^2}{8}-\frac{5}{8}}{x^4+2\,x^2+3}","Not used",1,"(9*2^(1/2)*atan(2^(1/2)/2 + (2^(1/2)*x^2)/2))/16 - ((7*x^2)/8 - 5/8)/(2*x^2 + x^4 + 3)","B"
336,1,47,59,0.048931,"\text{Not used}","int((x + x^5)/(2*x^2 + 2*x^4 + 1)^3,x)","\mathrm{atan}\left(2\,x^2+1\right)+\frac{\frac{x^6}{2}+\frac{3\,x^4}{4}+\frac{9\,x^2}{16}+\frac{11}{64}}{x^8+2\,x^6+2\,x^4+x^2+\frac{1}{4}}","Not used",1,"atan(2*x^2 + 1) + ((9*x^2)/16 + (3*x^4)/4 + x^6/2 + 11/64)/(x^2 + 2*x^4 + 2*x^6 + x^8 + 1/4)","B"
337,1,3942,209,3.436664,"\text{Not used}","int((a + b*x + c*x^2)/(d + e*x^2 + f*x^4),x)","\sum _{k=1}^4\ln\left(a\,b^2\,f^2-a^2\,c\,f^2+b^3\,f^2\,x-c^3\,d\,f-{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^3\,e^3\,f^2\,x\,8+a\,c^2\,e\,f-{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^2\,a\,d\,f^3\,16-\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,a^2\,f^3\,x\,4+{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^2\,a\,e^2\,f^2\,4+{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^2\,b\,d\,f^3\,x\,16+\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,b^2\,e\,f^2\,x\,2+\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,c^2\,d\,f^2\,x\,4-\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,c^2\,e^2\,f\,x\,2+{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^3\,d\,e\,f^3\,x\,32-{\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)}^2\,b\,e^2\,f^2\,x\,4+\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,a\,b\,e\,f^2\,4-\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,b\,c\,d\,f^2\,8-2\,a\,b\,c\,f^2\,x+b\,c^2\,e\,f\,x+\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)\,a\,c\,e\,f^2\,x\,4\right)\,\mathrm{root}\left(16\,d\,e^4\,f\,z^4-128\,d^2\,e^2\,f^2\,z^4+256\,d^3\,f^3\,z^4-16\,a\,c\,d\,e^2\,f\,z^2-16\,c^2\,d^2\,e\,f\,z^2-8\,b^2\,d\,e^2\,f\,z^2-16\,a^2\,d\,e\,f^2\,z^2+64\,a\,c\,d^2\,f^2\,z^2+32\,b^2\,d^2\,f^2\,z^2+4\,c^2\,d\,e^3\,z^2+4\,a^2\,e^3\,f\,z^2+16\,b\,c^2\,d^2\,f\,z+4\,a^2\,b\,e^2\,f\,z-4\,b\,c^2\,d\,e^2\,z-16\,a^2\,b\,d\,f^2\,z-4\,a\,b^2\,c\,d\,f+2\,a^2\,c^2\,d\,f-2\,a^3\,c\,e\,f-2\,a\,c^3\,d\,e+b^2\,c^2\,d\,e+a^2\,b^2\,e\,f+b^4\,d\,f+a^2\,c^2\,e^2+c^4\,d^2+a^4\,f^2,z,k\right)","Not used",1,"symsum(log(a*b^2*f^2 - a^2*c*f^2 + b^3*f^2*x - c^3*d*f - 8*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^3*e^3*f^2*x + a*c^2*e*f - 16*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^2*a*d*f^3 - 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*a^2*f^3*x + 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^2*a*e^2*f^2 + 16*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^2*b*d*f^3*x + 2*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*b^2*e*f^2*x + 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*c^2*d*f^2*x - 2*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*c^2*e^2*f*x + 32*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^3*d*e*f^3*x - 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)^2*b*e^2*f^2*x + 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*a*b*e*f^2 - 8*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*b*c*d*f^2 - 2*a*b*c*f^2*x + b*c^2*e*f*x + 4*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k)*a*c*e*f^2*x)*root(16*d*e^4*f*z^4 - 128*d^2*e^2*f^2*z^4 + 256*d^3*f^3*z^4 - 16*a*c*d*e^2*f*z^2 - 16*c^2*d^2*e*f*z^2 - 8*b^2*d*e^2*f*z^2 - 16*a^2*d*e*f^2*z^2 + 64*a*c*d^2*f^2*z^2 + 32*b^2*d^2*f^2*z^2 + 4*c^2*d*e^3*z^2 + 4*a^2*e^3*f*z^2 + 16*b*c^2*d^2*f*z + 4*a^2*b*e^2*f*z - 4*b*c^2*d*e^2*z - 16*a^2*b*d*f^2*z - 4*a*b^2*c*d*f + 2*a^2*c^2*d*f - 2*a^3*c*e*f - 2*a*c^3*d*e + b^2*c^2*d*e + a^2*b^2*e*f + b^4*d*f + a^2*c^2*e^2 + c^4*d^2 + a^4*f^2, z, k), k, 1, 4)","B"
338,1,3046,224,3.220070,"\text{Not used}","int((d + e*x)^2/(a + b*x^2 + c*x^4),x)","\sum _{k=1}^4\ln\left(3\,c^2\,d^4\,e^2-a\,c\,e^6-{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^3\,b^3\,c^2\,x\,8+4\,c^2\,d^3\,e^3\,x+{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,b^2\,c^2\,d^2\,4+b\,c\,d^2\,e^4-\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,c^3\,d^4\,x\,4-{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,a\,c^3\,d^2\,16+{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^3\,a\,b\,c^3\,x\,32+\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,a\,c^2\,e^4\,x\,4-\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,b^2\,c\,e^4\,x\,2+2\,b\,c\,d\,e^5\,x-\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,a\,c^2\,d\,e^3\,16+\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,b\,c^2\,d^3\,e\,8+{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,a\,c^3\,d\,e\,x\,32+\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,b\,c^2\,d^2\,e^2\,x\,12-{\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,b^2\,c^2\,d\,e\,x\,8\right)\,\mathrm{root}\left(16\,a\,b^4\,c\,z^4-128\,a^2\,b^2\,c^2\,z^4+256\,a^3\,c^3\,z^4-48\,a\,b^2\,c\,d^2\,e^2\,z^2-16\,a^2\,b\,c\,e^4\,z^2-16\,a\,b\,c^2\,d^4\,z^2+192\,a^2\,c^2\,d^2\,e^2\,z^2+4\,b^3\,c\,d^4\,z^2+4\,a\,b^3\,e^4\,z^2+8\,b^2\,c\,d^5\,e\,z+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z-8\,a\,b^2\,d\,e^5\,z+2\,b\,c\,d^6\,e^2+2\,a\,c\,d^4\,e^4+2\,a\,b\,d^2\,e^6+b^2\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)","Not used",1,"symsum(log(3*c^2*d^4*e^2 - a*c*e^6 - 8*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^3*b^3*c^2*x + 4*c^2*d^3*e^3*x + 4*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*b^2*c^2*d^2 + b*c*d^2*e^4 - 4*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*c^3*d^4*x - 16*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*a*c^3*d^2 + 32*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^3*a*b*c^3*x + 4*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*a*c^2*e^4*x - 2*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*b^2*c*e^4*x + 2*b*c*d*e^5*x - 16*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*a*c^2*d*e^3 + 8*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*b*c^2*d^3*e + 32*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*a*c^3*d*e*x + 12*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*b*c^2*d^2*e^2*x - 8*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*b^2*c^2*d*e*x)*root(16*a*b^4*c*z^4 - 128*a^2*b^2*c^2*z^4 + 256*a^3*c^3*z^4 - 48*a*b^2*c*d^2*e^2*z^2 - 16*a^2*b*c*e^4*z^2 - 16*a*b*c^2*d^4*z^2 + 192*a^2*c^2*d^2*e^2*z^2 + 4*b^3*c*d^4*z^2 + 4*a*b^3*e^4*z^2 + 8*b^2*c*d^5*e*z + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z - 8*a*b^2*d*e^5*z + 2*b*c*d^6*e^2 + 2*a*c*d^4*e^4 + 2*a*b*d^2*e^6 + b^2*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k), k, 1, 4)","B"
339,1,61,56,0.213238,"\text{Not used}","int(x^2/((a + b*x)*(c + d*x)),x)","-\frac{a^2\,d^2\,\ln\left(a+b\,x\right)-b^2\,c^2\,\ln\left(c+d\,x\right)-a\,b\,d^2\,x+b^2\,c\,d\,x}{b^2\,d^2\,\left(a\,d-b\,c\right)}","Not used",1,"-(a^2*d^2*log(a + b*x) - b^2*c^2*log(c + d*x) - a*b*d^2*x + b^2*c*d*x)/(b^2*d^2*(a*d - b*c))","B"
340,1,347,96,1.131450,"\text{Not used}","int(x^2/((a + b*x^2)*(c + d*x)),x)","\frac{\ln\left(a\,c+a\,d\,x+\frac{\left(c\,\sqrt{-a\,b^3}+a\,b\,d\right)\,\left(x\,\left(2\,b^2\,c^2-5\,a\,b\,d^2\right)-5\,a\,b\,c\,d+\frac{2\,b^2\,d\,\left(c\,\sqrt{-a\,b^3}+a\,b\,d\right)\,\left(-b\,x\,c^2+4\,a\,c\,d+3\,a\,x\,d^2\right)}{2\,b^3\,c^2+2\,a\,b^2\,d^2}\right)}{2\,b^3\,c^2+2\,a\,b^2\,d^2}\right)\,\left(c\,\sqrt{-a\,b^3}+a\,b\,d\right)}{2\,b^3\,c^2+2\,a\,b^2\,d^2}-\frac{\ln\left(a\,c+a\,d\,x+\frac{\left(c\,\sqrt{-a\,b^3}-a\,b\,d\right)\,\left(b\,x\,\left(5\,a\,d^2-2\,b\,c^2\right)+5\,a\,b\,c\,d+\frac{d\,\left(c\,\sqrt{-a\,b^3}-a\,b\,d\right)\,\left(-b\,x\,c^2+4\,a\,c\,d+3\,a\,x\,d^2\right)}{b\,c^2+a\,d^2}\right)}{2\,b^2\,\left(b\,c^2+a\,d^2\right)}\right)\,\left(c\,\sqrt{-a\,b^3}-a\,b\,d\right)}{2\,\left(b^3\,c^2+a\,b^2\,d^2\right)}+\frac{c^2\,\ln\left(c+d\,x\right)}{b\,c^2\,d+a\,d^3}","Not used",1,"(log(a*c + a*d*x + ((c*(-a*b^3)^(1/2) + a*b*d)*(x*(2*b^2*c^2 - 5*a*b*d^2) - 5*a*b*c*d + (2*b^2*d*(c*(-a*b^3)^(1/2) + a*b*d)*(4*a*c*d + 3*a*d^2*x - b*c^2*x))/(2*b^3*c^2 + 2*a*b^2*d^2)))/(2*b^3*c^2 + 2*a*b^2*d^2))*(c*(-a*b^3)^(1/2) + a*b*d))/(2*b^3*c^2 + 2*a*b^2*d^2) - (log(a*c + a*d*x + ((c*(-a*b^3)^(1/2) - a*b*d)*(b*x*(5*a*d^2 - 2*b*c^2) + 5*a*b*c*d + (d*(c*(-a*b^3)^(1/2) - a*b*d)*(4*a*c*d + 3*a*d^2*x - b*c^2*x))/(a*d^2 + b*c^2)))/(2*b^2*(a*d^2 + b*c^2)))*(c*(-a*b^3)^(1/2) - a*b*d))/(2*(b^3*c^2 + a*b^2*d^2)) + (c^2*log(c + d*x))/(a*d^3 + b*c^2*d)","B"
341,1,570,264,2.495654,"\text{Not used}","int(x^2/((a + b*x^3)*(c + d*x)),x)","\left(\sum _{k=1}^3\ln\left(-a\,b\,d\,\left(c+d\,x+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^2\,b^2\,c^3\,3+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^3\,b^3\,c^4\,9-\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)\,b\,c^2\,5-{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^2\,a\,b\,d^3\,3-\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)\,b\,c\,d\,x\,8+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^3\,a\,b^2\,c\,d^3\,45+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^3\,a\,b^2\,d^4\,x\,36+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^2\,b^2\,c^2\,d\,x\,9+{\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)}^3\,b^3\,c^3\,d\,x\,18\right)\right)\,\mathrm{root}\left(27\,a\,b^2\,d^3\,z^3-27\,b^3\,c^3\,z^3+27\,b^2\,c^2\,z^2-9\,b\,c\,z+1,z,k\right)\right)+\frac{c^2\,\ln\left(c+d\,x\right)}{a\,d^3-b\,c^3}","Not used",1,"symsum(log(-a*b*d*(c + d*x + 3*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^2*b^2*c^3 + 9*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^3*b^3*c^4 - 5*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)*b*c^2 - 3*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^2*a*b*d^3 - 8*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)*b*c*d*x + 45*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^3*a*b^2*c*d^3 + 36*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^3*a*b^2*d^4*x + 9*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^2*b^2*c^2*d*x + 18*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k)^3*b^3*c^3*d*x))*root(27*a*b^2*d^3*z^3 - 27*b^3*c^3*z^3 + 27*b^2*c^2*z^2 - 9*b*c*z + 1, z, k), k, 1, 3) + (c^2*log(c + d*x))/(a*d^3 - b*c^3)","B"
342,1,823,417,2.448839,"\text{Not used}","int(x^2/((a + b*x^4)*(c + d*x)),x)","\left(\sum _{k=1}^4\ln\left(a\,b^2\,d\,\left(c\,d+d^2\,x-\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)\,b\,c^3+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^2\,b^2\,c^4\,x\,4+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^2\,a\,b\,d^4\,x\,36-{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^4\,a\,b^3\,c^5\,d\,128-\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)\,b\,c^2\,d\,x\,5+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^3\,a\,b^2\,c^3\,d^2\,96+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^4\,a^2\,b^2\,c\,d^5\,384+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^4\,a^2\,b^2\,d^6\,x\,320+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^2\,a\,b\,c\,d^3\,32+{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^3\,a\,b^2\,c^2\,d^3\,x\,160-{\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)}^4\,a\,b^3\,c^4\,d^2\,x\,192\right)\right)\,\mathrm{root}\left(256\,a^2\,b^2\,d^4\,z^4+256\,a\,b^3\,c^4\,z^4+256\,a\,b^2\,c^2\,d\,z^3+32\,a\,b\,d^2\,z^2+1,z,k\right)\right)+\frac{c^2\,d\,\ln\left(c+d\,x\right)}{b\,c^4+a\,d^4}","Not used",1,"symsum(log(a*b^2*d*(c*d + d^2*x - root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)*b*c^3 + 4*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^2*b^2*c^4*x + 36*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^2*a*b*d^4*x - 128*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^4*a*b^3*c^5*d - 5*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)*b*c^2*d*x + 96*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^3*a*b^2*c^3*d^2 + 384*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^4*a^2*b^2*c*d^5 + 320*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^4*a^2*b^2*d^6*x + 32*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^2*a*b*c*d^3 + 160*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^3*a*b^2*c^2*d^3*x - 192*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k)^4*a*b^3*c^4*d^2*x))*root(256*a^2*b^2*d^4*z^4 + 256*a*b^3*c^4*z^4 + 256*a*b^2*c^2*d*z^3 + 32*a*b*d^2*z^2 + 1, z, k), k, 1, 4) + (c^2*d*log(c + d*x))/(a*d^4 + b*c^4)","B"
343,1,12,16,0.038684,"\text{Not used}","int(-x/((x - 1)*(x + 1)^2),x)","\frac{\mathrm{atanh}\left(x\right)}{2}+\frac{1}{2\,\left(x+1\right)}","Not used",1,"atanh(x)/2 + 1/(2*(x + 1))","B"
344,1,17,19,2.138059,"\text{Not used}","int(-x^2/((x^2 - 1)*(x^2 + 1)^2),x)","\frac{\mathrm{atanh}\left(x\right)}{4}-\frac{x}{4\,\left(x^2+1\right)}","Not used",1,"atanh(x)/4 - x/(4*(x^2 + 1))","B"
345,1,103,97,0.177446,"\text{Not used}","int(-x^3/((x^3 - 1)*(x^3 + 1)^2),x)","-\frac{\ln\left(x-1\right)}{12}-\frac{\ln\left(x+1\right)}{36}-\frac{x}{6\,\left(x^3+1\right)}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{72}+\frac{\sqrt{3}\,1{}\mathrm{i}}{72}\right)","Not used",1,"log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/24 + 1/24) - log(x + 1)/36 - x/(6*(x^3 + 1)) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/24 - 1/24) - log(x - 1)/12 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/72 + 1/72) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/72 - 1/72)","B"
346,1,13,15,2.119616,"\text{Not used}","int((x + 3*x^2 + x^3 + 9)/((x^2 + 1)*(x^2 + 3)),x)","\frac{\ln\left(x^2+3\right)}{2}+3\,\mathrm{atan}\left(x\right)","Not used",1,"log(x^2 + 3)/2 + 3*atan(x)","B"
347,1,11,13,0.035291,"\text{Not used}","int((x + x^2 + x^3 + 3)/((x^2 + 1)*(x^2 + 3)),x)","\frac{\ln\left(x^2+3\right)}{2}+\mathrm{atan}\left(x\right)","Not used",1,"log(x^2 + 3)/2 + atan(x)","B"
348,1,51,29,2.153074,"\text{Not used}","int((6*x - x^2 + 3*x^3 - 4)/((x^2 + 1)*(x^2 + 2)),x)","-\sqrt{2}\,\mathrm{atan}\left(\frac{24\,\sqrt{2}}{24\,x-64}+\frac{32\,\sqrt{2}\,x}{24\,x-64}\right)+\ln\left(x-\mathrm{i}\right)\,\left(\frac{3}{2}+\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{3}{2}-\frac{3}{2}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(3/2 + 3i/2) + log(x + 1i)*(3/2 - 3i/2) - 2^(1/2)*atan((24*2^(1/2))/(24*x - 64) + (32*2^(1/2)*x)/(24*x - 64))","B"
349,1,14,14,0.041570,"\text{Not used}","int(1/((x^2 - 4*x + 4)*(x^2 - 4*x + 5)),x)","-\mathrm{atan}\left(x-2\right)-\frac{1}{x-2}","Not used",1,"- atan(x - 2) - 1/(x - 2)","B"
350,1,10,12,0.036801,"\text{Not used}","int((x + x^2 - 3)/(x^2*(x - 3)),x)","\ln\left(x-3\right)-\frac{1}{x}","Not used",1,"log(x - 3) - 1/x","B"
351,1,17,11,2.166224,"\text{Not used}","int((x + 4*x^2 + 1)/(x + 4*x^3),x)","\ln\left(x\right)-\frac{\mathrm{atan}\left(\frac{17}{32\,\left(\frac{x}{16}-\frac{1}{8}\right)}+4\right)}{2}","Not used",1,"log(x) - atan(17/(32*(x/16 - 1/8)) + 4)/2","B"
352,1,10,12,0.039120,"\text{Not used}","int(-(3*x^2 - x + 1)/(x^2 - x^3),x)","3\,\ln\left(x-1\right)+\frac{1}{x}","Not used",1,"3*log(x - 1) + 1/x","B"
353,1,12,12,0.046722,"\text{Not used}","int((3*x + x^2 + 4)/(x + x^2),x)","x-2\,\ln\left(x+1\right)+4\,\ln\left(x\right)","Not used",1,"x - 2*log(x + 1) + 4*log(x)","B"
354,1,23,17,2.283502,"\text{Not used}","int((x + 3*x^2 + 4)/(x + x^3),x)","4\,\ln\left(x\right)+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"4*log(x) - log(x + 1i)*(1/2 - 1i/2) - log(x - 1i)*(1/2 + 1i/2)","B"
355,1,19,13,0.059604,"\text{Not used}","int((8*x^2 - 4*x + 7)/((4*x + 1)*(x^2 + 1)),x)","\mathrm{atan}\left(\frac{4\,x+1}{x-4}\right)+2\,\ln\left(x+\frac{1}{4}\right)","Not used",1,"atan((4*x + 1)/(x - 4)) + 2*log(x + 1/4)","B"
356,1,20,28,0.069264,"\text{Not used}","int(x^2/((x - 1)*(2*x + x^2 + 1)),x)","\frac{\ln\left(x-1\right)}{4}+\frac{3\,\ln\left(x+1\right)}{4}+\frac{1}{2\,\left(x+1\right)}","Not used",1,"log(x - 1)/4 + (3*log(x + 1))/4 + 1/(2*(x + 1))","B"
357,1,22,32,2.226491,"\text{Not used}","int((3*x + x^2 - 4)/((2*x - 1)^2*(2*x + 3)),x)","\frac{41\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{25\,\ln\left(x+\frac{3}{2}\right)}{128}+\frac{9}{64\,\left(x-\frac{1}{2}\right)}","Not used",1,"(41*log(x - 1/2))/128 - (25*log(x + 3/2))/128 + 9/(64*(x - 1/2))","B"
358,1,25,23,0.049103,"\text{Not used}","int((3*x^2 - 4*x + 5)/((x^2 + 1)*(x - 1)),x)","2\,\ln\left(x-1\right)+\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{3}{2}{}\mathrm{i}\right)","Not used",1,"2*log(x - 1) + log(x - 1i)*(1/2 + 3i/2) + log(x + 1i)*(1/2 - 3i/2)","B"
359,1,28,24,2.110612,"\text{Not used}","int(-(2*x - x^2 + 1)/((x^2 + 1)*(x - 1)^2),x)","\ln\left(x-1\right)+\frac{1}{x-1}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(x - 1) - log(x - 1i)*(1/2 + 1i/2) - log(x + 1i)*(1/2 - 1i/2) + 1/(x - 1)","B"
360,1,41,49,2.156385,"\text{Not used}","int((x^3 + 5)/((x^2 - x + 1/2)*(x^2 - 6*x + 10)),x)","\ln\left(x-3-\mathrm{i}\right)\,\left(\frac{56}{221}-\frac{513}{221}{}\mathrm{i}\right)+\ln\left(x-3+1{}\mathrm{i}\right)\,\left(\frac{56}{221}+\frac{513}{221}{}\mathrm{i}\right)+\ln\left(x-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{109}{442}-\frac{261}{442}{}\mathrm{i}\right)+\ln\left(x-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\left(\frac{109}{442}+\frac{261}{442}{}\mathrm{i}\right)","Not used",1,"log(x - (3 + 1i))*(56/221 - 513i/221) + log(x - (3 - 1i))*(56/221 + 513i/221) + log(x - (1/2 + 1i/2))*(109/442 - 261i/442) + log(x - (1/2 - 1i/2))*(109/442 + 261i/442)","B"
361,1,19,25,2.135363,"\text{Not used}","int((3*x + x^2 + 4)/((x - 1)*(x - 2)*(x - 3)),x)","4\,\ln\left(x-1\right)-14\,\ln\left(x-2\right)+11\,\ln\left(x-3\right)","Not used",1,"4*log(x - 1) - 14*log(x - 2) + 11*log(x - 3)","B"
362,1,61,60,0.130390,"\text{Not used}","int((16*x + 1)/((2*x - 3)*(x + 5)^2*(x + x^2 + 1)),x)","\frac{200\,\ln\left(x-\frac{3}{2}\right)}{3211}+\frac{2731\,\ln\left(x+5\right)}{24843}-\frac{79}{273\,\left(x+5\right)}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{481}{5586}+\frac{\sqrt{3}\,451{}\mathrm{i}}{16758}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{481}{5586}+\frac{\sqrt{3}\,451{}\mathrm{i}}{16758}\right)","Not used",1,"(200*log(x - 3/2))/3211 + (2731*log(x + 5))/24843 - 79/(273*(x + 5)) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*451i)/16758 + 481/5586) + log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*451i)/16758 - 481/5586)","B"
363,1,6,11,0.016473,"\text{Not used}","int((x^3 - 1)/(x + x^2 + 1),x)","\frac{x\,\left(x-2\right)}{2}","Not used",1,"(x*(x - 2))/2","B"
364,1,21,29,2.124388,"\text{Not used}","int(-(x^3 - 3)/(6*x - x^2 + 7),x)","6\,x+\frac{\ln\left(x+1\right)}{2}+\frac{85\,\ln\left(x-7\right)}{2}+\frac{x^2}{2}","Not used",1,"6*x + log(x + 1)/2 + (85*log(x - 7))/2 + x^2/2","B"
365,1,49,45,0.040864,"\text{Not used}","int((x^3 + 1)/(4*x + x^2 + 13)^2,x)","\frac{\ln\left(x^2+4\,x+13\right)}{2}-\frac{61\,\mathrm{atan}\left(\frac{x}{3}+\frac{2}{3}\right)}{54}+\frac{47\,x}{18\,\left(x^2+4\,x+13\right)}+\frac{67}{18\,\left(x^2+4\,x+13\right)}","Not used",1,"log(4*x + x^2 + 13)/2 - (61*atan(x/3 + 2/3))/54 + (47*x)/(18*(4*x + x^2 + 13)) + 67/(18*(4*x + x^2 + 13))","B"
366,1,44,32,0.068561,"\text{Not used}","int((36*x - 42*x^2 + 21*x^3 - 10*x^4 + 3*x^5 - 32)/(x*(x^2 + 1)*(x^2 + 4)^2),x)","\frac{1}{x^2+4}-2\,\ln\left(x\right)-2\,\mathrm{atan}\left(\frac{328000}{7\,\left(36288\,x-19584\right)}+\frac{34}{63}\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(1-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(1+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 2i)*(1 - 1i/4) + log(x + 2i)*(1 + 1i/4) - 2*atan(328000/(7*(36288*x - 19584)) + 34/63) - 2*log(x) + 1/(x^2 + 4)","B"
367,1,124,148,2.189166,"\text{Not used}","int((x^4 + 7*x^5 + x^9 - 1)/(6*x^4 + x^8 - 7),x)","\frac{\mathrm{atan}\left(x^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{x^2}{2}+\sqrt{2}\,7^{1/4}\,\mathrm{atan}\left(\frac{\sqrt{2}\,7^{1/4}\,x\,\left(\frac{89653248}{2401}+\frac{89653248}{2401}{}\mathrm{i}\right)}{-\frac{1048576}{49}+\frac{\sqrt{7}\,179306496{}\mathrm{i}}{2401}}+\frac{\sqrt{2}\,7^{3/4}\,x\,\left(-\frac{524288}{343}+\frac{524288}{343}{}\mathrm{i}\right)}{-\frac{1048576}{49}+\frac{\sqrt{7}\,179306496{}\mathrm{i}}{2401}}\right)\,\left(\frac{1}{28}+\frac{1}{28}{}\mathrm{i}\right)+\sqrt{2}\,7^{1/4}\,\mathrm{atan}\left(\frac{\sqrt{2}\,7^{1/4}\,x\,\left(\frac{89653248}{2401}-\frac{89653248}{2401}{}\mathrm{i}\right)}{\frac{1048576}{49}+\frac{\sqrt{7}\,179306496{}\mathrm{i}}{2401}}+\frac{\sqrt{2}\,7^{3/4}\,x\,\left(-\frac{524288}{343}-\frac{524288}{343}{}\mathrm{i}\right)}{\frac{1048576}{49}+\frac{\sqrt{7}\,179306496{}\mathrm{i}}{2401}}\right)\,\left(-\frac{1}{28}+\frac{1}{28}{}\mathrm{i}\right)","Not used",1,"(atan(x^2*1i)*1i)/2 + x^2/2 + 2^(1/2)*7^(1/4)*atan((2^(1/2)*7^(1/4)*x*(89653248/2401 + 89653248i/2401))/((7^(1/2)*179306496i)/2401 - 1048576/49) - (2^(1/2)*7^(3/4)*x*(524288/343 - 524288i/343))/((7^(1/2)*179306496i)/2401 - 1048576/49))*(1/28 + 1i/28) - 2^(1/2)*7^(1/4)*atan((2^(1/2)*7^(1/4)*x*(89653248/2401 - 89653248i/2401))/((7^(1/2)*179306496i)/2401 + 1048576/49) - (2^(1/2)*7^(3/4)*x*(524288/343 + 524288i/343))/((7^(1/2)*179306496i)/2401 + 1048576/49))*(1/28 - 1i/28)","B"
368,1,170,112,2.228236,"\text{Not used}","int((x^3 + x^6 + 1)/(x + x^5),x)","\ln\left(x\right)+\left(\sum _{k=1}^4\ln\left(\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)\,\left(8\,\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)+x+\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)\,x\,96+{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)}^2\,x\,240+{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)}^3\,x\,320-16\,{\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)}^2+8\right)\right)\,\mathrm{root}\left(z^4+z^3+\frac{z^2}{2}+\frac{z}{16}+\frac{1}{256},z,k\right)\right)+\frac{x^2}{2}","Not used",1,"log(x) + symsum(log(root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k)*(8*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k) + x + 96*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k)*x + 240*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k)^2*x + 320*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k)^3*x - 16*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k)^2 + 8))*root(z^4 + z^3 + z^2/2 + z/16 + 1/256, z, k), k, 1, 4) + x^2/2","B"
369,1,12,14,0.043845,"\text{Not used}","int(-(x^2 + 1)/(x - x^2),x)","x+2\,\ln\left(x-1\right)-\ln\left(x\right)","Not used",1,"x + 2*log(x - 1) - log(x)","B"
370,1,10,12,2.137924,"\text{Not used}","int(-(x^3 + 1)/(x - x^3),x)","x-2\,\mathrm{atanh}\left(2\,x-1\right)","Not used",1,"x - 2*atanh(2*x - 1)","B"
371,1,15,17,0.026524,"\text{Not used}","int(-(x^3 + 1)/(x^2 - x^3),x)","x+2\,\ln\left(x-1\right)-\ln\left(x\right)+\frac{1}{x}","Not used",1,"x + 2*log(x - 1) - log(x) + 1/x","B"
372,1,15,17,0.032913,"\text{Not used}","int(-(x^5 - 1)/(x - x^3),x)","x-2\,\mathrm{atanh}\left(2\,x+1\right)+\frac{x^3}{3}","Not used",1,"x - 2*atanh(2*x + 1) + x^3/3","B"
373,1,16,18,0.050415,"\text{Not used}","int((x^4 + 1)/(x^3 + x^5),x)","\ln\left(x^2+1\right)-\ln\left(x\right)-\frac{1}{2\,x^2}","Not used",1,"log(x^2 + 1) - log(x) - 1/(2*x^2)","B"
374,1,10,10,0.034108,"\text{Not used}","int((x^2 + 1)/(x + 2*x^2 + x^3),x)","\ln\left(x\right)+\frac{2}{x+1}","Not used",1,"log(x) + 2/(x + 1)","B"
375,1,30,42,0.053155,"\text{Not used}","int(-(x^5 + 1)/(10*x + 3*x^2 - x^3),x)","19\,x-\frac{31\,\ln\left(x+2\right)}{14}+\frac{3126\,\ln\left(x-5\right)}{35}-\frac{\ln\left(x\right)}{10}+\frac{3\,x^2}{2}+\frac{x^3}{3}","Not used",1,"19*x - (31*log(x + 2))/14 + (3126*log(x - 5))/35 - log(x)/10 + (3*x^2)/2 + x^3/3","B"
376,1,88,46,0.002134,"\text{Not used}","int((x^2 - 5*x + x^3 + 15)/((x^2 + 5)*(2*x + x^2 + 3)),x)","\frac{\ln\left(x+1-\sqrt{2}\,1{}\mathrm{i}\right)}{2}+\frac{\ln\left(x+1+\sqrt{2}\,1{}\mathrm{i}\right)}{2}+\sqrt{5}\,\mathrm{atan}\left(\frac{2000\,\sqrt{5}}{2000\,x+1120}-\frac{224\,\sqrt{5}\,x}{2000\,x+1120}\right)-\frac{\sqrt{2}\,\ln\left(x+1-\sqrt{2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4}+\frac{\sqrt{2}\,\ln\left(x+1+\sqrt{2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{4}","Not used",1,"log(x - 2^(1/2)*1i + 1)/2 + log(x + 2^(1/2)*1i + 1)/2 + 5^(1/2)*atan((2000*5^(1/2))/(2000*x + 1120) - (224*5^(1/2)*x)/(2000*x + 1120)) - (2^(1/2)*log(x - 2^(1/2)*1i + 1)*5i)/4 + (2^(1/2)*log(x + 2^(1/2)*1i + 1)*5i)/4","B"
377,1,8,19,0.084429,"\text{Not used}","int(1/((x^2 + 1)*((10*x)/(x^2 + 1) + 3)),x)","-\frac{\mathrm{atanh}\left(\frac{3\,x}{4}+\frac{5}{4}\right)}{4}","Not used",1,"-atanh((3*x)/4 + 5/4)/4","B"
378,1,26,40,2.092903,"\text{Not used}","int(x^3/(15*x + 2/x + 13),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"
379,1,21,33,0.032583,"\text{Not used}","int(x^2/(15*x + 2/x + 13),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"
380,1,16,26,2.116502,"\text{Not used}","int(x/(15*x + 2/x + 13),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"
381,1,13,21,2.109727,"\text{Not used}","int(1/(15*x + 2/x + 13),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"
382,1,8,21,0.078343,"\text{Not used}","int(1/(x*(15*x + 2/x + 13)),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"
383,1,17,27,0.094848,"\text{Not used}","int(1/(x^2*(15*x + 2/x + 13)),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"
384,1,22,34,0.034678,"\text{Not used}","int(1/(x^3*(15*x + 2/x + 13)),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"
385,1,26,41,0.035547,"\text{Not used}","int(1/(x^4*(15*x + 2/x + 13)),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"
386,1,32,48,0.036936,"\text{Not used}","int(1/(x^5*(15*x + 2/x + 13)),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"
387,1,144,157,2.745097,"\text{Not used}","int(-x^2/((x^2 + 1)^4 - 2),x)","\sum _{k=1}^8\ln\left(-\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(56\,x-\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(4096\,x-{\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)}^2\,\left(262144\,x+{\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)}^2\,x\,67108864\right)\right)+256\right)\right)-1\right)\,\mathrm{root}\left(z^8-\frac{z^4}{16384}+\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)","Not used",1,"symsum(log(- root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k)*(56*x - root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k)*(root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k)*(4096*x - root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k)^2*(262144*x + 67108864*root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k)^2*x)) + 256)) - 1)*root(z^8 - z^4/16384 + z^2/1048576 - 1/1073741824, z, k), k, 1, 8)","B"
388,1,142,157,2.804778,"\text{Not used}","int(-x^2/((x^2 - 1)^4 - 2),x)","\sum _{k=1}^8\ln\left(-\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(56\,x+\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)\,\left(4096\,x+{\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)}^2\,\left(262144\,x-{\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)}^2\,x\,67108864\right)\right)+256\right)\right)-1\right)\,\mathrm{root}\left(z^8-\frac{z^4}{16384}-\frac{z^2}{1048576}-\frac{1}{1073741824},z,k\right)","Not used",1,"symsum(log(- root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k)*(56*x + root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k)*(root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k)*(4096*x + root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k)^2*(262144*x - 67108864*root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k)^2*x)) + 256)) - 1)*root(z^8 - z^4/16384 - z^2/1048576 - 1/1073741824, z, k), k, 1, 8)","B"
389,1,142,188,2.779522,"\text{Not used}","int(x^2/((x^2 + 1)^4 + 2),x)","\sum _{k=1}^8\ln\left(\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(40\,x+\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(4096\,x-{\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)}^2\,\left(786432\,x-{\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)}^2\,x\,67108864\right)\right)-768\right)\right)-3\right)\,\mathrm{root}\left(z^8+\frac{z^4}{16384}+\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)","Not used",1,"symsum(log(root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k)*(40*x + root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k)*(root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k)*(4096*x - root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k)^2*(786432*x - 67108864*root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k)^2*x)) - 768)) - 3)*root(z^8 + z^4/16384 + z^2/1048576 + 3/1073741824, z, k), k, 1, 8)","B"
390,1,142,188,2.739601,"\text{Not used}","int(x^2/((x^2 - 1)^4 + 2),x)","\sum _{k=1}^8\ln\left(\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(40\,x-\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)\,\left(4096\,x+{\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)}^2\,\left(786432\,x+{\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)}^2\,x\,67108864\right)\right)-768\right)\right)-3\right)\,\mathrm{root}\left(z^8+\frac{z^4}{16384}-\frac{z^2}{1048576}+\frac{3}{1073741824},z,k\right)","Not used",1,"symsum(log(root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k)*(40*x - root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k)*(root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k)*(4096*x + root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k)^2*(786432*x + 67108864*root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k)^2*x)) - 768)) - 3)*root(z^8 + z^4/16384 - z^2/1048576 + 3/1073741824, z, k), k, 1, 8)","B"
391,1,328,663,2.698516,"\text{Not used}","int(-(x^2 - 1)/(a + b*(x^2 - 1)^4),x)","\sum _{k=1}^8\ln\left(a\,b^5\,\left({\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^2\,a\,b\,64+1\right)\,\left({\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^4\,a^2\,b^2\,4096+{\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^2\,a\,b\,128-{\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^5\,a^3\,b^2\,x\,32768+1\right)\right)\,\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)","Not used",1,"symsum(log(a*b^5*(64*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^2*a*b + 1)*(4096*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^4*a^2*b^2 + 128*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^2*a*b - 32768*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^5*a^3*b^2*x + 1))*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k), k, 1, 8)","B"
392,1,328,663,0.002072,"\text{Not used}","int(-(x^2 - 1)/(a + b*(x^2 - 1)^4),x)","\sum _{k=1}^8\ln\left(a\,b^5\,\left({\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^2\,a\,b\,64+1\right)\,\left({\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^4\,a^2\,b^2\,4096+{\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^2\,a\,b\,128-{\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)}^5\,a^3\,b^2\,x\,32768+1\right)\right)\,\mathrm{root}\left(16777216\,a^5\,b^3\,z^8+16777216\,a^4\,b^4\,z^8+1048576\,a^3\,b^3\,z^6+24576\,a^2\,b^2\,z^4+256\,a\,b\,z^2+1,z,k\right)","Not used",1,"symsum(log(a*b^5*(64*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^2*a*b + 1)*(4096*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^4*a^2*b^2 + 128*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^2*a*b - 32768*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k)^5*a^3*b^2*x + 1))*root(16777216*a^5*b^3*z^8 + 16777216*a^4*b^4*z^8 + 1048576*a^3*b^3*z^6 + 24576*a^2*b^2*z^4 + 256*a*b*z^2 + 1, z, k), k, 1, 8)","B"
393,1,504,168,3.081831,"\text{Not used}","int((x^2 + 1)^2/(b*(x^2 + 1)^3 + a*x^6),x)","\sum _{k=1}^6\ln\left(-a^3\,\left(a+b\right)\,\left(-{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^2\,b^2\,60-{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^4\,b^4\,864-{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^4\,a\,b^3\,864+{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^3\,b^3\,x\,504+{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^5\,b^5\,x\,7776+\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)\,a\,x\,2+\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)\,b\,x\,8+{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^2\,a\,b\,12-{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^3\,a\,b^2\,x\,144+{\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)}^5\,a\,b^4\,x\,7776-1\right)\,3\right)\,\mathrm{root}\left(46656\,a\,b^5\,z^6+46656\,b^6\,z^6+3888\,b^4\,z^4+108\,b^2\,z^2+1,z,k\right)","Not used",1,"symsum(log(-3*a^3*(a + b)*(504*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^3*b^3*x - 864*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^4*b^4 - 864*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^4*a*b^3 - 60*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^2*b^2 + 7776*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^5*b^5*x + 2*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)*a*x + 8*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)*b*x + 12*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^2*a*b - 144*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^3*a*b^2*x + 7776*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k)^5*a*b^4*x - 1))*root(46656*a*b^5*z^6 + 46656*b^6*z^6 + 3888*b^4*z^4 + 108*b^2*z^2 + 1, z, k), k, 1, 6)","B"
394,1,894,320,2.842562,"\text{Not used}","int((d + e*x)^3/(a + c*x^4),x)","\sum _{k=1}^4\ln\left(-c\,d^2\,\left(-3\,c\,d^5\,e^2+5\,a\,d\,e^6+3\,a\,e^7\,x+{\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)}^2\,a\,c^2\,d\,8+\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)\,c^2\,d^4\,x\,2-5\,c\,d^4\,e^3\,x-{\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)}^2\,a\,c^2\,e\,x\,24+\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)\,a\,c\,d\,e^3\,32-\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)\,a\,c\,e^4\,x\,6\right)\,2\right)\,\mathrm{root}\left(256\,a^3\,c^4\,z^4-256\,a^3\,c^3\,e^3\,z^3+480\,a^2\,c^3\,d^4\,e^2\,z^2+96\,a^3\,c^2\,e^6\,z^2+192\,a^2\,c^2\,d^4\,e^5\,z-48\,a\,c^3\,d^8\,e\,z-16\,a^3\,c\,e^9\,z+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}+a^3\,e^{12},z,k\right)","Not used",1,"symsum(log(-2*c*d^2*(5*a*d*e^6 - 3*c*d^5*e^2 + 3*a*e^7*x + 8*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k)^2*a*c^2*d + 2*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k)*c^2*d^4*x - 5*c*d^4*e^3*x - 24*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k)^2*a*c^2*e*x + 32*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k)*a*c*d*e^3 - 6*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k)*a*c*e^4*x))*root(256*a^3*c^4*z^4 - 256*a^3*c^3*e^3*z^3 + 480*a^2*c^3*d^4*e^2*z^2 + 96*a^3*c^2*e^6*z^2 + 192*a^2*c^2*d^4*e^5*z - 48*a*c^3*d^8*e*z - 16*a^3*c*e^9*z + 3*a^2*c*d^4*e^8 + 3*a*c^2*d^8*e^4 + c^3*d^12 + a^3*e^12, z, k), k, 1, 4)","B"
395,1,556,291,2.657287,"\text{Not used}","int((d + e*x)^2/(a + c*x^4),x)","\sum _{k=1}^4\ln\left(3\,c^2\,d^4\,e^2-a\,c\,e^6+4\,c^2\,d^3\,e^3\,x-\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,c^3\,d^4\,x\,4-{\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,a\,c^3\,d^2\,16+\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,a\,c^2\,e^4\,x\,4-\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)\,a\,c^2\,d\,e^3\,16+{\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)}^2\,a\,c^3\,d\,e\,x\,32\right)\,\mathrm{root}\left(256\,a^3\,c^3\,z^4+192\,a^2\,c^2\,d^2\,e^2\,z^2+32\,a^2\,c\,d\,e^5\,z-32\,a\,c^2\,d^5\,e\,z+2\,a\,c\,d^4\,e^4+c^2\,d^8+a^2\,e^8,z,k\right)","Not used",1,"symsum(log(3*c^2*d^4*e^2 - a*c*e^6 + 4*c^2*d^3*e^3*x - 4*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*c^3*d^4*x - 16*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*a*c^3*d^2 + 4*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*a*c^2*e^4*x - 16*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)*a*c^2*d*e^3 + 32*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k)^2*a*c^3*d*e*x)*root(256*a^3*c^3*z^4 + 192*a^2*c^2*d^2*e^2*z^2 + 32*a^2*c*d*e^5*z - 32*a*c^2*d^5*e*z + 2*a*c*d^4*e^4 + c^2*d^8 + a^2*e^8, z, k), k, 1, 4)","B"
396,1,160,219,2.323474,"\text{Not used}","int((d + e*x)/(a + c*x^4),x)","\left\{\begin{array}{cl} -\frac{2\,d+3\,e\,x}{6\,c\,x^3} & \text{\ if\ \ }a=0\\ \frac{\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/4}\,x}{a^{1/4}}-1\right)\,\left(2\,a^{1/4}\,e+\sqrt{2}\,c^{1/4}\,d\right)}{4\,a^{3/4}\,\sqrt{c}}-\frac{\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/4}\,x}{a^{1/4}}+1\right)\,\left(4\,a^{1/4}\,e-2\,\sqrt{2}\,c^{1/4}\,d\right)}{8\,a^{3/4}\,\sqrt{c}}+\frac{\sqrt{2}\,d\,\ln\left(\frac{\sqrt{a}+\sqrt{c}\,x^2+\sqrt{2}\,a^{1/4}\,c^{1/4}\,x}{\sqrt{a}+\sqrt{c}\,x^2-\sqrt{2}\,a^{1/4}\,c^{1/4}\,x}\right)}{8\,a^{3/4}\,c^{1/4}} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, -(2*d + 3*e*x)/(6*c*x^3), a ~= 0, (atan((2^(1/2)*c^(1/4)*x)/a^(1/4) - 1)*(2*a^(1/4)*e + 2^(1/2)*c^(1/4)*d))/(4*a^(3/4)*c^(1/2)) - (atan((2^(1/2)*c^(1/4)*x)/a^(1/4) + 1)*(4*a^(1/4)*e - 2*2^(1/2)*c^(1/4)*d))/(8*a^(3/4)*c^(1/2)) + (2^(1/2)*d*log((a^(1/2) + c^(1/2)*x^2 + 2^(1/2)*a^(1/4)*c^(1/4)*x)/(a^(1/2) + c^(1/2)*x^2 - 2^(1/2)*a^(1/4)*c^(1/4)*x)))/(8*a^(3/4)*c^(1/4)))","B"
397,1,33,185,0.083188,"\text{Not used}","int(1/(a + c*x^4),x)","-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,{\left(-a\right)}^{3/4}\,c^{1/4}}","Not used",1,"-(atan((c^(1/4)*x)/(-a)^(1/4)) + atanh((c^(1/4)*x)/(-a)^(1/4)))/(2*(-a)^(3/4)*c^(1/4))","B"
398,1,874,416,0.418403,"\text{Not used}","int(1/((a + c*x^4)*(d + e*x)),x)","\left(\sum _{k=1}^4\ln\left(\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)\,c^4\,e\,\left(d\,e^2+5\,e^3\,x+{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^2\,a^2\,e^5\,x\,240+{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^3\,a^3\,e^6\,x\,320+\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)\,a\,d\,e^3\,32+\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)\,a\,e^4\,x\,60-\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)\,c\,d^4\,x\,4-{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^2\,a\,c\,d^5\,16+{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^2\,a^2\,d\,e^4\,208+{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^3\,a^3\,d\,e^5\,384-{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^3\,a^2\,c\,d^5\,e\,128-{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^3\,a^2\,c\,d^4\,e^2\,x\,192-{\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)}^2\,a\,c\,d^4\,e\,x\,48\right)\right)\,\mathrm{root}\left(256\,a^3\,c\,d^4\,z^4+256\,a^4\,e^4\,z^4+256\,a^3\,e^3\,z^3+96\,a^2\,e^2\,z^2+16\,a\,e\,z+1,z,k\right)\right)+\frac{e^3\,\ln\left(d+e\,x\right)}{c\,d^4+a\,e^4}","Not used",1,"symsum(log(root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)*c^4*e*(d*e^2 + 5*e^3*x + 240*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^2*a^2*e^5*x + 320*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^3*a^3*e^6*x + 32*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)*a*d*e^3 + 60*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)*a*e^4*x - 4*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)*c*d^4*x - 16*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^2*a*c*d^5 + 208*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^2*a^2*d*e^4 + 384*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^3*a^3*d*e^5 - 128*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^3*a^2*c*d^5*e - 192*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^3*a^2*c*d^4*e^2*x - 48*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k)^2*a*c*d^4*e*x))*root(256*a^3*c*d^4*z^4 + 256*a^4*e^4*z^4 + 256*a^3*e^3*z^3 + 96*a^2*e^2*z^2 + 16*a*e*z + 1, z, k), k, 1, 4) + (e^3*log(d + e*x))/(a*e^4 + c*d^4)","B"
399,1,2436,552,2.778671,"\text{Not used}","int(1/((a + c*x^4)*(d + e*x)^2),x)","\left(\sum _{k=1}^4\ln\left(\frac{c^5\,d\,e^6+c^5\,e^7\,x+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a^4\,c^4\,e^{13}\,16+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^2\,a^2\,c^5\,d^3\,e^8\,256+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a^2\,c^6\,d^8\,e^5\,496+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a^3\,c^5\,d^4\,e^9\,528-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^2\,c^7\,d^{13}\,e^2\,128+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^3\,c^6\,d^9\,e^6\,128+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^4\,c^5\,d^5\,e^{10}\,640+\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)\,a\,c^5\,d^2\,e^7\,32-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a\,c^7\,d^{12}\,e\,16+\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)\,c^6\,d^5\,e^4\,x\,16-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^2\,c^7\,d^{10}\,e\,x\,4+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^2\,a\,c^6\,d^7\,e^4\,64+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^5\,c^4\,d\,e^{14}\,384+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^5\,c^4\,e^{15}\,x\,320+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^2\,a\,c^6\,d^6\,e^5\,x\,248-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a\,c^7\,d^{11}\,e^2\,x\,64+\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)\,a\,c^5\,d\,e^8\,x\,32+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^2\,a^2\,c^5\,d^2\,e^9\,x\,316+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a^2\,c^6\,d^7\,e^6\,x\,640+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^3\,a^3\,c^5\,d^3\,e^{10}\,x\,704-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^2\,c^7\,d^{12}\,e^3\,x\,192-{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^3\,c^6\,d^8\,e^7\,x\,64+{\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)}^4\,a^4\,c^5\,d^4\,e^{11}\,x\,448}{a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8}\right)\,\mathrm{root}\left(512\,a^4\,c\,d^4\,e^4\,z^4+256\,a^3\,c^2\,d^8\,z^4+256\,a^5\,e^8\,z^4+1024\,a^3\,c\,d^3\,e^3\,z^3+320\,a^2\,c\,d^2\,e^2\,z^2+32\,a\,c\,d\,e\,z+c,z,k\right)\right)-\frac{e^3}{c\,d^5+c\,x\,d^4\,e+a\,d\,e^4+a\,x\,e^5}+\frac{4\,c\,d^3\,e^3\,\ln\left(d+e\,x\right)}{a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8}","Not used",1,"symsum(log((c^5*d*e^6 + c^5*e^7*x + 16*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a^4*c^4*e^13 + 256*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^2*a^2*c^5*d^3*e^8 + 496*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a^2*c^6*d^8*e^5 + 528*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a^3*c^5*d^4*e^9 - 128*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^2*c^7*d^13*e^2 + 128*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^3*c^6*d^9*e^6 + 640*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^4*c^5*d^5*e^10 + 32*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)*a*c^5*d^2*e^7 - 16*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a*c^7*d^12*e + 16*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)*c^6*d^5*e^4*x - 4*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^2*c^7*d^10*e*x + 64*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^2*a*c^6*d^7*e^4 + 384*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^5*c^4*d*e^14 + 320*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^5*c^4*e^15*x + 248*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^2*a*c^6*d^6*e^5*x - 64*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a*c^7*d^11*e^2*x + 32*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)*a*c^5*d*e^8*x + 316*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^2*a^2*c^5*d^2*e^9*x + 640*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a^2*c^6*d^7*e^6*x + 704*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^3*a^3*c^5*d^3*e^10*x - 192*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^2*c^7*d^12*e^3*x - 64*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^3*c^6*d^8*e^7*x + 448*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k)^4*a^4*c^5*d^4*e^11*x)/(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4))*root(512*a^4*c*d^4*e^4*z^4 + 256*a^3*c^2*d^8*z^4 + 256*a^5*e^8*z^4 + 1024*a^3*c*d^3*e^3*z^3 + 320*a^2*c*d^2*e^2*z^2 + 32*a*c*d*e*z + c, z, k), k, 1, 4) - e^3/(c*d^5 + a*d*e^4 + a*e^5*x + c*d^4*e*x) + (4*c*d^3*e^3*log(d + e*x))/(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)","B"
400,1,1955,680,3.674282,"\text{Not used}","int(1/((a + c*x^4)*(d + e*x)^3),x)","\left(\sum _{k=1}^4\ln\left(\frac{c^7\,d^5\,e^6+a\,c^6\,d\,e^{10}}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}+\mathrm{root}\left(768\,a^5\,c\,d^4\,e^8\,z^4+768\,a^4\,c^2\,d^8\,e^4\,z^4+256\,a^3\,c^3\,d^{12}\,z^4+256\,a^6\,e^{12}\,z^4-1536\,a^4\,c\,d^2\,e^7\,z^3+2560\,a^3\,c^2\,d^6\,e^3\,z^3+672\,a^2\,c^2\,d^4\,e^2\,z^2+32\,a^3\,c\,e^6\,z^2+48\,a\,c^2\,d^2\,e\,z+c^2,z,k\right)\,\left(\frac{208\,a\,c^7\,d^7\,e^7-48\,a^2\,c^6\,d^3\,e^{11}}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}+\mathrm{root}\left(768\,a^5\,c\,d^4\,e^8\,z^4+768\,a^4\,c^2\,d^8\,e^4\,z^4+256\,a^3\,c^3\,d^{12}\,z^4+256\,a^6\,e^{12}\,z^4-1536\,a^4\,c\,d^2\,e^7\,z^3+2560\,a^3\,c^2\,d^6\,e^3\,z^3+672\,a^2\,c^2\,d^4\,e^2\,z^2+32\,a^3\,c\,e^6\,z^2+48\,a\,c^2\,d^2\,e\,z+c^2,z,k\right)\,\left(-\mathrm{root}\left(768\,a^5\,c\,d^4\,e^8\,z^4+768\,a^4\,c^2\,d^8\,e^4\,z^4+256\,a^3\,c^3\,d^{12}\,z^4+256\,a^6\,e^{12}\,z^4-1536\,a^4\,c\,d^2\,e^7\,z^3+2560\,a^3\,c^2\,d^6\,e^3\,z^3+672\,a^2\,c^2\,d^4\,e^2\,z^2+32\,a^3\,c\,e^6\,z^2+48\,a\,c^2\,d^2\,e\,z+c^2,z,k\right)\,\left(\frac{976\,a^5\,c^5\,d^3\,e^{17}+896\,a^4\,c^6\,d^7\,e^{13}-1120\,a^3\,c^7\,d^{11}\,e^9-1024\,a^2\,c^8\,d^{15}\,e^5+16\,a\,c^9\,d^{19}\,e}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}-\mathrm{root}\left(768\,a^5\,c\,d^4\,e^8\,z^4+768\,a^4\,c^2\,d^8\,e^4\,z^4+256\,a^3\,c^3\,d^{12}\,z^4+256\,a^6\,e^{12}\,z^4-1536\,a^4\,c\,d^2\,e^7\,z^3+2560\,a^3\,c^2\,d^6\,e^3\,z^3+672\,a^2\,c^2\,d^4\,e^2\,z^2+32\,a^3\,c\,e^6\,z^2+48\,a\,c^2\,d^2\,e\,z+c^2,z,k\right)\,\left(\frac{384\,a^7\,c^4\,d\,e^{22}+1408\,a^6\,c^5\,d^5\,e^{18}+1792\,a^5\,c^6\,d^9\,e^{14}+768\,a^4\,c^7\,d^{13}\,e^{10}-128\,a^3\,c^8\,d^{17}\,e^6-128\,a^2\,c^9\,d^{21}\,e^2}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}+\frac{x\,\left(320\,a^7\,c^4\,e^{23}+1088\,a^6\,c^5\,d^4\,e^{19}+1152\,a^5\,c^6\,d^8\,e^{15}+128\,a^4\,c^7\,d^{12}\,e^{11}-448\,a^3\,c^8\,d^{16}\,e^7-192\,a^2\,c^9\,d^{20}\,e^3\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}\right)+\frac{x\,\left(1296\,a^5\,c^5\,d^2\,e^{18}+896\,a^4\,c^6\,d^6\,e^{14}-2016\,a^3\,c^7\,d^{10}\,e^{10}-1536\,a^2\,c^8\,d^{14}\,e^6+80\,a\,c^9\,d^{18}\,e^2\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}\right)+\frac{16\,a^4\,c^5\,d\,e^{16}-592\,a^3\,c^6\,d^5\,e^{12}+2608\,a^2\,c^7\,d^9\,e^8+144\,a\,c^8\,d^{13}\,e^4}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}+\frac{x\,\left(36\,a^4\,c^5\,e^{17}-152\,a^3\,c^6\,d^4\,e^{13}+1632\,a^2\,c^7\,d^8\,e^9+792\,a\,c^8\,d^{12}\,e^5-4\,c^9\,d^{16}\,e\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}\right)+\frac{x\,\left(72\,a^2\,c^6\,d^2\,e^{12}-16\,a\,c^7\,d^6\,e^8+40\,c^8\,d^{10}\,e^4\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}\right)+\frac{x\,\left(c^7\,d^4\,e^7+a\,c^6\,e^{11}\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}\right)\,\mathrm{root}\left(768\,a^5\,c\,d^4\,e^8\,z^4+768\,a^4\,c^2\,d^8\,e^4\,z^4+256\,a^3\,c^3\,d^{12}\,z^4+256\,a^6\,e^{12}\,z^4-1536\,a^4\,c\,d^2\,e^7\,z^3+2560\,a^3\,c^2\,d^6\,e^3\,z^3+672\,a^2\,c^2\,d^4\,e^2\,z^2+32\,a^3\,c\,e^6\,z^2+48\,a\,c^2\,d^2\,e\,z+c^2,z,k\right)\right)-\frac{\frac{9\,c\,d^4\,e^3+a\,e^7}{2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{4\,c\,d^3\,e^4\,x}{a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8}}{d^2+2\,d\,e\,x+e^2\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(10\,c^2\,d^6\,e^3-6\,a\,c\,d^2\,e^7\right)}{a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}}","Not used",1,"symsum(log((c^7*d^5*e^6 + a*c^6*d*e^10)/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8) + root(768*a^5*c*d^4*e^8*z^4 + 768*a^4*c^2*d^8*e^4*z^4 + 256*a^3*c^3*d^12*z^4 + 256*a^6*e^12*z^4 - 1536*a^4*c*d^2*e^7*z^3 + 2560*a^3*c^2*d^6*e^3*z^3 + 672*a^2*c^2*d^4*e^2*z^2 + 32*a^3*c*e^6*z^2 + 48*a*c^2*d^2*e*z + c^2, z, k)*((208*a*c^7*d^7*e^7 - 48*a^2*c^6*d^3*e^11)/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8) + root(768*a^5*c*d^4*e^8*z^4 + 768*a^4*c^2*d^8*e^4*z^4 + 256*a^3*c^3*d^12*z^4 + 256*a^6*e^12*z^4 - 1536*a^4*c*d^2*e^7*z^3 + 2560*a^3*c^2*d^6*e^3*z^3 + 672*a^2*c^2*d^4*e^2*z^2 + 32*a^3*c*e^6*z^2 + 48*a*c^2*d^2*e*z + c^2, z, k)*((144*a*c^8*d^13*e^4 + 16*a^4*c^5*d*e^16 + 2608*a^2*c^7*d^9*e^8 - 592*a^3*c^6*d^5*e^12)/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8) - root(768*a^5*c*d^4*e^8*z^4 + 768*a^4*c^2*d^8*e^4*z^4 + 256*a^3*c^3*d^12*z^4 + 256*a^6*e^12*z^4 - 1536*a^4*c*d^2*e^7*z^3 + 2560*a^3*c^2*d^6*e^3*z^3 + 672*a^2*c^2*d^4*e^2*z^2 + 32*a^3*c*e^6*z^2 + 48*a*c^2*d^2*e*z + c^2, z, k)*((896*a^4*c^6*d^7*e^13 - 1120*a^3*c^7*d^11*e^9 - 1024*a^2*c^8*d^15*e^5 + 976*a^5*c^5*d^3*e^17 + 16*a*c^9*d^19*e)/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8) - root(768*a^5*c*d^4*e^8*z^4 + 768*a^4*c^2*d^8*e^4*z^4 + 256*a^3*c^3*d^12*z^4 + 256*a^6*e^12*z^4 - 1536*a^4*c*d^2*e^7*z^3 + 2560*a^3*c^2*d^6*e^3*z^3 + 672*a^2*c^2*d^4*e^2*z^2 + 32*a^3*c*e^6*z^2 + 48*a*c^2*d^2*e*z + c^2, z, k)*((384*a^7*c^4*d*e^22 - 128*a^2*c^9*d^21*e^2 - 128*a^3*c^8*d^17*e^6 + 768*a^4*c^7*d^13*e^10 + 1792*a^5*c^6*d^9*e^14 + 1408*a^6*c^5*d^5*e^18)/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8) + (x*(320*a^7*c^4*e^23 - 192*a^2*c^9*d^20*e^3 - 448*a^3*c^8*d^16*e^7 + 128*a^4*c^7*d^12*e^11 + 1152*a^5*c^6*d^8*e^15 + 1088*a^6*c^5*d^4*e^19))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) + (x*(80*a*c^9*d^18*e^2 - 1536*a^2*c^8*d^14*e^6 - 2016*a^3*c^7*d^10*e^10 + 896*a^4*c^6*d^6*e^14 + 1296*a^5*c^5*d^2*e^18))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) + (x*(36*a^4*c^5*e^17 - 4*c^9*d^16*e + 792*a*c^8*d^12*e^5 + 1632*a^2*c^7*d^8*e^9 - 152*a^3*c^6*d^4*e^13))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) + (x*(40*c^8*d^10*e^4 - 16*a*c^7*d^6*e^8 + 72*a^2*c^6*d^2*e^12))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) + (x*(a*c^6*e^11 + c^7*d^4*e^7))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8))*root(768*a^5*c*d^4*e^8*z^4 + 768*a^4*c^2*d^8*e^4*z^4 + 256*a^3*c^3*d^12*z^4 + 256*a^6*e^12*z^4 - 1536*a^4*c*d^2*e^7*z^3 + 2560*a^3*c^2*d^6*e^3*z^3 + 672*a^2*c^2*d^4*e^2*z^2 + 32*a^3*c*e^6*z^2 + 48*a*c^2*d^2*e*z + c^2, z, k), k, 1, 4) - ((a*e^7 + 9*c*d^4*e^3)/(2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (4*c*d^3*e^4*x)/(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4))/(d^2 + e^2*x^2 + 2*d*e*x) + (log(d + e*x)*(10*c^2*d^6*e^3 - 6*a*c*d^2*e^7))/(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)","B"
401,1,670,349,0.432840,"\text{Not used}","int((d + e*x)^3/(a + c*x^4)^2,x)","\left(\sum _{k=1}^4\ln\left(\frac{c\,d^2\,\left(27\,c\,d^5\,e^2-9\,a\,d\,e^6+36\,c\,d^4\,e^3\,x-{\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)}^2\,a^3\,c^2\,d\,256-\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)\,a\,c^2\,d^4\,x\,48+\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)\,a^2\,c\,e^4\,x\,48+{\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)}^2\,a^3\,c^2\,e\,x\,512-\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)\,a^2\,c\,d\,e^3\,192\right)\,3}{a^3\,64}\right)\,\mathrm{root}\left(65536\,a^7\,c^3\,z^4+27648\,a^4\,c^2\,d^4\,e^2\,z^2+3456\,a^3\,c\,d^4\,e^5\,z-3456\,a^2\,c^2\,d^8\,e\,z+162\,a\,c\,d^8\,e^4+81\,a^2\,d^4\,e^8+81\,c^2\,d^{12},z,k\right)\right)+\frac{\frac{d^3\,x}{4\,a}-\frac{e^3}{4\,c}+\frac{3\,d^2\,e\,x^2}{4\,a}+\frac{3\,d\,e^2\,x^3}{4\,a}}{c\,x^4+a}","Not used",1,"symsum(log((3*c*d^2*(27*c*d^5*e^2 - 9*a*d*e^6 + 36*c*d^4*e^3*x - 256*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k)^2*a^3*c^2*d - 48*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k)*a*c^2*d^4*x + 48*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k)*a^2*c*e^4*x + 512*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k)^2*a^3*c^2*e*x - 192*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k)*a^2*c*d*e^3))/(64*a^3))*root(65536*a^7*c^3*z^4 + 27648*a^4*c^2*d^4*e^2*z^2 + 3456*a^3*c*d^4*e^5*z - 3456*a^2*c^2*d^8*e*z + 162*a*c*d^8*e^4 + 81*a^2*d^4*e^8 + 81*c^2*d^12, z, k), k, 1, 4) + ((d^3*x)/(4*a) - e^3/(4*c) + (3*d^2*e*x^2)/(4*a) + (3*d*e^2*x^3)/(4*a))/(a + c*x^4)","B"
402,1,391,322,2.482526,"\text{Not used}","int((d + e*x)^2/(a + c*x^4)^2,x)","\frac{\frac{d^2\,x}{4\,a}+\frac{e^2\,x^3}{4\,a}+\frac{d\,e\,x^2}{2\,a}}{c\,x^4+a}+\left(\sum _{k=1}^4\ln\left(\frac{39\,c^2\,d^4\,e^2-a\,c\,e^6}{64\,a^3}-\mathrm{root}\left(65536\,a^7\,c^3\,z^4+11264\,a^4\,c^2\,d^2\,e^2\,z^2-2304\,a^2\,c^2\,d^5\,e\,z+256\,a^3\,c\,d\,e^5\,z+82\,a\,c\,d^4\,e^4+81\,c^2\,d^8+a^2\,e^8,z,k\right)\,\left(\mathrm{root}\left(65536\,a^7\,c^3\,z^4+11264\,a^4\,c^2\,d^2\,e^2\,z^2-2304\,a^2\,c^2\,d^5\,e\,z+256\,a^3\,c\,d\,e^5\,z+82\,a\,c\,d^4\,e^4+81\,c^2\,d^8+a^2\,e^8,z,k\right)\,\left(12\,c^3\,d^2-16\,c^3\,d\,e\,x\right)+\frac{x\,\left(18\,a\,c^3\,d^4-2\,a^2\,c^2\,e^4\right)}{8\,a^3}+\frac{2\,c^2\,d\,e^3}{a}\right)+\frac{5\,c^2\,d^3\,e^3\,x}{8\,a^3}\right)\,\mathrm{root}\left(65536\,a^7\,c^3\,z^4+11264\,a^4\,c^2\,d^2\,e^2\,z^2-2304\,a^2\,c^2\,d^5\,e\,z+256\,a^3\,c\,d\,e^5\,z+82\,a\,c\,d^4\,e^4+81\,c^2\,d^8+a^2\,e^8,z,k\right)\right)","Not used",1,"((d^2*x)/(4*a) + (e^2*x^3)/(4*a) + (d*e*x^2)/(2*a))/(a + c*x^4) + symsum(log((39*c^2*d^4*e^2 - a*c*e^6)/(64*a^3) - root(65536*a^7*c^3*z^4 + 11264*a^4*c^2*d^2*e^2*z^2 - 2304*a^2*c^2*d^5*e*z + 256*a^3*c*d*e^5*z + 82*a*c*d^4*e^4 + 81*c^2*d^8 + a^2*e^8, z, k)*(root(65536*a^7*c^3*z^4 + 11264*a^4*c^2*d^2*e^2*z^2 - 2304*a^2*c^2*d^5*e*z + 256*a^3*c*d*e^5*z + 82*a*c*d^4*e^4 + 81*c^2*d^8 + a^2*e^8, z, k)*(12*c^3*d^2 - 16*c^3*d*e*x) + (x*(18*a*c^3*d^4 - 2*a^2*c^2*e^4))/(8*a^3) + (2*c^2*d*e^3)/a) + (5*c^2*d^3*e^3*x)/(8*a^3))*root(65536*a^7*c^3*z^4 + 11264*a^4*c^2*d^2*e^2*z^2 - 2304*a^2*c^2*d^5*e*z + 256*a^3*c*d*e^5*z + 82*a*c*d^4*e^4 + 81*c^2*d^8 + a^2*e^8, z, k), k, 1, 4)","B"
403,1,282,241,0.273902,"\text{Not used}","int((d + e*x)/(a + c*x^4)^2,x)","\left(\sum _{k=1}^4\ln\left(\frac{c^2\,\left(3\,d\,e^2+2\,e^3\,x-{\mathrm{root}\left(65536\,a^7\,c^2\,z^4+2048\,a^4\,c\,e^2\,z^2-1152\,a^2\,c\,d^2\,e\,z+81\,c\,d^4+16\,a\,e^4,z,k\right)}^2\,a^3\,c\,d\,192+{\mathrm{root}\left(65536\,a^7\,c^2\,z^4+2048\,a^4\,c\,e^2\,z^2-1152\,a^2\,c\,d^2\,e\,z+81\,c\,d^4+16\,a\,e^4,z,k\right)}^2\,a^3\,c\,e\,x\,128-\mathrm{root}\left(65536\,a^7\,c^2\,z^4+2048\,a^4\,c\,e^2\,z^2-1152\,a^2\,c\,d^2\,e\,z+81\,c\,d^4+16\,a\,e^4,z,k\right)\,a\,c\,d^2\,x\,36\right)}{a^3\,16}\right)\,\mathrm{root}\left(65536\,a^7\,c^2\,z^4+2048\,a^4\,c\,e^2\,z^2-1152\,a^2\,c\,d^2\,e\,z+81\,c\,d^4+16\,a\,e^4,z,k\right)\right)+\frac{\frac{e\,x^2}{4\,a}+\frac{d\,x}{4\,a}}{c\,x^4+a}","Not used",1,"symsum(log((c^2*(3*d*e^2 + 2*e^3*x - 192*root(65536*a^7*c^2*z^4 + 2048*a^4*c*e^2*z^2 - 1152*a^2*c*d^2*e*z + 81*c*d^4 + 16*a*e^4, z, k)^2*a^3*c*d + 128*root(65536*a^7*c^2*z^4 + 2048*a^4*c*e^2*z^2 - 1152*a^2*c*d^2*e*z + 81*c*d^4 + 16*a*e^4, z, k)^2*a^3*c*e*x - 36*root(65536*a^7*c^2*z^4 + 2048*a^4*c*e^2*z^2 - 1152*a^2*c*d^2*e*z + 81*c*d^4 + 16*a*e^4, z, k)*a*c*d^2*x))/(16*a^3))*root(65536*a^7*c^2*z^4 + 2048*a^4*c*e^2*z^2 - 1152*a^2*c*d^2*e*z + 81*c*d^4 + 16*a*e^4, z, k), k, 1, 4) + ((e*x^2)/(4*a) + (d*x)/(4*a))/(a + c*x^4)","B"
404,1,58,202,0.089200,"\text{Not used}","int(1/(a + c*x^4)^2,x)","\frac{x}{4\,a\,\left(c\,x^4+a\right)}+\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{7/4}\,c^{1/4}}+\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{7/4}\,c^{1/4}}","Not used",1,"x/(4*a*(a + c*x^4)) + (3*atan((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(7/4)*c^(1/4)) + (3*atanh((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(7/4)*c^(1/4))","B"
405,1,1591,855,2.994863,"\text{Not used}","int(1/((a + c*x^4)^2*(d + e*x)),x)","\frac{e^3}{4\,\left(a^2\,e^4+a\,c\,d^4+a\,c\,e^4\,x^4+c^2\,d^4\,x^4\right)}+\left(\sum _{k=1}^4\ln\left(\frac{81\,c^5\,d^5\,e^6+64\,a\,c^4\,d\,e^{10}}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}+\mathrm{root}\left(131072\,a^8\,c\,d^4\,e^4\,z^4+65536\,a^7\,c^2\,d^8\,z^4+65536\,a^9\,e^8\,z^4+65536\,a^7\,e^7\,z^3+5120\,a^4\,c\,d^4\,e^2\,z^2+24576\,a^5\,e^6\,z^2+1152\,a^2\,c\,d^4\,e\,z+4096\,a^3\,e^5\,z+81\,c\,d^4+256\,a\,e^4,z,k\right)\,\left(\mathrm{root}\left(131072\,a^8\,c\,d^4\,e^4\,z^4+65536\,a^7\,c^2\,d^8\,z^4+65536\,a^9\,e^8\,z^4+65536\,a^7\,e^7\,z^3+5120\,a^4\,c\,d^4\,e^2\,z^2+24576\,a^5\,e^6\,z^2+1152\,a^2\,c\,d^4\,e\,z+4096\,a^3\,e^5\,z+81\,c\,d^4+256\,a\,e^4,z,k\right)\,\left(\mathrm{root}\left(131072\,a^8\,c\,d^4\,e^4\,z^4+65536\,a^7\,c^2\,d^8\,z^4+65536\,a^9\,e^8\,z^4+65536\,a^7\,e^7\,z^3+5120\,a^4\,c\,d^4\,e^2\,z^2+24576\,a^5\,e^6\,z^2+1152\,a^2\,c\,d^4\,e\,z+4096\,a^3\,e^5\,z+81\,c\,d^4+256\,a\,e^4,z,k\right)\,\left(\mathrm{root}\left(131072\,a^8\,c\,d^4\,e^4\,z^4+65536\,a^7\,c^2\,d^8\,z^4+65536\,a^9\,e^8\,z^4+65536\,a^7\,e^7\,z^3+5120\,a^4\,c\,d^4\,e^2\,z^2+24576\,a^5\,e^6\,z^2+1152\,a^2\,c\,d^4\,e\,z+4096\,a^3\,e^5\,z+81\,c\,d^4+256\,a\,e^4,z,k\right)\,\left(\frac{98304\,a^9\,c^4\,d\,e^{14}+163840\,a^8\,c^5\,d^5\,e^{10}+32768\,a^7\,c^6\,d^9\,e^6-32768\,a^6\,c^7\,d^{13}\,e^2}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}+\frac{x\,\left(81920\,a^9\,c^4\,e^{15}+114688\,a^8\,c^5\,d^4\,e^{11}-16384\,a^7\,c^6\,d^8\,e^7-49152\,a^6\,c^7\,d^{12}\,e^3\right)}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}\right)+\frac{52224\,a^7\,c^4\,d\,e^{13}+68608\,a^6\,c^5\,d^5\,e^9+13312\,a^5\,c^6\,d^9\,e^5-3072\,a^4\,c^7\,d^{13}\,e}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}+\frac{x\,\left(61440\,a^7\,c^4\,e^{14}+65536\,a^6\,c^5\,d^4\,e^{10}-4096\,a^5\,c^6\,d^8\,e^6-8192\,a^4\,c^7\,d^{12}\,e^2\right)}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}\right)+\frac{8704\,a^5\,c^4\,d\,e^{12}+15360\,a^4\,c^5\,d^5\,e^8+3584\,a^3\,c^6\,d^9\,e^4}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}+\frac{x\,\left(15360\,a^5\,c^4\,e^{13}+18880\,a^4\,c^5\,d^4\,e^9+1920\,a^3\,c^6\,d^8\,e^5-576\,a^2\,c^7\,d^{12}\,e\right)}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}\right)+\frac{704\,a^3\,c^4\,d\,e^{11}+1536\,a^2\,c^5\,d^5\,e^7+192\,a\,c^6\,d^9\,e^3}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}+\frac{x\,\left(1280\,a^3\,c^4\,e^{12}+2240\,a^2\,c^5\,d^4\,e^8+256\,a\,c^6\,d^8\,e^4\right)}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}\right)+\frac{81\,c^5\,d^4\,e^7\,x}{256\,\left(a^6\,e^8+2\,a^5\,c\,d^4\,e^4+a^4\,c^2\,d^8\right)}\right)\,\mathrm{root}\left(131072\,a^8\,c\,d^4\,e^4\,z^4+65536\,a^7\,c^2\,d^8\,z^4+65536\,a^9\,e^8\,z^4+65536\,a^7\,e^7\,z^3+5120\,a^4\,c\,d^4\,e^2\,z^2+24576\,a^5\,e^6\,z^2+1152\,a^2\,c\,d^4\,e\,z+4096\,a^3\,e^5\,z+81\,c\,d^4+256\,a\,e^4,z,k\right)\right)+\frac{e^7\,\ln\left(d+e\,x\right)}{a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8}+\frac{c\,d^3\,x}{4\,\left(a^3\,e^4+a^2\,c\,d^4+a^2\,c\,e^4\,x^4+a\,c^2\,d^4\,x^4\right)}-\frac{c\,d^2\,e\,x^2}{4\,\left(a^3\,e^4+a^2\,c\,d^4+a^2\,c\,e^4\,x^4+a\,c^2\,d^4\,x^4\right)}+\frac{c\,d\,e^2\,x^3}{4\,\left(a^3\,e^4+a^2\,c\,d^4+a^2\,c\,e^4\,x^4+a\,c^2\,d^4\,x^4\right)}","Not used",1,"e^3/(4*(a^2*e^4 + c^2*d^4*x^4 + a*c*d^4 + a*c*e^4*x^4)) + symsum(log((81*c^5*d^5*e^6 + 64*a*c^4*d*e^10)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)) + root(131072*a^8*c*d^4*e^4*z^4 + 65536*a^7*c^2*d^8*z^4 + 65536*a^9*e^8*z^4 + 65536*a^7*e^7*z^3 + 5120*a^4*c*d^4*e^2*z^2 + 24576*a^5*e^6*z^2 + 1152*a^2*c*d^4*e*z + 4096*a^3*e^5*z + 81*c*d^4 + 256*a*e^4, z, k)*(root(131072*a^8*c*d^4*e^4*z^4 + 65536*a^7*c^2*d^8*z^4 + 65536*a^9*e^8*z^4 + 65536*a^7*e^7*z^3 + 5120*a^4*c*d^4*e^2*z^2 + 24576*a^5*e^6*z^2 + 1152*a^2*c*d^4*e*z + 4096*a^3*e^5*z + 81*c*d^4 + 256*a*e^4, z, k)*(root(131072*a^8*c*d^4*e^4*z^4 + 65536*a^7*c^2*d^8*z^4 + 65536*a^9*e^8*z^4 + 65536*a^7*e^7*z^3 + 5120*a^4*c*d^4*e^2*z^2 + 24576*a^5*e^6*z^2 + 1152*a^2*c*d^4*e*z + 4096*a^3*e^5*z + 81*c*d^4 + 256*a*e^4, z, k)*(root(131072*a^8*c*d^4*e^4*z^4 + 65536*a^7*c^2*d^8*z^4 + 65536*a^9*e^8*z^4 + 65536*a^7*e^7*z^3 + 5120*a^4*c*d^4*e^2*z^2 + 24576*a^5*e^6*z^2 + 1152*a^2*c*d^4*e*z + 4096*a^3*e^5*z + 81*c*d^4 + 256*a*e^4, z, k)*((98304*a^9*c^4*d*e^14 - 32768*a^6*c^7*d^13*e^2 + 32768*a^7*c^6*d^9*e^6 + 163840*a^8*c^5*d^5*e^10)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)) + (x*(81920*a^9*c^4*e^15 - 49152*a^6*c^7*d^12*e^3 - 16384*a^7*c^6*d^8*e^7 + 114688*a^8*c^5*d^4*e^11))/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4))) + (52224*a^7*c^4*d*e^13 - 3072*a^4*c^7*d^13*e + 13312*a^5*c^6*d^9*e^5 + 68608*a^6*c^5*d^5*e^9)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)) + (x*(61440*a^7*c^4*e^14 - 8192*a^4*c^7*d^12*e^2 - 4096*a^5*c^6*d^8*e^6 + 65536*a^6*c^5*d^4*e^10))/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4))) + (8704*a^5*c^4*d*e^12 + 3584*a^3*c^6*d^9*e^4 + 15360*a^4*c^5*d^5*e^8)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)) + (x*(15360*a^5*c^4*e^13 - 576*a^2*c^7*d^12*e + 1920*a^3*c^6*d^8*e^5 + 18880*a^4*c^5*d^4*e^9))/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4))) + (192*a*c^6*d^9*e^3 + 704*a^3*c^4*d*e^11 + 1536*a^2*c^5*d^5*e^7)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)) + (x*(1280*a^3*c^4*e^12 + 256*a*c^6*d^8*e^4 + 2240*a^2*c^5*d^4*e^8))/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4))) + (81*c^5*d^4*e^7*x)/(256*(a^6*e^8 + a^4*c^2*d^8 + 2*a^5*c*d^4*e^4)))*root(131072*a^8*c*d^4*e^4*z^4 + 65536*a^7*c^2*d^8*z^4 + 65536*a^9*e^8*z^4 + 65536*a^7*e^7*z^3 + 5120*a^4*c*d^4*e^2*z^2 + 24576*a^5*e^6*z^2 + 1152*a^2*c*d^4*e*z + 4096*a^3*e^5*z + 81*c*d^4 + 256*a*e^4, z, k), k, 1, 4) + (e^7*log(d + e*x))/(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4) + (c*d^3*x)/(4*(a^3*e^4 + a^2*c*d^4 + a*c^2*d^4*x^4 + a^2*c*e^4*x^4)) - (c*d^2*e*x^2)/(4*(a^3*e^4 + a^2*c*d^4 + a*c^2*d^4*x^4 + a^2*c*e^4*x^4)) + (c*d*e^2*x^3)/(4*(a^3*e^4 + a^2*c*d^4 + a*c^2*d^4*x^4 + a^2*c*e^4*x^4))","B"
406,1,2246,1141,4.104272,"\text{Not used}","int(1/((a + c*x^4)^2*(d + e*x)^2),x)","\left(\sum _{k=1}^4\ln\left(\mathrm{root}\left(196608\,a^9\,c\,d^4\,e^8\,z^4+196608\,a^8\,c^2\,d^8\,e^4\,z^4+65536\,a^7\,c^3\,d^{12}\,z^4+65536\,a^{10}\,e^{12}\,z^4+524288\,a^7\,c\,d^3\,e^7\,z^3+181248\,a^5\,c\,d^2\,e^6\,z^2+17408\,a^4\,c^2\,d^6\,e^2\,z^2+2304\,a^2\,c^2\,d^5\,e\,z+19200\,a^3\,c\,d\,e^5\,z+625\,a\,c\,e^4+81\,c^2\,d^4,z,k\right)\,\left(\frac{19320\,a^4\,c^5\,d^2\,e^{15}-10904\,a^3\,c^6\,d^6\,e^{11}+2664\,a^2\,c^7\,d^{10}\,e^7+120\,a\,c^8\,d^{14}\,e^3}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}+\mathrm{root}\left(196608\,a^9\,c\,d^4\,e^8\,z^4+196608\,a^8\,c^2\,d^8\,e^4\,z^4+65536\,a^7\,c^3\,d^{12}\,z^4+65536\,a^{10}\,e^{12}\,z^4+524288\,a^7\,c\,d^3\,e^7\,z^3+181248\,a^5\,c\,d^2\,e^6\,z^2+17408\,a^4\,c^2\,d^6\,e^2\,z^2+2304\,a^2\,c^2\,d^5\,e\,z+19200\,a^3\,c\,d\,e^5\,z+625\,a\,c\,e^4+81\,c^2\,d^4,z,k\right)\,\left(\frac{144384\,a^6\,c^5\,d^3\,e^{16}-2048\,a^5\,c^6\,d^7\,e^{12}+54272\,a^4\,c^7\,d^{11}\,e^8+4096\,a^3\,c^8\,d^{15}\,e^4}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}+\mathrm{root}\left(196608\,a^9\,c\,d^4\,e^8\,z^4+196608\,a^8\,c^2\,d^8\,e^4\,z^4+65536\,a^7\,c^3\,d^{12}\,z^4+65536\,a^{10}\,e^{12}\,z^4+524288\,a^7\,c\,d^3\,e^7\,z^3+181248\,a^5\,c\,d^2\,e^6\,z^2+17408\,a^4\,c^2\,d^6\,e^2\,z^2+2304\,a^2\,c^2\,d^5\,e\,z+19200\,a^3\,c\,d\,e^5\,z+625\,a\,c\,e^4+81\,c^2\,d^4,z,k\right)\,\left(\mathrm{root}\left(196608\,a^9\,c\,d^4\,e^8\,z^4+196608\,a^8\,c^2\,d^8\,e^4\,z^4+65536\,a^7\,c^3\,d^{12}\,z^4+65536\,a^{10}\,e^{12}\,z^4+524288\,a^7\,c\,d^3\,e^7\,z^3+181248\,a^5\,c\,d^2\,e^6\,z^2+17408\,a^4\,c^2\,d^6\,e^2\,z^2+2304\,a^2\,c^2\,d^5\,e\,z+19200\,a^3\,c\,d\,e^5\,z+625\,a\,c\,e^4+81\,c^2\,d^4,z,k\right)\,\left(\frac{98304\,a^{11}\,c^4\,d\,e^{22}+360448\,a^{10}\,c^5\,d^5\,e^{18}+458752\,a^9\,c^6\,d^9\,e^{14}+196608\,a^8\,c^7\,d^{13}\,e^{10}-32768\,a^7\,c^8\,d^{17}\,e^6-32768\,a^6\,c^9\,d^{21}\,e^2}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}+\frac{x\,\left(81920\,a^{11}\,c^4\,e^{23}+278528\,a^{10}\,c^5\,d^4\,e^{19}+294912\,a^9\,c^6\,d^8\,e^{15}+32768\,a^8\,c^7\,d^{12}\,e^{11}-114688\,a^7\,c^8\,d^{16}\,e^7-49152\,a^6\,c^9\,d^{20}\,e^3\right)}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}\right)+\frac{5120\,a^9\,c^4\,e^{21}+304128\,a^8\,c^5\,d^4\,e^{17}+616448\,a^7\,c^6\,d^8\,e^{13}+337920\,a^6\,c^7\,d^{12}\,e^9+17408\,a^5\,c^8\,d^{16}\,e^5-3072\,a^4\,c^9\,d^{20}\,e}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}+\frac{x\,\left(391168\,a^8\,c^5\,d^3\,e^{18}+770048\,a^7\,c^6\,d^7\,e^{14}+356352\,a^6\,c^7\,d^{11}\,e^{10}-32768\,a^5\,c^8\,d^{15}\,e^6-10240\,a^4\,c^9\,d^{19}\,e^2\right)}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}\right)+\frac{x\,\left(183744\,a^6\,c^5\,d^2\,e^{17}+221952\,a^5\,c^6\,d^6\,e^{13}+105088\,a^4\,c^7\,d^{10}\,e^9+768\,a^3\,c^8\,d^{14}\,e^5-576\,a^2\,c^9\,d^{18}\,e\right)}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}\right)+\frac{x\,\left(19400\,a^4\,c^5\,d\,e^{16}+2136\,a^3\,c^6\,d^5\,e^{12}+7512\,a^2\,c^7\,d^9\,e^8+200\,a\,c^8\,d^{13}\,e^4\right)}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}\right)+\frac{625\,a^2\,c^5\,d\,e^{14}-254\,a\,c^6\,d^5\,e^{10}+81\,c^7\,d^9\,e^6}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}+\frac{x\,\left(625\,a^2\,c^5\,e^{15}-894\,a\,c^6\,d^4\,e^{11}+81\,c^7\,d^8\,e^7\right)}{256\,\left(a^8\,e^{16}+4\,a^7\,c\,d^4\,e^{12}+6\,a^6\,c^2\,d^8\,e^8+4\,a^5\,c^3\,d^{12}\,e^4+a^4\,c^4\,d^{16}\right)}\right)\,\mathrm{root}\left(196608\,a^9\,c\,d^4\,e^8\,z^4+196608\,a^8\,c^2\,d^8\,e^4\,z^4+65536\,a^7\,c^3\,d^{12}\,z^4+65536\,a^{10}\,e^{12}\,z^4+524288\,a^7\,c\,d^3\,e^7\,z^3+181248\,a^5\,c\,d^2\,e^6\,z^2+17408\,a^4\,c^2\,d^6\,e^2\,z^2+2304\,a^2\,c^2\,d^5\,e\,z+19200\,a^3\,c\,d\,e^5\,z+625\,a\,c\,e^4+81\,c^2\,d^4,z,k\right)\right)+\frac{\frac{x^4\,\left(3\,c^2\,d^4\,e^3-5\,a\,c\,e^7\right)}{4\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{a\,e^7-c\,d^4\,e^3}{{\left(c\,d^4+a\,e^4\right)}^2}+\frac{c\,d^3\,x}{4\,a\,\left(c\,d^4+a\,e^4\right)}-\frac{c\,d^2\,e\,x^2}{4\,a\,\left(c\,d^4+a\,e^4\right)}+\frac{c\,d\,e^2\,x^3}{4\,a\,\left(c\,d^4+a\,e^4\right)}}{c\,e\,x^5+c\,d\,x^4+a\,e\,x+a\,d}+\frac{8\,c\,d^3\,e^7\,\ln\left(d+e\,x\right)}{a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}}","Not used",1,"symsum(log(root(196608*a^9*c*d^4*e^8*z^4 + 196608*a^8*c^2*d^8*e^4*z^4 + 65536*a^7*c^3*d^12*z^4 + 65536*a^10*e^12*z^4 + 524288*a^7*c*d^3*e^7*z^3 + 181248*a^5*c*d^2*e^6*z^2 + 17408*a^4*c^2*d^6*e^2*z^2 + 2304*a^2*c^2*d^5*e*z + 19200*a^3*c*d*e^5*z + 625*a*c*e^4 + 81*c^2*d^4, z, k)*((120*a*c^8*d^14*e^3 + 2664*a^2*c^7*d^10*e^7 - 10904*a^3*c^6*d^6*e^11 + 19320*a^4*c^5*d^2*e^15)/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)) + root(196608*a^9*c*d^4*e^8*z^4 + 196608*a^8*c^2*d^8*e^4*z^4 + 65536*a^7*c^3*d^12*z^4 + 65536*a^10*e^12*z^4 + 524288*a^7*c*d^3*e^7*z^3 + 181248*a^5*c*d^2*e^6*z^2 + 17408*a^4*c^2*d^6*e^2*z^2 + 2304*a^2*c^2*d^5*e*z + 19200*a^3*c*d*e^5*z + 625*a*c*e^4 + 81*c^2*d^4, z, k)*((4096*a^3*c^8*d^15*e^4 + 54272*a^4*c^7*d^11*e^8 - 2048*a^5*c^6*d^7*e^12 + 144384*a^6*c^5*d^3*e^16)/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)) + root(196608*a^9*c*d^4*e^8*z^4 + 196608*a^8*c^2*d^8*e^4*z^4 + 65536*a^7*c^3*d^12*z^4 + 65536*a^10*e^12*z^4 + 524288*a^7*c*d^3*e^7*z^3 + 181248*a^5*c*d^2*e^6*z^2 + 17408*a^4*c^2*d^6*e^2*z^2 + 2304*a^2*c^2*d^5*e*z + 19200*a^3*c*d*e^5*z + 625*a*c*e^4 + 81*c^2*d^4, z, k)*(root(196608*a^9*c*d^4*e^8*z^4 + 196608*a^8*c^2*d^8*e^4*z^4 + 65536*a^7*c^3*d^12*z^4 + 65536*a^10*e^12*z^4 + 524288*a^7*c*d^3*e^7*z^3 + 181248*a^5*c*d^2*e^6*z^2 + 17408*a^4*c^2*d^6*e^2*z^2 + 2304*a^2*c^2*d^5*e*z + 19200*a^3*c*d*e^5*z + 625*a*c*e^4 + 81*c^2*d^4, z, k)*((98304*a^11*c^4*d*e^22 - 32768*a^6*c^9*d^21*e^2 - 32768*a^7*c^8*d^17*e^6 + 196608*a^8*c^7*d^13*e^10 + 458752*a^9*c^6*d^9*e^14 + 360448*a^10*c^5*d^5*e^18)/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)) + (x*(81920*a^11*c^4*e^23 - 49152*a^6*c^9*d^20*e^3 - 114688*a^7*c^8*d^16*e^7 + 32768*a^8*c^7*d^12*e^11 + 294912*a^9*c^6*d^8*e^15 + 278528*a^10*c^5*d^4*e^19))/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8))) + (5120*a^9*c^4*e^21 - 3072*a^4*c^9*d^20*e + 17408*a^5*c^8*d^16*e^5 + 337920*a^6*c^7*d^12*e^9 + 616448*a^7*c^6*d^8*e^13 + 304128*a^8*c^5*d^4*e^17)/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)) + (x*(356352*a^6*c^7*d^11*e^10 - 32768*a^5*c^8*d^15*e^6 - 10240*a^4*c^9*d^19*e^2 + 770048*a^7*c^6*d^7*e^14 + 391168*a^8*c^5*d^3*e^18))/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8))) + (x*(768*a^3*c^8*d^14*e^5 - 576*a^2*c^9*d^18*e + 105088*a^4*c^7*d^10*e^9 + 221952*a^5*c^6*d^6*e^13 + 183744*a^6*c^5*d^2*e^17))/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8))) + (x*(200*a*c^8*d^13*e^4 + 19400*a^4*c^5*d*e^16 + 7512*a^2*c^7*d^9*e^8 + 2136*a^3*c^6*d^5*e^12))/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8))) + (81*c^7*d^9*e^6 - 254*a*c^6*d^5*e^10 + 625*a^2*c^5*d*e^14)/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)) + (x*(625*a^2*c^5*e^15 + 81*c^7*d^8*e^7 - 894*a*c^6*d^4*e^11))/(256*(a^8*e^16 + a^4*c^4*d^16 + 4*a^7*c*d^4*e^12 + 4*a^5*c^3*d^12*e^4 + 6*a^6*c^2*d^8*e^8)))*root(196608*a^9*c*d^4*e^8*z^4 + 196608*a^8*c^2*d^8*e^4*z^4 + 65536*a^7*c^3*d^12*z^4 + 65536*a^10*e^12*z^4 + 524288*a^7*c*d^3*e^7*z^3 + 181248*a^5*c*d^2*e^6*z^2 + 17408*a^4*c^2*d^6*e^2*z^2 + 2304*a^2*c^2*d^5*e*z + 19200*a^3*c*d*e^5*z + 625*a*c*e^4 + 81*c^2*d^4, z, k), k, 1, 4) + ((x^4*(3*c^2*d^4*e^3 - 5*a*c*e^7))/(4*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (a*e^7 - c*d^4*e^3)/(a*e^4 + c*d^4)^2 + (c*d^3*x)/(4*a*(a*e^4 + c*d^4)) - (c*d^2*e*x^2)/(4*a*(a*e^4 + c*d^4)) + (c*d*e^2*x^3)/(4*a*(a*e^4 + c*d^4)))/(a*d + a*e*x + c*d*x^4 + c*e*x^5) + (8*c*d^3*e^7*log(d + e*x))/(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)","B"
407,1,3256,1384,5.038330,"\text{Not used}","int(1/((a + c*x^4)^2*(d + e*x)^3),x)","\left(\sum _{k=1}^4\ln\left(\mathrm{root}\left(262144\,a^{10}\,c\,d^4\,e^{12}\,z^4+393216\,a^9\,c^2\,d^8\,e^8\,z^4+262144\,a^8\,c^3\,d^{12}\,e^4\,z^4+65536\,a^7\,c^4\,d^{16}\,z^4+65536\,a^{11}\,e^{16}\,z^4-786432\,a^8\,c\,d^2\,e^{11}\,z^3+2359296\,a^7\,c^2\,d^6\,e^7\,z^3+755712\,a^5\,c^2\,d^4\,e^6\,z^2+36864\,a^4\,c^3\,d^8\,e^2\,z^2+18432\,a^6\,c\,e^{10}\,z^2+58752\,a^3\,c^2\,d^2\,e^5\,z+3456\,a^2\,c^3\,d^6\,e\,z+1296\,a\,c^2\,e^4+81\,c^3\,d^4,z,k\right)\,\left(\frac{-79380\,a^5\,c^6\,d^3\,e^{19}+591408\,a^4\,c^7\,d^7\,e^{15}-99576\,a^3\,c^8\,d^{11}\,e^{11}+3888\,a^2\,c^9\,d^{15}\,e^7+108\,a\,c^{10}\,d^{19}\,e^3}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}+\mathrm{root}\left(262144\,a^{10}\,c\,d^4\,e^{12}\,z^4+393216\,a^9\,c^2\,d^8\,e^8\,z^4+262144\,a^8\,c^3\,d^{12}\,e^4\,z^4+65536\,a^7\,c^4\,d^{16}\,z^4+65536\,a^{11}\,e^{16}\,z^4-786432\,a^8\,c\,d^2\,e^{11}\,z^3+2359296\,a^7\,c^2\,d^6\,e^7\,z^3+755712\,a^5\,c^2\,d^4\,e^6\,z^2+36864\,a^4\,c^3\,d^8\,e^2\,z^2+18432\,a^6\,c\,e^{10}\,z^2+58752\,a^3\,c^2\,d^2\,e^5\,z+3456\,a^2\,c^3\,d^6\,e\,z+1296\,a\,c^2\,e^4+81\,c^3\,d^4,z,k\right)\,\left(\frac{6912\,a^8\,c^5\,d\,e^{24}-612864\,a^7\,c^6\,d^5\,e^{20}+5976576\,a^6\,c^7\,d^9\,e^{16}-331776\,a^5\,c^8\,d^{13}\,e^{12}+154368\,a^4\,c^9\,d^{17}\,e^8+4608\,a^3\,c^{10}\,d^{21}\,e^4}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}+\mathrm{root}\left(262144\,a^{10}\,c\,d^4\,e^{12}\,z^4+393216\,a^9\,c^2\,d^8\,e^8\,z^4+262144\,a^8\,c^3\,d^{12}\,e^4\,z^4+65536\,a^7\,c^4\,d^{16}\,z^4+65536\,a^{11}\,e^{16}\,z^4-786432\,a^8\,c\,d^2\,e^{11}\,z^3+2359296\,a^7\,c^2\,d^6\,e^7\,z^3+755712\,a^5\,c^2\,d^4\,e^6\,z^2+36864\,a^4\,c^3\,d^8\,e^2\,z^2+18432\,a^6\,c\,e^{10}\,z^2+58752\,a^3\,c^2\,d^2\,e^5\,z+3456\,a^2\,c^3\,d^6\,e\,z+1296\,a\,c^2\,e^4+81\,c^3\,d^4,z,k\right)\,\left(\frac{-506880\,a^{10}\,c^5\,d^3\,e^{25}-423936\,a^9\,c^6\,d^7\,e^{21}+1797120\,a^8\,c^7\,d^{11}\,e^{17}+2863104\,a^7\,c^8\,d^{15}\,e^{13}+1170432\,a^6\,c^9\,d^{19}\,e^9+18432\,a^5\,c^{10}\,d^{23}\,e^5-3072\,a^4\,c^{11}\,d^{27}\,e}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}+\mathrm{root}\left(262144\,a^{10}\,c\,d^4\,e^{12}\,z^4+393216\,a^9\,c^2\,d^8\,e^8\,z^4+262144\,a^8\,c^3\,d^{12}\,e^4\,z^4+65536\,a^7\,c^4\,d^{16}\,z^4+65536\,a^{11}\,e^{16}\,z^4-786432\,a^8\,c\,d^2\,e^{11}\,z^3+2359296\,a^7\,c^2\,d^6\,e^7\,z^3+755712\,a^5\,c^2\,d^4\,e^6\,z^2+36864\,a^4\,c^3\,d^8\,e^2\,z^2+18432\,a^6\,c\,e^{10}\,z^2+58752\,a^3\,c^2\,d^2\,e^5\,z+3456\,a^2\,c^3\,d^6\,e\,z+1296\,a\,c^2\,e^4+81\,c^3\,d^4,z,k\right)\,\left(\frac{98304\,a^{13}\,c^4\,d\,e^{30}+557056\,a^{12}\,c^5\,d^5\,e^{26}+1277952\,a^{11}\,c^6\,d^9\,e^{22}+1474560\,a^{10}\,c^7\,d^{13}\,e^{18}+819200\,a^9\,c^8\,d^{17}\,e^{14}+98304\,a^8\,c^9\,d^{21}\,e^{10}-98304\,a^7\,c^{10}\,d^{25}\,e^6-32768\,a^6\,c^{11}\,d^{29}\,e^2}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}+\frac{x\,\left(81920\,a^{13}\,c^4\,e^{31}+442368\,a^{12}\,c^5\,d^4\,e^{27}+933888\,a^{11}\,c^6\,d^8\,e^{23}+901120\,a^{10}\,c^7\,d^{12}\,e^{19}+245760\,a^9\,c^8\,d^{16}\,e^{15}-245760\,a^8\,c^9\,d^{20}\,e^{11}-212992\,a^7\,c^{10}\,d^{24}\,e^7-49152\,a^6\,c^{11}\,d^{28}\,e^3\right)}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}\right)-\frac{x\,\left(675840\,a^{10}\,c^5\,d^2\,e^{26}+393216\,a^9\,c^6\,d^6\,e^{22}-2813952\,a^8\,c^7\,d^{10}\,e^{18}-4030464\,a^7\,c^8\,d^{14}\,e^{14}-1413120\,a^6\,c^9\,d^{18}\,e^{10}+98304\,a^5\,c^{10}\,d^{22}\,e^6+12288\,a^4\,c^{11}\,d^{26}\,e^2\right)}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}\right)+\frac{x\,\left(20736\,a^8\,c^5\,e^{25}-228672\,a^7\,c^6\,d^4\,e^{21}+4093632\,a^6\,c^7\,d^8\,e^{17}+2468736\,a^5\,c^8\,d^{12}\,e^{13}+484992\,a^4\,c^9\,d^{16}\,e^9-576\,a^3\,c^{10}\,d^{20}\,e^5-576\,a^2\,c^{11}\,d^{24}\,e\right)}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}\right)+\frac{x\,\left(86616\,a^5\,c^6\,d^2\,e^{20}+59616\,a^4\,c^7\,d^6\,e^{16}-2160\,a^3\,c^8\,d^{10}\,e^{12}+25056\,a^2\,c^9\,d^{14}\,e^8+216\,a\,c^{10}\,d^{18}\,e^4\right)}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}\right)+\frac{1296\,a^3\,c^6\,d\,e^{18}+3969\,a^2\,c^7\,d^5\,e^{14}-2430\,a\,c^8\,d^9\,e^{10}+81\,c^9\,d^{13}\,e^6}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}+\frac{x\,\left(1296\,a^3\,c^6\,e^{19}+5265\,a^2\,c^7\,d^4\,e^{15}-6318\,a\,c^8\,d^8\,e^{11}+81\,c^9\,d^{12}\,e^7\right)}{256\,\left(a^{10}\,e^{24}+6\,a^9\,c\,d^4\,e^{20}+15\,a^8\,c^2\,d^8\,e^{16}+20\,a^7\,c^3\,d^{12}\,e^{12}+15\,a^6\,c^4\,d^{16}\,e^8+6\,a^5\,c^5\,d^{20}\,e^4+a^4\,c^6\,d^{24}\right)}\right)\,\mathrm{root}\left(262144\,a^{10}\,c\,d^4\,e^{12}\,z^4+393216\,a^9\,c^2\,d^8\,e^8\,z^4+262144\,a^8\,c^3\,d^{12}\,e^4\,z^4+65536\,a^7\,c^4\,d^{16}\,z^4+65536\,a^{11}\,e^{16}\,z^4-786432\,a^8\,c\,d^2\,e^{11}\,z^3+2359296\,a^7\,c^2\,d^6\,e^7\,z^3+755712\,a^5\,c^2\,d^4\,e^6\,z^2+36864\,a^4\,c^3\,d^8\,e^2\,z^2+18432\,a^6\,c\,e^{10}\,z^2+58752\,a^3\,c^2\,d^2\,e^5\,z+3456\,a^2\,c^3\,d^6\,e\,z+1296\,a\,c^2\,e^4+81\,c^3\,d^4,z,k\right)\right)-\frac{\frac{a^2\,e^{11}+20\,a\,c\,d^4\,e^7-5\,c^2\,d^8\,e^3}{2\,\left(c\,d^4+a\,e^4\right)\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{3\,x^5\,\left(c^3\,d^7\,e^4-7\,a\,c^2\,d^3\,e^8\right)}{2\,a\,\left(a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}\right)}+\frac{3\,x^4\,\left(a^2\,c\,e^{11}+14\,a\,c^2\,d^4\,e^7-3\,c^3\,d^8\,e^3\right)}{4\,a\,\left(a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}\right)}+\frac{c\,d^2\,e\,x^2}{4\,a\,\left(c\,d^4+a\,e^4\right)}-\frac{c\,d\,e^2\,x^3}{4\,a\,\left(c\,d^4+a\,e^4\right)}-\frac{d\,x\,\left(-41\,a^2\,c\,d^2\,e^8+8\,a\,c^2\,d^6\,e^4+c^3\,d^{10}\right)}{4\,a\,\left(c\,d^4+a\,e^4\right)\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}}{c\,d^2\,x^4+a\,d^2+2\,c\,d\,e\,x^5+2\,a\,d\,e\,x+c\,e^2\,x^6+a\,e^2\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(36\,c^2\,d^6\,e^7-12\,a\,c\,d^2\,e^{11}\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}","Not used",1,"symsum(log(root(262144*a^10*c*d^4*e^12*z^4 + 393216*a^9*c^2*d^8*e^8*z^4 + 262144*a^8*c^3*d^12*e^4*z^4 + 65536*a^7*c^4*d^16*z^4 + 65536*a^11*e^16*z^4 - 786432*a^8*c*d^2*e^11*z^3 + 2359296*a^7*c^2*d^6*e^7*z^3 + 755712*a^5*c^2*d^4*e^6*z^2 + 36864*a^4*c^3*d^8*e^2*z^2 + 18432*a^6*c*e^10*z^2 + 58752*a^3*c^2*d^2*e^5*z + 3456*a^2*c^3*d^6*e*z + 1296*a*c^2*e^4 + 81*c^3*d^4, z, k)*((108*a*c^10*d^19*e^3 + 3888*a^2*c^9*d^15*e^7 - 99576*a^3*c^8*d^11*e^11 + 591408*a^4*c^7*d^7*e^15 - 79380*a^5*c^6*d^3*e^19)/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)) + root(262144*a^10*c*d^4*e^12*z^4 + 393216*a^9*c^2*d^8*e^8*z^4 + 262144*a^8*c^3*d^12*e^4*z^4 + 65536*a^7*c^4*d^16*z^4 + 65536*a^11*e^16*z^4 - 786432*a^8*c*d^2*e^11*z^3 + 2359296*a^7*c^2*d^6*e^7*z^3 + 755712*a^5*c^2*d^4*e^6*z^2 + 36864*a^4*c^3*d^8*e^2*z^2 + 18432*a^6*c*e^10*z^2 + 58752*a^3*c^2*d^2*e^5*z + 3456*a^2*c^3*d^6*e*z + 1296*a*c^2*e^4 + 81*c^3*d^4, z, k)*((6912*a^8*c^5*d*e^24 + 4608*a^3*c^10*d^21*e^4 + 154368*a^4*c^9*d^17*e^8 - 331776*a^5*c^8*d^13*e^12 + 5976576*a^6*c^7*d^9*e^16 - 612864*a^7*c^6*d^5*e^20)/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)) + root(262144*a^10*c*d^4*e^12*z^4 + 393216*a^9*c^2*d^8*e^8*z^4 + 262144*a^8*c^3*d^12*e^4*z^4 + 65536*a^7*c^4*d^16*z^4 + 65536*a^11*e^16*z^4 - 786432*a^8*c*d^2*e^11*z^3 + 2359296*a^7*c^2*d^6*e^7*z^3 + 755712*a^5*c^2*d^4*e^6*z^2 + 36864*a^4*c^3*d^8*e^2*z^2 + 18432*a^6*c*e^10*z^2 + 58752*a^3*c^2*d^2*e^5*z + 3456*a^2*c^3*d^6*e*z + 1296*a*c^2*e^4 + 81*c^3*d^4, z, k)*((18432*a^5*c^10*d^23*e^5 - 3072*a^4*c^11*d^27*e + 1170432*a^6*c^9*d^19*e^9 + 2863104*a^7*c^8*d^15*e^13 + 1797120*a^8*c^7*d^11*e^17 - 423936*a^9*c^6*d^7*e^21 - 506880*a^10*c^5*d^3*e^25)/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)) + root(262144*a^10*c*d^4*e^12*z^4 + 393216*a^9*c^2*d^8*e^8*z^4 + 262144*a^8*c^3*d^12*e^4*z^4 + 65536*a^7*c^4*d^16*z^4 + 65536*a^11*e^16*z^4 - 786432*a^8*c*d^2*e^11*z^3 + 2359296*a^7*c^2*d^6*e^7*z^3 + 755712*a^5*c^2*d^4*e^6*z^2 + 36864*a^4*c^3*d^8*e^2*z^2 + 18432*a^6*c*e^10*z^2 + 58752*a^3*c^2*d^2*e^5*z + 3456*a^2*c^3*d^6*e*z + 1296*a*c^2*e^4 + 81*c^3*d^4, z, k)*((98304*a^13*c^4*d*e^30 - 32768*a^6*c^11*d^29*e^2 - 98304*a^7*c^10*d^25*e^6 + 98304*a^8*c^9*d^21*e^10 + 819200*a^9*c^8*d^17*e^14 + 1474560*a^10*c^7*d^13*e^18 + 1277952*a^11*c^6*d^9*e^22 + 557056*a^12*c^5*d^5*e^26)/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)) + (x*(81920*a^13*c^4*e^31 - 49152*a^6*c^11*d^28*e^3 - 212992*a^7*c^10*d^24*e^7 - 245760*a^8*c^9*d^20*e^11 + 245760*a^9*c^8*d^16*e^15 + 901120*a^10*c^7*d^12*e^19 + 933888*a^11*c^6*d^8*e^23 + 442368*a^12*c^5*d^4*e^27))/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16))) - (x*(12288*a^4*c^11*d^26*e^2 + 98304*a^5*c^10*d^22*e^6 - 1413120*a^6*c^9*d^18*e^10 - 4030464*a^7*c^8*d^14*e^14 - 2813952*a^8*c^7*d^10*e^18 + 393216*a^9*c^6*d^6*e^22 + 675840*a^10*c^5*d^2*e^26))/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16))) + (x*(20736*a^8*c^5*e^25 - 576*a^2*c^11*d^24*e - 576*a^3*c^10*d^20*e^5 + 484992*a^4*c^9*d^16*e^9 + 2468736*a^5*c^8*d^12*e^13 + 4093632*a^6*c^7*d^8*e^17 - 228672*a^7*c^6*d^4*e^21))/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16))) + (x*(216*a*c^10*d^18*e^4 + 25056*a^2*c^9*d^14*e^8 - 2160*a^3*c^8*d^10*e^12 + 59616*a^4*c^7*d^6*e^16 + 86616*a^5*c^6*d^2*e^20))/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16))) + (81*c^9*d^13*e^6 - 2430*a*c^8*d^9*e^10 + 1296*a^3*c^6*d*e^18 + 3969*a^2*c^7*d^5*e^14)/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)) + (x*(1296*a^3*c^6*e^19 + 81*c^9*d^12*e^7 - 6318*a*c^8*d^8*e^11 + 5265*a^2*c^7*d^4*e^15))/(256*(a^10*e^24 + a^4*c^6*d^24 + 6*a^9*c*d^4*e^20 + 6*a^5*c^5*d^20*e^4 + 15*a^6*c^4*d^16*e^8 + 20*a^7*c^3*d^12*e^12 + 15*a^8*c^2*d^8*e^16)))*root(262144*a^10*c*d^4*e^12*z^4 + 393216*a^9*c^2*d^8*e^8*z^4 + 262144*a^8*c^3*d^12*e^4*z^4 + 65536*a^7*c^4*d^16*z^4 + 65536*a^11*e^16*z^4 - 786432*a^8*c*d^2*e^11*z^3 + 2359296*a^7*c^2*d^6*e^7*z^3 + 755712*a^5*c^2*d^4*e^6*z^2 + 36864*a^4*c^3*d^8*e^2*z^2 + 18432*a^6*c*e^10*z^2 + 58752*a^3*c^2*d^2*e^5*z + 3456*a^2*c^3*d^6*e*z + 1296*a*c^2*e^4 + 81*c^3*d^4, z, k), k, 1, 4) - ((a^2*e^11 - 5*c^2*d^8*e^3 + 20*a*c*d^4*e^7)/(2*(a*e^4 + c*d^4)*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (3*x^5*(c^3*d^7*e^4 - 7*a*c^2*d^3*e^8))/(2*a*(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)) + (3*x^4*(a^2*c*e^11 - 3*c^3*d^8*e^3 + 14*a*c^2*d^4*e^7))/(4*a*(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)) + (c*d^2*e*x^2)/(4*a*(a*e^4 + c*d^4)) - (c*d*e^2*x^3)/(4*a*(a*e^4 + c*d^4)) - (d*x*(c^3*d^10 + 8*a*c^2*d^6*e^4 - 41*a^2*c*d^2*e^8))/(4*a*(a*e^4 + c*d^4)*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)))/(a*d^2 + a*e^2*x^2 + c*d^2*x^4 + c*e^2*x^6 + 2*a*d*e*x + 2*c*d*e*x^5) + (log(d + e*x)*(36*c^2*d^6*e^7 - 12*a*c*d^2*e^11))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)","B"
408,1,721,394,0.477880,"\text{Not used}","int((d + e*x)^3/(a + c*x^4)^3,x)","\frac{\frac{11\,d^3\,x}{32\,a}-\frac{e^3}{8\,c}+\frac{7\,c\,d^3\,x^5}{32\,a^2}+\frac{15\,d^2\,e\,x^2}{16\,a}+\frac{27\,d\,e^2\,x^3}{32\,a}+\frac{9\,c\,d^2\,e\,x^6}{16\,a^2}+\frac{15\,c\,d\,e^2\,x^7}{32\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\left(\sum _{k=1}^4\ln\left(\frac{c\,d^2\,\left(6867\,c\,d^5\,e^2-1125\,a\,d\,e^6+7992\,c\,d^4\,e^3\,x-{\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)}^2\,a^5\,c^2\,d\,114688+\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)\,a^3\,c\,e^4\,x\,9600-\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)\,a^2\,c^2\,d^4\,x\,18816+{\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)}^2\,a^5\,c^2\,e\,x\,196608-\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)\,a^3\,c\,d\,e^3\,46080\right)\,3}{a^6\,32768}\right)\,\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+63111168\,a^6\,c^2\,d^4\,e^2\,z^2-8128512\,a^3\,c^2\,d^8\,e\,z+4147200\,a^4\,c\,d^4\,e^5\,z+245106\,a\,c\,d^8\,e^4+50625\,a^2\,d^4\,e^8+194481\,c^2\,d^{12},z,k\right)\right)","Not used",1,"((11*d^3*x)/(32*a) - e^3/(8*c) + (7*c*d^3*x^5)/(32*a^2) + (15*d^2*e*x^2)/(16*a) + (27*d*e^2*x^3)/(32*a) + (9*c*d^2*e*x^6)/(16*a^2) + (15*c*d*e^2*x^7)/(32*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + symsum(log((3*c*d^2*(6867*c*d^5*e^2 - 1125*a*d*e^6 + 7992*c*d^4*e^3*x - 114688*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k)^2*a^5*c^2*d + 9600*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k)*a^3*c*e^4*x - 18816*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k)*a^2*c^2*d^4*x + 196608*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k)^2*a^5*c^2*e*x - 46080*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k)*a^3*c*d*e^3))/(32768*a^6))*root(268435456*a^11*c^3*z^4 + 63111168*a^6*c^2*d^4*e^2*z^2 - 8128512*a^3*c^2*d^8*e*z + 4147200*a^4*c*d^4*e^5*z + 245106*a*c*d^8*e^4 + 50625*a^2*d^4*e^8 + 194481*c^2*d^12, z, k), k, 1, 4)","B"
409,1,676,360,0.470671,"\text{Not used}","int((d + e*x)^2/(a + c*x^4)^3,x)","\frac{\frac{11\,d^2\,x}{32\,a}+\frac{9\,e^2\,x^3}{32\,a}+\frac{7\,c\,d^2\,x^5}{32\,a^2}+\frac{5\,c\,e^2\,x^7}{32\,a^2}+\frac{5\,d\,e\,x^2}{8\,a}+\frac{3\,c\,d\,e\,x^6}{8\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\left(\sum _{k=1}^4\ln\left(-\frac{c\,\left(125\,a\,e^6-9891\,c\,d^4\,e^2+{\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)}^2\,a^5\,c^2\,d^2\,344064-8784\,c\,d^3\,e^3\,x-\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)\,a^3\,c\,e^4\,x\,3200+\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)\,a^2\,c^2\,d^4\,x\,56448+\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)\,a^3\,c\,d\,e^3\,30720-{\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)}^2\,a^5\,c^2\,d\,e\,x\,393216\right)}{a^6\,32768}\right)\,\mathrm{root}\left(268435456\,a^{11}\,c^3\,z^4+25755648\,a^6\,c^2\,d^2\,e^2\,z^2-5419008\,a^3\,c^2\,d^5\,e\,z+307200\,a^4\,c\,d\,e^5\,z+111906\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+625\,a^2\,e^8,z,k\right)\right)","Not used",1,"((11*d^2*x)/(32*a) + (9*e^2*x^3)/(32*a) + (7*c*d^2*x^5)/(32*a^2) + (5*c*e^2*x^7)/(32*a^2) + (5*d*e*x^2)/(8*a) + (3*c*d*e*x^6)/(8*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + symsum(log(-(c*(125*a*e^6 - 9891*c*d^4*e^2 + 344064*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k)^2*a^5*c^2*d^2 - 8784*c*d^3*e^3*x - 3200*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k)*a^3*c*e^4*x + 56448*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k)*a^2*c^2*d^4*x + 30720*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k)*a^3*c*d*e^3 - 393216*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k)^2*a^5*c^2*d*e*x))/(32768*a^6))*root(268435456*a^11*c^3*z^4 + 25755648*a^6*c^2*d^2*e^2*z^2 - 5419008*a^3*c^2*d^5*e*z + 307200*a^4*c*d*e^5*z + 111906*a*c*d^4*e^4 + 194481*c^2*d^8 + 625*a^2*e^8, z, k), k, 1, 4)","B"
410,1,315,266,0.302849,"\text{Not used}","int((d + e*x)/(a + c*x^4)^3,x)","\frac{\frac{5\,e\,x^2}{16\,a}+\frac{11\,d\,x}{32\,a}+\frac{7\,c\,d\,x^5}{32\,a^2}+\frac{3\,c\,e\,x^6}{16\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\left(\sum _{k=1}^4\ln\left(\frac{c^2\,\left(63\,d\,e^2+36\,e^3\,x-{\mathrm{root}\left(268435456\,a^{11}\,c^2\,z^4+4718592\,a^6\,c\,e^2\,z^2-2709504\,a^3\,c\,d^2\,e\,z+194481\,c\,d^4+20736\,a\,e^4,z,k\right)}^2\,a^5\,c\,d\,7168-\mathrm{root}\left(268435456\,a^{11}\,c^2\,z^4+4718592\,a^6\,c\,e^2\,z^2-2709504\,a^3\,c\,d^2\,e\,z+194481\,c\,d^4+20736\,a\,e^4,z,k\right)\,a^2\,c\,d^2\,x\,1176+{\mathrm{root}\left(268435456\,a^{11}\,c^2\,z^4+4718592\,a^6\,c\,e^2\,z^2-2709504\,a^3\,c\,d^2\,e\,z+194481\,c\,d^4+20736\,a\,e^4,z,k\right)}^2\,a^5\,c\,e\,x\,4096\right)\,3}{a^6\,2048}\right)\,\mathrm{root}\left(268435456\,a^{11}\,c^2\,z^4+4718592\,a^6\,c\,e^2\,z^2-2709504\,a^3\,c\,d^2\,e\,z+194481\,c\,d^4+20736\,a\,e^4,z,k\right)\right)","Not used",1,"((5*e*x^2)/(16*a) + (11*d*x)/(32*a) + (7*c*d*x^5)/(32*a^2) + (3*c*e*x^6)/(16*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + symsum(log((3*c^2*(63*d*e^2 + 36*e^3*x - 7168*root(268435456*a^11*c^2*z^4 + 4718592*a^6*c*e^2*z^2 - 2709504*a^3*c*d^2*e*z + 194481*c*d^4 + 20736*a*e^4, z, k)^2*a^5*c*d - 1176*root(268435456*a^11*c^2*z^4 + 4718592*a^6*c*e^2*z^2 - 2709504*a^3*c*d^2*e*z + 194481*c*d^4 + 20736*a*e^4, z, k)*a^2*c*d^2*x + 4096*root(268435456*a^11*c^2*z^4 + 4718592*a^6*c*e^2*z^2 - 2709504*a^3*c*d^2*e*z + 194481*c*d^4 + 20736*a*e^4, z, k)^2*a^5*c*e*x))/(2048*a^6))*root(268435456*a^11*c^2*z^4 + 4718592*a^6*c*e^2*z^2 - 2709504*a^3*c*d^2*e*z + 194481*c*d^4 + 20736*a*e^4, z, k), k, 1, 4)","B"
411,1,80,219,0.095687,"\text{Not used}","int(1/(a + c*x^4)^3,x)","\frac{\frac{11\,x}{32\,a}+\frac{7\,c\,x^5}{32\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{21\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{11/4}\,c^{1/4}}-\frac{21\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{11/4}\,c^{1/4}}","Not used",1,"((11*x)/(32*a) + (7*c*x^5)/(32*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (21*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(11/4)*c^(1/4)) - (21*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(11/4)*c^(1/4))","B"
412,1,2720,1352,4.406488,"\text{Not used}","int(1/((a + c*x^4)^3*(d + e*x)),x)","\left(\sum _{k=1}^4\ln\left(\frac{425984\,a^3\,c^4\,d\,e^{18}+1148881\,a^2\,c^5\,d^5\,e^{14}+871362\,a\,c^6\,d^9\,e^{10}+194481\,c^7\,d^{13}\,e^6}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}+\mathrm{root}\left(805306368\,a^{12}\,c^2\,d^8\,e^4\,z^4+805306368\,a^{13}\,c\,d^4\,e^8\,z^4+268435456\,a^{11}\,c^3\,d^{12}\,z^4+268435456\,a^{14}\,e^{12}\,z^4+268435456\,a^{11}\,e^{11}\,z^3+43057152\,a^7\,c\,d^4\,e^6\,z^2+11599872\,a^6\,c^2\,d^8\,e^2\,z^2+100663296\,a^8\,e^{10}\,z^2+9652224\,a^4\,c\,d^4\,e^5\,z+2709504\,a^3\,c^2\,d^8\,e\,z+16777216\,a^5\,e^9\,z+676881\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+1048576\,a^2\,e^8,z,k\right)\,\left(\mathrm{root}\left(805306368\,a^{12}\,c^2\,d^8\,e^4\,z^4+805306368\,a^{13}\,c\,d^4\,e^8\,z^4+268435456\,a^{11}\,c^3\,d^{12}\,z^4+268435456\,a^{14}\,e^{12}\,z^4+268435456\,a^{11}\,e^{11}\,z^3+43057152\,a^7\,c\,d^4\,e^6\,z^2+11599872\,a^6\,c^2\,d^8\,e^2\,z^2+100663296\,a^8\,e^{10}\,z^2+9652224\,a^4\,c\,d^4\,e^5\,z+2709504\,a^3\,c^2\,d^8\,e\,z+16777216\,a^5\,e^9\,z+676881\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+1048576\,a^2\,e^8,z,k\right)\,\left(\mathrm{root}\left(805306368\,a^{12}\,c^2\,d^8\,e^4\,z^4+805306368\,a^{13}\,c\,d^4\,e^8\,z^4+268435456\,a^{11}\,c^3\,d^{12}\,z^4+268435456\,a^{14}\,e^{12}\,z^4+268435456\,a^{11}\,e^{11}\,z^3+43057152\,a^7\,c\,d^4\,e^6\,z^2+11599872\,a^6\,c^2\,d^8\,e^2\,z^2+100663296\,a^8\,e^{10}\,z^2+9652224\,a^4\,c\,d^4\,e^5\,z+2709504\,a^3\,c^2\,d^8\,e\,z+16777216\,a^5\,e^9\,z+676881\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+1048576\,a^2\,e^8,z,k\right)\,\left(\mathrm{root}\left(805306368\,a^{12}\,c^2\,d^8\,e^4\,z^4+805306368\,a^{13}\,c\,d^4\,e^8\,z^4+268435456\,a^{11}\,c^3\,d^{12}\,z^4+268435456\,a^{14}\,e^{12}\,z^4+268435456\,a^{11}\,e^{11}\,z^3+43057152\,a^7\,c\,d^4\,e^6\,z^2+11599872\,a^6\,c^2\,d^8\,e^2\,z^2+100663296\,a^8\,e^{10}\,z^2+9652224\,a^4\,c\,d^4\,e^5\,z+2709504\,a^3\,c^2\,d^8\,e\,z+16777216\,a^5\,e^9\,z+676881\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+1048576\,a^2\,e^8,z,k\right)\,\left(\frac{402653184\,a^{15}\,c^4\,d\,e^{22}+1476395008\,a^{14}\,c^5\,d^5\,e^{18}+1879048192\,a^{13}\,c^6\,d^9\,e^{14}+805306368\,a^{12}\,c^7\,d^{13}\,e^{10}-134217728\,a^{11}\,c^8\,d^{17}\,e^6-134217728\,a^{10}\,c^9\,d^{21}\,e^2}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}+\frac{x\,\left(335544320\,a^{15}\,c^4\,e^{23}+1140850688\,a^{14}\,c^5\,d^4\,e^{19}+1207959552\,a^{13}\,c^6\,d^8\,e^{15}+134217728\,a^{12}\,c^7\,d^{12}\,e^{11}-469762048\,a^{11}\,c^8\,d^{16}\,e^7-201326592\,a^{10}\,c^9\,d^{20}\,e^3\right)}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}\right)+\frac{211288064\,a^{12}\,c^4\,d\,e^{21}+553123840\,a^{11}\,c^5\,d^5\,e^{17}+514850816\,a^{10}\,c^6\,d^9\,e^{13}+204472320\,a^9\,c^7\,d^{13}\,e^9+20447232\,a^8\,c^8\,d^{17}\,e^5-11010048\,a^7\,c^9\,d^{21}\,e}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}+\frac{x\,\left(251658240\,a^{12}\,c^4\,e^{22}+571473920\,a^{11}\,c^5\,d^4\,e^{18}+377487360\,a^{10}\,c^6\,d^8\,e^{14}+18874368\,a^9\,c^7\,d^{12}\,e^{10}-67108864\,a^8\,c^8\,d^{16}\,e^6-28311552\,a^7\,c^9\,d^{20}\,e^2\right)}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}\right)+\frac{36962304\,a^9\,c^4\,d\,e^{20}+141361152\,a^8\,c^5\,d^5\,e^{16}+138805248\,a^7\,c^6\,d^9\,e^{12}+57999360\,a^6\,c^7\,d^{13}\,e^8+11010048\,a^5\,c^8\,d^{17}\,e^4}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}+\frac{x\,\left(62914560\,a^9\,c^4\,e^{21}+171732992\,a^8\,c^5\,d^4\,e^{17}+143179776\,a^7\,c^6\,d^8\,e^{13}+43032576\,a^6\,c^7\,d^{12}\,e^9+2670592\,a^5\,c^8\,d^{16}\,e^5-1806336\,a^4\,c^9\,d^{20}\,e\right)}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}\right)+\frac{4030464\,a^6\,c^4\,d\,e^{19}+17863744\,a^5\,c^5\,d^5\,e^{15}+15959232\,a^4\,c^6\,d^9\,e^{11}+5061824\,a^3\,c^7\,d^{13}\,e^7+576576\,a^2\,c^8\,d^{17}\,e^3}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}+\frac{x\,\left(5242880\,a^6\,c^4\,e^{20}+22240704\,a^5\,c^5\,d^4\,e^{16}+19579200\,a^4\,c^6\,d^8\,e^{12}+6023488\,a^3\,c^7\,d^{12}\,e^8+755136\,a^2\,c^8\,d^{16}\,e^4\right)}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}\right)+\frac{x\,\left(970321\,a^2\,c^5\,d^4\,e^{15}+871362\,a\,c^6\,d^8\,e^{11}+194481\,c^7\,d^{12}\,e^7\right)}{1048576\,\left(a^{12}\,e^{16}+4\,a^{11}\,c\,d^4\,e^{12}+6\,a^{10}\,c^2\,d^8\,e^8+4\,a^9\,c^3\,d^{12}\,e^4+a^8\,c^4\,d^{16}\right)}\right)\,\mathrm{root}\left(805306368\,a^{12}\,c^2\,d^8\,e^4\,z^4+805306368\,a^{13}\,c\,d^4\,e^8\,z^4+268435456\,a^{11}\,c^3\,d^{12}\,z^4+268435456\,a^{14}\,e^{12}\,z^4+268435456\,a^{11}\,e^{11}\,z^3+43057152\,a^7\,c\,d^4\,e^6\,z^2+11599872\,a^6\,c^2\,d^8\,e^2\,z^2+100663296\,a^8\,e^{10}\,z^2+9652224\,a^4\,c\,d^4\,e^5\,z+2709504\,a^3\,c^2\,d^8\,e\,z+16777216\,a^5\,e^9\,z+676881\,a\,c\,d^4\,e^4+194481\,c^2\,d^8+1048576\,a^2\,e^8,z,k\right)\right)+\frac{\frac{c\,d^4\,e^3+3\,a\,e^7}{8\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{x^5\,\left(7\,c^3\,d^7+15\,a\,c^2\,d^3\,e^4\right)}{32\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{x^2\,\left(5\,c^2\,d^6\,e+9\,a\,c\,d^2\,e^5\right)}{16\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{c\,e^7\,x^4}{4\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{x\,\left(11\,c^2\,d^7+19\,a\,c\,d^3\,e^4\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{x^6\,\left(3\,c^3\,d^6\,e+7\,a\,c^2\,d^2\,e^5\right)}{16\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{e^2\,x^3\,\left(9\,c^2\,d^5+17\,a\,c\,d\,e^4\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{e^2\,x^7\,\left(5\,c^3\,d^5+13\,a\,c^2\,d\,e^4\right)}{32\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{e^{11}\,\ln\left(d+e\,x\right)}{a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}}","Not used",1,"symsum(log((194481*c^7*d^13*e^6 + 871362*a*c^6*d^9*e^10 + 425984*a^3*c^4*d*e^18 + 1148881*a^2*c^5*d^5*e^14)/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)) + root(805306368*a^12*c^2*d^8*e^4*z^4 + 805306368*a^13*c*d^4*e^8*z^4 + 268435456*a^11*c^3*d^12*z^4 + 268435456*a^14*e^12*z^4 + 268435456*a^11*e^11*z^3 + 43057152*a^7*c*d^4*e^6*z^2 + 11599872*a^6*c^2*d^8*e^2*z^2 + 100663296*a^8*e^10*z^2 + 9652224*a^4*c*d^4*e^5*z + 2709504*a^3*c^2*d^8*e*z + 16777216*a^5*e^9*z + 676881*a*c*d^4*e^4 + 194481*c^2*d^8 + 1048576*a^2*e^8, z, k)*(root(805306368*a^12*c^2*d^8*e^4*z^4 + 805306368*a^13*c*d^4*e^8*z^4 + 268435456*a^11*c^3*d^12*z^4 + 268435456*a^14*e^12*z^4 + 268435456*a^11*e^11*z^3 + 43057152*a^7*c*d^4*e^6*z^2 + 11599872*a^6*c^2*d^8*e^2*z^2 + 100663296*a^8*e^10*z^2 + 9652224*a^4*c*d^4*e^5*z + 2709504*a^3*c^2*d^8*e*z + 16777216*a^5*e^9*z + 676881*a*c*d^4*e^4 + 194481*c^2*d^8 + 1048576*a^2*e^8, z, k)*(root(805306368*a^12*c^2*d^8*e^4*z^4 + 805306368*a^13*c*d^4*e^8*z^4 + 268435456*a^11*c^3*d^12*z^4 + 268435456*a^14*e^12*z^4 + 268435456*a^11*e^11*z^3 + 43057152*a^7*c*d^4*e^6*z^2 + 11599872*a^6*c^2*d^8*e^2*z^2 + 100663296*a^8*e^10*z^2 + 9652224*a^4*c*d^4*e^5*z + 2709504*a^3*c^2*d^8*e*z + 16777216*a^5*e^9*z + 676881*a*c*d^4*e^4 + 194481*c^2*d^8 + 1048576*a^2*e^8, z, k)*(root(805306368*a^12*c^2*d^8*e^4*z^4 + 805306368*a^13*c*d^4*e^8*z^4 + 268435456*a^11*c^3*d^12*z^4 + 268435456*a^14*e^12*z^4 + 268435456*a^11*e^11*z^3 + 43057152*a^7*c*d^4*e^6*z^2 + 11599872*a^6*c^2*d^8*e^2*z^2 + 100663296*a^8*e^10*z^2 + 9652224*a^4*c*d^4*e^5*z + 2709504*a^3*c^2*d^8*e*z + 16777216*a^5*e^9*z + 676881*a*c*d^4*e^4 + 194481*c^2*d^8 + 1048576*a^2*e^8, z, k)*((402653184*a^15*c^4*d*e^22 - 134217728*a^10*c^9*d^21*e^2 - 134217728*a^11*c^8*d^17*e^6 + 805306368*a^12*c^7*d^13*e^10 + 1879048192*a^13*c^6*d^9*e^14 + 1476395008*a^14*c^5*d^5*e^18)/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)) + (x*(335544320*a^15*c^4*e^23 - 201326592*a^10*c^9*d^20*e^3 - 469762048*a^11*c^8*d^16*e^7 + 134217728*a^12*c^7*d^12*e^11 + 1207959552*a^13*c^6*d^8*e^15 + 1140850688*a^14*c^5*d^4*e^19))/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8))) + (211288064*a^12*c^4*d*e^21 - 11010048*a^7*c^9*d^21*e + 20447232*a^8*c^8*d^17*e^5 + 204472320*a^9*c^7*d^13*e^9 + 514850816*a^10*c^6*d^9*e^13 + 553123840*a^11*c^5*d^5*e^17)/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)) + (x*(251658240*a^12*c^4*e^22 - 28311552*a^7*c^9*d^20*e^2 - 67108864*a^8*c^8*d^16*e^6 + 18874368*a^9*c^7*d^12*e^10 + 377487360*a^10*c^6*d^8*e^14 + 571473920*a^11*c^5*d^4*e^18))/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8))) + (36962304*a^9*c^4*d*e^20 + 11010048*a^5*c^8*d^17*e^4 + 57999360*a^6*c^7*d^13*e^8 + 138805248*a^7*c^6*d^9*e^12 + 141361152*a^8*c^5*d^5*e^16)/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)) + (x*(62914560*a^9*c^4*e^21 - 1806336*a^4*c^9*d^20*e + 2670592*a^5*c^8*d^16*e^5 + 43032576*a^6*c^7*d^12*e^9 + 143179776*a^7*c^6*d^8*e^13 + 171732992*a^8*c^5*d^4*e^17))/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8))) + (4030464*a^6*c^4*d*e^19 + 576576*a^2*c^8*d^17*e^3 + 5061824*a^3*c^7*d^13*e^7 + 15959232*a^4*c^6*d^9*e^11 + 17863744*a^5*c^5*d^5*e^15)/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)) + (x*(5242880*a^6*c^4*e^20 + 755136*a^2*c^8*d^16*e^4 + 6023488*a^3*c^7*d^12*e^8 + 19579200*a^4*c^6*d^8*e^12 + 22240704*a^5*c^5*d^4*e^16))/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8))) + (x*(194481*c^7*d^12*e^7 + 871362*a*c^6*d^8*e^11 + 970321*a^2*c^5*d^4*e^15))/(1048576*(a^12*e^16 + a^8*c^4*d^16 + 4*a^11*c*d^4*e^12 + 4*a^9*c^3*d^12*e^4 + 6*a^10*c^2*d^8*e^8)))*root(805306368*a^12*c^2*d^8*e^4*z^4 + 805306368*a^13*c*d^4*e^8*z^4 + 268435456*a^11*c^3*d^12*z^4 + 268435456*a^14*e^12*z^4 + 268435456*a^11*e^11*z^3 + 43057152*a^7*c*d^4*e^6*z^2 + 11599872*a^6*c^2*d^8*e^2*z^2 + 100663296*a^8*e^10*z^2 + 9652224*a^4*c*d^4*e^5*z + 2709504*a^3*c^2*d^8*e*z + 16777216*a^5*e^9*z + 676881*a*c*d^4*e^4 + 194481*c^2*d^8 + 1048576*a^2*e^8, z, k), k, 1, 4) + ((3*a*e^7 + c*d^4*e^3)/(8*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (x^5*(7*c^3*d^7 + 15*a*c^2*d^3*e^4))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (x^2*(5*c^2*d^6*e + 9*a*c*d^2*e^5))/(16*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (c*e^7*x^4)/(4*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (x*(11*c^2*d^7 + 19*a*c*d^3*e^4))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (x^6*(3*c^3*d^6*e + 7*a*c^2*d^2*e^5))/(16*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (e^2*x^3*(9*c^2*d^5 + 17*a*c*d*e^4))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (e^2*x^7*(5*c^3*d^5 + 13*a*c^2*d*e^4))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (e^11*log(d + e*x))/(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)","B"
413,1,3572,1830,5.754196,"\text{Not used}","int(1/((a + c*x^4)^3*(d + e*x)^2),x)","\left(\sum _{k=1}^4\ln\left(\frac{4100625\,a^4\,c^5\,d\,e^{22}-3102300\,a^3\,c^6\,d^5\,e^{18}+1926342\,a^2\,c^7\,d^9\,e^{14}+1527012\,a\,c^8\,d^{13}\,e^{10}+194481\,c^9\,d^{17}\,e^6}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}+\mathrm{root}\left(1610612736\,a^{13}\,c^2\,d^8\,e^8\,z^4+1073741824\,a^{12}\,c^3\,d^{12}\,e^4\,z^4+1073741824\,a^{14}\,c\,d^4\,e^{12}\,z^4+268435456\,a^{11}\,c^4\,d^{16}\,z^4+268435456\,a^{15}\,e^{16}\,z^4+3221225472\,a^{11}\,c\,d^3\,e^{11}\,z^3+239468544\,a^7\,c^2\,d^6\,e^6\,z^2+39518208\,a^6\,c^3\,d^{10}\,e^2\,z^2+1153105920\,a^8\,c\,d^2\,e^{10}\,z^2+32071680\,a^4\,c^2\,d^5\,e^5\,z+5419008\,a^3\,c^3\,d^9\,e\,z+124416000\,a^5\,c\,d\,e^9\,z+1138050\,a\,c^2\,d^4\,e^4+4100625\,a^2\,c\,e^8+194481\,c^3\,d^8,z,k\right)\,\left(\mathrm{root}\left(1610612736\,a^{13}\,c^2\,d^8\,e^8\,z^4+1073741824\,a^{12}\,c^3\,d^{12}\,e^4\,z^4+1073741824\,a^{14}\,c\,d^4\,e^{12}\,z^4+268435456\,a^{11}\,c^4\,d^{16}\,z^4+268435456\,a^{15}\,e^{16}\,z^4+3221225472\,a^{11}\,c\,d^3\,e^{11}\,z^3+239468544\,a^7\,c^2\,d^6\,e^6\,z^2+39518208\,a^6\,c^3\,d^{10}\,e^2\,z^2+1153105920\,a^8\,c\,d^2\,e^{10}\,z^2+32071680\,a^4\,c^2\,d^5\,e^5\,z+5419008\,a^3\,c^3\,d^9\,e\,z+124416000\,a^5\,c\,d\,e^9\,z+1138050\,a\,c^2\,d^4\,e^4+4100625\,a^2\,c\,e^8+194481\,c^3\,d^8,z,k\right)\,\left(\mathrm{root}\left(1610612736\,a^{13}\,c^2\,d^8\,e^8\,z^4+1073741824\,a^{12}\,c^3\,d^{12}\,e^4\,z^4+1073741824\,a^{14}\,c\,d^4\,e^{12}\,z^4+268435456\,a^{11}\,c^4\,d^{16}\,z^4+268435456\,a^{15}\,e^{16}\,z^4+3221225472\,a^{11}\,c\,d^3\,e^{11}\,z^3+239468544\,a^7\,c^2\,d^6\,e^6\,z^2+39518208\,a^6\,c^3\,d^{10}\,e^2\,z^2+1153105920\,a^8\,c\,d^2\,e^{10}\,z^2+32071680\,a^4\,c^2\,d^5\,e^5\,z+5419008\,a^3\,c^3\,d^9\,e\,z+124416000\,a^5\,c\,d\,e^9\,z+1138050\,a\,c^2\,d^4\,e^4+4100625\,a^2\,c\,e^8+194481\,c^3\,d^8,z,k\right)\,\left(\frac{23592960\,a^{14}\,c^4\,e^{29}+1967652864\,a^{13}\,c^5\,d^4\,e^{25}+6101139456\,a^{12}\,c^6\,d^8\,e^{21}+6799491072\,a^{11}\,c^7\,d^{12}\,e^{17}+3103260672\,a^{10}\,c^8\,d^{16}\,e^{13}+504889344\,a^9\,c^9\,d^{20}\,e^9+33030144\,a^8\,c^{10}\,d^{24}\,e^5-11010048\,a^7\,c^{11}\,d^{28}\,e}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}+\mathrm{root}\left(1610612736\,a^{13}\,c^2\,d^8\,e^8\,z^4+1073741824\,a^{12}\,c^3\,d^{12}\,e^4\,z^4+1073741824\,a^{14}\,c\,d^4\,e^{12}\,z^4+268435456\,a^{11}\,c^4\,d^{16}\,z^4+268435456\,a^{15}\,e^{16}\,z^4+3221225472\,a^{11}\,c\,d^3\,e^{11}\,z^3+239468544\,a^7\,c^2\,d^6\,e^6\,z^2+39518208\,a^6\,c^3\,d^{10}\,e^2\,z^2+1153105920\,a^8\,c\,d^2\,e^{10}\,z^2+32071680\,a^4\,c^2\,d^5\,e^5\,z+5419008\,a^3\,c^3\,d^9\,e\,z+124416000\,a^5\,c\,d\,e^9\,z+1138050\,a\,c^2\,d^4\,e^4+4100625\,a^2\,c\,e^8+194481\,c^3\,d^8,z,k\right)\,\left(\frac{402653184\,a^{17}\,c^4\,d\,e^{30}+2281701376\,a^{16}\,c^5\,d^5\,e^{26}+5234491392\,a^{15}\,c^6\,d^9\,e^{22}+6039797760\,a^{14}\,c^7\,d^{13}\,e^{18}+3355443200\,a^{13}\,c^8\,d^{17}\,e^{14}+402653184\,a^{12}\,c^9\,d^{21}\,e^{10}-402653184\,a^{11}\,c^{10}\,d^{25}\,e^6-134217728\,a^{10}\,c^{11}\,d^{29}\,e^2}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}+\frac{x\,\left(335544320\,a^{17}\,c^4\,e^{31}+1811939328\,a^{16}\,c^5\,d^4\,e^{27}+3825205248\,a^{15}\,c^6\,d^8\,e^{23}+3690987520\,a^{14}\,c^7\,d^{12}\,e^{19}+1006632960\,a^{13}\,c^8\,d^{16}\,e^{15}-1006632960\,a^{12}\,c^9\,d^{20}\,e^{11}-872415232\,a^{11}\,c^{10}\,d^{24}\,e^7-201326592\,a^{10}\,c^{11}\,d^{28}\,e^3\right)}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}\right)+\frac{x\,\left(2494562304\,a^{13}\,c^5\,d^3\,e^{26}+7556038656\,a^{12}\,c^6\,d^7\,e^{22}+7659847680\,a^{11}\,c^7\,d^{11}\,e^{18}+2554331136\,a^{10}\,c^8\,d^{15}\,e^{14}-154140672\,a^9\,c^9\,d^{19}\,e^{10}-144703488\,a^8\,c^{10}\,d^{23}\,e^6-34603008\,a^7\,c^{11}\,d^{27}\,e^2\right)}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}\right)+\frac{906854400\,a^{10}\,c^5\,d^3\,e^{24}-446201856\,a^9\,c^6\,d^7\,e^{20}+1018626048\,a^8\,c^7\,d^{11}\,e^{16}+674168832\,a^7\,c^8\,d^{15}\,e^{12}+127107072\,a^6\,c^9\,d^{19}\,e^8+12681216\,a^5\,c^{10}\,d^{23}\,e^4}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}+\frac{x\,\left(1183887360\,a^{10}\,c^5\,d^2\,e^{25}+1732829184\,a^9\,c^6\,d^6\,e^{21}+1960906752\,a^8\,c^7\,d^{10}\,e^{17}+896090112\,a^7\,c^8\,d^{14}\,e^{13}+90427392\,a^6\,c^9\,d^{18}\,e^9+516096\,a^5\,c^{10}\,d^{22}\,e^5-1806336\,a^4\,c^{11}\,d^{26}\,e\right)}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}\right)+\frac{125452800\,a^7\,c^5\,d^2\,e^{23}-156930048\,a^6\,c^6\,d^6\,e^{19}+49572864\,a^5\,c^7\,d^{10}\,e^{15}+49379328\,a^4\,c^8\,d^{14}\,e^{11}+8004096\,a^3\,c^9\,d^{18}\,e^7+387072\,a^2\,c^{10}\,d^{22}\,e^3}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}+\frac{x\,\left(126360000\,a^7\,c^5\,d\,e^{24}-80136000\,a^6\,c^6\,d^5\,e^{20}+114991488\,a^5\,c^7\,d^9\,e^{16}+75731328\,a^4\,c^8\,d^{13}\,e^{12}+9609408\,a^3\,c^9\,d^{17}\,e^8+561600\,a^2\,c^{10}\,d^{21}\,e^4\right)}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}\right)+\frac{x\,\left(4100625\,a^4\,c^5\,e^{23}-13988700\,a^3\,c^6\,d^4\,e^{19}-167994\,a^2\,c^7\,d^8\,e^{15}+1527012\,a\,c^8\,d^{12}\,e^{11}+194481\,c^9\,d^{16}\,e^7\right)}{1048576\,\left(a^{14}\,e^{24}+6\,a^{13}\,c\,d^4\,e^{20}+15\,a^{12}\,c^2\,d^8\,e^{16}+20\,a^{11}\,c^3\,d^{12}\,e^{12}+15\,a^{10}\,c^4\,d^{16}\,e^8+6\,a^9\,c^5\,d^{20}\,e^4+a^8\,c^6\,d^{24}\right)}\right)\,\mathrm{root}\left(1610612736\,a^{13}\,c^2\,d^8\,e^8\,z^4+1073741824\,a^{12}\,c^3\,d^{12}\,e^4\,z^4+1073741824\,a^{14}\,c\,d^4\,e^{12}\,z^4+268435456\,a^{11}\,c^4\,d^{16}\,z^4+268435456\,a^{15}\,e^{16}\,z^4+3221225472\,a^{11}\,c\,d^3\,e^{11}\,z^3+239468544\,a^7\,c^2\,d^6\,e^6\,z^2+39518208\,a^6\,c^3\,d^{10}\,e^2\,z^2+1153105920\,a^8\,c\,d^2\,e^{10}\,z^2+32071680\,a^4\,c^2\,d^5\,e^5\,z+5419008\,a^3\,c^3\,d^9\,e\,z+124416000\,a^5\,c\,d\,e^9\,z+1138050\,a\,c^2\,d^4\,e^4+4100625\,a^2\,c\,e^8+194481\,c^3\,d^8,z,k\right)\right)+\frac{\frac{-2\,a^2\,e^{11}+5\,a\,c\,d^4\,e^7+c^2\,d^8\,e^3}{2\,\left(c\,d^4+a\,e^4\right)\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{3\,x^8\,\left(-15\,a^2\,c^2\,e^{11}+22\,a\,c^3\,d^4\,e^7+5\,c^4\,d^8\,e^3\right)}{32\,a^2\,\left(a^3\,e^{12}+3\,a^2\,c\,d^4\,e^8+3\,a\,c^2\,d^8\,e^4+c^3\,d^{12}\right)}+\frac{x^5\,\left(7\,c^3\,d^7+19\,a\,c^2\,d^3\,e^4\right)}{32\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{3\,x^2\,\left(3\,c^2\,d^6\,e+7\,a\,c\,d^2\,e^5\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{x^3\,\left(7\,c^2\,d^5\,e^2+19\,a\,c\,d\,e^6\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{x\,\left(11\,c^2\,d^7+23\,a\,c\,d^3\,e^4\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{x^6\,\left(5\,c^3\,d^6\,e+17\,a\,c^2\,d^2\,e^5\right)}{32\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{3\,e^2\,x^7\,\left(c^3\,d^5+5\,a\,c^2\,d\,e^4\right)}{32\,a^2\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}+\frac{3\,e^2\,x^4\,\left(-27\,a^2\,c\,e^9+46\,a\,c^2\,d^4\,e^5+9\,c^3\,d^8\,e\right)}{32\,a\,\left(c\,d^4+a\,e^4\right)\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}}{e\,a^2\,x+d\,a^2+2\,e\,a\,c\,x^5+2\,d\,a\,c\,x^4+e\,c^2\,x^9+d\,c^2\,x^8}+\frac{12\,c\,d^3\,e^{11}\,\ln\left(d+e\,x\right)}{a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}}","Not used",1,"symsum(log((194481*c^9*d^17*e^6 + 1527012*a*c^8*d^13*e^10 + 4100625*a^4*c^5*d*e^22 + 1926342*a^2*c^7*d^9*e^14 - 3102300*a^3*c^6*d^5*e^18)/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)) + root(1610612736*a^13*c^2*d^8*e^8*z^4 + 1073741824*a^12*c^3*d^12*e^4*z^4 + 1073741824*a^14*c*d^4*e^12*z^4 + 268435456*a^11*c^4*d^16*z^4 + 268435456*a^15*e^16*z^4 + 3221225472*a^11*c*d^3*e^11*z^3 + 239468544*a^7*c^2*d^6*e^6*z^2 + 39518208*a^6*c^3*d^10*e^2*z^2 + 1153105920*a^8*c*d^2*e^10*z^2 + 32071680*a^4*c^2*d^5*e^5*z + 5419008*a^3*c^3*d^9*e*z + 124416000*a^5*c*d*e^9*z + 1138050*a*c^2*d^4*e^4 + 4100625*a^2*c*e^8 + 194481*c^3*d^8, z, k)*(root(1610612736*a^13*c^2*d^8*e^8*z^4 + 1073741824*a^12*c^3*d^12*e^4*z^4 + 1073741824*a^14*c*d^4*e^12*z^4 + 268435456*a^11*c^4*d^16*z^4 + 268435456*a^15*e^16*z^4 + 3221225472*a^11*c*d^3*e^11*z^3 + 239468544*a^7*c^2*d^6*e^6*z^2 + 39518208*a^6*c^3*d^10*e^2*z^2 + 1153105920*a^8*c*d^2*e^10*z^2 + 32071680*a^4*c^2*d^5*e^5*z + 5419008*a^3*c^3*d^9*e*z + 124416000*a^5*c*d*e^9*z + 1138050*a*c^2*d^4*e^4 + 4100625*a^2*c*e^8 + 194481*c^3*d^8, z, k)*(root(1610612736*a^13*c^2*d^8*e^8*z^4 + 1073741824*a^12*c^3*d^12*e^4*z^4 + 1073741824*a^14*c*d^4*e^12*z^4 + 268435456*a^11*c^4*d^16*z^4 + 268435456*a^15*e^16*z^4 + 3221225472*a^11*c*d^3*e^11*z^3 + 239468544*a^7*c^2*d^6*e^6*z^2 + 39518208*a^6*c^3*d^10*e^2*z^2 + 1153105920*a^8*c*d^2*e^10*z^2 + 32071680*a^4*c^2*d^5*e^5*z + 5419008*a^3*c^3*d^9*e*z + 124416000*a^5*c*d*e^9*z + 1138050*a*c^2*d^4*e^4 + 4100625*a^2*c*e^8 + 194481*c^3*d^8, z, k)*((23592960*a^14*c^4*e^29 - 11010048*a^7*c^11*d^28*e + 33030144*a^8*c^10*d^24*e^5 + 504889344*a^9*c^9*d^20*e^9 + 3103260672*a^10*c^8*d^16*e^13 + 6799491072*a^11*c^7*d^12*e^17 + 6101139456*a^12*c^6*d^8*e^21 + 1967652864*a^13*c^5*d^4*e^25)/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)) + root(1610612736*a^13*c^2*d^8*e^8*z^4 + 1073741824*a^12*c^3*d^12*e^4*z^4 + 1073741824*a^14*c*d^4*e^12*z^4 + 268435456*a^11*c^4*d^16*z^4 + 268435456*a^15*e^16*z^4 + 3221225472*a^11*c*d^3*e^11*z^3 + 239468544*a^7*c^2*d^6*e^6*z^2 + 39518208*a^6*c^3*d^10*e^2*z^2 + 1153105920*a^8*c*d^2*e^10*z^2 + 32071680*a^4*c^2*d^5*e^5*z + 5419008*a^3*c^3*d^9*e*z + 124416000*a^5*c*d*e^9*z + 1138050*a*c^2*d^4*e^4 + 4100625*a^2*c*e^8 + 194481*c^3*d^8, z, k)*((402653184*a^17*c^4*d*e^30 - 134217728*a^10*c^11*d^29*e^2 - 402653184*a^11*c^10*d^25*e^6 + 402653184*a^12*c^9*d^21*e^10 + 3355443200*a^13*c^8*d^17*e^14 + 6039797760*a^14*c^7*d^13*e^18 + 5234491392*a^15*c^6*d^9*e^22 + 2281701376*a^16*c^5*d^5*e^26)/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)) + (x*(335544320*a^17*c^4*e^31 - 201326592*a^10*c^11*d^28*e^3 - 872415232*a^11*c^10*d^24*e^7 - 1006632960*a^12*c^9*d^20*e^11 + 1006632960*a^13*c^8*d^16*e^15 + 3690987520*a^14*c^7*d^12*e^19 + 3825205248*a^15*c^6*d^8*e^23 + 1811939328*a^16*c^5*d^4*e^27))/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16))) + (x*(2554331136*a^10*c^8*d^15*e^14 - 144703488*a^8*c^10*d^23*e^6 - 154140672*a^9*c^9*d^19*e^10 - 34603008*a^7*c^11*d^27*e^2 + 7659847680*a^11*c^7*d^11*e^18 + 7556038656*a^12*c^6*d^7*e^22 + 2494562304*a^13*c^5*d^3*e^26))/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16))) + (12681216*a^5*c^10*d^23*e^4 + 127107072*a^6*c^9*d^19*e^8 + 674168832*a^7*c^8*d^15*e^12 + 1018626048*a^8*c^7*d^11*e^16 - 446201856*a^9*c^6*d^7*e^20 + 906854400*a^10*c^5*d^3*e^24)/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)) + (x*(516096*a^5*c^10*d^22*e^5 - 1806336*a^4*c^11*d^26*e + 90427392*a^6*c^9*d^18*e^9 + 896090112*a^7*c^8*d^14*e^13 + 1960906752*a^8*c^7*d^10*e^17 + 1732829184*a^9*c^6*d^6*e^21 + 1183887360*a^10*c^5*d^2*e^25))/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16))) + (387072*a^2*c^10*d^22*e^3 + 8004096*a^3*c^9*d^18*e^7 + 49379328*a^4*c^8*d^14*e^11 + 49572864*a^5*c^7*d^10*e^15 - 156930048*a^6*c^6*d^6*e^19 + 125452800*a^7*c^5*d^2*e^23)/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)) + (x*(126360000*a^7*c^5*d*e^24 + 561600*a^2*c^10*d^21*e^4 + 9609408*a^3*c^9*d^17*e^8 + 75731328*a^4*c^8*d^13*e^12 + 114991488*a^5*c^7*d^9*e^16 - 80136000*a^6*c^6*d^5*e^20))/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16))) + (x*(4100625*a^4*c^5*e^23 + 194481*c^9*d^16*e^7 + 1527012*a*c^8*d^12*e^11 - 167994*a^2*c^7*d^8*e^15 - 13988700*a^3*c^6*d^4*e^19))/(1048576*(a^14*e^24 + a^8*c^6*d^24 + 6*a^13*c*d^4*e^20 + 6*a^9*c^5*d^20*e^4 + 15*a^10*c^4*d^16*e^8 + 20*a^11*c^3*d^12*e^12 + 15*a^12*c^2*d^8*e^16)))*root(1610612736*a^13*c^2*d^8*e^8*z^4 + 1073741824*a^12*c^3*d^12*e^4*z^4 + 1073741824*a^14*c*d^4*e^12*z^4 + 268435456*a^11*c^4*d^16*z^4 + 268435456*a^15*e^16*z^4 + 3221225472*a^11*c*d^3*e^11*z^3 + 239468544*a^7*c^2*d^6*e^6*z^2 + 39518208*a^6*c^3*d^10*e^2*z^2 + 1153105920*a^8*c*d^2*e^10*z^2 + 32071680*a^4*c^2*d^5*e^5*z + 5419008*a^3*c^3*d^9*e*z + 124416000*a^5*c*d*e^9*z + 1138050*a*c^2*d^4*e^4 + 4100625*a^2*c*e^8 + 194481*c^3*d^8, z, k), k, 1, 4) + ((c^2*d^8*e^3 - 2*a^2*e^11 + 5*a*c*d^4*e^7)/(2*(a*e^4 + c*d^4)*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (3*x^8*(5*c^4*d^8*e^3 - 15*a^2*c^2*e^11 + 22*a*c^3*d^4*e^7))/(32*a^2*(a^3*e^12 + c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8)) + (x^5*(7*c^3*d^7 + 19*a*c^2*d^3*e^4))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (3*x^2*(3*c^2*d^6*e + 7*a*c*d^2*e^5))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (x^3*(7*c^2*d^5*e^2 + 19*a*c*d*e^6))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (x*(11*c^2*d^7 + 23*a*c*d^3*e^4))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (x^6*(5*c^3*d^6*e + 17*a*c^2*d^2*e^5))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (3*e^2*x^7*(c^3*d^5 + 5*a*c^2*d*e^4))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (3*e^2*x^4*(9*c^3*d^8*e - 27*a^2*c*e^9 + 46*a*c^2*d^4*e^5))/(32*a*(a*e^4 + c*d^4)*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)))/(a^2*d + c^2*d*x^8 + c^2*e*x^9 + a^2*e*x + 2*a*c*d*x^4 + 2*a*c*e*x^5) + (12*c*d^3*e^11*log(d + e*x))/(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)","B"
414,1,6280,2204,7.784508,"\text{Not used}","int(1/((a + c*x^4)^3*(d + e*x)^3),x)","\left(\sum 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5}\,c\,d^4\,e^{28}+28\,a^{14}\,c^2\,d^8\,e^{24}+56\,a^{13}\,c^3\,d^{12}\,e^{20}+70\,a^{12}\,c^4\,d^{16}\,e^{16}+56\,a^{11}\,c^5\,d^{20}\,e^{12}+28\,a^{10}\,c^6\,d^{24}\,e^8+8\,a^9\,c^7\,d^{28}\,e^4+a^8\,c^8\,d^{32}\right)}\right)+\frac{-933615072\,a^8\,c^6\,d^3\,e^{27}+9699804864\,a^7\,c^7\,d^7\,e^{23}-3499271712\,a^6\,c^8\,d^{11}\,e^{19}-213750144\,a^5\,c^9\,d^{15}\,e^{15}+114031584\,a^4\,c^{10}\,d^{19}\,e^{11}+11448000\,a^3\,c^{11}\,d^{23}\,e^7+320544\,a^2\,c^{12}\,d^{27}\,e^3}{1048576\,\left(a^{16}\,e^{32}+8\,a^{15}\,c\,d^4\,e^{28}+28\,a^{14}\,c^2\,d^8\,e^{24}+56\,a^{13}\,c^3\,d^{12}\,e^{20}+70\,a^{12}\,c^4\,d^{16}\,e^{16}+56\,a^{11}\,c^5\,d^{20}\,e^{12}+28\,a^{10}\,c^6\,d^{24}\,e^8+8\,a^9\,c^7\,d^{28}\,e^4+a^8\,c^8\,d^{32}\right)}+\frac{x\,\left(846599040\,a^8\,c^6\,d^2\,e^{28}+1782459648\,a^7\,c^7\,d^6\,e^{24}-2642613120\,a^6\,c^8\,d^{10}\,e^{20}+297948672\,a^5\,c^9\,d^{14}\,e^{16}+266343552\,a^4\,c^{10}\,d^{18}\,e^{12}+14314752\,a^3\,c^{11}\,d^{22}\,e^8+514944\,a^2\,c^{12}\,d^{26}\,e^4\right)}{1048576\,\left(a^{16}\,e^{32}+8\,a^{15}\,c\,d^4\,e^{28}+28\,a^{14}\,c^2\,d^8\,e^{24}+56\,a^{13}\,c^3\,d^{12}\,e^{20}+70\,a^{12}\,c^4\,d^{16}\,e^{16}+56\,a^{11}\,c^5\,d^{20}\,e^{12}+28\,a^{10}\,c^6\,d^{24}\,e^8+8\,a^9\,c^7\,d^{28}\,e^4+a^8\,c^8\,d^{32}\right)}\right)+\frac{12960000\,a^5\,c^6\,d\,e^{26}+71628705\,a^4\,c^7\,d^5\,e^{22}-83522988\,a^3\,c^8\,d^9\,e^{18}-5918346\,a^2\,c^9\,d^{13}\,e^{14}+2430324\,a\,c^{10}\,d^{17}\,e^{10}+194481\,c^{11}\,d^{21}\,e^6}{1048576\,\left(a^{16}\,e^{32}+8\,a^{15}\,c\,d^4\,e^{28}+28\,a^{14}\,c^2\,d^8\,e^{24}+56\,a^{13}\,c^3\,d^{12}\,e^{20}+70\,a^{12}\,c^4\,d^{16}\,e^{16}+56\,a^{11}\,c^5\,d^{20}\,e^{12}+28\,a^{10}\,c^6\,d^{24}\,e^8+8\,a^9\,c^7\,d^{28}\,e^4+a^8\,c^8\,d^{32}\right)}+\frac{x\,\left(12960000\,a^5\,c^6\,e^{27}+105734241\,a^4\,c^7\,d^4\,e^{23}-227814444\,a^3\,c^8\,d^8\,e^{19}-21081546\,a^2\,c^9\,d^{12}\,e^{15}+2430324\,a\,c^{10}\,d^{16}\,e^{11}+194481\,c^{11}\,d^{20}\,e^7\right)}{1048576\,\left(a^{16}\,e^{32}+8\,a^{15}\,c\,d^4\,e^{28}+28\,a^{14}\,c^2\,d^8\,e^{24}+56\,a^{13}\,c^3\,d^{12}\,e^{20}+70\,a^{12}\,c^4\,d^{16}\,e^{16}+56\,a^{11}\,c^5\,d^{20}\,e^{12}+28\,a^{10}\,c^6\,d^{24}\,e^8+8\,a^9\,c^7\,d^{28}\,e^4+a^8\,c^8\,d^{32}\right)}\right)\,\mathrm{root}\left(2684354560\,a^{12}\,c^9\,d^{36}\,e^4\,z^5+32212254720\,a^{18}\,c^3\,d^{12}\,e^{28}\,z^5+32212254720\,a^{14}\,c^7\,d^{28}\,e^{12}\,z^5+2684354560\,a^{20}\,c\,d^4\,e^{36}\,z^5+56371445760\,a^{17}\,c^4\,d^{16}\,e^{24}\,z^5+56371445760\,a^{15}\,c^6\,d^{24}\,e^{16}\,z^5+12079595520\,a^{19}\,c^2\,d^8\,e^{32}\,z^5+12079595520\,a^{13}\,c^8\,d^{32}\,e^8\,z^5+67645734912\,a^{16}\,c^5\,d^{20}\,e^{20}\,z^5+268435456\,a^{11}\,c^{10}\,d^{40}\,z^5+268435456\,a^{21}\,e^{40}\,z^5+45339770880\,a^9\,c^6\,d^{20}\,e^{14}\,z^3-79148482560\,a^{13}\,c^2\,d^4\,e^{30}\,z^3+791941349376\,a^{12}\,c^3\,d^8\,e^{26}\,z^3+1239810048\,a^7\,c^8\,d^{28}\,e^6\,z^3-1555444924416\,a^{11}\,c^4\,d^{12}\,e^{22}\,z^3+83755008\,a^6\,c^9\,d^{32}\,e^2\,z^3+81566760960\,a^{10}\,c^5\,d^{16}\,e^{18}\,z^3+12177506304\,a^8\,c^7\,d^{24}\,e^{10}\,z^3+117964800\,a^{14}\,c\,e^{34}\,z^3-2785204224\,a^6\,c^6\,d^{18}\,e^{13}\,z^2+8128512\,a^3\,c^9\,d^{30}\,e\,z^2+2700933120\,a^{10}\,c^2\,d^2\,e^{29}\,z^2-543361222656\,a^8\,c^4\,d^{10}\,e^{21}\,z^2+1048135680\,a^5\,c^7\,d^{22}\,e^9\,z^2+118499328\,a^4\,c^8\,d^{26}\,e^5\,z^2-55938263040\,a^7\,c^5\,d^{14}\,e^{17}\,z^2+123990497280\,a^9\,c^3\,d^6\,e^{25}\,z^2+24139215\,a^2\,c^7\,d^{20}\,e^8\,z+2819286\,a\,c^8\,d^{24}\,e^4\,z+10462847841\,a^6\,c^3\,d^4\,e^{24}\,z-5777473473\,a^4\,c^5\,d^{12}\,e^{16}\,z-43509753450\,a^5\,c^4\,d^8\,e^{20}\,z-548810316\,a^3\,c^6\,d^{16}\,e^{12}\,z+12960000\,a^7\,c^2\,e^{28}\,z+194481\,c^9\,d^{28}\,z-977636142\,a^2\,c^4\,d^6\,e^{19}+233280000\,a^3\,c^3\,d^2\,e^{23}-140556060\,a\,c^5\,d^{10}\,e^{15}-15169518\,c^6\,d^{14}\,e^{11},z,k\right)\right)-\frac{\frac{2\,a^3\,e^{15}+65\,a^2\,c\,d^4\,e^{11}-38\,a\,c^2\,d^8\,e^7-5\,c^3\,d^{12}\,e^3}{4\,{\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}^2}+\frac{3\,x^8\,\left(5\,a^3\,c^2\,e^{15}+91\,a^2\,c^3\,d^4\,e^{11}-49\,a\,c^4\,d^8\,e^7-7\,c^5\,d^{12}\,e^3\right)}{16\,a^2\,\left(a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}\right)}-\frac{x^5\,\left(-1165\,a^3\,c^2\,d^3\,e^{12}+461\,a^2\,c^3\,d^7\,e^8+97\,a\,c^4\,d^{11}\,e^4+7\,c^5\,d^{15}\right)}{32\,a^2\,{\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}^2}-\frac{3\,x^9\,\left(-99\,a^2\,c^3\,d^3\,e^{12}+34\,a\,c^4\,d^7\,e^8+5\,c^5\,d^{11}\,e^4\right)}{16\,a^2\,\left(a^4\,e^{16}+4\,a^3\,c\,d^4\,e^{12}+6\,a^2\,c^2\,d^8\,e^8+4\,a\,c^3\,d^{12}\,e^4+c^4\,d^{16}\right)}+\frac{x^2\,\left(c^2\,d^6\,e+3\,a\,c\,d^2\,e^5\right)}{4\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{x^3\,\left(5\,c^2\,d^5\,e^2+21\,a\,c\,d\,e^6\right)}{32\,a\,\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}-\frac{x\,\left(-567\,a^3\,c\,d^3\,e^{12}+269\,a^2\,c^2\,d^7\,e^8+79\,a\,c^3\,d^{11}\,e^4+11\,c^4\,d^{15}\right)}{32\,a\,{\left(a^2\,e^8+2\,a\,c\,d^4\,e^4+c^2\,d^8\right)}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a^8*c^8*d^32 + 8*a^15*c*d^4*e^28 + 8*a^9*c^7*d^28*e^4 + 28*a^10*c^6*d^24*e^8 + 56*a^11*c^5*d^20*e^12 + 70*a^12*c^4*d^16*e^16 + 56*a^13*c^3*d^12*e^20 + 28*a^14*c^2*d^8*e^24))) + (194481*c^11*d^21*e^6 + 2430324*a*c^10*d^17*e^10 + 12960000*a^5*c^6*d*e^26 - 5918346*a^2*c^9*d^13*e^14 - 83522988*a^3*c^8*d^9*e^18 + 71628705*a^4*c^7*d^5*e^22)/(1048576*(a^16*e^32 + a^8*c^8*d^32 + 8*a^15*c*d^4*e^28 + 8*a^9*c^7*d^28*e^4 + 28*a^10*c^6*d^24*e^8 + 56*a^11*c^5*d^20*e^12 + 70*a^12*c^4*d^16*e^16 + 56*a^13*c^3*d^12*e^20 + 28*a^14*c^2*d^8*e^24)) + (x*(12960000*a^5*c^6*e^27 + 194481*c^11*d^20*e^7 + 2430324*a*c^10*d^16*e^11 - 21081546*a^2*c^9*d^12*e^15 - 227814444*a^3*c^8*d^8*e^19 + 105734241*a^4*c^7*d^4*e^23))/(1048576*(a^16*e^32 + a^8*c^8*d^32 + 8*a^15*c*d^4*e^28 + 8*a^9*c^7*d^28*e^4 + 28*a^10*c^6*d^24*e^8 + 56*a^11*c^5*d^20*e^12 + 70*a^12*c^4*d^16*e^16 + 56*a^13*c^3*d^12*e^20 + 28*a^14*c^2*d^8*e^24)))*root(2684354560*a^12*c^9*d^36*e^4*z^5 + 32212254720*a^18*c^3*d^12*e^28*z^5 + 32212254720*a^14*c^7*d^28*e^12*z^5 + 2684354560*a^20*c*d^4*e^36*z^5 + 56371445760*a^17*c^4*d^16*e^24*z^5 + 56371445760*a^15*c^6*d^24*e^16*z^5 + 12079595520*a^19*c^2*d^8*e^32*z^5 + 12079595520*a^13*c^8*d^32*e^8*z^5 + 67645734912*a^16*c^5*d^20*e^20*z^5 + 268435456*a^11*c^10*d^40*z^5 + 268435456*a^21*e^40*z^5 + 45339770880*a^9*c^6*d^20*e^14*z^3 - 79148482560*a^13*c^2*d^4*e^30*z^3 + 791941349376*a^12*c^3*d^8*e^26*z^3 + 1239810048*a^7*c^8*d^28*e^6*z^3 - 1555444924416*a^11*c^4*d^12*e^22*z^3 + 83755008*a^6*c^9*d^32*e^2*z^3 + 81566760960*a^10*c^5*d^16*e^18*z^3 + 12177506304*a^8*c^7*d^24*e^10*z^3 + 117964800*a^14*c*e^34*z^3 - 2785204224*a^6*c^6*d^18*e^13*z^2 + 8128512*a^3*c^9*d^30*e*z^2 + 2700933120*a^10*c^2*d^2*e^29*z^2 - 543361222656*a^8*c^4*d^10*e^21*z^2 + 1048135680*a^5*c^7*d^22*e^9*z^2 + 118499328*a^4*c^8*d^26*e^5*z^2 - 55938263040*a^7*c^5*d^14*e^17*z^2 + 123990497280*a^9*c^3*d^6*e^25*z^2 + 24139215*a^2*c^7*d^20*e^8*z + 2819286*a*c^8*d^24*e^4*z + 10462847841*a^6*c^3*d^4*e^24*z - 5777473473*a^4*c^5*d^12*e^16*z - 43509753450*a^5*c^4*d^8*e^20*z - 548810316*a^3*c^6*d^16*e^12*z + 12960000*a^7*c^2*e^28*z + 194481*c^9*d^28*z - 977636142*a^2*c^4*d^6*e^19 + 233280000*a^3*c^3*d^2*e^23 - 140556060*a*c^5*d^10*e^15 - 15169518*c^6*d^14*e^11, z, k), k, 1, 5) - ((2*a^3*e^15 - 5*c^3*d^12*e^3 - 38*a*c^2*d^8*e^7 + 65*a^2*c*d^4*e^11)/(4*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)^2) + (3*x^8*(5*a^3*c^2*e^15 - 7*c^5*d^12*e^3 - 49*a*c^4*d^8*e^7 + 91*a^2*c^3*d^4*e^11))/(16*a^2*(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) - (x^5*(7*c^5*d^15 + 97*a*c^4*d^11*e^4 + 461*a^2*c^3*d^7*e^8 - 1165*a^3*c^2*d^3*e^12))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)^2) - (3*x^9*(5*c^5*d^11*e^4 + 34*a*c^4*d^7*e^8 - 99*a^2*c^3*d^3*e^12))/(16*a^2*(a^4*e^16 + c^4*d^16 + 4*a*c^3*d^12*e^4 + 4*a^3*c*d^4*e^12 + 6*a^2*c^2*d^8*e^8)) + (x^2*(c^2*d^6*e + 3*a*c*d^2*e^5))/(4*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (x^3*(5*c^2*d^5*e^2 + 21*a*c*d*e^6))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) - (x*(11*c^4*d^15 + 79*a*c^3*d^11*e^4 - 567*a^3*c*d^3*e^12 + 269*a^2*c^2*d^7*e^8))/(32*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)^2) + (x^6*(c^3*d^6*e + 5*a*c^2*d^2*e^5))/(8*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)) + (x^4*(25*a^3*c*e^15 - 39*c^4*d^12*e^3 - 293*a*c^3*d^8*e^7 + 539*a^2*c^2*d^4*e^11))/(16*a*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)^2) - (e^2*x^7*(c^3*d^5 + 17*a*c^2*d*e^4))/(32*a^2*(a^2*e^8 + c^2*d^8 + 2*a*c*d^4*e^4)))/(a^2*d^2 + a^2*e^2*x^2 + c^2*d^2*x^8 + c^2*e^2*x^10 + 2*a^2*d*e*x + 2*a*c*d^2*x^4 + 2*a*c*e^2*x^6 + 2*c^2*d*e*x^9 + 4*a*c*d*e*x^5)","B"
415,1,30,32,0.041465,"\text{Not used}","int((x - 1)/(x^2 - x + 1),x)","\frac{\ln\left(x^2-x+1\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"log(x^2 - x + 1)/2 - (3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/3","B"
416,1,30,32,0.034538,"\text{Not used}","int((x^2 - 1)/(x^3 + 1),x)","\frac{\ln\left(x^2-x+1\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"log(x^2 - x + 1)/2 - (3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/3","B"
417,1,30,32,0.043214,"\text{Not used}","int((3*x - 4)/(x^2 - 2*x + 4),x)","\frac{3\,\ln\left(x^2-2\,x+4\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"(3*log(x^2 - 2*x + 4))/2 - (3^(1/2)*atan((3^(1/2)*x)/3 - 3^(1/2)/3))/3","B"
418,1,30,32,0.032307,"\text{Not used}","int((2*x + 3*x^2 - 8)/(x^3 + 8),x)","\frac{3\,\ln\left(x^2-2\,x+4\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"(3*log(x^2 - 2*x + 4))/2 - (3^(1/2)*atan((3^(1/2)*x)/3 - 3^(1/2)/3))/3","B"
419,1,34,45,2.318833,"\text{Not used}","int((x + 2)/(2*x + x^2 - 1),x)","\ln\left(x-\sqrt{2}+1\right)\,\left(\frac{\sqrt{2}}{4}+\frac{1}{2}\right)-\ln\left(x+\sqrt{2}+1\right)\,\left(\frac{\sqrt{2}}{4}-\frac{1}{2}\right)","Not used",1,"log(x - 2^(1/2) + 1)*(2^(1/2)/4 + 1/2) - log(x + 2^(1/2) + 1)*(2^(1/2)/4 - 1/2)","B"
420,1,34,45,0.046749,"\text{Not used}","int((x^2 - 4)/(x^3 - 5*x + 2),x)","\ln\left(x-\sqrt{2}+1\right)\,\left(\frac{\sqrt{2}}{4}+\frac{1}{2}\right)-\ln\left(x+\sqrt{2}+1\right)\,\left(\frac{\sqrt{2}}{4}-\frac{1}{2}\right)","Not used",1,"log(x - 2^(1/2) + 1)*(2^(1/2)/4 + 1/2) - log(x + 2^(1/2) + 1)*(2^(1/2)/4 - 1/2)","B"
421,1,6,6,2.269541,"\text{Not used}","int(2/(4*x^2 - 1),x)","-\mathrm{atanh}\left(2\,x\right)","Not used",1,"-atanh(2*x)","B"
422,1,6,21,0.145507,"\text{Not used}","int(1/(2*x - 1) - 1/(2*x + 1),x)","-\mathrm{atanh}\left(2\,x\right)","Not used",1,"-atanh(2*x)","B"
423,1,9,13,2.318619,"\text{Not used}","int(-x/(x^2 - 1)^5,x)","\frac{1}{8\,{\left(x^2-1\right)}^4}","Not used",1,"1/(8*(x^2 - 1)^4)","B"
424,1,9,13,0.025348,"\text{Not used}","int(5/(256*(x - 1)^2) - 5/(256*(x + 1)^2) - 5/(128*(x - 1)^3) - 5/(128*(x + 1)^3) + 3/(64*(x - 1)^4) - 3/(64*(x + 1)^4) - 1/(32*(x - 1)^5) - 1/(32*(x + 1)^5),x)","\frac{1}{8\,{\left(x^2-1\right)}^4}","Not used",1,"1/(8*(x^2 - 1)^4)","B"
425,1,94,69,0.102057,"\text{Not used}","int((x^6 + 1)/(x^6 - 1),x)","x+\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3}-\mathrm{atan}\left(\frac{x\,32{}\mathrm{i}}{-32+\sqrt{3}\,32{}\mathrm{i}}-\frac{32\,\sqrt{3}\,x}{-32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}-\frac{1}{3}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,32{}\mathrm{i}}{32+\sqrt{3}\,32{}\mathrm{i}}+\frac{32\,\sqrt{3}\,x}{32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}+\frac{1}{3}{}\mathrm{i}\right)","Not used",1,"x + (atan(x*1i)*2i)/3 - atan((x*32i)/(3^(1/2)*32i - 32) - (32*3^(1/2)*x)/(3^(1/2)*32i - 32))*(3^(1/2)/3 - 1i/3) - atan((x*32i)/(3^(1/2)*32i + 32) + (32*3^(1/2)*x)/(3^(1/2)*32i + 32))*(3^(1/2)/3 + 1i/3)","B"
426,1,94,69,0.038718,"\text{Not used}","int(-(1/x^3 + x^3)/(1/x^3 - x^3),x)","x+\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3}-\mathrm{atan}\left(\frac{x\,32{}\mathrm{i}}{-32+\sqrt{3}\,32{}\mathrm{i}}-\frac{32\,\sqrt{3}\,x}{-32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}-\frac{1}{3}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,32{}\mathrm{i}}{32+\sqrt{3}\,32{}\mathrm{i}}+\frac{32\,\sqrt{3}\,x}{32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}+\frac{1}{3}{}\mathrm{i}\right)","Not used",1,"x + (atan(x*1i)*2i)/3 - atan((x*32i)/(3^(1/2)*32i - 32) - (32*3^(1/2)*x)/(3^(1/2)*32i - 32))*(3^(1/2)/3 - 1i/3) - atan((x*32i)/(3^(1/2)*32i + 32) + (32*3^(1/2)*x)/(3^(1/2)*32i + 32))*(3^(1/2)/3 + 1i/3)","B"
427,1,20,24,0.036506,"\text{Not used}","int(-(x - x^3)/(2*x + 6),x)","4\,x-12\,\ln\left(x+3\right)-\frac{3\,x^2}{4}+\frac{x^3}{6}","Not used",1,"4*x - 12*log(x + 3) - (3*x^2)/4 + x^3/6","B"
428,1,20,26,0.032828,"\text{Not used}","int((x + x^3)/(x - 1),x)","2\,x+2\,\ln\left(x-1\right)+\frac{x^2}{2}+\frac{x^3}{3}","Not used",1,"2*x + 2*log(x - 1) + x^2/2 + x^3/3","B"
429,1,17,17,0.023509,"\text{Not used}","int(a*c + x*(d + b*c),x)","\left(\frac{d}{2}+\frac{b\,c}{2}\right)\,x^2+a\,c\,x","Not used",1,"x^2*(d/2 + (b*c)/2) + a*c*x","B"
430,1,17,24,0.020833,"\text{Not used}","int(d*x + c*(a + b*x),x)","\left(\frac{d}{2}+\frac{b\,c}{2}\right)\,x^2+a\,c\,x","Not used",1,"x^2*(d/2 + (b*c)/2) + a*c*x","B"
431,1,28,22,0.044854,"\text{Not used}","int((4*x + 4)/(x^2*(x^2 + 1)),x)","4\,\ln\left(x\right)-\frac{4}{x}+\ln\left(x-\mathrm{i}\right)\,\left(-2+2{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-2-2{}\mathrm{i}\right)","Not used",1,"4*log(x) - log(x + 1i)*(2 + 2i) - log(x - 1i)*(2 - 2i) - 4/x","B"
432,1,15,17,0.057431,"\text{Not used}","int((8*x + 24)/(x*(x^2 - 4)),x)","5\,\ln\left(x-2\right)+\ln\left(x+2\right)-6\,\ln\left(x\right)","Not used",1,"5*log(x - 2) + log(x + 2) - 6*log(x)","B"
433,1,13,19,2.336177,"\text{Not used}","int(-(x^2 - 1)/(2*x - x^3),x)","\frac{\ln\left(x^2-2\right)}{4}+\frac{\ln\left(x\right)}{2}","Not used",1,"log(x^2 - 2)/4 + log(x)/2","B"
434,1,10,12,2.268657,"\text{Not used}","int((x^2 + 1)/(3*x + x^3),x)","\frac{\ln\left(x^3+3\,x\right)}{3}","Not used",1,"log(3*x + x^3)/3","B"
435,1,10,10,0.055674,"\text{Not used}","int((a + 3*b*x^2)/(a*x + b*x^3),x)","\ln\left(b\,x^3+a\,x\right)","Not used",1,"log(a*x + b*x^3)","B"
436,1,15,17,0.056285,"\text{Not used}","int(-(4*x - 2)/(x - x^3),x)","\ln\left(x-1\right)-3\,\ln\left(x+1\right)+2\,\ln\left(x\right)","Not used",1,"log(x - 1) - 3*log(x + 1) + 2*log(x)","B"
437,1,21,23,0.048749,"\text{Not used}","int((x + 4)/(4*x + x^3),x)","\ln\left(x\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x) - log(x + 2i)*(1/2 - 1i/4) - log(x - 2i)*(1/2 + 1i/4)","B"
438,1,13,15,0.041768,"\text{Not used}","int(-(x - 2*x^3)/(x^4 - x^2 + 1),x)","\frac{\ln\left(x^4-x^2+1\right)}{2}","Not used",1,"log(x^4 - x^2 + 1)/2","B"
439,1,17,21,0.066508,"\text{Not used}","int((x - 3)/(2*x + 3*x^2 + x^3),x)","4\,\ln\left(x+1\right)-\frac{5\,\ln\left(x+2\right)}{2}-\frac{3\,\ln\left(x\right)}{2}","Not used",1,"4*log(x + 1) - (5*log(x + 2))/2 - (3*log(x))/2","B"
440,1,10,10,2.204181,"\text{Not used}","int((4*x + 2)/(x^2 + 2*x^3 + x^4),x)","-\frac{2}{x\,\left(x+1\right)}","Not used",1,"-2/(x*(x + 1))","B"
441,1,17,25,0.106588,"\text{Not used}","int((x + 1)/(x^2 - 6*x + x^3),x)","\frac{3\,\ln\left(x-2\right)}{10}-\frac{2\,\ln\left(x+3\right)}{15}-\frac{\ln\left(x\right)}{6}","Not used",1,"(3*log(x - 2))/10 - (2*log(x + 3))/15 - log(x)/6","B"
442,1,14,14,2.219438,"\text{Not used}","int((4*x^2 + x^3)/(x + x^3),x)","x+2\,\ln\left(x^2+1\right)-\mathrm{atan}\left(x\right)","Not used",1,"x + 2*log(x^2 + 1) - atan(x)","B"
443,1,20,13,2.244568,"\text{Not used}","int((x + 2*x^3)/(x^2 + x^4)^3,x)","-\frac{1}{4\,x^8+8\,x^6+4\,x^4}","Not used",1,"-1/(4*x^4 + 8*x^6 + 4*x^8)","B"
444,1,25,26,2.234392,"\text{Not used}","int((a*x^2 + b*x^3)/(c*x^2 + d*x^3),x)","\frac{\ln\left(c+d\,x\right)\,\left(a\,d-b\,c\right)}{d^2}+\frac{b\,x}{d}","Not used",1,"(log(c + d*x)*(a*d - b*c))/d^2 + (b*x)/d","B"
445,1,4,6,0.017671,"\text{Not used}","int(-(x + x^2)/(2*x + x^2 - x^3),x)","\ln\left(x-2\right)","Not used",1,"log(x - 2)","B"
446,1,18,20,0.038682,"\text{Not used}","int(-(5*x^2 - 1)/(x^3*(x^2 + 1)),x)","3\,\ln\left(x^2+1\right)-6\,\ln\left(x\right)-\frac{1}{2\,x^2}","Not used",1,"3*log(x^2 + 1) - 6*log(x) - 1/(2*x^2)","B"
447,1,44,38,0.157619,"\text{Not used}","int((2*x)/((x^2 + 5)*(x - 1)),x)","\frac{\ln\left(x-1\right)}{3}-\ln\left(x-\sqrt{5}\,1{}\mathrm{i}\right)\,\left(\frac{1}{6}+\frac{\sqrt{5}\,1{}\mathrm{i}}{6}\right)+\ln\left(x+\sqrt{5}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{5}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(x - 1)/3 - log(x - 5^(1/2)*1i)*((5^(1/2)*1i)/6 + 1/6) + log(x + 5^(1/2)*1i)*((5^(1/2)*1i)/6 - 1/6)","B"
448,1,15,17,0.030658,"\text{Not used}","int((x^2 + 2)/(x + 2),x)","6\,\ln\left(x+2\right)-2\,x+\frac{x^2}{2}","Not used",1,"6*log(x + 2) - 2*x + x^2/2","B"
449,1,25,31,0.052886,"\text{Not used}","int(1/((x^2 + 4)*(x - 3)),x)","\frac{\ln\left(x-3\right)}{13}+\ln\left(x-2{}\mathrm{i}\right)\,\left(-\frac{1}{26}+\frac{3}{52}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(-\frac{1}{26}-\frac{3}{52}{}\mathrm{i}\right)","Not used",1,"log(x - 3)/13 - log(x - 2i)*(1/26 - 3i/52) - log(x + 2i)*(1/26 + 3i/52)","B"
450,1,13,19,0.089702,"\text{Not used}","int((3*x^6 - 2)/(x*(2*x^6 + 5)),x)","\frac{19\,\ln\left(x^6+\frac{5}{2}\right)}{60}-\frac{2\,\ln\left(x\right)}{5}","Not used",1,"(19*log(x^6 + 5/2))/60 - (2*log(x))/5","B"
451,1,9,11,2.217290,"\text{Not used}","int((2*x + 3)/((x - 2)*(x + 5)),x)","\ln\left(x^2+3\,x-10\right)","Not used",1,"log(3*x + x^2 - 10)","B"
452,1,12,18,2.215853,"\text{Not used}","int(x^4/(5*x^2 + x^4 + 4),x)","x-\frac{8\,\mathrm{atan}\left(\frac{x}{2}\right)}{3}+\frac{\mathrm{atan}\left(x\right)}{3}","Not used",1,"x - (8*atan(x/2))/3 + atan(x)/3","B"
453,1,45,46,0.041634,"\text{Not used}","int(1/((x + 1)*(x + 2)^2*(x + 3)^3),x)","\frac{\ln\left(x+1\right)}{8}+2\,\ln\left(x+2\right)-\frac{17\,\ln\left(x+3\right)}{8}+\frac{\frac{9\,x^2}{4}+\frac{25\,x}{2}+17}{x^3+8\,x^2+21\,x+18}","Not used",1,"log(x + 1)/8 + 2*log(x + 2) - (17*log(x + 3))/8 + ((25*x)/2 + (9*x^2)/4 + 17)/(21*x + 8*x^2 + x^3 + 18)","B"
454,1,8,12,0.041538,"\text{Not used}","int(x/(x^2 - 1),x)","\frac{\ln\left(x^2-1\right)}{2}","Not used",1,"log(x^2 - 1)/2","B"
455,1,17,21,2.215679,"\text{Not used}","int(1/(x^2 - 1)^2,x)","\frac{\mathrm{atanh}\left(x\right)}{2}-\frac{x}{2\,\left(x^2-1\right)}","Not used",1,"atanh(x)/2 - x/(2*(x^2 - 1))","B"
456,1,17,19,0.026744,"\text{Not used}","int(x^2/(x^2 + 1)^2,x)","\frac{\mathrm{atan}\left(x\right)}{2}-\frac{x}{2\,\left(x^2+1\right)}","Not used",1,"atan(x)/2 - x/(2*(x^2 + 1))","B"
457,1,6,10,0.068326,"\text{Not used}","int(1/(3*x + 2),x)","\frac{\ln\left(x+\frac{2}{3}\right)}{3}","Not used",1,"log(x + 2/3)/3","B"
458,1,10,10,2.245106,"\text{Not used}","int(1/(a^2 + x^2),x)","\frac{\mathrm{atan}\left(\frac{x}{a}\right)}{a}","Not used",1,"atan(x/a)/a","B"
459,1,16,24,2.243125,"\text{Not used}","int(1/(a + b*x^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"atan((b^(1/2)*x)/a^(1/2))/(a^(1/2)*b^(1/2))","B"
460,1,16,19,0.031724,"\text{Not used}","int(1/(x^2 - x + 2),x)","\frac{2\,\sqrt{7}\,\mathrm{atan}\left(\frac{\sqrt{7}\,\left(2\,x-1\right)}{7}\right)}{7}","Not used",1,"(2*7^(1/2)*atan((7^(1/2)*(2*x - 1))/7))/7","B"
461,1,17,22,0.024236,"\text{Not used}","int(x^2*(x^2 - 4)^2,x)","\frac{x^3\,\left(15\,x^4-168\,x^2+560\right)}{105}","Not used",1,"(x^3*(15*x^4 - 168*x^2 + 560))/105","B"
462,1,17,22,0.028949,"\text{Not used}","int(x*(x^3 - 1)^2,x)","\frac{x^2\,\left(5\,x^6-16\,x^3+20\right)}{40}","Not used",1,"(x^2*(5*x^6 - 16*x^3 + 20))/40","B"
463,1,15,16,0.027647,"\text{Not used}","int((5*x^2 + x^3 - 4)/x^2,x)","\frac{x^3+10\,x^2+8}{2\,x}","Not used",1,"(10*x^2 + x^3 + 8)/(2*x)","B"
464,1,30,37,2.219312,"\text{Not used}","int((x - 1)/(3*x^2 - 4*x + 3),x)","\frac{\ln\left(x^2-\frac{4\,x}{3}+1\right)}{6}-\frac{\sqrt{5}\,\mathrm{atan}\left(\frac{3\,\sqrt{5}\,x}{5}-\frac{2\,\sqrt{5}}{5}\right)}{15}","Not used",1,"log(x^2 - (4*x)/3 + 1)/6 - (5^(1/2)*atan((3*5^(1/2)*x)/5 - (2*5^(1/2))/5))/15","B"
465,1,13,14,0.024392,"\text{Not used}","int((x^3 + 2)^2,x)","\frac{x\,\left(x^6+7\,x^3+28\right)}{7}","Not used",1,"(x*(7*x^3 + x^6 + 28))/7","B"
466,1,6,11,0.016220,"\text{Not used}","int((x^2 - 4)/(x + 2),x)","\frac{x\,\left(x-4\right)}{2}","Not used",1,"(x*(x - 4))/2","B"
467,1,25,25,0.049322,"\text{Not used}","int(1/((x^2 + 1)*(x + 2)),x)","\frac{\ln\left(x+2\right)}{5}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{10}-\frac{1}{5}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{10}+\frac{1}{5}{}\mathrm{i}\right)","Not used",1,"log(x + 2)/5 - log(x - 1i)*(1/10 + 1i/5) - log(x + 1i)*(1/10 - 1i/5)","B"
468,1,25,25,2.228347,"\text{Not used}","int(1/((x^2 + 1)*(x + 1)),x)","\frac{\ln\left(x+1\right)}{2}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x + 1)/2 - log(x - 1i)*(1/4 + 1i/4) - log(x + 1i)*(1/4 - 1i/4)","B"
469,1,25,25,2.209446,"\text{Not used}","int(x/((x^2 + 1)*(x + 1)),x)","-\frac{\ln\left(x+1\right)}{2}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(1/4 - 1i/4) - log(x + 1)/2 + log(x + 1i)*(1/4 + 1i/4)","B"
470,1,7,9,0.023033,"\text{Not used}","int((2*x + x^2)/(x + 1)^2,x)","x+\frac{1}{x+1}","Not used",1,"x + 1/(x + 1)","B"
471,1,16,22,0.054908,"\text{Not used}","int((x^2 - 10)/(9*x^2 + 2*x^4 + 4),x)","\mathrm{atan}\left(\frac{x}{2}\right)-\frac{3\,\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\right)}{2}","Not used",1,"atan(x/2) - (3*2^(1/2)*atan(2^(1/2)*x))/2","B"
472,1,30,37,0.044924,"\text{Not used}","int((5*x + 31)/(3*x^2 - 4*x + 11),x)","\frac{5\,\ln\left(x^2-\frac{4\,x}{3}+\frac{11}{3}\right)}{6}+\frac{103\,\sqrt{29}\,\mathrm{atan}\left(\frac{3\,\sqrt{29}\,x}{29}-\frac{2\,\sqrt{29}}{29}\right)}{87}","Not used",1,"(5*log(x^2 - (4*x)/3 + 11/3))/6 + (103*29^(1/2)*atan((3*29^(1/2)*x)/29 - (2*29^(1/2))/29))/87","B"
473,1,13,15,0.026002,"\text{Not used}","int((x^2 + x^3 - 2)/x^4,x)","\ln\left(x\right)-\frac{x^2-\frac{2}{3}}{x^3}","Not used",1,"log(x) - (x^2 - 2/3)/x^3","B"
474,1,13,15,0.022585,"\text{Not used}","int((x + x^3 + 1)/x^2,x)","\ln\left(x\right)-\frac{1}{x}+\frac{x^2}{2}","Not used",1,"log(x) - 1/x + x^2/2","B"
475,1,11,11,0.056303,"\text{Not used}","int((x^2 - 2)/(x*(x^2 + 2)),x)","\ln\left(x^2+2\right)-\ln\left(x\right)","Not used",1,"log(x^2 + 2) - log(x)","B"
476,1,17,22,0.030121,"\text{Not used}","int((4*x^2 - 7)*(x - 3),x)","x^4-4\,x^3-\frac{7\,x^2}{2}+21\,x","Not used",1,"21*x - (7*x^2)/2 - 4*x^3 + x^4","B"
477,1,9,11,0.141712,"\text{Not used}","int((7*x - 2)^3,x)","\frac{{\left(7\,x-2\right)}^4}{28}","Not used",1,"(7*x - 2)^4/28","B"
478,1,11,13,2.211151,"\text{Not used}","int((4*x^2 - 7)/(2*x + 3),x)","\ln\left(x+\frac{3}{2}\right)-3\,x+x^2","Not used",1,"log(x + 3/2) - 3*x + x^2","B"
479,1,12,16,0.034397,"\text{Not used}","int((x + 1)/(x^2*(x - 1)),x)","\frac{1}{x}-4\,\mathrm{atanh}\left(2\,x-1\right)","Not used",1,"1/x - 4*atanh(2*x - 1)","B"
480,1,23,27,2.227792,"\text{Not used}","int(1/(4*x^2 + 4*x^3 + x^4),x)","\frac{\mathrm{atanh}\left(x+1\right)}{2}-\frac{\frac{x}{2}+\frac{1}{2}}{x^2+2\,x}","Not used",1,"atanh(x + 1)/2 - (x/2 + 1/2)/(2*x + x^2)","B"
481,1,15,17,0.026072,"\text{Not used}","int((x^2 + 1)/(x + 1),x)","2\,\ln\left(x+1\right)-x+\frac{x^2}{2}","Not used",1,"2*log(x + 1) - x + x^2/2","B"
482,1,16,18,0.028962,"\text{Not used}","int((3*x - 3*x^2 + x^3 - 1)/x^2,x)","3\,\ln\left(x\right)-3\,x+\frac{1}{x}+\frac{x^2}{2}","Not used",1,"3*log(x) - 3*x + 1/x + x^2/2","B"
483,1,13,18,0.024051,"\text{Not used}","int((x - 37^(1/2)/2 + 3/2)*(x + 37^(1/2)/2 + 3/2),x)","\frac{x\,\left(2\,x^2+9\,x-42\right)}{6}","Not used",1,"(x*(9*x + 2*x^2 - 42))/6","B"
484,1,23,23,0.032440,"\text{Not used}","int((3*x^2 + 2*x^3 + 4)/(x + 1)^4,x)","2\,\ln\left(x+1\right)+\frac{3\,x^2+6\,x+\frac{4}{3}}{{\left(x+1\right)}^3}","Not used",1,"2*log(x + 1) + (6*x + 3*x^2 + 4/3)/(x + 1)^3","B"
485,1,12,16,2.218559,"\text{Not used}","int(x/((x^2 + 1)*(x + 1)^2),x)","\frac{\mathrm{atan}\left(x\right)}{2}+\frac{1}{2\,\left(x+1\right)}","Not used",1,"atan(x)/2 + 1/(2*(x + 1))","B"
486,1,25,29,0.026340,"\text{Not used}","int((3*x^2 - 2*x - x^3 + x^4 + 7)/(x + 2),x)","47\,\ln\left(x+2\right)-20\,x+\frac{9\,x^2}{2}-x^3+\frac{x^4}{4}","Not used",1,"47*log(x + 2) - 20*x + (9*x^2)/2 - x^3 + x^4/4","B"
487,1,13,16,0.020867,"\text{Not used}","int((x^3 - 1)/(x - 1),x)","\frac{x\,\left(2\,x^2+3\,x+6\right)}{6}","Not used",1,"(x*(3*x + 2*x^2 + 6))/6","B"
488,1,17,17,0.031463,"\text{Not used}","int((2*x + 2)/((x^2 + 1)*(x - 1)^3),x)","\mathrm{atan}\left(x\right)+\frac{x-2}{x^2-2\,x+1}","Not used",1,"atan(x) + (x - 2)/(x^2 - 2*x + 1)","B"
489,1,42,47,0.096763,"\text{Not used}","int(1/(c*(d + e*x)^2 + b*x),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x\,e^2+2\,c\,d\,e+b}{\sqrt{b}\,\sqrt{b+4\,c\,d\,e}}\right)}{\sqrt{b}\,\sqrt{b+4\,c\,d\,e}}","Not used",1,"-(2*atanh((b + 2*c*d*e + 2*c*e^2*x)/(b^(1/2)*(b + 4*c*d*e)^(1/2))))/(b^(1/2)*(b + 4*c*d*e)^(1/2))","B"
490,1,82,57,2.226563,"\text{Not used}","int(1/(a + c*(d + e*x)^2 + b*x),x)","\frac{2\,\mathrm{atan}\left(\frac{b+2\,c\,d\,e}{\sqrt{-b^2-4\,c\,d\,b\,e+4\,a\,c\,e^2}}+\frac{2\,c\,e^2\,x}{\sqrt{-b^2-4\,c\,d\,b\,e+4\,a\,c\,e^2}}\right)}{\sqrt{-b^2-4\,c\,d\,b\,e+4\,a\,c\,e^2}}","Not used",1,"(2*atan((b + 2*c*d*e)/(4*a*c*e^2 - b^2 - 4*b*c*d*e)^(1/2) + (2*c*e^2*x)/(4*a*c*e^2 - b^2 - 4*b*c*d*e)^(1/2)))/(4*a*c*e^2 - b^2 - 4*b*c*d*e)^(1/2)","B"
491,1,101,188,2.300478,"\text{Not used}","int(x^2/((x^2 - 1)^2 + 1),x)","\mathrm{atanh}\left(32\,x\,{\left(\sqrt{-\frac{\sqrt{2}}{32}-\frac{1}{32}}+\sqrt{\frac{\sqrt{2}}{32}-\frac{1}{32}}\right)}^3\right)\,\left(2\,\sqrt{-\frac{\sqrt{2}}{32}-\frac{1}{32}}+2\,\sqrt{\frac{\sqrt{2}}{32}-\frac{1}{32}}\right)+\mathrm{atanh}\left(32\,x\,{\left(\sqrt{-\frac{\sqrt{2}}{32}-\frac{1}{32}}-\sqrt{\frac{\sqrt{2}}{32}-\frac{1}{32}}\right)}^3\right)\,\left(2\,\sqrt{-\frac{\sqrt{2}}{32}-\frac{1}{32}}-2\,\sqrt{\frac{\sqrt{2}}{32}-\frac{1}{32}}\right)","Not used",1,"atanh(32*x*((- 2^(1/2)/32 - 1/32)^(1/2) + (2^(1/2)/32 - 1/32)^(1/2))^3)*(2*(- 2^(1/2)/32 - 1/32)^(1/2) + 2*(2^(1/2)/32 - 1/32)^(1/2)) + atanh(32*x*((- 2^(1/2)/32 - 1/32)^(1/2) - (2^(1/2)/32 - 1/32)^(1/2))^3)*(2*(- 2^(1/2)/32 - 1/32)^(1/2) - 2*(2^(1/2)/32 - 1/32)^(1/2))","B"
492,1,27,60,2.337132,"\text{Not used}","int(-(5*x^2 - 36*x + 12*x^3 - 34*x^4 + 140*x^5 + 15*x^6 + 8*x^7 - 30*x^9 + 15)/(x + x^4 + 3)^4,x)","\frac{-5\,x^6+x^4+5\,x^2-3\,x+2}{{\left(x^4+x+3\right)}^3}","Not used",1,"(5*x^2 - 3*x + x^4 - 5*x^6 + 2)/(x + x^4 + 3)^3","B"
493,1,27,27,0.045264,"\text{Not used}","int((684*x + 360*x^2 + 57*x^3 - 141)/(x + x^4 + 3)^4 - (320*x + 75*x^2 + 8*x^3 - 42)/(x + x^4 + 3)^3 + (30*x)/(x + x^4 + 3)^2,x)","\frac{-5\,x^6+x^4+5\,x^2-3\,x+2}{{\left(x^4+x+3\right)}^3}","Not used",1,"(5*x^2 - 3*x + x^4 - 5*x^6 + 2)/(x + x^4 + 3)^3","B"
494,1,27,27,0.042690,"\text{Not used}","int((10*x + 4*x^3 - 30*x^5 - 3)/(x + x^4 + 3)^3 - (3*(4*x^3 + 1)*(5*x^2 - 3*x + x^4 - 5*x^6 + 2))/(x + x^4 + 3)^4,x)","\frac{-5\,x^6+x^4+5\,x^2-3\,x+2}{{\left(x^4+x+3\right)}^3}","Not used",1,"(5*x^2 - 3*x + x^4 - 5*x^6 + 2)/(x + x^4 + 3)^3","B"