1,1,64,0,1.225372," ","integrate(x^2*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{9} x^{9} c C + \frac{1}{8} x^{8} c B + \frac{1}{7} x^{7} b C + \frac{1}{7} x^{7} c A + \frac{1}{6} x^{6} b B + \frac{1}{5} x^{5} a C + \frac{1}{5} x^{5} b A + \frac{1}{4} x^{4} a B + \frac{1}{3} x^{3} a A"," ",0,"1/9*x^9*c*C + 1/8*x^8*c*B + 1/7*x^7*b*C + 1/7*x^7*c*A + 1/6*x^6*b*B + 1/5*x^5*a*C + 1/5*x^5*b*A + 1/4*x^4*a*B + 1/3*x^3*a*A","A",0
2,1,64,0,1.171168," ","integrate(x*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{8} x^{8} c C + \frac{1}{7} x^{7} c B + \frac{1}{6} x^{6} b C + \frac{1}{6} x^{6} c A + \frac{1}{5} x^{5} b B + \frac{1}{4} x^{4} a C + \frac{1}{4} x^{4} b A + \frac{1}{3} x^{3} a B + \frac{1}{2} x^{2} a A"," ",0,"1/8*x^8*c*C + 1/7*x^7*c*B + 1/6*x^6*b*C + 1/6*x^6*c*A + 1/5*x^5*b*B + 1/4*x^4*a*C + 1/4*x^4*b*A + 1/3*x^3*a*B + 1/2*x^2*a*A","A",0
3,1,61,0,1.062244," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{1}{7} x^{7} c C + \frac{1}{6} x^{6} c B + \frac{1}{5} x^{5} b C + \frac{1}{5} x^{5} c A + \frac{1}{4} x^{4} b B + \frac{1}{3} x^{3} a C + \frac{1}{3} x^{3} b A + \frac{1}{2} x^{2} a B + x a A"," ",0,"1/7*x^7*c*C + 1/6*x^6*c*B + 1/5*x^5*b*C + 1/5*x^5*c*A + 1/4*x^4*b*B + 1/3*x^3*a*C + 1/3*x^3*b*A + 1/2*x^2*a*B + x*a*A","A",0
4,1,55,0,1.286796," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x,x, algorithm=""fricas"")","\frac{1}{6} \, C c x^{6} + \frac{1}{5} \, B c x^{5} + \frac{1}{3} \, B b x^{3} + \frac{1}{4} \, {\left(C b + A c\right)} x^{4} + B a x + \frac{1}{2} \, {\left(C a + A b\right)} x^{2} + A a \log\left(x\right)"," ",0,"1/6*C*c*x^6 + 1/5*B*c*x^5 + 1/3*B*b*x^3 + 1/4*(C*b + A*c)*x^4 + B*a*x + 1/2*(C*a + A*b)*x^2 + A*a*log(x)","A",0
5,1,62,0,1.233958," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^2,x, algorithm=""fricas"")","\frac{12 \, C c x^{6} + 15 \, B c x^{5} + 30 \, B b x^{3} + 20 \, {\left(C b + A c\right)} x^{4} + 60 \, B a x \log\left(x\right) + 60 \, {\left(C a + A b\right)} x^{2} - 60 \, A a}{60 \, x}"," ",0,"1/60*(12*C*c*x^6 + 15*B*c*x^5 + 30*B*b*x^3 + 20*(C*b + A*c)*x^4 + 60*B*a*x*log(x) + 60*(C*a + A*b)*x^2 - 60*A*a)/x","A",0
6,1,62,0,1.325096," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^3,x, algorithm=""fricas"")","\frac{3 \, C c x^{6} + 4 \, B c x^{5} + 12 \, B b x^{3} + 6 \, {\left(C b + A c\right)} x^{4} + 12 \, {\left(C a + A b\right)} x^{2} \log\left(x\right) - 12 \, B a x - 6 \, A a}{12 \, x^{2}}"," ",0,"1/12*(3*C*c*x^6 + 4*B*c*x^5 + 12*B*b*x^3 + 6*(C*b + A*c)*x^4 + 12*(C*a + A*b)*x^2*log(x) - 12*B*a*x - 6*A*a)/x^2","A",0
7,1,62,0,1.255179," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^4,x, algorithm=""fricas"")","\frac{2 \, C c x^{6} + 3 \, B c x^{5} + 6 \, B b x^{3} \log\left(x\right) + 6 \, {\left(C b + A c\right)} x^{4} - 3 \, B a x - 6 \, {\left(C a + A b\right)} x^{2} - 2 \, A a}{6 \, x^{3}}"," ",0,"1/6*(2*C*c*x^6 + 3*B*c*x^5 + 6*B*b*x^3*log(x) + 6*(C*b + A*c)*x^4 - 3*B*a*x - 6*(C*a + A*b)*x^2 - 2*A*a)/x^3","A",0
8,1,62,0,1.380234," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^5,x, algorithm=""fricas"")","\frac{6 \, C c x^{6} + 12 \, B c x^{5} + 12 \, {\left(C b + A c\right)} x^{4} \log\left(x\right) - 12 \, B b x^{3} - 4 \, B a x - 6 \, {\left(C a + A b\right)} x^{2} - 3 \, A a}{12 \, x^{4}}"," ",0,"1/12*(6*C*c*x^6 + 12*B*c*x^5 + 12*(C*b + A*c)*x^4*log(x) - 12*B*b*x^3 - 4*B*a*x - 6*(C*a + A*b)*x^2 - 3*A*a)/x^4","A",0
9,1,62,0,1.282579," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^6,x, algorithm=""fricas"")","\frac{60 \, C c x^{6} + 60 \, B c x^{5} \log\left(x\right) - 30 \, B b x^{3} - 60 \, {\left(C b + A c\right)} x^{4} - 15 \, B a x - 20 \, {\left(C a + A b\right)} x^{2} - 12 \, A a}{60 \, x^{5}}"," ",0,"1/60*(60*C*c*x^6 + 60*B*c*x^5*log(x) - 30*B*b*x^3 - 60*(C*b + A*c)*x^4 - 15*B*a*x - 20*(C*a + A*b)*x^2 - 12*A*a)/x^5","A",0
10,1,62,0,0.970960," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)/x^7,x, algorithm=""fricas"")","\frac{60 \, C c x^{6} \log\left(x\right) - 60 \, B c x^{5} - 20 \, B b x^{3} - 30 \, {\left(C b + A c\right)} x^{4} - 12 \, B a x - 15 \, {\left(C a + A b\right)} x^{2} - 10 \, A a}{60 \, x^{6}}"," ",0,"1/60*(60*C*c*x^6*log(x) - 60*B*c*x^5 - 20*B*b*x^3 - 30*(C*b + A*c)*x^4 - 12*B*a*x - 15*(C*a + A*b)*x^2 - 10*A*a)/x^6","A",0
11,1,154,0,1.140905," ","integrate(x^2*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{13} x^{13} c^{2} C + \frac{1}{12} x^{12} c^{2} B + \frac{2}{11} x^{11} c b C + \frac{1}{11} x^{11} c^{2} A + \frac{1}{5} x^{10} c b B + \frac{1}{9} x^{9} b^{2} C + \frac{2}{9} x^{9} c a C + \frac{2}{9} x^{9} c b A + \frac{1}{8} x^{8} b^{2} B + \frac{1}{4} x^{8} c a B + \frac{2}{7} x^{7} b a C + \frac{1}{7} x^{7} b^{2} A + \frac{2}{7} x^{7} c a A + \frac{1}{3} x^{6} b a B + \frac{1}{5} x^{5} a^{2} C + \frac{2}{5} x^{5} b a A + \frac{1}{4} x^{4} a^{2} B + \frac{1}{3} x^{3} a^{2} A"," ",0,"1/13*x^13*c^2*C + 1/12*x^12*c^2*B + 2/11*x^11*c*b*C + 1/11*x^11*c^2*A + 1/5*x^10*c*b*B + 1/9*x^9*b^2*C + 2/9*x^9*c*a*C + 2/9*x^9*c*b*A + 1/8*x^8*b^2*B + 1/4*x^8*c*a*B + 2/7*x^7*b*a*C + 1/7*x^7*b^2*A + 2/7*x^7*c*a*A + 1/3*x^6*b*a*B + 1/5*x^5*a^2*C + 2/5*x^5*b*a*A + 1/4*x^4*a^2*B + 1/3*x^3*a^2*A","A",0
12,1,154,0,1.093126," ","integrate(x*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{12} x^{12} c^{2} C + \frac{1}{11} x^{11} c^{2} B + \frac{1}{5} x^{10} c b C + \frac{1}{10} x^{10} c^{2} A + \frac{2}{9} x^{9} c b B + \frac{1}{8} x^{8} b^{2} C + \frac{1}{4} x^{8} c a C + \frac{1}{4} x^{8} c b A + \frac{1}{7} x^{7} b^{2} B + \frac{2}{7} x^{7} c a B + \frac{1}{3} x^{6} b a C + \frac{1}{6} x^{6} b^{2} A + \frac{1}{3} x^{6} c a A + \frac{2}{5} x^{5} b a B + \frac{1}{4} x^{4} a^{2} C + \frac{1}{2} x^{4} b a A + \frac{1}{3} x^{3} a^{2} B + \frac{1}{2} x^{2} a^{2} A"," ",0,"1/12*x^12*c^2*C + 1/11*x^11*c^2*B + 1/5*x^10*c*b*C + 1/10*x^10*c^2*A + 2/9*x^9*c*b*B + 1/8*x^8*b^2*C + 1/4*x^8*c*a*C + 1/4*x^8*c*b*A + 1/7*x^7*b^2*B + 2/7*x^7*c*a*B + 1/3*x^6*b*a*C + 1/6*x^6*b^2*A + 1/3*x^6*c*a*A + 2/5*x^5*b*a*B + 1/4*x^4*a^2*C + 1/2*x^4*b*a*A + 1/3*x^3*a^2*B + 1/2*x^2*a^2*A","A",0
13,1,151,0,0.977997," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{11} x^{11} c^{2} C + \frac{1}{10} x^{10} c^{2} B + \frac{2}{9} x^{9} c b C + \frac{1}{9} x^{9} c^{2} A + \frac{1}{4} x^{8} c b B + \frac{1}{7} x^{7} b^{2} C + \frac{2}{7} x^{7} c a C + \frac{2}{7} x^{7} c b A + \frac{1}{6} x^{6} b^{2} B + \frac{1}{3} x^{6} c a B + \frac{2}{5} x^{5} b a C + \frac{1}{5} x^{5} b^{2} A + \frac{2}{5} x^{5} c a A + \frac{1}{2} x^{4} b a B + \frac{1}{3} x^{3} a^{2} C + \frac{2}{3} x^{3} b a A + \frac{1}{2} x^{2} a^{2} B + x a^{2} A"," ",0,"1/11*x^11*c^2*C + 1/10*x^10*c^2*B + 2/9*x^9*c*b*C + 1/9*x^9*c^2*A + 1/4*x^8*c*b*B + 1/7*x^7*b^2*C + 2/7*x^7*c*a*C + 2/7*x^7*c*b*A + 1/6*x^6*b^2*B + 1/3*x^6*c*a*B + 2/5*x^5*b*a*C + 1/5*x^5*b^2*A + 2/5*x^5*c*a*A + 1/2*x^4*b*a*B + 1/3*x^3*a^2*C + 2/3*x^3*b*a*A + 1/2*x^2*a^2*B + x*a^2*A","A",0
14,1,138,0,1.360807," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x,x, algorithm=""fricas"")","\frac{1}{10} \, C c^{2} x^{10} + \frac{1}{9} \, B c^{2} x^{9} + \frac{2}{7} \, B b c x^{7} + \frac{1}{8} \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + \frac{1}{6} \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} + \frac{2}{3} \, B a b x^{3} + \frac{1}{5} \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} + \frac{1}{4} \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} + B a^{2} x + A a^{2} \log\left(x\right) + \frac{1}{2} \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}"," ",0,"1/10*C*c^2*x^10 + 1/9*B*c^2*x^9 + 2/7*B*b*c*x^7 + 1/8*(2*C*b*c + A*c^2)*x^8 + 1/6*(C*b^2 + 2*(C*a + A*b)*c)*x^6 + 2/3*B*a*b*x^3 + 1/5*(B*b^2 + 2*B*a*c)*x^5 + 1/4*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 + B*a^2*x + A*a^2*log(x) + 1/2*(C*a^2 + 2*A*a*b)*x^2","A",0
15,1,145,0,1.527333," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^2,x, algorithm=""fricas"")","\frac{280 \, C c^{2} x^{10} + 315 \, B c^{2} x^{9} + 840 \, B b c x^{7} + 360 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 504 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} + 2520 \, B a b x^{3} + 630 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} + 840 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} + 2520 \, B a^{2} x \log\left(x\right) - 2520 \, A a^{2} + 2520 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}}{2520 \, x}"," ",0,"1/2520*(280*C*c^2*x^10 + 315*B*c^2*x^9 + 840*B*b*c*x^7 + 360*(2*C*b*c + A*c^2)*x^8 + 504*(C*b^2 + 2*(C*a + A*b)*c)*x^6 + 2520*B*a*b*x^3 + 630*(B*b^2 + 2*B*a*c)*x^5 + 840*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 + 2520*B*a^2*x*log(x) - 2520*A*a^2 + 2520*(C*a^2 + 2*A*a*b)*x^2)/x","A",0
16,1,145,0,1.259612," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^3,x, algorithm=""fricas"")","\frac{105 \, C c^{2} x^{10} + 120 \, B c^{2} x^{9} + 336 \, B b c x^{7} + 140 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 210 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} + 1680 \, B a b x^{3} + 280 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} + 420 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} - 840 \, B a^{2} x + 840 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2} \log\left(x\right) - 420 \, A a^{2}}{840 \, x^{2}}"," ",0,"1/840*(105*C*c^2*x^10 + 120*B*c^2*x^9 + 336*B*b*c*x^7 + 140*(2*C*b*c + A*c^2)*x^8 + 210*(C*b^2 + 2*(C*a + A*b)*c)*x^6 + 1680*B*a*b*x^3 + 280*(B*b^2 + 2*B*a*c)*x^5 + 420*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 - 840*B*a^2*x + 840*(C*a^2 + 2*A*a*b)*x^2*log(x) - 420*A*a^2)/x^2","A",0
17,1,145,0,1.381279," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^4,x, algorithm=""fricas"")","\frac{30 \, C c^{2} x^{10} + 35 \, B c^{2} x^{9} + 105 \, B b c x^{7} + 42 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 70 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} + 420 \, B a b x^{3} \log\left(x\right) + 105 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} + 210 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} - 105 \, B a^{2} x - 70 \, A a^{2} - 210 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}}{210 \, x^{3}}"," ",0,"1/210*(30*C*c^2*x^10 + 35*B*c^2*x^9 + 105*B*b*c*x^7 + 42*(2*C*b*c + A*c^2)*x^8 + 70*(C*b^2 + 2*(C*a + A*b)*c)*x^6 + 420*B*a*b*x^3*log(x) + 105*(B*b^2 + 2*B*a*c)*x^5 + 210*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 - 105*B*a^2*x - 70*A*a^2 - 210*(C*a^2 + 2*A*a*b)*x^2)/x^3","A",0
18,1,145,0,1.671993," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^5,x, algorithm=""fricas"")","\frac{10 \, C c^{2} x^{10} + 12 \, B c^{2} x^{9} + 40 \, B b c x^{7} + 15 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 30 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} - 120 \, B a b x^{3} + 60 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} + 60 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} \log\left(x\right) - 20 \, B a^{2} x - 15 \, A a^{2} - 30 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}}{60 \, x^{4}}"," ",0,"1/60*(10*C*c^2*x^10 + 12*B*c^2*x^9 + 40*B*b*c*x^7 + 15*(2*C*b*c + A*c^2)*x^8 + 30*(C*b^2 + 2*(C*a + A*b)*c)*x^6 - 120*B*a*b*x^3 + 60*(B*b^2 + 2*B*a*c)*x^5 + 60*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4*log(x) - 20*B*a^2*x - 15*A*a^2 - 30*(C*a^2 + 2*A*a*b)*x^2)/x^4","A",0
19,1,145,0,1.474237," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^6,x, algorithm=""fricas"")","\frac{12 \, C c^{2} x^{10} + 15 \, B c^{2} x^{9} + 60 \, B b c x^{7} + 20 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 60 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} + 60 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} \log\left(x\right) - 60 \, B a b x^{3} - 60 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} - 15 \, B a^{2} x - 12 \, A a^{2} - 20 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}}{60 \, x^{5}}"," ",0,"1/60*(12*C*c^2*x^10 + 15*B*c^2*x^9 + 60*B*b*c*x^7 + 20*(2*C*b*c + A*c^2)*x^8 + 60*(C*b^2 + 2*(C*a + A*b)*c)*x^6 + 60*(B*b^2 + 2*B*a*c)*x^5*log(x) - 60*B*a*b*x^3 - 60*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 - 15*B*a^2*x - 12*A*a^2 - 20*(C*a^2 + 2*A*a*b)*x^2)/x^5","A",0
20,1,145,0,1.263963," ","integrate((C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2/x^7,x, algorithm=""fricas"")","\frac{15 \, C c^{2} x^{10} + 20 \, B c^{2} x^{9} + 120 \, B b c x^{7} + 30 \, {\left(2 \, C b c + A c^{2}\right)} x^{8} + 60 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} x^{6} \log\left(x\right) - 40 \, B a b x^{3} - 60 \, {\left(B b^{2} + 2 \, B a c\right)} x^{5} - 30 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} x^{4} - 12 \, B a^{2} x - 10 \, A a^{2} - 15 \, {\left(C a^{2} + 2 \, A a b\right)} x^{2}}{60 \, x^{6}}"," ",0,"1/60*(15*C*c^2*x^10 + 20*B*c^2*x^9 + 120*B*b*c*x^7 + 30*(2*C*b*c + A*c^2)*x^8 + 60*(C*b^2 + 2*(C*a + A*b)*c)*x^6*log(x) - 40*B*a*b*x^3 - 60*(B*b^2 + 2*B*a*c)*x^5 - 30*(2*C*a*b + A*b^2 + 2*A*a*c)*x^4 - 12*B*a^2*x - 10*A*a^2 - 15*(C*a^2 + 2*A*a*b)*x^2)/x^6","A",0
21,-1,0,0,0.000000," ","integrate(x^4*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate(x^3*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate(x^2*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate(x*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
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b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, C a b + A b^{2}\right)} c\right)} m\right)} x^{9} + {\left({\left(B b^{3} + 6 \, B a b c\right)} m^{14} + 112 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{13} + 5684 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{12} + 172928 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{11} + 3516198 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{10} + 50428896 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{9} + 524664572 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{8} + 4010311424 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{7} + 22548638161 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{6} + 92414105392 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{5} + 270359263944 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{4} + 163459296000 \, B b^{3} + 980755776000 \, B a b c + 543939234048 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{3} + 705481831440 \, {\left(B b^{3} + 6 \, B a b c\right)} m^{2} + 521962963200 \, {\left(B b^{3} + 6 \, B a b c\right)} m\right)} x^{8} + {\left({\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{14} + 113 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{13} + 5789 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{12} + 177877 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{11} + 3654483 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{10} + 52977099 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{9} + 557256047 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{8} + 4306835671 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{7} + 24483279856 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{6} + 101420251688 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{5} + 299730345264 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{4} + 560431872000 \, C a b^{2} + 186810624000 \, A b^{3} + 608700928752 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{3} + 796089202560 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m^{2} + 560431872000 \, {\left(C a^{2} + 2 \, A a b\right)} c + 593193196800 \, {\left(3 \, C a b^{2} + A b^{3} + 3 \, {\left(C a^{2} + 2 \, A a b\right)} c\right)} m\right)} x^{7} + 3 \, {\left({\left(B a b^{2} + B a^{2} c\right)} m^{14} + 114 \, {\left(B a b^{2} + B a^{2} c\right)} m^{13} + 5896 \, {\left(B a b^{2} + B a^{2} c\right)} m^{12} + 183024 \, {\left(B a b^{2} + B a^{2} c\right)} m^{11} + 3801478 \, {\left(B a b^{2} + B a^{2} c\right)} m^{10} + 55749612 \, {\left(B a b^{2} + B a^{2} c\right)} m^{9} + 593598068 \, {\left(B a b^{2} + B a^{2} c\right)} m^{8} + 4646039592 \, {\left(B a b^{2} + B a^{2} c\right)} m^{7} + 26754892001 \, {\left(B a b^{2} + B a^{2} c\right)} m^{6} + 112273858674 \, {\left(B a b^{2} + B a^{2} c\right)} m^{5} + 336028955036 \, {\left(B a b^{2} + B a^{2} c\right)} m^{4} + 217945728000 \, B a b^{2} + 217945728000 \, B a^{2} c + 690639615384 \, {\left(B a b^{2} + B a^{2} c\right)} m^{3} + 913158011520 \, {\left(B a b^{2} + B a^{2} c\right)} m^{2} + 686869545600 \, {\left(B a b^{2} + B a^{2} c\right)} m\right)} x^{6} + 3 \, {\left({\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{14} + 115 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{13} + 6005 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{12} + 188375 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{11} + 3957747 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{10} + 58769745 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{9} + 634247015 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{8} + 5036392925 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{7} + 29449164928 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{6} + 125557386040 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{5} + 381885176880 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{4} + 261534873600 \, C a^{2} b + 261534873600 \, A a b^{2} + 261534873600 \, A a^{2} c + 797387461200 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{3} + 1070058397824 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m^{2} + 815525625600 \, {\left(C a^{2} b + A a b^{2} + A a^{2} c\right)} m\right)} x^{5} + 3 \, {\left(B a^{2} b m^{14} + 116 \, B a^{2} b m^{13} + 6116 \, B a^{2} b m^{12} + 193936 \, B a^{2} b m^{11} + 4123878 \, B a^{2} b m^{10} + 62062968 \, B a^{2} b m^{9} + 679843868 \, B a^{2} b m^{8} + 5488252528 \, B a^{2} b m^{7} + 32678119441 \, B a^{2} b m^{6} + 142090732916 \, B a^{2} b m^{5} + 441309175416 \, B a^{2} b m^{4} + 941576643936 \, B a^{2} b m^{3} + 1290689128080 \, B a^{2} b m^{2} + 1003061102400 \, B a^{2} b m + 326918592000 \, B a^{2} b\right)} x^{4} + {\left({\left(C a^{3} + 3 \, A a^{2} b\right)} m^{14} + 117 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{13} + 6229 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{12} + 199713 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{11} + 4300483 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{10} + 65657031 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{9} + 731124647 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{8} + 6014254059 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{7} + 36588367376 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{6} + 163038108552 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{5} + 520557781424 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{4} + 435891456000 \, C a^{3} + 1307674368000 \, A a^{2} b + 1145140001328 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{3} + 1621575699840 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m^{2} + 1301090515200 \, {\left(C a^{3} + 3 \, A a^{2} b\right)} m\right)} x^{3} + {\left(B a^{3} m^{14} + 118 \, B a^{3} m^{13} + 6344 \, B a^{3} m^{12} + 205712 \, B a^{3} m^{11} + 4488198 \, B a^{3} m^{10} + 69582084 \, B a^{3} m^{9} + 788931572 \, B a^{3} m^{8} + 6629764856 \, B a^{3} m^{7} + 41371599841 \, B a^{3} m^{6} + 190060010998 \, B a^{3} m^{5} + 629552085084 \, B a^{3} m^{4} + 1447709175432 \, B a^{3} m^{3} + 2161577352960 \, B a^{3} m^{2} + 1842662908800 \, B a^{3} m + 653837184000 \, B a^{3}\right)} x^{2} + {\left(A a^{3} m^{14} + 119 \, A a^{3} m^{13} + 6461 \, A a^{3} m^{12} + 211939 \, A a^{3} m^{11} + 4687683 \, A a^{3} m^{10} + 73870797 \, A a^{3} m^{9} + 854224943 \, A a^{3} m^{8} + 7353403057 \, A a^{3} m^{7} + 47277726496 \, A a^{3} m^{6} + 225525484184 \, A a^{3} m^{5} + 784146622896 \, A a^{3} m^{4} + 1922666722704 \, A a^{3} m^{3} + 3134328981120 \, A a^{3} m^{2} + 3031488633600 \, A a^{3} m + 1307674368000 \, A a^{3}\right)} x\right)} \left(d x\right)^{m}}{m^{15} + 120 \, m^{14} + 6580 \, m^{13} + 218400 \, m^{12} + 4899622 \, m^{11} + 78558480 \, m^{10} + 928095740 \, m^{9} + 8207628000 \, m^{8} + 54631129553 \, m^{7} + 272803210680 \, m^{6} + 1009672107080 \, m^{5} + 2706813345600 \, m^{4} + 5056995703824 \, m^{3} + 6165817614720 \, m^{2} + 4339163001600 \, m + 1307674368000}"," ",0,"((C*c^3*m^14 + 105*C*c^3*m^13 + 5005*C*c^3*m^12 + 143325*C*c^3*m^11 + 2749747*C*c^3*m^10 + 37312275*C*c^3*m^9 + 368411615*C*c^3*m^8 + 2681453775*C*c^3*m^7 + 14409322928*C*c^3*m^6 + 56663366760*C*c^3*m^5 + 159721605680*C*c^3*m^4 + 310989260400*C*c^3*m^3 + 392156797824*C*c^3*m^2 + 283465647360*C*c^3*m + 87178291200*C*c^3)*x^15 + (B*c^3*m^14 + 106*B*c^3*m^13 + 5096*B*c^3*m^12 + 147056*B*c^3*m^11 + 2840838*B*c^3*m^10 + 38786748*B*c^3*m^9 + 385081268*B*c^3*m^8 + 2816490248*B*c^3*m^7 + 15200266081*B*c^3*m^6 + 59999485546*B*c^3*m^5 + 169679309436*B*c^3*m^4 + 331303013496*B*c^3*m^3 + 418753514880*B*c^3*m^2 + 303268406400*B*c^3*m + 93405312000*B*c^3)*x^14 + ((3*C*b*c^2 + A*c^3)*m^14 + 107*(3*C*b*c^2 + A*c^3)*m^13 + 5189*(3*C*b*c^2 + A*c^3)*m^12 + 150943*(3*C*b*c^2 + A*c^3)*m^11 + 2937363*(3*C*b*c^2 + A*c^3)*m^10 + 40372761*(3*C*b*c^2 + A*c^3)*m^9 + 403249847*(3*C*b*c^2 + A*c^3)*m^8 + 2965379989*(3*C*b*c^2 + A*c^3)*m^7 + 16081189696*(3*C*b*c^2 + A*c^3)*m^6 + 63747744632*(3*C*b*c^2 + A*c^3)*m^5 + 180951426864*(3*C*b*c^2 + A*c^3)*m^4 + 301771008000*C*b*c^2 + 100590336000*A*c^3 + 354444796368*(3*C*b*c^2 + A*c^3)*m^3 + 449213351040*(3*C*b*c^2 + A*c^3)*m^2 + 326044051200*(3*C*b*c^2 + A*c^3)*m)*x^13 + 3*(B*b*c^2*m^14 + 108*B*b*c^2*m^13 + 5284*B*b*c^2*m^12 + 154992*B*b*c^2*m^11 + 3039718*B*b*c^2*m^10 + 42081864*B*b*c^2*m^9 + 423113372*B*b*c^2*m^8 + 3130267536*B*b*c^2*m^7 + 17067919121*B*b*c^2*m^6 + 67988181228*B*b*c^2*m^5 + 193813932344*B*b*c^2*m^4 + 381046157472*B*b*c^2*m^3 + 484441814160*B*b*c^2*m^2 + 352515844800*B*b*c^2*m + 108972864000*B*b*c^2)*x^12 + 3*((C*b^2*c + (C*a + A*b)*c^2)*m^14 + 109*(C*b^2*c + (C*a + A*b)*c^2)*m^13 + 5381*(C*b^2*c + (C*a + A*b)*c^2)*m^12 + 159209*(C*b^2*c + (C*a + A*b)*c^2)*m^11 + 3148323*(C*b^2*c + (C*a + A*b)*c^2)*m^10 + 43926927*(C*b^2*c + (C*a + A*b)*c^2)*m^9 + 444899543*(C*b^2*c + (C*a + A*b)*c^2)*m^8 + 3313733027*(C*b^2*c + (C*a + A*b)*c^2)*m^7 + 18180066256*(C*b^2*c + (C*a + A*b)*c^2)*m^6 + 72822481864*(C*b^2*c + (C*a + A*b)*c^2)*m^5 + 208624806576*(C*b^2*c + (C*a + A*b)*c^2)*m^4 + 118879488000*C*b^2*c + 411940473264*(C*b^2*c + (C*a + A*b)*c^2)*m^3 + 118879488000*(C*a + A*b)*c^2 + 525650497920*(C*b^2*c + (C*a + A*b)*c^2)*m^2 + 383662137600*(C*b^2*c + (C*a + A*b)*c^2)*m)*x^11 + 3*((B*b^2*c + B*a*c^2)*m^14 + 110*(B*b^2*c + B*a*c^2)*m^13 + 5480*(B*b^2*c + B*a*c^2)*m^12 + 163600*(B*b^2*c + B*a*c^2)*m^11 + 3263622*(B*b^2*c + B*a*c^2)*m^10 + 45922260*(B*b^2*c + B*a*c^2)*m^9 + 468873140*(B*b^2*c + B*a*c^2)*m^8 + 3518896600*(B*b^2*c + B*a*c^2)*m^7 + 19442163553*(B*b^2*c + B*a*c^2)*m^6 + 78381575150*(B*b^2*c + B*a*c^2)*m^5 + 225856355580*(B*b^2*c + B*a*c^2)*m^4 + 130767436800*B*b^2*c + 130767436800*B*a*c^2 + 448249789800*(B*b^2*c + B*a*c^2)*m^3 + 574497805824*(B*b^2*c + B*a*c^2)*m^2 + 420839556480*(B*b^2*c + B*a*c^2)*m)*x^10 + ((C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^14 + 111*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^13 + 5581*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^12 + 168171*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^11 + 3386083*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^10 + 48083733*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^9 + 495342143*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^8 + 3749548713*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^7 + 20885191136*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^6 + 84836490456*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^5 + 246143692976*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^4 + 145297152000*C*b^3 + 435891456000*A*a*c^2 + 491520108816*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^3 + 633314724480*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m^2 + 435891456000*(2*C*a*b + A*b^2)*c + 465985094400*(C*b^3 + 3*A*a*c^2 + 3*(2*C*a*b + A*b^2)*c)*m)*x^9 + ((B*b^3 + 6*B*a*b*c)*m^14 + 112*(B*b^3 + 6*B*a*b*c)*m^13 + 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2*A*a*b)*c)*m^6 + 101420251688*(3*C*a*b^2 + A*b^3 + 3*(C*a^2 + 2*A*a*b)*c)*m^5 + 299730345264*(3*C*a*b^2 + A*b^3 + 3*(C*a^2 + 2*A*a*b)*c)*m^4 + 560431872000*C*a*b^2 + 186810624000*A*b^3 + 608700928752*(3*C*a*b^2 + A*b^3 + 3*(C*a^2 + 2*A*a*b)*c)*m^3 + 796089202560*(3*C*a*b^2 + A*b^3 + 3*(C*a^2 + 2*A*a*b)*c)*m^2 + 560431872000*(C*a^2 + 2*A*a*b)*c + 593193196800*(3*C*a*b^2 + A*b^3 + 3*(C*a^2 + 2*A*a*b)*c)*m)*x^7 + 3*((B*a*b^2 + B*a^2*c)*m^14 + 114*(B*a*b^2 + B*a^2*c)*m^13 + 5896*(B*a*b^2 + B*a^2*c)*m^12 + 183024*(B*a*b^2 + B*a^2*c)*m^11 + 3801478*(B*a*b^2 + B*a^2*c)*m^10 + 55749612*(B*a*b^2 + B*a^2*c)*m^9 + 593598068*(B*a*b^2 + B*a^2*c)*m^8 + 4646039592*(B*a*b^2 + B*a^2*c)*m^7 + 26754892001*(B*a*b^2 + B*a^2*c)*m^6 + 112273858674*(B*a*b^2 + B*a^2*c)*m^5 + 336028955036*(B*a*b^2 + B*a^2*c)*m^4 + 217945728000*B*a*b^2 + 217945728000*B*a^2*c + 690639615384*(B*a*b^2 + B*a^2*c)*m^3 + 913158011520*(B*a*b^2 + B*a^2*c)*m^2 + 686869545600*(B*a*b^2 + B*a^2*c)*m)*x^6 + 3*((C*a^2*b + A*a*b^2 + A*a^2*c)*m^14 + 115*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^13 + 6005*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^12 + 188375*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^11 + 3957747*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^10 + 58769745*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^9 + 634247015*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^8 + 5036392925*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^7 + 29449164928*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^6 + 125557386040*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^5 + 381885176880*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^4 + 261534873600*C*a^2*b + 261534873600*A*a*b^2 + 261534873600*A*a^2*c + 797387461200*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^3 + 1070058397824*(C*a^2*b + A*a*b^2 + A*a^2*c)*m^2 + 815525625600*(C*a^2*b + A*a*b^2 + A*a^2*c)*m)*x^5 + 3*(B*a^2*b*m^14 + 116*B*a^2*b*m^13 + 6116*B*a^2*b*m^12 + 193936*B*a^2*b*m^11 + 4123878*B*a^2*b*m^10 + 62062968*B*a^2*b*m^9 + 679843868*B*a^2*b*m^8 + 5488252528*B*a^2*b*m^7 + 32678119441*B*a^2*b*m^6 + 142090732916*B*a^2*b*m^5 + 441309175416*B*a^2*b*m^4 + 941576643936*B*a^2*b*m^3 + 1290689128080*B*a^2*b*m^2 + 1003061102400*B*a^2*b*m + 326918592000*B*a^2*b)*x^4 + ((C*a^3 + 3*A*a^2*b)*m^14 + 117*(C*a^3 + 3*A*a^2*b)*m^13 + 6229*(C*a^3 + 3*A*a^2*b)*m^12 + 199713*(C*a^3 + 3*A*a^2*b)*m^11 + 4300483*(C*a^3 + 3*A*a^2*b)*m^10 + 65657031*(C*a^3 + 3*A*a^2*b)*m^9 + 731124647*(C*a^3 + 3*A*a^2*b)*m^8 + 6014254059*(C*a^3 + 3*A*a^2*b)*m^7 + 36588367376*(C*a^3 + 3*A*a^2*b)*m^6 + 163038108552*(C*a^3 + 3*A*a^2*b)*m^5 + 520557781424*(C*a^3 + 3*A*a^2*b)*m^4 + 435891456000*C*a^3 + 1307674368000*A*a^2*b + 1145140001328*(C*a^3 + 3*A*a^2*b)*m^3 + 1621575699840*(C*a^3 + 3*A*a^2*b)*m^2 + 1301090515200*(C*a^3 + 3*A*a^2*b)*m)*x^3 + (B*a^3*m^14 + 118*B*a^3*m^13 + 6344*B*a^3*m^12 + 205712*B*a^3*m^11 + 4488198*B*a^3*m^10 + 69582084*B*a^3*m^9 + 788931572*B*a^3*m^8 + 6629764856*B*a^3*m^7 + 41371599841*B*a^3*m^6 + 190060010998*B*a^3*m^5 + 629552085084*B*a^3*m^4 + 1447709175432*B*a^3*m^3 + 2161577352960*B*a^3*m^2 + 1842662908800*B*a^3*m + 653837184000*B*a^3)*x^2 + (A*a^3*m^14 + 119*A*a^3*m^13 + 6461*A*a^3*m^12 + 211939*A*a^3*m^11 + 4687683*A*a^3*m^10 + 73870797*A*a^3*m^9 + 854224943*A*a^3*m^8 + 7353403057*A*a^3*m^7 + 47277726496*A*a^3*m^6 + 225525484184*A*a^3*m^5 + 784146622896*A*a^3*m^4 + 1922666722704*A*a^3*m^3 + 3134328981120*A*a^3*m^2 + 3031488633600*A*a^3*m + 1307674368000*A*a^3)*x)*(d*x)^m/(m^15 + 120*m^14 + 6580*m^13 + 218400*m^12 + 4899622*m^11 + 78558480*m^10 + 928095740*m^9 + 8207628000*m^8 + 54631129553*m^7 + 272803210680*m^6 + 1009672107080*m^5 + 2706813345600*m^4 + 5056995703824*m^3 + 6165817614720*m^2 + 4339163001600*m + 1307674368000)","B",0
38,1,1603,0,1.655865," ","integrate((d*x)^m*(C*x^2+B*x+A)*(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(C c^{2} m^{10} + 55 \, C c^{2} m^{9} + 1320 \, C c^{2} m^{8} + 18150 \, C c^{2} m^{7} + 157773 \, C c^{2} m^{6} + 902055 \, C c^{2} m^{5} + 3416930 \, C c^{2} m^{4} + 8409500 \, C c^{2} m^{3} + 12753576 \, C c^{2} m^{2} + 10628640 \, C c^{2} m + 3628800 \, C c^{2}\right)} x^{11} + {\left(B c^{2} m^{10} + 56 \, B c^{2} m^{9} + 1365 \, B c^{2} m^{8} + 19020 \, B c^{2} m^{7} + 167223 \, B c^{2} m^{6} + 965328 \, B c^{2} m^{5} + 3686255 \, B c^{2} m^{4} + 9133180 \, B c^{2} m^{3} + 13926276 \, B c^{2} m^{2} + 11655216 \, B c^{2} m + 3991680 \, B c^{2}\right)} x^{10} + {\left({\left(2 \, C b c + A c^{2}\right)} m^{10} + 57 \, {\left(2 \, C b c + A c^{2}\right)} m^{9} + 1412 \, {\left(2 \, C b c + A c^{2}\right)} m^{8} + 19962 \, {\left(2 \, C b c + A c^{2}\right)} m^{7} + 177765 \, {\left(2 \, C b c + A c^{2}\right)} m^{6} + 1037673 \, {\left(2 \, C b c + A c^{2}\right)} m^{5} + 4000478 \, {\left(2 \, C b c + A c^{2}\right)} m^{4} + 9991428 \, {\left(2 \, C b c + A c^{2}\right)} m^{3} + 8870400 \, C b c + 4435200 \, A c^{2} + 15335224 \, {\left(2 \, C b c + A c^{2}\right)} m^{2} + 12900960 \, {\left(2 \, C b c + A c^{2}\right)} m\right)} x^{9} + 2 \, {\left(B b c m^{10} + 58 \, B b c m^{9} + 1461 \, B b c m^{8} + 20982 \, B b c m^{7} + 189567 \, B b c m^{6} + 1121022 \, B b c m^{5} + 4371359 \, B b c m^{4} + 11024858 \, B b c m^{3} + 17059212 \, B b c m^{2} + 14444280 \, B b c m + 4989600 \, B b c\right)} x^{8} + {\left({\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{10} + 59 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{9} + 1512 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{8} + 22086 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{7} + 202821 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{6} + 1217811 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{5} + 4814858 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{4} + 12291724 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{3} + 5702400 \, C b^{2} + 19216008 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m^{2} + 11404800 \, {\left(C a + A b\right)} c + 16405920 \, {\left(C b^{2} + 2 \, {\left(C a + A b\right)} c\right)} m\right)} x^{7} + {\left({\left(B b^{2} + 2 \, B a c\right)} m^{10} + 60 \, {\left(B b^{2} + 2 \, B a c\right)} m^{9} + 1565 \, {\left(B b^{2} + 2 \, B a c\right)} m^{8} + 23280 \, {\left(B b^{2} + 2 \, B a c\right)} m^{7} + 217743 \, {\left(B b^{2} + 2 \, B a c\right)} m^{6} + 1331100 \, {\left(B b^{2} + 2 \, B a c\right)} m^{5} + 5352935 \, {\left(B b^{2} + 2 \, B a c\right)} m^{4} + 13878120 \, {\left(B b^{2} + 2 \, B a c\right)} m^{3} + 6652800 \, B b^{2} + 13305600 \, B a c + 21989356 \, {\left(B b^{2} + 2 \, B a c\right)} m^{2} + 18981840 \, {\left(B b^{2} + 2 \, B a c\right)} m\right)} x^{6} + {\left({\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{10} + 61 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{9} + 1620 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{8} + 24570 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{7} + 234573 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{6} + 1464693 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{5} + 6016070 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{4} + 15915380 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{3} + 15966720 \, C a b + 7983360 \, A b^{2} + 15966720 \, A a c + 25681176 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m^{2} + 22512096 \, {\left(2 \, C a b + A b^{2} + 2 \, A a c\right)} m\right)} x^{5} + 2 \, {\left(B a b m^{10} + 62 \, B a b m^{9} + 1677 \, B a b m^{8} + 25962 \, B a b m^{7} + 253575 \, B a b m^{6} + 1623258 \, B a b m^{5} + 6846503 \, B a b m^{4} + 18609718 \, B a b m^{3} + 30819204 \, B a b m^{2} + 27641160 \, B a b m + 9979200 \, B a b\right)} x^{4} + {\left({\left(C a^{2} + 2 \, A a b\right)} m^{10} + 63 \, {\left(C a^{2} + 2 \, A a b\right)} m^{9} + 1736 \, {\left(C a^{2} + 2 \, A a b\right)} m^{8} + 27462 \, {\left(C a^{2} + 2 \, A a b\right)} m^{7} + 275037 \, {\left(C a^{2} + 2 \, A a b\right)} m^{6} + 1812447 \, {\left(C a^{2} + 2 \, A a b\right)} m^{5} + 7902194 \, {\left(C a^{2} + 2 \, A a b\right)} m^{4} + 22289148 \, {\left(C a^{2} + 2 \, A a b\right)} m^{3} + 13305600 \, C a^{2} + 26611200 \, A a b + 38390632 \, {\left(C a^{2} + 2 \, A a b\right)} m^{2} + 35746080 \, {\left(C a^{2} + 2 \, A a b\right)} m\right)} x^{3} + {\left(B a^{2} m^{10} + 64 \, B a^{2} m^{9} + 1797 \, B a^{2} m^{8} + 29076 \, B a^{2} m^{7} + 299271 \, B a^{2} m^{6} + 2039016 \, B a^{2} m^{5} + 9261503 \, B a^{2} m^{4} + 27472724 \, B a^{2} m^{3} + 50312628 \, B a^{2} m^{2} + 50292720 \, B a^{2} m + 19958400 \, B a^{2}\right)} x^{2} + {\left(A a^{2} m^{10} + 65 \, A a^{2} m^{9} + 1860 \, A a^{2} m^{8} + 30810 \, A a^{2} m^{7} + 326613 \, A a^{2} m^{6} + 2310945 \, A a^{2} m^{5} + 11028590 \, A a^{2} m^{4} + 34967140 \, A a^{2} m^{3} + 70290936 \, A a^{2} m^{2} + 80627040 \, A a^{2} m + 39916800 \, A a^{2}\right)} x\right)} \left(d x\right)^{m}}{m^{11} + 66 \, m^{10} + 1925 \, m^{9} + 32670 \, m^{8} + 357423 \, m^{7} + 2637558 \, m^{6} + 13339535 \, m^{5} + 45995730 \, m^{4} + 105258076 \, m^{3} + 150917976 \, m^{2} + 120543840 \, m + 39916800}"," ",0,"((C*c^2*m^10 + 55*C*c^2*m^9 + 1320*C*c^2*m^8 + 18150*C*c^2*m^7 + 157773*C*c^2*m^6 + 902055*C*c^2*m^5 + 3416930*C*c^2*m^4 + 8409500*C*c^2*m^3 + 12753576*C*c^2*m^2 + 10628640*C*c^2*m + 3628800*C*c^2)*x^11 + (B*c^2*m^10 + 56*B*c^2*m^9 + 1365*B*c^2*m^8 + 19020*B*c^2*m^7 + 167223*B*c^2*m^6 + 965328*B*c^2*m^5 + 3686255*B*c^2*m^4 + 9133180*B*c^2*m^3 + 13926276*B*c^2*m^2 + 11655216*B*c^2*m + 3991680*B*c^2)*x^10 + ((2*C*b*c + A*c^2)*m^10 + 57*(2*C*b*c + A*c^2)*m^9 + 1412*(2*C*b*c + A*c^2)*m^8 + 19962*(2*C*b*c + A*c^2)*m^7 + 177765*(2*C*b*c + A*c^2)*m^6 + 1037673*(2*C*b*c + A*c^2)*m^5 + 4000478*(2*C*b*c + A*c^2)*m^4 + 9991428*(2*C*b*c + A*c^2)*m^3 + 8870400*C*b*c + 4435200*A*c^2 + 15335224*(2*C*b*c + A*c^2)*m^2 + 12900960*(2*C*b*c + A*c^2)*m)*x^9 + 2*(B*b*c*m^10 + 58*B*b*c*m^9 + 1461*B*b*c*m^8 + 20982*B*b*c*m^7 + 189567*B*b*c*m^6 + 1121022*B*b*c*m^5 + 4371359*B*b*c*m^4 + 11024858*B*b*c*m^3 + 17059212*B*b*c*m^2 + 14444280*B*b*c*m + 4989600*B*b*c)*x^8 + ((C*b^2 + 2*(C*a + A*b)*c)*m^10 + 59*(C*b^2 + 2*(C*a + A*b)*c)*m^9 + 1512*(C*b^2 + 2*(C*a + A*b)*c)*m^8 + 22086*(C*b^2 + 2*(C*a + A*b)*c)*m^7 + 202821*(C*b^2 + 2*(C*a + A*b)*c)*m^6 + 1217811*(C*b^2 + 2*(C*a + A*b)*c)*m^5 + 4814858*(C*b^2 + 2*(C*a + A*b)*c)*m^4 + 12291724*(C*b^2 + 2*(C*a + A*b)*c)*m^3 + 5702400*C*b^2 + 19216008*(C*b^2 + 2*(C*a + A*b)*c)*m^2 + 11404800*(C*a + A*b)*c + 16405920*(C*b^2 + 2*(C*a + A*b)*c)*m)*x^7 + ((B*b^2 + 2*B*a*c)*m^10 + 60*(B*b^2 + 2*B*a*c)*m^9 + 1565*(B*b^2 + 2*B*a*c)*m^8 + 23280*(B*b^2 + 2*B*a*c)*m^7 + 217743*(B*b^2 + 2*B*a*c)*m^6 + 1331100*(B*b^2 + 2*B*a*c)*m^5 + 5352935*(B*b^2 + 2*B*a*c)*m^4 + 13878120*(B*b^2 + 2*B*a*c)*m^3 + 6652800*B*b^2 + 13305600*B*a*c + 21989356*(B*b^2 + 2*B*a*c)*m^2 + 18981840*(B*b^2 + 2*B*a*c)*m)*x^6 + ((2*C*a*b + A*b^2 + 2*A*a*c)*m^10 + 61*(2*C*a*b + A*b^2 + 2*A*a*c)*m^9 + 1620*(2*C*a*b + A*b^2 + 2*A*a*c)*m^8 + 24570*(2*C*a*b + A*b^2 + 2*A*a*c)*m^7 + 234573*(2*C*a*b + A*b^2 + 2*A*a*c)*m^6 + 1464693*(2*C*a*b + A*b^2 + 2*A*a*c)*m^5 + 6016070*(2*C*a*b + A*b^2 + 2*A*a*c)*m^4 + 15915380*(2*C*a*b + A*b^2 + 2*A*a*c)*m^3 + 15966720*C*a*b + 7983360*A*b^2 + 15966720*A*a*c + 25681176*(2*C*a*b + A*b^2 + 2*A*a*c)*m^2 + 22512096*(2*C*a*b + A*b^2 + 2*A*a*c)*m)*x^5 + 2*(B*a*b*m^10 + 62*B*a*b*m^9 + 1677*B*a*b*m^8 + 25962*B*a*b*m^7 + 253575*B*a*b*m^6 + 1623258*B*a*b*m^5 + 6846503*B*a*b*m^4 + 18609718*B*a*b*m^3 + 30819204*B*a*b*m^2 + 27641160*B*a*b*m + 9979200*B*a*b)*x^4 + ((C*a^2 + 2*A*a*b)*m^10 + 63*(C*a^2 + 2*A*a*b)*m^9 + 1736*(C*a^2 + 2*A*a*b)*m^8 + 27462*(C*a^2 + 2*A*a*b)*m^7 + 275037*(C*a^2 + 2*A*a*b)*m^6 + 1812447*(C*a^2 + 2*A*a*b)*m^5 + 7902194*(C*a^2 + 2*A*a*b)*m^4 + 22289148*(C*a^2 + 2*A*a*b)*m^3 + 13305600*C*a^2 + 26611200*A*a*b + 38390632*(C*a^2 + 2*A*a*b)*m^2 + 35746080*(C*a^2 + 2*A*a*b)*m)*x^3 + (B*a^2*m^10 + 64*B*a^2*m^9 + 1797*B*a^2*m^8 + 29076*B*a^2*m^7 + 299271*B*a^2*m^6 + 2039016*B*a^2*m^5 + 9261503*B*a^2*m^4 + 27472724*B*a^2*m^3 + 50312628*B*a^2*m^2 + 50292720*B*a^2*m + 19958400*B*a^2)*x^2 + (A*a^2*m^10 + 65*A*a^2*m^9 + 1860*A*a^2*m^8 + 30810*A*a^2*m^7 + 326613*A*a^2*m^6 + 2310945*A*a^2*m^5 + 11028590*A*a^2*m^4 + 34967140*A*a^2*m^3 + 70290936*A*a^2*m^2 + 80627040*A*a^2*m + 39916800*A*a^2)*x)*(d*x)^m/(m^11 + 66*m^10 + 1925*m^9 + 32670*m^8 + 357423*m^7 + 2637558*m^6 + 13339535*m^5 + 45995730*m^4 + 105258076*m^3 + 150917976*m^2 + 120543840*m + 39916800)","B",0
39,1,444,0,1.291399," ","integrate((d*x)^m*(C*x^2+B*x+A)*(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{{\left({\left(C c m^{6} + 21 \, C c m^{5} + 175 \, C c m^{4} + 735 \, C c m^{3} + 1624 \, C c m^{2} + 1764 \, C c m + 720 \, C c\right)} x^{7} + {\left(B c m^{6} + 22 \, B c m^{5} + 190 \, B c m^{4} + 820 \, B c m^{3} + 1849 \, B c m^{2} + 2038 \, B c m + 840 \, B c\right)} x^{6} + {\left({\left(C b + A c\right)} m^{6} + 23 \, {\left(C b + A c\right)} m^{5} + 207 \, {\left(C b + A c\right)} m^{4} + 925 \, {\left(C b + A c\right)} m^{3} + 2144 \, {\left(C b + A c\right)} m^{2} + 1008 \, C b + 1008 \, A c + 2412 \, {\left(C b + A c\right)} m\right)} x^{5} + {\left(B b m^{6} + 24 \, B b m^{5} + 226 \, B b m^{4} + 1056 \, B b m^{3} + 2545 \, B b m^{2} + 2952 \, B b m + 1260 \, B b\right)} x^{4} + {\left({\left(C a + A b\right)} m^{6} + 25 \, {\left(C a + A b\right)} m^{5} + 247 \, {\left(C a + A b\right)} m^{4} + 1219 \, {\left(C a + A b\right)} m^{3} + 3112 \, {\left(C a + A b\right)} m^{2} + 1680 \, C a + 1680 \, A b + 3796 \, {\left(C a + A b\right)} m\right)} x^{3} + {\left(B a m^{6} + 26 \, B a m^{5} + 270 \, B a m^{4} + 1420 \, B a m^{3} + 3929 \, B a m^{2} + 5274 \, B a m + 2520 \, B a\right)} x^{2} + {\left(A a m^{6} + 27 \, A a m^{5} + 295 \, A a m^{4} + 1665 \, A a m^{3} + 5104 \, A a m^{2} + 8028 \, A a m + 5040 \, A a\right)} x\right)} \left(d x\right)^{m}}{m^{7} + 28 \, m^{6} + 322 \, m^{5} + 1960 \, m^{4} + 6769 \, m^{3} + 13132 \, m^{2} + 13068 \, m + 5040}"," ",0,"((C*c*m^6 + 21*C*c*m^5 + 175*C*c*m^4 + 735*C*c*m^3 + 1624*C*c*m^2 + 1764*C*c*m + 720*C*c)*x^7 + (B*c*m^6 + 22*B*c*m^5 + 190*B*c*m^4 + 820*B*c*m^3 + 1849*B*c*m^2 + 2038*B*c*m + 840*B*c)*x^6 + ((C*b + A*c)*m^6 + 23*(C*b + A*c)*m^5 + 207*(C*b + A*c)*m^4 + 925*(C*b + A*c)*m^3 + 2144*(C*b + A*c)*m^2 + 1008*C*b + 1008*A*c + 2412*(C*b + A*c)*m)*x^5 + (B*b*m^6 + 24*B*b*m^5 + 226*B*b*m^4 + 1056*B*b*m^3 + 2545*B*b*m^2 + 2952*B*b*m + 1260*B*b)*x^4 + ((C*a + A*b)*m^6 + 25*(C*a + A*b)*m^5 + 247*(C*a + A*b)*m^4 + 1219*(C*a + A*b)*m^3 + 3112*(C*a + A*b)*m^2 + 1680*C*a + 1680*A*b + 3796*(C*a + A*b)*m)*x^3 + (B*a*m^6 + 26*B*a*m^5 + 270*B*a*m^4 + 1420*B*a*m^3 + 3929*B*a*m^2 + 5274*B*a*m + 2520*B*a)*x^2 + (A*a*m^6 + 27*A*a*m^5 + 295*A*a*m^4 + 1665*A*a*m^3 + 5104*A*a*m^2 + 8028*A*a*m + 5040*A*a)*x)*(d*x)^m/(m^7 + 28*m^6 + 322*m^5 + 1960*m^4 + 6769*m^3 + 13132*m^2 + 13068*m + 5040)","B",0
40,0,0,0,1.189578," ","integrate((d*x)^m*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C x^{2} + B x + A\right)} \left(d x\right)^{m}}{c x^{4} + b x^{2} + a}, x\right)"," ",0,"integral((C*x^2 + B*x + A)*(d*x)^m/(c*x^4 + b*x^2 + a), x)","F",0
41,0,0,0,1.501439," ","integrate((d*x)^m*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C x^{2} + B x + A\right)} \left(d x\right)^{m}}{c^{2} x^{8} + 2 \, b c x^{6} + {\left(b^{2} + 2 \, a c\right)} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral((C*x^2 + B*x + A)*(d*x)^m/(c^2*x^8 + 2*b*c*x^6 + (b^2 + 2*a*c)*x^4 + 2*a*b*x^2 + a^2), x)","F",0
42,-1,0,0,0.000000," ","integrate(x^2*(C*x^2+B*x+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(x*(C*x^3+B*x^2+A*x)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,-1,0,0,0.000000," ","integrate((C*x^4+B*x^3+A*x^2)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((C*x^5+B*x^4+A*x^3)/x/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((C*x^6+B*x^5+A*x^4)/x^2/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,1,900,0,2.562199," ","integrate(x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)} f x^{8} + 4 \, {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} e - {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} f\right)} x^{6} + 6 \, {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d - {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} e + {\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} f\right)} x^{4} - 12 \, {\left({\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} d - {\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} e + {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} f\right)} x^{2} + 6 \, \sqrt{b^{2} - 4 \, a c} {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f\right)} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + 6 \, {\left({\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d - {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} e + {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{24 \, {\left(b^{2} c^{5} - 4 \, a c^{6}\right)}}, \frac{3 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)} f x^{8} + 4 \, {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} e - {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} f\right)} x^{6} + 6 \, {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d - {\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} e + {\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} f\right)} x^{4} - 12 \, {\left({\left(b^{3} c^{3} - 4 \, a b c^{4}\right)} d - {\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} e + {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} f\right)} x^{2} + 12 \, \sqrt{-b^{2} + 4 \, a c} {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f\right)} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + 6 \, {\left({\left(b^{4} c^{2} - 5 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d - {\left(b^{5} c - 6 \, a b^{3} c^{2} + 8 \, a^{2} b c^{3}\right)} e + {\left(b^{6} - 7 \, a b^{4} c + 13 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{24 \, {\left(b^{2} c^{5} - 4 \, a c^{6}\right)}}\right]"," ",0,"[1/24*(3*(b^2*c^4 - 4*a*c^5)*f*x^8 + 4*((b^2*c^4 - 4*a*c^5)*e - (b^3*c^3 - 4*a*b*c^4)*f)*x^6 + 6*((b^2*c^4 - 4*a*c^5)*d - (b^3*c^3 - 4*a*b*c^4)*e + (b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*f)*x^4 - 12*((b^3*c^3 - 4*a*b*c^4)*d - (b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*e + (b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*f)*x^2 + 6*sqrt(b^2 - 4*a*c)*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + 6*((b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*d - (b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*e + (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^5 - 4*a*c^6), 1/24*(3*(b^2*c^4 - 4*a*c^5)*f*x^8 + 4*((b^2*c^4 - 4*a*c^5)*e - (b^3*c^3 - 4*a*b*c^4)*f)*x^6 + 6*((b^2*c^4 - 4*a*c^5)*d - (b^3*c^3 - 4*a*b*c^4)*e + (b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*f)*x^4 - 12*((b^3*c^3 - 4*a*b*c^4)*d - (b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*e + (b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*f)*x^2 + 12*sqrt(-b^2 + 4*a*c)*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + 6*((b^4*c^2 - 5*a*b^2*c^3 + 4*a^2*c^4)*d - (b^5*c - 6*a*b^3*c^2 + 8*a^2*b*c^3)*e + (b^6 - 7*a*b^4*c + 13*a^2*b^2*c^2 - 4*a^3*c^3)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^5 - 4*a*c^6)]","A",0
48,1,677,0,2.387721," ","integrate(x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} f x^{6} + 3 \, {\left({\left(b^{2} c^{3} - 4 \, a c^{4}\right)} e - {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} f\right)} x^{4} + 6 \, {\left({\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d - {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} e + {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} f\right)} x^{2} + 3 \, \sqrt{b^{2} - 4 \, a c} {\left({\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d - {\left(b^{3} c - 3 \, a b c^{2}\right)} e + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} f\right)} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - 3 \, {\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d - {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{12 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)}}, \frac{2 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} f x^{6} + 3 \, {\left({\left(b^{2} c^{3} - 4 \, a c^{4}\right)} e - {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} f\right)} x^{4} + 6 \, {\left({\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d - {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} e + {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} f\right)} x^{2} - 6 \, \sqrt{-b^{2} + 4 \, a c} {\left({\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d - {\left(b^{3} c - 3 \, a b c^{2}\right)} e + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} f\right)} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - 3 \, {\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d - {\left(b^{4} c - 5 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{12 \, {\left(b^{2} c^{4} - 4 \, a c^{5}\right)}}\right]"," ",0,"[1/12*(2*(b^2*c^3 - 4*a*c^4)*f*x^6 + 3*((b^2*c^3 - 4*a*c^4)*e - (b^3*c^2 - 4*a*b*c^3)*f)*x^4 + 6*((b^2*c^3 - 4*a*c^4)*d - (b^3*c^2 - 4*a*b*c^3)*e + (b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*f)*x^2 + 3*sqrt(b^2 - 4*a*c)*((b^2*c^2 - 2*a*c^3)*d - (b^3*c - 3*a*b*c^2)*e + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*f)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - 3*((b^3*c^2 - 4*a*b*c^3)*d - (b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*e + (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^4 - 4*a*c^5), 1/12*(2*(b^2*c^3 - 4*a*c^4)*f*x^6 + 3*((b^2*c^3 - 4*a*c^4)*e - (b^3*c^2 - 4*a*b*c^3)*f)*x^4 + 6*((b^2*c^3 - 4*a*c^4)*d - (b^3*c^2 - 4*a*b*c^3)*e + (b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*f)*x^2 - 6*sqrt(-b^2 + 4*a*c)*((b^2*c^2 - 2*a*c^3)*d - (b^3*c - 3*a*b*c^2)*e + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*f)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - 3*((b^3*c^2 - 4*a*b*c^3)*d - (b^4*c - 5*a*b^2*c^2 + 4*a^2*c^3)*e + (b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^4 - 4*a*c^5)]","A",0
49,1,473,0,1.373273," ","integrate(x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} c^{2} - 4 \, a c^{3}\right)} f x^{4} + 2 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e - {\left(b^{3} c - 4 \, a b c^{2}\right)} f\right)} x^{2} - {\left(b c^{2} d - {\left(b^{2} c - 2 \, a c^{2}\right)} e + {\left(b^{3} - 3 \, a b c\right)} f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d - {\left(b^{3} c - 4 \, a b c^{2}\right)} e + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)}}, \frac{{\left(b^{2} c^{2} - 4 \, a c^{3}\right)} f x^{4} + 2 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e - {\left(b^{3} c - 4 \, a b c^{2}\right)} f\right)} x^{2} + 2 \, {\left(b c^{2} d - {\left(b^{2} c - 2 \, a c^{2}\right)} e + {\left(b^{3} - 3 \, a b c\right)} f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d - {\left(b^{3} c - 4 \, a b c^{2}\right)} e + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)}}\right]"," ",0,"[1/4*((b^2*c^2 - 4*a*c^3)*f*x^4 + 2*((b^2*c^2 - 4*a*c^3)*e - (b^3*c - 4*a*b*c^2)*f)*x^2 - (b*c^2*d - (b^2*c - 2*a*c^2)*e + (b^3 - 3*a*b*c)*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + ((b^2*c^2 - 4*a*c^3)*d - (b^3*c - 4*a*b*c^2)*e + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^3 - 4*a*c^4), 1/4*((b^2*c^2 - 4*a*c^3)*f*x^4 + 2*((b^2*c^2 - 4*a*c^3)*e - (b^3*c - 4*a*b*c^2)*f)*x^2 + 2*(b*c^2*d - (b^2*c - 2*a*c^2)*e + (b^3 - 3*a*b*c)*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + ((b^2*c^2 - 4*a*c^3)*d - (b^3*c - 4*a*b*c^2)*e + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^3 - 4*a*c^4)]","A",0
50,1,318,0,1.128149," ","integrate(x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} f x^{2} - {\left(2 \, c^{2} d - b c e + {\left(b^{2} - 2 \, a c\right)} f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e - {\left(b^{3} - 4 \, a b c\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)}}, \frac{2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} f x^{2} - 2 \, {\left(2 \, c^{2} d - b c e + {\left(b^{2} - 2 \, a c\right)} f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e - {\left(b^{3} - 4 \, a b c\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)}}\right]"," ",0,"[1/4*(2*(b^2*c - 4*a*c^2)*f*x^2 - (2*c^2*d - b*c*e + (b^2 - 2*a*c)*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + ((b^2*c - 4*a*c^2)*e - (b^3 - 4*a*b*c)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^2 - 4*a*c^3), 1/4*(2*(b^2*c - 4*a*c^2)*f*x^2 - 2*(2*c^2*d - b*c*e + (b^2 - 2*a*c)*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + ((b^2*c - 4*a*c^2)*e - (b^3 - 4*a*b*c)*f)*log(c*x^4 + b*x^2 + a))/(b^2*c^2 - 4*a*c^3)]","A",0
51,1,309,0,1.750424," ","integrate((f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d \log\left(x\right) + {\left(b c d - 2 \, a c e + a b f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)}}, \frac{4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d \log\left(x\right) + 2 \, {\left(b c d - 2 \, a c e + a b f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)}}\right]"," ",0,"[1/4*(4*(b^2*c - 4*a*c^2)*d*log(x) + (b*c*d - 2*a*c*e + a*b*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - ((b^2*c - 4*a*c^2)*d - (a*b^2 - 4*a^2*c)*f)*log(c*x^4 + b*x^2 + a))/(a*b^2*c - 4*a^2*c^2), 1/4*(4*(b^2*c - 4*a*c^2)*d*log(x) + 2*(b*c*d - 2*a*c*e + a*b*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - ((b^2*c - 4*a*c^2)*d - (a*b^2 - 4*a^2*c)*f)*log(c*x^4 + b*x^2 + a))/(a*b^2*c - 4*a^2*c^2)]","A",0
52,1,399,0,2.145295," ","integrate((f*x^4+e*x^2+d)/x^3/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[-\frac{{\left(a b e - 2 \, a^{2} f - {\left(b^{2} - 2 \, a c\right)} d\right)} \sqrt{b^{2} - 4 \, a c} x^{2} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - {\left({\left(b^{3} - 4 \, a b c\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} e\right)} x^{2} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(b^{3} - 4 \, a b c\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} e\right)} x^{2} \log\left(x\right) + 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d}{4 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} x^{2}}, \frac{2 \, {\left(a b e - 2 \, a^{2} f - {\left(b^{2} - 2 \, a c\right)} d\right)} \sqrt{-b^{2} + 4 \, a c} x^{2} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + {\left({\left(b^{3} - 4 \, a b c\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} e\right)} x^{2} \log\left(c x^{4} + b x^{2} + a\right) - 4 \, {\left({\left(b^{3} - 4 \, a b c\right)} d - {\left(a b^{2} - 4 \, a^{2} c\right)} e\right)} x^{2} \log\left(x\right) - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d}{4 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} x^{2}}\right]"," ",0,"[-1/4*((a*b*e - 2*a^2*f - (b^2 - 2*a*c)*d)*sqrt(b^2 - 4*a*c)*x^2*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - ((b^3 - 4*a*b*c)*d - (a*b^2 - 4*a^2*c)*e)*x^2*log(c*x^4 + b*x^2 + a) + 4*((b^3 - 4*a*b*c)*d - (a*b^2 - 4*a^2*c)*e)*x^2*log(x) + 2*(a*b^2 - 4*a^2*c)*d)/((a^2*b^2 - 4*a^3*c)*x^2), 1/4*(2*(a*b*e - 2*a^2*f - (b^2 - 2*a*c)*d)*sqrt(-b^2 + 4*a*c)*x^2*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + ((b^3 - 4*a*b*c)*d - (a*b^2 - 4*a^2*c)*e)*x^2*log(c*x^4 + b*x^2 + a) - 4*((b^3 - 4*a*b*c)*d - (a*b^2 - 4*a^2*c)*e)*x^2*log(x) - 2*(a*b^2 - 4*a^2*c)*d)/((a^2*b^2 - 4*a^3*c)*x^2)]","A",0
53,1,609,0,3.383897," ","integrate((f*x^4+e*x^2+d)/x^5/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{{\left(a^{2} b f + {\left(b^{3} - 3 \, a b c\right)} d - {\left(a b^{2} - 2 \, a^{2} c\right)} e\right)} \sqrt{b^{2} - 4 \, a c} x^{4} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 4 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} f\right)} x^{4} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 4 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} f\right)} x^{4} \log\left(x\right) + 2 \, {\left({\left(a b^{3} - 4 \, a^{2} b c\right)} d - {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e\right)} x^{2} - {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} d}{4 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x^{4}}, \frac{2 \, {\left(a^{2} b f + {\left(b^{3} - 3 \, a b c\right)} d - {\left(a b^{2} - 2 \, a^{2} c\right)} e\right)} \sqrt{-b^{2} + 4 \, a c} x^{4} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 4 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} f\right)} x^{4} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 4 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} f\right)} x^{4} \log\left(x\right) + 2 \, {\left({\left(a b^{3} - 4 \, a^{2} b c\right)} d - {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e\right)} x^{2} - {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} d}{4 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x^{4}}\right]"," ",0,"[1/4*((a^2*b*f + (b^3 - 3*a*b*c)*d - (a*b^2 - 2*a^2*c)*e)*sqrt(b^2 - 4*a*c)*x^4*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - ((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d - (a*b^3 - 4*a^2*b*c)*e + (a^2*b^2 - 4*a^3*c)*f)*x^4*log(c*x^4 + b*x^2 + a) + 4*((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d - (a*b^3 - 4*a^2*b*c)*e + (a^2*b^2 - 4*a^3*c)*f)*x^4*log(x) + 2*((a*b^3 - 4*a^2*b*c)*d - (a^2*b^2 - 4*a^3*c)*e)*x^2 - (a^2*b^2 - 4*a^3*c)*d)/((a^3*b^2 - 4*a^4*c)*x^4), 1/4*(2*(a^2*b*f + (b^3 - 3*a*b*c)*d - (a*b^2 - 2*a^2*c)*e)*sqrt(-b^2 + 4*a*c)*x^4*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - ((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d - (a*b^3 - 4*a^2*b*c)*e + (a^2*b^2 - 4*a^3*c)*f)*x^4*log(c*x^4 + b*x^2 + a) + 4*((b^4 - 5*a*b^2*c + 4*a^2*c^2)*d - (a*b^3 - 4*a^2*b*c)*e + (a^2*b^2 - 4*a^3*c)*f)*x^4*log(x) + 2*((a*b^3 - 4*a^2*b*c)*d - (a^2*b^2 - 4*a^3*c)*e)*x^2 - (a^2*b^2 - 4*a^3*c)*d)/((a^3*b^2 - 4*a^4*c)*x^4)]","A",0
54,1,834,0,6.638896," ","integrate((f*x^4+e*x^2+d)/x^7/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[-\frac{3 \, \sqrt{b^{2} - 4 \, a c} {\left({\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 3 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} f\right)} x^{6} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - 3 \, {\left({\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} d - {\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{6} \log\left(c x^{4} + b x^{2} + a\right) + 12 \, {\left({\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} d - {\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{6} \log\left(x\right) + 6 \, {\left({\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} e + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} f\right)} x^{4} - 3 \, {\left({\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} e\right)} x^{2} + 2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d}{12 \, {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} x^{6}}, -\frac{6 \, \sqrt{-b^{2} + 4 \, a c} {\left({\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d - {\left(a b^{3} - 3 \, a^{2} b c\right)} e + {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} f\right)} x^{6} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - 3 \, {\left({\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} d - {\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{6} \log\left(c x^{4} + b x^{2} + a\right) + 12 \, {\left({\left(b^{5} - 6 \, a b^{3} c + 8 \, a^{2} b c^{2}\right)} d - {\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{6} \log\left(x\right) + 6 \, {\left({\left(a b^{4} - 5 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} e + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} f\right)} x^{4} - 3 \, {\left({\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} e\right)} x^{2} + 2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d}{12 \, {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} x^{6}}\right]"," ",0,"[-1/12*(3*sqrt(b^2 - 4*a*c)*((b^4 - 4*a*b^2*c + 2*a^2*c^2)*d - (a*b^3 - 3*a^2*b*c)*e + (a^2*b^2 - 2*a^3*c)*f)*x^6*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - 3*((b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*d - (a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^6*log(c*x^4 + b*x^2 + a) + 12*((b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*d - (a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^6*log(x) + 6*((a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 - 4*a^3*b*c)*e + (a^3*b^2 - 4*a^4*c)*f)*x^4 - 3*((a^2*b^3 - 4*a^3*b*c)*d - (a^3*b^2 - 4*a^4*c)*e)*x^2 + 2*(a^3*b^2 - 4*a^4*c)*d)/((a^4*b^2 - 4*a^5*c)*x^6), -1/12*(6*sqrt(-b^2 + 4*a*c)*((b^4 - 4*a*b^2*c + 2*a^2*c^2)*d - (a*b^3 - 3*a^2*b*c)*e + (a^2*b^2 - 2*a^3*c)*f)*x^6*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - 3*((b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*d - (a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^6*log(c*x^4 + b*x^2 + a) + 12*((b^5 - 6*a*b^3*c + 8*a^2*b*c^2)*d - (a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^6*log(x) + 6*((a*b^4 - 5*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 - 4*a^3*b*c)*e + (a^3*b^2 - 4*a^4*c)*f)*x^4 - 3*((a^2*b^3 - 4*a^3*b*c)*d - (a^3*b^2 - 4*a^4*c)*e)*x^2 + 2*(a^3*b^2 - 4*a^4*c)*d)/((a^4*b^2 - 4*a^5*c)*x^6)]","A",0
55,1,15467,0,42.586221," ","integrate(x^4*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{6 \, c^{2} f x^{5} - 15 \, \sqrt{\frac{1}{2}} c^{3} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}} \log\left(-2 \, {\left({\left(a b^{2} c^{6} - a^{2} c^{7}\right)} d^{4} - {\left(3 \, a b^{3} c^{5} - 5 \, a^{2} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{4} - 2 \, a^{2} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(a b^{5} c^{3} - a^{2} b^{3} c^{4} - 3 \, a^{3} b c^{5}\right)} d e^{3} + {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{2} c^{4} + a^{4} c^{5}\right)} e^{4} + {\left(a^{3} b^{6} - 5 \, a^{4} b^{4} c + 6 \, a^{5} b^{2} c^{2} - a^{6} c^{3}\right)} f^{4} + {\left({\left(a b^{8} - 7 \, a^{2} b^{6} c + 18 \, a^{3} b^{4} c^{2} - 19 \, a^{4} b^{2} c^{3} + 4 \, a^{5} c^{4}\right)} d - {\left(a^{2} b^{7} - 3 \, a^{3} b^{5} c - 2 \, a^{4} b^{3} c^{2} + 5 \, a^{5} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a b^{6} c^{2} - 5 \, a^{2} b^{4} c^{3} + 7 \, a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5}\right)} d^{2} - {\left(a b^{7} c - 5 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{3} c^{3} - 5 \, a^{4} b c^{4}\right)} d e + {\left(a^{2} b^{6} c - 4 \, a^{3} b^{4} c^{2} + 3 \, a^{4} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, a b^{4} c^{4} - 9 \, a^{2} b^{2} c^{5} + 4 \, a^{3} c^{6}\right)} d^{3} - 3 \, {\left(2 \, a b^{5} c^{3} - 7 \, a^{2} b^{3} c^{4} + 5 \, a^{3} b c^{5}\right)} d^{2} e + 3 \, {\left(a b^{6} c^{2} - 3 \, a^{2} b^{4} c^{3} + a^{3} b^{2} c^{4}\right)} d e^{2} - {\left(3 \, a^{2} b^{5} c^{2} - 11 \, a^{3} b^{3} c^{3} + 7 \, a^{4} b c^{4}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{4} c^{6} - 5 \, a b^{2} c^{7} + 4 \, a^{2} c^{8}\right)} d^{3} - {\left(3 \, b^{5} c^{5} - 17 \, a b^{3} c^{6} + 20 \, a^{2} b c^{7}\right)} d^{2} e + {\left(3 \, b^{6} c^{4} - 19 \, a b^{4} c^{5} + 29 \, a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 7 \, a b^{5} c^{4} + 13 \, a^{2} b^{3} c^{5} - 4 \, a^{3} b c^{6}\right)} e^{3} + {\left(b^{10} - 10 \, a b^{8} c + 35 \, a^{2} b^{6} c^{2} - 51 \, a^{3} b^{4} c^{3} + 29 \, a^{4} b^{2} c^{4} - 4 \, a^{5} c^{5}\right)} f^{3} + {\left({\left(3 \, b^{8} c^{2} - 25 \, a b^{6} c^{3} + 66 \, a^{2} b^{4} c^{4} - 59 \, a^{3} b^{2} c^{5} + 12 \, a^{4} c^{6}\right)} d - {\left(3 \, b^{9} c - 27 \, a b^{7} c^{2} + 80 \, a^{2} b^{5} c^{3} - 87 \, a^{3} b^{3} c^{4} + 28 \, a^{4} b c^{5}\right)} e\right)} f^{2} + {\left({\left(3 \, b^{6} c^{4} - 20 \, a b^{4} c^{5} + 35 \, a^{2} b^{2} c^{6} - 12 \, a^{3} c^{7}\right)} d^{2} - 2 \, {\left(3 \, b^{7} c^{3} - 22 \, a b^{5} c^{4} + 46 \, a^{2} b^{3} c^{5} - 24 \, a^{3} b c^{6}\right)} d e + {\left(3 \, b^{8} c^{2} - 24 \, a b^{6} c^{3} + 58 \, a^{2} b^{4} c^{4} - 41 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} e^{2}\right)} f - {\left({\left(b^{3} c^{9} - 4 \, a b c^{10}\right)} d - {\left(b^{4} c^{8} - 6 \, a b^{2} c^{9} + 8 \, a^{2} c^{10}\right)} e + {\left(b^{5} c^{7} - 7 \, a b^{3} c^{8} + 12 \, a^{2} b c^{9}\right)} f\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}}\right) + 15 \, \sqrt{\frac{1}{2}} c^{3} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}} \log\left(-2 \, {\left({\left(a b^{2} c^{6} - a^{2} c^{7}\right)} d^{4} - {\left(3 \, a b^{3} c^{5} - 5 \, a^{2} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{4} - 2 \, a^{2} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(a b^{5} c^{3} - a^{2} b^{3} c^{4} - 3 \, a^{3} b c^{5}\right)} d e^{3} + {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{2} c^{4} + a^{4} c^{5}\right)} e^{4} + {\left(a^{3} b^{6} - 5 \, a^{4} b^{4} c + 6 \, a^{5} b^{2} c^{2} - a^{6} c^{3}\right)} f^{4} + {\left({\left(a b^{8} - 7 \, a^{2} b^{6} c + 18 \, a^{3} b^{4} c^{2} - 19 \, a^{4} b^{2} c^{3} + 4 \, a^{5} c^{4}\right)} d - {\left(a^{2} b^{7} - 3 \, a^{3} b^{5} c - 2 \, a^{4} b^{3} c^{2} + 5 \, a^{5} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a b^{6} c^{2} - 5 \, a^{2} b^{4} c^{3} + 7 \, a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5}\right)} d^{2} - {\left(a b^{7} c - 5 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{3} c^{3} - 5 \, a^{4} b c^{4}\right)} d e + {\left(a^{2} b^{6} c - 4 \, a^{3} b^{4} c^{2} + 3 \, a^{4} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, a b^{4} c^{4} - 9 \, a^{2} b^{2} c^{5} + 4 \, a^{3} c^{6}\right)} d^{3} - 3 \, {\left(2 \, a b^{5} c^{3} - 7 \, a^{2} b^{3} c^{4} + 5 \, a^{3} b c^{5}\right)} d^{2} e + 3 \, {\left(a b^{6} c^{2} - 3 \, a^{2} b^{4} c^{3} + a^{3} b^{2} c^{4}\right)} d e^{2} - {\left(3 \, a^{2} b^{5} c^{2} - 11 \, a^{3} b^{3} c^{3} + 7 \, a^{4} b c^{4}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{4} c^{6} - 5 \, a b^{2} c^{7} + 4 \, a^{2} c^{8}\right)} d^{3} - {\left(3 \, b^{5} c^{5} - 17 \, a b^{3} c^{6} + 20 \, a^{2} b c^{7}\right)} d^{2} e + {\left(3 \, b^{6} c^{4} - 19 \, a b^{4} c^{5} + 29 \, a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 7 \, a b^{5} c^{4} + 13 \, a^{2} b^{3} c^{5} - 4 \, a^{3} b c^{6}\right)} e^{3} + {\left(b^{10} - 10 \, a b^{8} c + 35 \, a^{2} b^{6} c^{2} - 51 \, a^{3} b^{4} c^{3} + 29 \, a^{4} b^{2} c^{4} - 4 \, a^{5} c^{5}\right)} f^{3} + {\left({\left(3 \, b^{8} c^{2} - 25 \, a b^{6} c^{3} + 66 \, a^{2} b^{4} c^{4} - 59 \, a^{3} b^{2} c^{5} + 12 \, a^{4} c^{6}\right)} d - {\left(3 \, b^{9} c - 27 \, a b^{7} c^{2} + 80 \, a^{2} b^{5} c^{3} - 87 \, a^{3} b^{3} c^{4} + 28 \, a^{4} b c^{5}\right)} e\right)} f^{2} + {\left({\left(3 \, b^{6} c^{4} - 20 \, a b^{4} c^{5} + 35 \, a^{2} b^{2} c^{6} - 12 \, a^{3} c^{7}\right)} d^{2} - 2 \, {\left(3 \, b^{7} c^{3} - 22 \, a b^{5} c^{4} + 46 \, a^{2} b^{3} c^{5} - 24 \, a^{3} b c^{6}\right)} d e + {\left(3 \, b^{8} c^{2} - 24 \, a b^{6} c^{3} + 58 \, a^{2} b^{4} c^{4} - 41 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} e^{2}\right)} f - {\left({\left(b^{3} c^{9} - 4 \, a b c^{10}\right)} d - {\left(b^{4} c^{8} - 6 \, a b^{2} c^{9} + 8 \, a^{2} c^{10}\right)} e + {\left(b^{5} c^{7} - 7 \, a b^{3} c^{8} + 12 \, a^{2} b c^{9}\right)} f\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}}\right) - 15 \, \sqrt{\frac{1}{2}} c^{3} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}} \log\left(-2 \, {\left({\left(a b^{2} c^{6} - a^{2} c^{7}\right)} d^{4} - {\left(3 \, a b^{3} c^{5} - 5 \, a^{2} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{4} - 2 \, a^{2} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(a b^{5} c^{3} - a^{2} b^{3} c^{4} - 3 \, a^{3} b c^{5}\right)} d e^{3} + {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{2} c^{4} + a^{4} c^{5}\right)} e^{4} + {\left(a^{3} b^{6} - 5 \, a^{4} b^{4} c + 6 \, a^{5} b^{2} c^{2} - a^{6} c^{3}\right)} f^{4} + {\left({\left(a b^{8} - 7 \, a^{2} b^{6} c + 18 \, a^{3} b^{4} c^{2} - 19 \, a^{4} b^{2} c^{3} + 4 \, a^{5} c^{4}\right)} d - {\left(a^{2} b^{7} - 3 \, a^{3} b^{5} c - 2 \, a^{4} b^{3} c^{2} + 5 \, a^{5} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a b^{6} c^{2} - 5 \, a^{2} b^{4} c^{3} + 7 \, a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5}\right)} d^{2} - {\left(a b^{7} c - 5 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{3} c^{3} - 5 \, a^{4} b c^{4}\right)} d e + {\left(a^{2} b^{6} c - 4 \, a^{3} b^{4} c^{2} + 3 \, a^{4} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, a b^{4} c^{4} - 9 \, a^{2} b^{2} c^{5} + 4 \, a^{3} c^{6}\right)} d^{3} - 3 \, {\left(2 \, a b^{5} c^{3} - 7 \, a^{2} b^{3} c^{4} + 5 \, a^{3} b c^{5}\right)} d^{2} e + 3 \, {\left(a b^{6} c^{2} - 3 \, a^{2} b^{4} c^{3} + a^{3} b^{2} c^{4}\right)} d e^{2} - {\left(3 \, a^{2} b^{5} c^{2} - 11 \, a^{3} b^{3} c^{3} + 7 \, a^{4} b c^{4}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{4} c^{6} - 5 \, a b^{2} c^{7} + 4 \, a^{2} c^{8}\right)} d^{3} - {\left(3 \, b^{5} c^{5} - 17 \, a b^{3} c^{6} + 20 \, a^{2} b c^{7}\right)} d^{2} e + {\left(3 \, b^{6} c^{4} - 19 \, a b^{4} c^{5} + 29 \, a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 7 \, a b^{5} c^{4} + 13 \, a^{2} b^{3} c^{5} - 4 \, a^{3} b c^{6}\right)} e^{3} + {\left(b^{10} - 10 \, a b^{8} c + 35 \, a^{2} b^{6} c^{2} - 51 \, a^{3} b^{4} c^{3} + 29 \, a^{4} b^{2} c^{4} - 4 \, a^{5} c^{5}\right)} f^{3} + {\left({\left(3 \, b^{8} c^{2} - 25 \, a b^{6} c^{3} + 66 \, a^{2} b^{4} c^{4} - 59 \, a^{3} b^{2} c^{5} + 12 \, a^{4} c^{6}\right)} d - {\left(3 \, b^{9} c - 27 \, a b^{7} c^{2} + 80 \, a^{2} b^{5} c^{3} - 87 \, a^{3} b^{3} c^{4} + 28 \, a^{4} b c^{5}\right)} e\right)} f^{2} + {\left({\left(3 \, b^{6} c^{4} - 20 \, a b^{4} c^{5} + 35 \, a^{2} b^{2} c^{6} - 12 \, a^{3} c^{7}\right)} d^{2} - 2 \, {\left(3 \, b^{7} c^{3} - 22 \, a b^{5} c^{4} + 46 \, a^{2} b^{3} c^{5} - 24 \, a^{3} b c^{6}\right)} d e + {\left(3 \, b^{8} c^{2} - 24 \, a b^{6} c^{3} + 58 \, a^{2} b^{4} c^{4} - 41 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} e^{2}\right)} f + {\left({\left(b^{3} c^{9} - 4 \, a b c^{10}\right)} d - {\left(b^{4} c^{8} - 6 \, a b^{2} c^{9} + 8 \, a^{2} c^{10}\right)} e + {\left(b^{5} c^{7} - 7 \, a b^{3} c^{8} + 12 \, a^{2} b c^{9}\right)} f\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}}\right) + 15 \, \sqrt{\frac{1}{2}} c^{3} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}} \log\left(-2 \, {\left({\left(a b^{2} c^{6} - a^{2} c^{7}\right)} d^{4} - {\left(3 \, a b^{3} c^{5} - 5 \, a^{2} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{4} - 2 \, a^{2} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(a b^{5} c^{3} - a^{2} b^{3} c^{4} - 3 \, a^{3} b c^{5}\right)} d e^{3} + {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{2} c^{4} + a^{4} c^{5}\right)} e^{4} + {\left(a^{3} b^{6} - 5 \, a^{4} b^{4} c + 6 \, a^{5} b^{2} c^{2} - a^{6} c^{3}\right)} f^{4} + {\left({\left(a b^{8} - 7 \, a^{2} b^{6} c + 18 \, a^{3} b^{4} c^{2} - 19 \, a^{4} b^{2} c^{3} + 4 \, a^{5} c^{4}\right)} d - {\left(a^{2} b^{7} - 3 \, a^{3} b^{5} c - 2 \, a^{4} b^{3} c^{2} + 5 \, a^{5} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a b^{6} c^{2} - 5 \, a^{2} b^{4} c^{3} + 7 \, a^{3} b^{2} c^{4} - 2 \, a^{4} c^{5}\right)} d^{2} - {\left(a b^{7} c - 5 \, a^{2} b^{5} c^{2} + 8 \, a^{3} b^{3} c^{3} - 5 \, a^{4} b c^{4}\right)} d e + {\left(a^{2} b^{6} c - 4 \, a^{3} b^{4} c^{2} + 3 \, a^{4} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, a b^{4} c^{4} - 9 \, a^{2} b^{2} c^{5} + 4 \, a^{3} c^{6}\right)} d^{3} - 3 \, {\left(2 \, a b^{5} c^{3} - 7 \, a^{2} b^{3} c^{4} + 5 \, a^{3} b c^{5}\right)} d^{2} e + 3 \, {\left(a b^{6} c^{2} - 3 \, a^{2} b^{4} c^{3} + a^{3} b^{2} c^{4}\right)} d e^{2} - {\left(3 \, a^{2} b^{5} c^{2} - 11 \, a^{3} b^{3} c^{3} + 7 \, a^{4} b c^{4}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{4} c^{6} - 5 \, a b^{2} c^{7} + 4 \, a^{2} c^{8}\right)} d^{3} - {\left(3 \, b^{5} c^{5} - 17 \, a b^{3} c^{6} + 20 \, a^{2} b c^{7}\right)} d^{2} e + {\left(3 \, b^{6} c^{4} - 19 \, a b^{4} c^{5} + 29 \, a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 7 \, a b^{5} c^{4} + 13 \, a^{2} b^{3} c^{5} - 4 \, a^{3} b c^{6}\right)} e^{3} + {\left(b^{10} - 10 \, a b^{8} c + 35 \, a^{2} b^{6} c^{2} - 51 \, a^{3} b^{4} c^{3} + 29 \, a^{4} b^{2} c^{4} - 4 \, a^{5} c^{5}\right)} f^{3} + {\left({\left(3 \, b^{8} c^{2} - 25 \, a b^{6} c^{3} + 66 \, a^{2} b^{4} c^{4} - 59 \, a^{3} b^{2} c^{5} + 12 \, a^{4} c^{6}\right)} d - {\left(3 \, b^{9} c - 27 \, a b^{7} c^{2} + 80 \, a^{2} b^{5} c^{3} - 87 \, a^{3} b^{3} c^{4} + 28 \, a^{4} b c^{5}\right)} e\right)} f^{2} + {\left({\left(3 \, b^{6} c^{4} - 20 \, a b^{4} c^{5} + 35 \, a^{2} b^{2} c^{6} - 12 \, a^{3} c^{7}\right)} d^{2} - 2 \, {\left(3 \, b^{7} c^{3} - 22 \, a b^{5} c^{4} + 46 \, a^{2} b^{3} c^{5} - 24 \, a^{3} b c^{6}\right)} d e + {\left(3 \, b^{8} c^{2} - 24 \, a b^{6} c^{3} + 58 \, a^{2} b^{4} c^{4} - 41 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} e^{2}\right)} f + {\left({\left(b^{3} c^{9} - 4 \, a b c^{10}\right)} d - {\left(b^{4} c^{8} - 6 \, a b^{2} c^{9} + 8 \, a^{2} c^{10}\right)} e + {\left(b^{5} c^{7} - 7 \, a b^{3} c^{8} + 12 \, a^{2} b c^{9}\right)} f\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} - 3 \, a b c^{5}\right)} d^{2} - 2 \, {\left(b^{4} c^{3} - 4 \, a b^{2} c^{4} + 2 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} e^{2} + {\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} f^{2} + 2 \, {\left({\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 5 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 6 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 2 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} \sqrt{\frac{{\left(b^{4} c^{8} - 2 \, a b^{2} c^{9} + a^{2} c^{10}\right)} d^{4} - 4 \, {\left(b^{5} c^{7} - 3 \, a b^{3} c^{8} + 2 \, a^{2} b c^{9}\right)} d^{3} e + 2 \, {\left(3 \, b^{6} c^{6} - 12 \, a b^{4} c^{7} + 12 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{2} e^{2} - 4 \, {\left(b^{7} c^{5} - 5 \, a b^{5} c^{6} + 7 \, a^{2} b^{3} c^{7} - 2 \, a^{3} b c^{8}\right)} d e^{3} + {\left(b^{8} c^{4} - 6 \, a b^{6} c^{5} + 11 \, a^{2} b^{4} c^{6} - 6 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} e^{4} + {\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} f^{4} + 4 \, {\left({\left(b^{10} c^{2} - 8 \, a b^{8} c^{3} + 22 \, a^{2} b^{6} c^{4} - 24 \, a^{3} b^{4} c^{5} + 9 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} d - {\left(b^{11} c - 9 \, a b^{9} c^{2} + 29 \, a^{2} b^{7} c^{3} - 40 \, a^{3} b^{5} c^{4} + 22 \, a^{4} b^{3} c^{5} - 3 \, a^{5} b c^{6}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 19 \, a^{3} b^{2} c^{7} + 3 \, a^{4} c^{8}\right)} d^{2} - 2 \, {\left(3 \, b^{9} c^{3} - 21 \, a b^{7} c^{4} + 48 \, a^{2} b^{5} c^{5} - 39 \, a^{3} b^{3} c^{6} + 8 \, a^{4} b c^{7}\right)} d e + {\left(3 \, b^{10} c^{2} - 24 \, a b^{8} c^{3} + 66 \, a^{2} b^{6} c^{4} - 72 \, a^{3} b^{4} c^{5} + 27 \, a^{4} b^{2} c^{6} - a^{5} c^{7}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{6} c^{6} - 4 \, a b^{4} c^{7} + 4 \, a^{2} b^{2} c^{8} - a^{3} c^{9}\right)} d^{3} - {\left(3 \, b^{7} c^{5} - 15 \, a b^{5} c^{6} + 21 \, a^{2} b^{3} c^{7} - 7 \, a^{3} b c^{8}\right)} d^{2} e + {\left(3 \, b^{8} c^{4} - 18 \, a b^{6} c^{5} + 33 \, a^{2} b^{4} c^{6} - 18 \, a^{3} b^{2} c^{7} + a^{4} c^{8}\right)} d e^{2} - {\left(b^{9} c^{3} - 7 \, a b^{7} c^{4} + 16 \, a^{2} b^{5} c^{5} - 13 \, a^{3} b^{3} c^{6} + 3 \, a^{4} b c^{7}\right)} e^{3}\right)} f}{b^{2} c^{14} - 4 \, a c^{15}}}}{b^{2} c^{7} - 4 \, a c^{8}}}\right) + 10 \, {\left(c^{2} e - b c f\right)} x^{3} + 30 \, {\left(c^{2} d - b c e + {\left(b^{2} - a c\right)} f\right)} x}{30 \, c^{3}}"," ",0,"1/30*(6*c^2*f*x^5 - 15*sqrt(1/2)*c^3*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f + (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))*log(-2*((a*b^2*c^6 - a^2*c^7)*d^4 - (3*a*b^3*c^5 - 5*a^2*b*c^6)*d^3*e + 3*(a*b^4*c^4 - 2*a^2*b^2*c^5)*d^2*e^2 - (a*b^5*c^3 - a^2*b^3*c^4 - 3*a^3*b*c^5)*d*e^3 + (a^2*b^4*c^3 - 3*a^3*b^2*c^4 + a^4*c^5)*e^4 + (a^3*b^6 - 5*a^4*b^4*c + 6*a^5*b^2*c^2 - a^6*c^3)*f^4 + ((a*b^8 - 7*a^2*b^6*c + 18*a^3*b^4*c^2 - 19*a^4*b^2*c^3 + 4*a^5*c^4)*d - (a^2*b^7 - 3*a^3*b^5*c - 2*a^4*b^3*c^2 + 5*a^5*b*c^3)*e)*f^3 + 3*((a*b^6*c^2 - 5*a^2*b^4*c^3 + 7*a^3*b^2*c^4 - 2*a^4*c^5)*d^2 - (a*b^7*c - 5*a^2*b^5*c^2 + 8*a^3*b^3*c^3 - 5*a^4*b*c^4)*d*e + (a^2*b^6*c - 4*a^3*b^4*c^2 + 3*a^4*b^2*c^3)*e^2)*f^2 + ((3*a*b^4*c^4 - 9*a^2*b^2*c^5 + 4*a^3*c^6)*d^3 - 3*(2*a*b^5*c^3 - 7*a^2*b^3*c^4 + 5*a^3*b*c^5)*d^2*e + 3*(a*b^6*c^2 - 3*a^2*b^4*c^3 + a^3*b^2*c^4)*d*e^2 - (3*a^2*b^5*c^2 - 11*a^3*b^3*c^3 + 7*a^4*b*c^4)*e^3)*f)*x + sqrt(1/2)*((b^4*c^6 - 5*a*b^2*c^7 + 4*a^2*c^8)*d^3 - (3*b^5*c^5 - 17*a*b^3*c^6 + 20*a^2*b*c^7)*d^2*e + (3*b^6*c^4 - 19*a*b^4*c^5 + 29*a^2*b^2*c^6 - 4*a^3*c^7)*d*e^2 - (b^7*c^3 - 7*a*b^5*c^4 + 13*a^2*b^3*c^5 - 4*a^3*b*c^6)*e^3 + (b^10 - 10*a*b^8*c + 35*a^2*b^6*c^2 - 51*a^3*b^4*c^3 + 29*a^4*b^2*c^4 - 4*a^5*c^5)*f^3 + ((3*b^8*c^2 - 25*a*b^6*c^3 + 66*a^2*b^4*c^4 - 59*a^3*b^2*c^5 + 12*a^4*c^6)*d - (3*b^9*c - 27*a*b^7*c^2 + 80*a^2*b^5*c^3 - 87*a^3*b^3*c^4 + 28*a^4*b*c^5)*e)*f^2 + ((3*b^6*c^4 - 20*a*b^4*c^5 + 35*a^2*b^2*c^6 - 12*a^3*c^7)*d^2 - 2*(3*b^7*c^3 - 22*a*b^5*c^4 + 46*a^2*b^3*c^5 - 24*a^3*b*c^6)*d*e + (3*b^8*c^2 - 24*a*b^6*c^3 + 58*a^2*b^4*c^4 - 41*a^3*b^2*c^5 + 4*a^4*c^6)*e^2)*f - ((b^3*c^9 - 4*a*b*c^10)*d - (b^4*c^8 - 6*a*b^2*c^9 + 8*a^2*c^10)*e + (b^5*c^7 - 7*a*b^3*c^8 + 12*a^2*b*c^9)*f)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f + (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))) + 15*sqrt(1/2)*c^3*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f + (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))*log(-2*((a*b^2*c^6 - a^2*c^7)*d^4 - (3*a*b^3*c^5 - 5*a^2*b*c^6)*d^3*e + 3*(a*b^4*c^4 - 2*a^2*b^2*c^5)*d^2*e^2 - (a*b^5*c^3 - a^2*b^3*c^4 - 3*a^3*b*c^5)*d*e^3 + (a^2*b^4*c^3 - 3*a^3*b^2*c^4 + a^4*c^5)*e^4 + (a^3*b^6 - 5*a^4*b^4*c + 6*a^5*b^2*c^2 - a^6*c^3)*f^4 + ((a*b^8 - 7*a^2*b^6*c + 18*a^3*b^4*c^2 - 19*a^4*b^2*c^3 + 4*a^5*c^4)*d - (a^2*b^7 - 3*a^3*b^5*c - 2*a^4*b^3*c^2 + 5*a^5*b*c^3)*e)*f^3 + 3*((a*b^6*c^2 - 5*a^2*b^4*c^3 + 7*a^3*b^2*c^4 - 2*a^4*c^5)*d^2 - (a*b^7*c - 5*a^2*b^5*c^2 + 8*a^3*b^3*c^3 - 5*a^4*b*c^4)*d*e + (a^2*b^6*c - 4*a^3*b^4*c^2 + 3*a^4*b^2*c^3)*e^2)*f^2 + ((3*a*b^4*c^4 - 9*a^2*b^2*c^5 + 4*a^3*c^6)*d^3 - 3*(2*a*b^5*c^3 - 7*a^2*b^3*c^4 + 5*a^3*b*c^5)*d^2*e + 3*(a*b^6*c^2 - 3*a^2*b^4*c^3 + a^3*b^2*c^4)*d*e^2 - (3*a^2*b^5*c^2 - 11*a^3*b^3*c^3 + 7*a^4*b*c^4)*e^3)*f)*x - sqrt(1/2)*((b^4*c^6 - 5*a*b^2*c^7 + 4*a^2*c^8)*d^3 - (3*b^5*c^5 - 17*a*b^3*c^6 + 20*a^2*b*c^7)*d^2*e + (3*b^6*c^4 - 19*a*b^4*c^5 + 29*a^2*b^2*c^6 - 4*a^3*c^7)*d*e^2 - (b^7*c^3 - 7*a*b^5*c^4 + 13*a^2*b^3*c^5 - 4*a^3*b*c^6)*e^3 + (b^10 - 10*a*b^8*c + 35*a^2*b^6*c^2 - 51*a^3*b^4*c^3 + 29*a^4*b^2*c^4 - 4*a^5*c^5)*f^3 + ((3*b^8*c^2 - 25*a*b^6*c^3 + 66*a^2*b^4*c^4 - 59*a^3*b^2*c^5 + 12*a^4*c^6)*d - (3*b^9*c - 27*a*b^7*c^2 + 80*a^2*b^5*c^3 - 87*a^3*b^3*c^4 + 28*a^4*b*c^5)*e)*f^2 + ((3*b^6*c^4 - 20*a*b^4*c^5 + 35*a^2*b^2*c^6 - 12*a^3*c^7)*d^2 - 2*(3*b^7*c^3 - 22*a*b^5*c^4 + 46*a^2*b^3*c^5 - 24*a^3*b*c^6)*d*e + (3*b^8*c^2 - 24*a*b^6*c^3 + 58*a^2*b^4*c^4 - 41*a^3*b^2*c^5 + 4*a^4*c^6)*e^2)*f - ((b^3*c^9 - 4*a*b*c^10)*d - (b^4*c^8 - 6*a*b^2*c^9 + 8*a^2*c^10)*e + (b^5*c^7 - 7*a*b^3*c^8 + 12*a^2*b*c^9)*f)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f + (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))) - 15*sqrt(1/2)*c^3*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f - (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))*log(-2*((a*b^2*c^6 - a^2*c^7)*d^4 - (3*a*b^3*c^5 - 5*a^2*b*c^6)*d^3*e + 3*(a*b^4*c^4 - 2*a^2*b^2*c^5)*d^2*e^2 - (a*b^5*c^3 - a^2*b^3*c^4 - 3*a^3*b*c^5)*d*e^3 + (a^2*b^4*c^3 - 3*a^3*b^2*c^4 + a^4*c^5)*e^4 + (a^3*b^6 - 5*a^4*b^4*c + 6*a^5*b^2*c^2 - a^6*c^3)*f^4 + ((a*b^8 - 7*a^2*b^6*c + 18*a^3*b^4*c^2 - 19*a^4*b^2*c^3 + 4*a^5*c^4)*d - (a^2*b^7 - 3*a^3*b^5*c - 2*a^4*b^3*c^2 + 5*a^5*b*c^3)*e)*f^3 + 3*((a*b^6*c^2 - 5*a^2*b^4*c^3 + 7*a^3*b^2*c^4 - 2*a^4*c^5)*d^2 - (a*b^7*c - 5*a^2*b^5*c^2 + 8*a^3*b^3*c^3 - 5*a^4*b*c^4)*d*e + (a^2*b^6*c - 4*a^3*b^4*c^2 + 3*a^4*b^2*c^3)*e^2)*f^2 + ((3*a*b^4*c^4 - 9*a^2*b^2*c^5 + 4*a^3*c^6)*d^3 - 3*(2*a*b^5*c^3 - 7*a^2*b^3*c^4 + 5*a^3*b*c^5)*d^2*e + 3*(a*b^6*c^2 - 3*a^2*b^4*c^3 + a^3*b^2*c^4)*d*e^2 - (3*a^2*b^5*c^2 - 11*a^3*b^3*c^3 + 7*a^4*b*c^4)*e^3)*f)*x + sqrt(1/2)*((b^4*c^6 - 5*a*b^2*c^7 + 4*a^2*c^8)*d^3 - (3*b^5*c^5 - 17*a*b^3*c^6 + 20*a^2*b*c^7)*d^2*e + (3*b^6*c^4 - 19*a*b^4*c^5 + 29*a^2*b^2*c^6 - 4*a^3*c^7)*d*e^2 - (b^7*c^3 - 7*a*b^5*c^4 + 13*a^2*b^3*c^5 - 4*a^3*b*c^6)*e^3 + (b^10 - 10*a*b^8*c + 35*a^2*b^6*c^2 - 51*a^3*b^4*c^3 + 29*a^4*b^2*c^4 - 4*a^5*c^5)*f^3 + ((3*b^8*c^2 - 25*a*b^6*c^3 + 66*a^2*b^4*c^4 - 59*a^3*b^2*c^5 + 12*a^4*c^6)*d - (3*b^9*c - 27*a*b^7*c^2 + 80*a^2*b^5*c^3 - 87*a^3*b^3*c^4 + 28*a^4*b*c^5)*e)*f^2 + ((3*b^6*c^4 - 20*a*b^4*c^5 + 35*a^2*b^2*c^6 - 12*a^3*c^7)*d^2 - 2*(3*b^7*c^3 - 22*a*b^5*c^4 + 46*a^2*b^3*c^5 - 24*a^3*b*c^6)*d*e + (3*b^8*c^2 - 24*a*b^6*c^3 + 58*a^2*b^4*c^4 - 41*a^3*b^2*c^5 + 4*a^4*c^6)*e^2)*f + ((b^3*c^9 - 4*a*b*c^10)*d - (b^4*c^8 - 6*a*b^2*c^9 + 8*a^2*c^10)*e + (b^5*c^7 - 7*a*b^3*c^8 + 12*a^2*b*c^9)*f)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f - (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))) + 15*sqrt(1/2)*c^3*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f - (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))*log(-2*((a*b^2*c^6 - a^2*c^7)*d^4 - (3*a*b^3*c^5 - 5*a^2*b*c^6)*d^3*e + 3*(a*b^4*c^4 - 2*a^2*b^2*c^5)*d^2*e^2 - (a*b^5*c^3 - a^2*b^3*c^4 - 3*a^3*b*c^5)*d*e^3 + (a^2*b^4*c^3 - 3*a^3*b^2*c^4 + a^4*c^5)*e^4 + (a^3*b^6 - 5*a^4*b^4*c + 6*a^5*b^2*c^2 - a^6*c^3)*f^4 + ((a*b^8 - 7*a^2*b^6*c + 18*a^3*b^4*c^2 - 19*a^4*b^2*c^3 + 4*a^5*c^4)*d - (a^2*b^7 - 3*a^3*b^5*c - 2*a^4*b^3*c^2 + 5*a^5*b*c^3)*e)*f^3 + 3*((a*b^6*c^2 - 5*a^2*b^4*c^3 + 7*a^3*b^2*c^4 - 2*a^4*c^5)*d^2 - (a*b^7*c - 5*a^2*b^5*c^2 + 8*a^3*b^3*c^3 - 5*a^4*b*c^4)*d*e + (a^2*b^6*c - 4*a^3*b^4*c^2 + 3*a^4*b^2*c^3)*e^2)*f^2 + ((3*a*b^4*c^4 - 9*a^2*b^2*c^5 + 4*a^3*c^6)*d^3 - 3*(2*a*b^5*c^3 - 7*a^2*b^3*c^4 + 5*a^3*b*c^5)*d^2*e + 3*(a*b^6*c^2 - 3*a^2*b^4*c^3 + a^3*b^2*c^4)*d*e^2 - (3*a^2*b^5*c^2 - 11*a^3*b^3*c^3 + 7*a^4*b*c^4)*e^3)*f)*x - sqrt(1/2)*((b^4*c^6 - 5*a*b^2*c^7 + 4*a^2*c^8)*d^3 - (3*b^5*c^5 - 17*a*b^3*c^6 + 20*a^2*b*c^7)*d^2*e + (3*b^6*c^4 - 19*a*b^4*c^5 + 29*a^2*b^2*c^6 - 4*a^3*c^7)*d*e^2 - (b^7*c^3 - 7*a*b^5*c^4 + 13*a^2*b^3*c^5 - 4*a^3*b*c^6)*e^3 + (b^10 - 10*a*b^8*c + 35*a^2*b^6*c^2 - 51*a^3*b^4*c^3 + 29*a^4*b^2*c^4 - 4*a^5*c^5)*f^3 + ((3*b^8*c^2 - 25*a*b^6*c^3 + 66*a^2*b^4*c^4 - 59*a^3*b^2*c^5 + 12*a^4*c^6)*d - (3*b^9*c - 27*a*b^7*c^2 + 80*a^2*b^5*c^3 - 87*a^3*b^3*c^4 + 28*a^4*b*c^5)*e)*f^2 + ((3*b^6*c^4 - 20*a*b^4*c^5 + 35*a^2*b^2*c^6 - 12*a^3*c^7)*d^2 - 2*(3*b^7*c^3 - 22*a*b^5*c^4 + 46*a^2*b^3*c^5 - 24*a^3*b*c^6)*d*e + (3*b^8*c^2 - 24*a*b^6*c^3 + 58*a^2*b^4*c^4 - 41*a^3*b^2*c^5 + 4*a^4*c^6)*e^2)*f + ((b^3*c^9 - 4*a*b*c^10)*d - (b^4*c^8 - 6*a*b^2*c^9 + 8*a^2*c^10)*e + (b^5*c^7 - 7*a*b^3*c^8 + 12*a^2*b*c^9)*f)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))*sqrt(-((b^3*c^4 - 3*a*b*c^5)*d^2 - 2*(b^4*c^3 - 4*a*b^2*c^4 + 2*a^2*c^5)*d*e + (b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*e^2 + (b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*f^2 + 2*((b^5*c^2 - 5*a*b^3*c^3 + 5*a^2*b*c^4)*d - (b^6*c - 6*a*b^4*c^2 + 9*a^2*b^2*c^3 - 2*a^3*c^4)*e)*f - (b^2*c^7 - 4*a*c^8)*sqrt(((b^4*c^8 - 2*a*b^2*c^9 + a^2*c^10)*d^4 - 4*(b^5*c^7 - 3*a*b^3*c^8 + 2*a^2*b*c^9)*d^3*e + 2*(3*b^6*c^6 - 12*a*b^4*c^7 + 12*a^2*b^2*c^8 - a^3*c^9)*d^2*e^2 - 4*(b^7*c^5 - 5*a*b^5*c^6 + 7*a^2*b^3*c^7 - 2*a^3*b*c^8)*d*e^3 + (b^8*c^4 - 6*a*b^6*c^5 + 11*a^2*b^4*c^6 - 6*a^3*b^2*c^7 + a^4*c^8)*e^4 + (b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*f^4 + 4*((b^10*c^2 - 8*a*b^8*c^3 + 22*a^2*b^6*c^4 - 24*a^3*b^4*c^5 + 9*a^4*b^2*c^6 - a^5*c^7)*d - (b^11*c - 9*a*b^9*c^2 + 29*a^2*b^7*c^3 - 40*a^3*b^5*c^4 + 22*a^4*b^3*c^5 - 3*a^5*b*c^6)*e)*f^3 + 2*((3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 19*a^3*b^2*c^7 + 3*a^4*c^8)*d^2 - 2*(3*b^9*c^3 - 21*a*b^7*c^4 + 48*a^2*b^5*c^5 - 39*a^3*b^3*c^6 + 8*a^4*b*c^7)*d*e + (3*b^10*c^2 - 24*a*b^8*c^3 + 66*a^2*b^6*c^4 - 72*a^3*b^4*c^5 + 27*a^4*b^2*c^6 - a^5*c^7)*e^2)*f^2 + 4*((b^6*c^6 - 4*a*b^4*c^7 + 4*a^2*b^2*c^8 - a^3*c^9)*d^3 - (3*b^7*c^5 - 15*a*b^5*c^6 + 21*a^2*b^3*c^7 - 7*a^3*b*c^8)*d^2*e + (3*b^8*c^4 - 18*a*b^6*c^5 + 33*a^2*b^4*c^6 - 18*a^3*b^2*c^7 + a^4*c^8)*d*e^2 - (b^9*c^3 - 7*a*b^7*c^4 + 16*a^2*b^5*c^5 - 13*a^3*b^3*c^6 + 3*a^4*b*c^7)*e^3)*f)/(b^2*c^14 - 4*a*c^15)))/(b^2*c^7 - 4*a*c^8))) + 10*(c^2*e - b*c*f)*x^3 + 30*(c^2*d - b*c*e + (b^2 - a*c)*f)*x)/c^3","B",0
56,1,9364,0,7.852329," ","integrate(x^2*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\frac{2 \, c f x^{3} + 3 \, \sqrt{\frac{1}{2}} c^{2} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f + {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}} \log\left(2 \, {\left(c^{6} d^{4} - 3 \, b c^{5} d^{3} e + 3 \, b^{2} c^{4} d^{2} e^{2} - {\left(b^{3} c^{3} + a b c^{4}\right)} d e^{3} + {\left(a b^{2} c^{3} - a^{2} c^{4}\right)} e^{4} + {\left(a^{2} b^{4} - 3 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + {\left({\left(b^{6} - 5 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d - {\left(a b^{5} - a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} e\right)} f^{3} + 3 \, {\left({\left(b^{4} c^{2} - 3 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{2} - {\left(b^{5} c - 3 \, a b^{3} c^{2} + 3 \, a^{2} b c^{3}\right)} d e + {\left(a b^{4} c - 2 \, a^{2} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - 3 \, {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{2} e + 3 \, {\left(b^{4} c^{2} - a b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a b^{3} c^{2} - 5 \, a^{2} b c^{3}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{5} - 4 \, a c^{6}\right)} d^{2} e - 2 \, {\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d e^{2} + {\left(b^{4} c^{3} - 5 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} e^{3} - {\left(b^{7} - 7 \, a b^{5} c + 13 \, a^{2} b^{3} c^{2} - 4 \, a^{3} b c^{3}\right)} f^{3} - {\left(2 \, {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 4 \, a^{2} b c^{4}\right)} d - {\left(3 \, b^{6} c - 19 \, a b^{4} c^{2} + 29 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} e\right)} f^{2} - {\left({\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d^{2} - 2 \, {\left(2 \, b^{4} c^{3} - 9 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(3 \, b^{5} c^{2} - 17 \, a b^{3} c^{3} + 20 \, a^{2} b c^{4}\right)} e^{2}\right)} f + {\left(2 \, {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} d - {\left(b^{3} c^{6} - 4 \, a b c^{7}\right)} e + {\left(b^{4} c^{5} - 6 \, a b^{2} c^{6} + 8 \, a^{2} c^{7}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}\right)} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f + {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}}\right) - 3 \, \sqrt{\frac{1}{2}} c^{2} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f + {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}} \log\left(2 \, {\left(c^{6} d^{4} - 3 \, b c^{5} d^{3} e + 3 \, b^{2} c^{4} d^{2} e^{2} - {\left(b^{3} c^{3} + a b c^{4}\right)} d e^{3} + {\left(a b^{2} c^{3} - a^{2} c^{4}\right)} e^{4} + {\left(a^{2} b^{4} - 3 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + {\left({\left(b^{6} - 5 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d - {\left(a b^{5} - a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} e\right)} f^{3} + 3 \, {\left({\left(b^{4} c^{2} - 3 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{2} - {\left(b^{5} c - 3 \, a b^{3} c^{2} + 3 \, a^{2} b c^{3}\right)} d e + {\left(a b^{4} c - 2 \, a^{2} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - 3 \, {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{2} e + 3 \, {\left(b^{4} c^{2} - a b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a b^{3} c^{2} - 5 \, a^{2} b c^{3}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{5} - 4 \, a c^{6}\right)} d^{2} e - 2 \, {\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d e^{2} + {\left(b^{4} c^{3} - 5 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} e^{3} - {\left(b^{7} - 7 \, a b^{5} c + 13 \, a^{2} b^{3} c^{2} - 4 \, a^{3} b c^{3}\right)} f^{3} - {\left(2 \, {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 4 \, a^{2} b c^{4}\right)} d - {\left(3 \, b^{6} c - 19 \, a b^{4} c^{2} + 29 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} e\right)} f^{2} - {\left({\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d^{2} - 2 \, {\left(2 \, b^{4} c^{3} - 9 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(3 \, b^{5} c^{2} - 17 \, a b^{3} c^{3} + 20 \, a^{2} b c^{4}\right)} e^{2}\right)} f + {\left(2 \, {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} d - {\left(b^{3} c^{6} - 4 \, a b c^{7}\right)} e + {\left(b^{4} c^{5} - 6 \, a b^{2} c^{6} + 8 \, a^{2} c^{7}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}\right)} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f + {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}}\right) + 3 \, \sqrt{\frac{1}{2}} c^{2} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f - {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}} \log\left(2 \, {\left(c^{6} d^{4} - 3 \, b c^{5} d^{3} e + 3 \, b^{2} c^{4} d^{2} e^{2} - {\left(b^{3} c^{3} + a b c^{4}\right)} d e^{3} + {\left(a b^{2} c^{3} - a^{2} c^{4}\right)} e^{4} + {\left(a^{2} b^{4} - 3 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + {\left({\left(b^{6} - 5 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d - {\left(a b^{5} - a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} e\right)} f^{3} + 3 \, {\left({\left(b^{4} c^{2} - 3 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{2} - {\left(b^{5} c - 3 \, a b^{3} c^{2} + 3 \, a^{2} b c^{3}\right)} d e + {\left(a b^{4} c - 2 \, a^{2} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - 3 \, {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{2} e + 3 \, {\left(b^{4} c^{2} - a b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a b^{3} c^{2} - 5 \, a^{2} b c^{3}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{5} - 4 \, a c^{6}\right)} d^{2} e - 2 \, {\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d e^{2} + {\left(b^{4} c^{3} - 5 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} e^{3} - {\left(b^{7} - 7 \, a b^{5} c + 13 \, a^{2} b^{3} c^{2} - 4 \, a^{3} b c^{3}\right)} f^{3} - {\left(2 \, {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 4 \, a^{2} b c^{4}\right)} d - {\left(3 \, b^{6} c - 19 \, a b^{4} c^{2} + 29 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} e\right)} f^{2} - {\left({\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d^{2} - 2 \, {\left(2 \, b^{4} c^{3} - 9 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(3 \, b^{5} c^{2} - 17 \, a b^{3} c^{3} + 20 \, a^{2} b c^{4}\right)} e^{2}\right)} f - {\left(2 \, {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} d - {\left(b^{3} c^{6} - 4 \, a b c^{7}\right)} e + {\left(b^{4} c^{5} - 6 \, a b^{2} c^{6} + 8 \, a^{2} c^{7}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}\right)} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f - {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}}\right) - 3 \, \sqrt{\frac{1}{2}} c^{2} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f - {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}} \log\left(2 \, {\left(c^{6} d^{4} - 3 \, b c^{5} d^{3} e + 3 \, b^{2} c^{4} d^{2} e^{2} - {\left(b^{3} c^{3} + a b c^{4}\right)} d e^{3} + {\left(a b^{2} c^{3} - a^{2} c^{4}\right)} e^{4} + {\left(a^{2} b^{4} - 3 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + {\left({\left(b^{6} - 5 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} d - {\left(a b^{5} - a^{2} b^{3} c - 3 \, a^{3} b c^{2}\right)} e\right)} f^{3} + 3 \, {\left({\left(b^{4} c^{2} - 3 \, a b^{2} c^{3} + 2 \, a^{2} c^{4}\right)} d^{2} - {\left(b^{5} c - 3 \, a b^{3} c^{2} + 3 \, a^{2} b c^{3}\right)} d e + {\left(a b^{4} c - 2 \, a^{2} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(3 \, b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - 3 \, {\left(2 \, b^{3} c^{3} - 3 \, a b c^{4}\right)} d^{2} e + 3 \, {\left(b^{4} c^{2} - a b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a b^{3} c^{2} - 5 \, a^{2} b c^{3}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{5} - 4 \, a c^{6}\right)} d^{2} e - 2 \, {\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d e^{2} + {\left(b^{4} c^{3} - 5 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} e^{3} - {\left(b^{7} - 7 \, a b^{5} c + 13 \, a^{2} b^{3} c^{2} - 4 \, a^{3} b c^{3}\right)} f^{3} - {\left(2 \, {\left(b^{5} c^{2} - 5 \, a b^{3} c^{3} + 4 \, a^{2} b c^{4}\right)} d - {\left(3 \, b^{6} c - 19 \, a b^{4} c^{2} + 29 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} e\right)} f^{2} - {\left({\left(b^{3} c^{4} - 4 \, a b c^{5}\right)} d^{2} - 2 \, {\left(2 \, b^{4} c^{3} - 9 \, a b^{2} c^{4} + 4 \, a^{2} c^{5}\right)} d e + {\left(3 \, b^{5} c^{2} - 17 \, a b^{3} c^{3} + 20 \, a^{2} b c^{4}\right)} e^{2}\right)} f - {\left(2 \, {\left(b^{2} c^{7} - 4 \, a c^{8}\right)} d - {\left(b^{3} c^{6} - 4 \, a b c^{7}\right)} e + {\left(b^{4} c^{5} - 6 \, a b^{2} c^{6} + 8 \, a^{2} c^{7}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}\right)} \sqrt{-\frac{b c^{4} d^{2} - 2 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} f^{2} + 2 \, {\left({\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d - {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e\right)} f - {\left(b^{2} c^{5} - 4 \, a c^{6}\right)} \sqrt{\frac{c^{8} d^{4} - 4 \, b c^{7} d^{3} e + 2 \, {\left(3 \, b^{2} c^{6} - a c^{7}\right)} d^{2} e^{2} - 4 \, {\left(b^{3} c^{5} - a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 2 \, a b^{2} c^{5} + a^{2} c^{6}\right)} e^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} f^{4} + 4 \, {\left({\left(b^{6} c^{2} - 4 \, a b^{4} c^{3} + 4 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} d - {\left(b^{7} c - 5 \, a b^{5} c^{2} + 7 \, a^{2} b^{3} c^{3} - 2 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, b^{4} c^{4} - 7 \, a b^{2} c^{5} + 3 \, a^{2} c^{6}\right)} d^{2} - 2 \, {\left(3 \, b^{5} c^{3} - 9 \, a b^{3} c^{4} + 5 \, a^{2} b c^{5}\right)} d e + {\left(3 \, b^{6} c^{2} - 12 \, a b^{4} c^{3} + 12 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(b^{2} c^{6} - a c^{7}\right)} d^{3} - {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + {\left(3 \, b^{4} c^{4} - 6 \, a b^{2} c^{5} + a^{2} c^{6}\right)} d e^{2} - {\left(b^{5} c^{3} - 3 \, a b^{3} c^{4} + 2 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{2} c^{10} - 4 \, a c^{11}}}}{b^{2} c^{5} - 4 \, a c^{6}}}\right) + 6 \, {\left(c e - b f\right)} x}{6 \, c^{2}}"," ",0,"1/6*(2*c*f*x^3 + 3*sqrt(1/2)*c^2*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f + (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))*log(2*(c^6*d^4 - 3*b*c^5*d^3*e + 3*b^2*c^4*d^2*e^2 - (b^3*c^3 + a*b*c^4)*d*e^3 + (a*b^2*c^3 - a^2*c^4)*e^4 + (a^2*b^4 - 3*a^3*b^2*c + a^4*c^2)*f^4 + ((b^6 - 5*a*b^4*c + 9*a^2*b^2*c^2 - 4*a^3*c^3)*d - (a*b^5 - a^2*b^3*c - 3*a^3*b*c^2)*e)*f^3 + 3*((b^4*c^2 - 3*a*b^2*c^3 + 2*a^2*c^4)*d^2 - (b^5*c - 3*a*b^3*c^2 + 3*a^2*b*c^3)*d*e + (a*b^4*c - 2*a^2*b^2*c^2)*e^2)*f^2 + ((3*b^2*c^4 - 4*a*c^5)*d^3 - 3*(2*b^3*c^3 - 3*a*b*c^4)*d^2*e + 3*(b^4*c^2 - a*b^2*c^3)*d*e^2 - (3*a*b^3*c^2 - 5*a^2*b*c^3)*e^3)*f)*x + sqrt(1/2)*((b^2*c^5 - 4*a*c^6)*d^2*e - 2*(b^3*c^4 - 4*a*b*c^5)*d*e^2 + (b^4*c^3 - 5*a*b^2*c^4 + 4*a^2*c^5)*e^3 - (b^7 - 7*a*b^5*c + 13*a^2*b^3*c^2 - 4*a^3*b*c^3)*f^3 - (2*(b^5*c^2 - 5*a*b^3*c^3 + 4*a^2*b*c^4)*d - (3*b^6*c - 19*a*b^4*c^2 + 29*a^2*b^2*c^3 - 4*a^3*c^4)*e)*f^2 - ((b^3*c^4 - 4*a*b*c^5)*d^2 - 2*(2*b^4*c^3 - 9*a*b^2*c^4 + 4*a^2*c^5)*d*e + (3*b^5*c^2 - 17*a*b^3*c^3 + 20*a^2*b*c^4)*e^2)*f + (2*(b^2*c^7 - 4*a*c^8)*d - (b^3*c^6 - 4*a*b*c^7)*e + (b^4*c^5 - 6*a*b^2*c^6 + 8*a^2*c^7)*f)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f + (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))) - 3*sqrt(1/2)*c^2*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f + (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))*log(2*(c^6*d^4 - 3*b*c^5*d^3*e + 3*b^2*c^4*d^2*e^2 - (b^3*c^3 + a*b*c^4)*d*e^3 + (a*b^2*c^3 - a^2*c^4)*e^4 + (a^2*b^4 - 3*a^3*b^2*c + a^4*c^2)*f^4 + ((b^6 - 5*a*b^4*c + 9*a^2*b^2*c^2 - 4*a^3*c^3)*d - (a*b^5 - a^2*b^3*c - 3*a^3*b*c^2)*e)*f^3 + 3*((b^4*c^2 - 3*a*b^2*c^3 + 2*a^2*c^4)*d^2 - (b^5*c - 3*a*b^3*c^2 + 3*a^2*b*c^3)*d*e + (a*b^4*c - 2*a^2*b^2*c^2)*e^2)*f^2 + ((3*b^2*c^4 - 4*a*c^5)*d^3 - 3*(2*b^3*c^3 - 3*a*b*c^4)*d^2*e + 3*(b^4*c^2 - a*b^2*c^3)*d*e^2 - (3*a*b^3*c^2 - 5*a^2*b*c^3)*e^3)*f)*x - sqrt(1/2)*((b^2*c^5 - 4*a*c^6)*d^2*e - 2*(b^3*c^4 - 4*a*b*c^5)*d*e^2 + (b^4*c^3 - 5*a*b^2*c^4 + 4*a^2*c^5)*e^3 - (b^7 - 7*a*b^5*c + 13*a^2*b^3*c^2 - 4*a^3*b*c^3)*f^3 - (2*(b^5*c^2 - 5*a*b^3*c^3 + 4*a^2*b*c^4)*d - (3*b^6*c - 19*a*b^4*c^2 + 29*a^2*b^2*c^3 - 4*a^3*c^4)*e)*f^2 - ((b^3*c^4 - 4*a*b*c^5)*d^2 - 2*(2*b^4*c^3 - 9*a*b^2*c^4 + 4*a^2*c^5)*d*e + (3*b^5*c^2 - 17*a*b^3*c^3 + 20*a^2*b*c^4)*e^2)*f + (2*(b^2*c^7 - 4*a*c^8)*d - (b^3*c^6 - 4*a*b*c^7)*e + (b^4*c^5 - 6*a*b^2*c^6 + 8*a^2*c^7)*f)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f + (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))) + 3*sqrt(1/2)*c^2*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f - (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))*log(2*(c^6*d^4 - 3*b*c^5*d^3*e + 3*b^2*c^4*d^2*e^2 - (b^3*c^3 + a*b*c^4)*d*e^3 + (a*b^2*c^3 - a^2*c^4)*e^4 + (a^2*b^4 - 3*a^3*b^2*c + a^4*c^2)*f^4 + ((b^6 - 5*a*b^4*c + 9*a^2*b^2*c^2 - 4*a^3*c^3)*d - (a*b^5 - a^2*b^3*c - 3*a^3*b*c^2)*e)*f^3 + 3*((b^4*c^2 - 3*a*b^2*c^3 + 2*a^2*c^4)*d^2 - (b^5*c - 3*a*b^3*c^2 + 3*a^2*b*c^3)*d*e + (a*b^4*c - 2*a^2*b^2*c^2)*e^2)*f^2 + ((3*b^2*c^4 - 4*a*c^5)*d^3 - 3*(2*b^3*c^3 - 3*a*b*c^4)*d^2*e + 3*(b^4*c^2 - a*b^2*c^3)*d*e^2 - (3*a*b^3*c^2 - 5*a^2*b*c^3)*e^3)*f)*x + sqrt(1/2)*((b^2*c^5 - 4*a*c^6)*d^2*e - 2*(b^3*c^4 - 4*a*b*c^5)*d*e^2 + (b^4*c^3 - 5*a*b^2*c^4 + 4*a^2*c^5)*e^3 - (b^7 - 7*a*b^5*c + 13*a^2*b^3*c^2 - 4*a^3*b*c^3)*f^3 - (2*(b^5*c^2 - 5*a*b^3*c^3 + 4*a^2*b*c^4)*d - (3*b^6*c - 19*a*b^4*c^2 + 29*a^2*b^2*c^3 - 4*a^3*c^4)*e)*f^2 - ((b^3*c^4 - 4*a*b*c^5)*d^2 - 2*(2*b^4*c^3 - 9*a*b^2*c^4 + 4*a^2*c^5)*d*e + (3*b^5*c^2 - 17*a*b^3*c^3 + 20*a^2*b*c^4)*e^2)*f - (2*(b^2*c^7 - 4*a*c^8)*d - (b^3*c^6 - 4*a*b*c^7)*e + (b^4*c^5 - 6*a*b^2*c^6 + 8*a^2*c^7)*f)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f - (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))) - 3*sqrt(1/2)*c^2*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f - (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))*log(2*(c^6*d^4 - 3*b*c^5*d^3*e + 3*b^2*c^4*d^2*e^2 - (b^3*c^3 + a*b*c^4)*d*e^3 + (a*b^2*c^3 - a^2*c^4)*e^4 + (a^2*b^4 - 3*a^3*b^2*c + a^4*c^2)*f^4 + ((b^6 - 5*a*b^4*c + 9*a^2*b^2*c^2 - 4*a^3*c^3)*d - (a*b^5 - a^2*b^3*c - 3*a^3*b*c^2)*e)*f^3 + 3*((b^4*c^2 - 3*a*b^2*c^3 + 2*a^2*c^4)*d^2 - (b^5*c - 3*a*b^3*c^2 + 3*a^2*b*c^3)*d*e + (a*b^4*c - 2*a^2*b^2*c^2)*e^2)*f^2 + ((3*b^2*c^4 - 4*a*c^5)*d^3 - 3*(2*b^3*c^3 - 3*a*b*c^4)*d^2*e + 3*(b^4*c^2 - a*b^2*c^3)*d*e^2 - (3*a*b^3*c^2 - 5*a^2*b*c^3)*e^3)*f)*x - sqrt(1/2)*((b^2*c^5 - 4*a*c^6)*d^2*e - 2*(b^3*c^4 - 4*a*b*c^5)*d*e^2 + (b^4*c^3 - 5*a*b^2*c^4 + 4*a^2*c^5)*e^3 - (b^7 - 7*a*b^5*c + 13*a^2*b^3*c^2 - 4*a^3*b*c^3)*f^3 - (2*(b^5*c^2 - 5*a*b^3*c^3 + 4*a^2*b*c^4)*d - (3*b^6*c - 19*a*b^4*c^2 + 29*a^2*b^2*c^3 - 4*a^3*c^4)*e)*f^2 - ((b^3*c^4 - 4*a*b*c^5)*d^2 - 2*(2*b^4*c^3 - 9*a*b^2*c^4 + 4*a^2*c^5)*d*e + (3*b^5*c^2 - 17*a*b^3*c^3 + 20*a^2*b*c^4)*e^2)*f - (2*(b^2*c^7 - 4*a*c^8)*d - (b^3*c^6 - 4*a*b*c^7)*e + (b^4*c^5 - 6*a*b^2*c^6 + 8*a^2*c^7)*f)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))*sqrt(-(b*c^4*d^2 - 2*(b^2*c^3 - 2*a*c^4)*d*e + (b^3*c^2 - 3*a*b*c^3)*e^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*f^2 + 2*((b^3*c^2 - 3*a*b*c^3)*d - (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e)*f - (b^2*c^5 - 4*a*c^6)*sqrt((c^8*d^4 - 4*b*c^7*d^3*e + 2*(3*b^2*c^6 - a*c^7)*d^2*e^2 - 4*(b^3*c^5 - a*b*c^6)*d*e^3 + (b^4*c^4 - 2*a*b^2*c^5 + a^2*c^6)*e^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*f^4 + 4*((b^6*c^2 - 4*a*b^4*c^3 + 4*a^2*b^2*c^4 - a^3*c^5)*d - (b^7*c - 5*a*b^5*c^2 + 7*a^2*b^3*c^3 - 2*a^3*b*c^4)*e)*f^3 + 2*((3*b^4*c^4 - 7*a*b^2*c^5 + 3*a^2*c^6)*d^2 - 2*(3*b^5*c^3 - 9*a*b^3*c^4 + 5*a^2*b*c^5)*d*e + (3*b^6*c^2 - 12*a*b^4*c^3 + 12*a^2*b^2*c^4 - a^3*c^5)*e^2)*f^2 + 4*((b^2*c^6 - a*c^7)*d^3 - (3*b^3*c^5 - 4*a*b*c^6)*d^2*e + (3*b^4*c^4 - 6*a*b^2*c^5 + a^2*c^6)*d*e^2 - (b^5*c^3 - 3*a*b^3*c^4 + 2*a^2*b*c^5)*e^3)*f)/(b^2*c^10 - 4*a*c^11)))/(b^2*c^5 - 4*a*c^6))) + 6*(c*e - b*f)*x)/c^2","B",0
57,1,5788,0,4.072637," ","integrate((f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} c \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f + {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}} \log\left(2 \, {\left(c^{5} d^{4} - b c^{4} d^{3} e + a b c^{3} d e^{3} - a^{2} c^{3} e^{4} - {\left(a^{3} b^{2} - a^{4} c\right)} f^{4} - {\left({\left(a b^{4} - 3 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} + a^{3} b c\right)} e\right)} f^{3} - 3 \, {\left(a^{2} b^{2} c e^{2} + {\left(a b^{2} c^{2} - 2 \, a^{2} c^{3}\right)} d^{2} - {\left(a b^{3} c - a^{2} b c^{2}\right)} d e\right)} f^{2} + {\left(3 \, a b c^{3} d^{2} e - 3 \, a b^{2} c^{2} d e^{2} + 3 \, a^{2} b c^{2} e^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d e^{2} + {\left(a^{2} b^{4} - 5 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} f^{3} - {\left({\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d + 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e\right)} f^{2} - {\left(3 \, {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{2} - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d e - {\left(a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} f - {\left({\left(a b^{3} c^{4} - 4 \, a^{2} b c^{5}\right)} d - 2 \, {\left(a^{2} b^{2} c^{4} - 4 \, a^{3} c^{5}\right)} e + {\left(a^{2} b^{3} c^{3} - 4 \, a^{3} b c^{4}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}\right)} \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f + {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}}\right) - \sqrt{\frac{1}{2}} c \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f + {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}} \log\left(2 \, {\left(c^{5} d^{4} - b c^{4} d^{3} e + a b c^{3} d e^{3} - a^{2} c^{3} e^{4} - {\left(a^{3} b^{2} - a^{4} c\right)} f^{4} - {\left({\left(a b^{4} - 3 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} + a^{3} b c\right)} e\right)} f^{3} - 3 \, {\left(a^{2} b^{2} c e^{2} + {\left(a b^{2} c^{2} - 2 \, a^{2} c^{3}\right)} d^{2} - {\left(a b^{3} c - a^{2} b c^{2}\right)} d e\right)} f^{2} + {\left(3 \, a b c^{3} d^{2} e - 3 \, a b^{2} c^{2} d e^{2} + 3 \, a^{2} b c^{2} e^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d e^{2} + {\left(a^{2} b^{4} - 5 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} f^{3} - {\left({\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d + 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e\right)} f^{2} - {\left(3 \, {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{2} - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d e - {\left(a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} f - {\left({\left(a b^{3} c^{4} - 4 \, a^{2} b c^{5}\right)} d - 2 \, {\left(a^{2} b^{2} c^{4} - 4 \, a^{3} c^{5}\right)} e + {\left(a^{2} b^{3} c^{3} - 4 \, a^{3} b c^{4}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}\right)} \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f + {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}}\right) + \sqrt{\frac{1}{2}} c \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}} \log\left(2 \, {\left(c^{5} d^{4} - b c^{4} d^{3} e + a b c^{3} d e^{3} - a^{2} c^{3} e^{4} - {\left(a^{3} b^{2} - a^{4} c\right)} f^{4} - {\left({\left(a b^{4} - 3 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} + a^{3} b c\right)} e\right)} f^{3} - 3 \, {\left(a^{2} b^{2} c e^{2} + {\left(a b^{2} c^{2} - 2 \, a^{2} c^{3}\right)} d^{2} - {\left(a b^{3} c - a^{2} b c^{2}\right)} d e\right)} f^{2} + {\left(3 \, a b c^{3} d^{2} e - 3 \, a b^{2} c^{2} d e^{2} + 3 \, a^{2} b c^{2} e^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d e^{2} + {\left(a^{2} b^{4} - 5 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} f^{3} - {\left({\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d + 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e\right)} f^{2} - {\left(3 \, {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{2} - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d e - {\left(a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} f + {\left({\left(a b^{3} c^{4} - 4 \, a^{2} b c^{5}\right)} d - 2 \, {\left(a^{2} b^{2} c^{4} - 4 \, a^{3} c^{5}\right)} e + {\left(a^{2} b^{3} c^{3} - 4 \, a^{3} b c^{4}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}\right)} \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}}\right) - \sqrt{\frac{1}{2}} c \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}} \log\left(2 \, {\left(c^{5} d^{4} - b c^{4} d^{3} e + a b c^{3} d e^{3} - a^{2} c^{3} e^{4} - {\left(a^{3} b^{2} - a^{4} c\right)} f^{4} - {\left({\left(a b^{4} - 3 \, a^{2} b^{2} c + 4 \, a^{3} c^{2}\right)} d - {\left(a^{2} b^{3} + a^{3} b c\right)} e\right)} f^{3} - 3 \, {\left(a^{2} b^{2} c e^{2} + {\left(a b^{2} c^{2} - 2 \, a^{2} c^{3}\right)} d^{2} - {\left(a b^{3} c - a^{2} b c^{2}\right)} d e\right)} f^{2} + {\left(3 \, a b c^{3} d^{2} e - 3 \, a b^{2} c^{2} d e^{2} + 3 \, a^{2} b c^{2} e^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} d^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{4} - 4 \, a c^{5}\right)} d^{3} - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d e^{2} + {\left(a^{2} b^{4} - 5 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} f^{3} - {\left({\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d + 2 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e\right)} f^{2} - {\left(3 \, {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} d^{2} - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d e - {\left(a^{2} b^{2} c^{2} - 4 \, a^{3} c^{3}\right)} e^{2}\right)} f + {\left({\left(a b^{3} c^{4} - 4 \, a^{2} b c^{5}\right)} d - 2 \, {\left(a^{2} b^{2} c^{4} - 4 \, a^{3} c^{5}\right)} e + {\left(a^{2} b^{3} c^{3} - 4 \, a^{3} b c^{4}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}\right)} \sqrt{-\frac{b c^{3} d^{2} - 4 \, a c^{3} d e + a b c^{2} e^{2} + {\left(a b^{3} - 3 \, a^{2} b c\right)} f^{2} + 2 \, {\left(a b c^{2} d - {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} e\right)} f - {\left(a b^{2} c^{3} - 4 \, a^{2} c^{4}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 2 \, a^{3} b^{2} c + a^{4} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(4 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 3 \, a^{2} c^{4}\right)} d^{2} - {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} e^{2}\right)} f^{2} - 4 \, {\left(a c^{5} d^{3} - a b c^{4} d^{2} e - a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{2} c^{6} - 4 \, a^{3} c^{7}}}}{a b^{2} c^{3} - 4 \, a^{2} c^{4}}}\right) - 2 \, f x}{2 \, c}"," ",0,"-1/2*(sqrt(1/2)*c*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f + (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))*log(2*(c^5*d^4 - b*c^4*d^3*e + a*b*c^3*d*e^3 - a^2*c^3*e^4 - (a^3*b^2 - a^4*c)*f^4 - ((a*b^4 - 3*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 + a^3*b*c)*e)*f^3 - 3*(a^2*b^2*c*e^2 + (a*b^2*c^2 - 2*a^2*c^3)*d^2 - (a*b^3*c - a^2*b*c^2)*d*e)*f^2 + (3*a*b*c^3*d^2*e - 3*a*b^2*c^2*d*e^2 + 3*a^2*b*c^2*e^3 + (b^2*c^3 - 4*a*c^4)*d^3)*f)*x + sqrt(1/2)*((b^2*c^4 - 4*a*c^5)*d^3 - (a*b^2*c^3 - 4*a^2*c^4)*d*e^2 + (a^2*b^4 - 5*a^3*b^2*c + 4*a^4*c^2)*f^3 - ((a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d + 2*(a^2*b^3*c - 4*a^3*b*c^2)*e)*f^2 - (3*(a*b^2*c^3 - 4*a^2*c^4)*d^2 - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d*e - (a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*f - ((a*b^3*c^4 - 4*a^2*b*c^5)*d - 2*(a^2*b^2*c^4 - 4*a^3*c^5)*e + (a^2*b^3*c^3 - 4*a^3*b*c^4)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f + (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))) - sqrt(1/2)*c*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f + (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))*log(2*(c^5*d^4 - b*c^4*d^3*e + a*b*c^3*d*e^3 - a^2*c^3*e^4 - (a^3*b^2 - a^4*c)*f^4 - ((a*b^4 - 3*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 + a^3*b*c)*e)*f^3 - 3*(a^2*b^2*c*e^2 + (a*b^2*c^2 - 2*a^2*c^3)*d^2 - (a*b^3*c - a^2*b*c^2)*d*e)*f^2 + (3*a*b*c^3*d^2*e - 3*a*b^2*c^2*d*e^2 + 3*a^2*b*c^2*e^3 + (b^2*c^3 - 4*a*c^4)*d^3)*f)*x - sqrt(1/2)*((b^2*c^4 - 4*a*c^5)*d^3 - (a*b^2*c^3 - 4*a^2*c^4)*d*e^2 + (a^2*b^4 - 5*a^3*b^2*c + 4*a^4*c^2)*f^3 - ((a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d + 2*(a^2*b^3*c - 4*a^3*b*c^2)*e)*f^2 - (3*(a*b^2*c^3 - 4*a^2*c^4)*d^2 - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d*e - (a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*f - ((a*b^3*c^4 - 4*a^2*b*c^5)*d - 2*(a^2*b^2*c^4 - 4*a^3*c^5)*e + (a^2*b^3*c^3 - 4*a^3*b*c^4)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f + (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))) + sqrt(1/2)*c*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f - (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))*log(2*(c^5*d^4 - b*c^4*d^3*e + a*b*c^3*d*e^3 - a^2*c^3*e^4 - (a^3*b^2 - a^4*c)*f^4 - ((a*b^4 - 3*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 + a^3*b*c)*e)*f^3 - 3*(a^2*b^2*c*e^2 + (a*b^2*c^2 - 2*a^2*c^3)*d^2 - (a*b^3*c - a^2*b*c^2)*d*e)*f^2 + (3*a*b*c^3*d^2*e - 3*a*b^2*c^2*d*e^2 + 3*a^2*b*c^2*e^3 + (b^2*c^3 - 4*a*c^4)*d^3)*f)*x + sqrt(1/2)*((b^2*c^4 - 4*a*c^5)*d^3 - (a*b^2*c^3 - 4*a^2*c^4)*d*e^2 + (a^2*b^4 - 5*a^3*b^2*c + 4*a^4*c^2)*f^3 - ((a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d + 2*(a^2*b^3*c - 4*a^3*b*c^2)*e)*f^2 - (3*(a*b^2*c^3 - 4*a^2*c^4)*d^2 - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d*e - (a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*f + ((a*b^3*c^4 - 4*a^2*b*c^5)*d - 2*(a^2*b^2*c^4 - 4*a^3*c^5)*e + (a^2*b^3*c^3 - 4*a^3*b*c^4)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f - (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))) - sqrt(1/2)*c*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f - (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))*log(2*(c^5*d^4 - b*c^4*d^3*e + a*b*c^3*d*e^3 - a^2*c^3*e^4 - (a^3*b^2 - a^4*c)*f^4 - ((a*b^4 - 3*a^2*b^2*c + 4*a^3*c^2)*d - (a^2*b^3 + a^3*b*c)*e)*f^3 - 3*(a^2*b^2*c*e^2 + (a*b^2*c^2 - 2*a^2*c^3)*d^2 - (a*b^3*c - a^2*b*c^2)*d*e)*f^2 + (3*a*b*c^3*d^2*e - 3*a*b^2*c^2*d*e^2 + 3*a^2*b*c^2*e^3 + (b^2*c^3 - 4*a*c^4)*d^3)*f)*x - sqrt(1/2)*((b^2*c^4 - 4*a*c^5)*d^3 - (a*b^2*c^3 - 4*a^2*c^4)*d*e^2 + (a^2*b^4 - 5*a^3*b^2*c + 4*a^4*c^2)*f^3 - ((a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d + 2*(a^2*b^3*c - 4*a^3*b*c^2)*e)*f^2 - (3*(a*b^2*c^3 - 4*a^2*c^4)*d^2 - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d*e - (a^2*b^2*c^2 - 4*a^3*c^3)*e^2)*f + ((a*b^3*c^4 - 4*a^2*b*c^5)*d - 2*(a^2*b^2*c^4 - 4*a^3*c^5)*e + (a^2*b^3*c^3 - 4*a^3*b*c^4)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))*sqrt(-(b*c^3*d^2 - 4*a*c^3*d*e + a*b*c^2*e^2 + (a*b^3 - 3*a^2*b*c)*f^2 + 2*(a*b*c^2*d - (a*b^2*c - 2*a^2*c^2)*e)*f - (a*b^2*c^3 - 4*a^2*c^4)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 2*a^3*b^2*c + a^4*c^2)*f^4 + 4*((a^2*b^2*c^2 - a^3*c^3)*d - (a^2*b^3*c - a^3*b*c^2)*e)*f^3 - 2*(4*a^2*b*c^3*d*e + (a*b^2*c^3 - 3*a^2*c^4)*d^2 - (3*a^2*b^2*c^2 - a^3*c^3)*e^2)*f^2 - 4*(a*c^5*d^3 - a*b*c^4*d^2*e - a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^2*c^6 - 4*a^3*c^7)))/(a*b^2*c^3 - 4*a^2*c^4))) - 2*f*x)/c","B",0
58,1,5930,0,2.208835," ","integrate((f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} a x \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}} \log\left(-2 \, {\left(3 \, a b^{2} c^{2} d^{2} e^{2} - 3 \, a^{2} b c^{2} d e^{3} + a^{3} c^{2} e^{4} - a^{5} f^{4} + {\left(b^{2} c^{3} - a c^{4}\right)} d^{4} - {\left(b^{3} c^{2} + a b c^{3}\right)} d^{3} e + {\left(a^{4} b e - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d\right)} f^{3} - 3 \, {\left(a^{3} b c d e - {\left(a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} d^{2}\right)} f^{2} + {\left(3 \, a^{2} b^{2} c d e^{2} - a^{3} b c e^{3} + {\left(b^{4} c - 3 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d^{3} - 3 \, {\left(a b^{3} c - a^{2} b c^{2}\right)} d^{2} e\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{5} c - 5 \, a b^{3} c^{2} + 4 \, a^{2} b c^{3}\right)} d^{3} - {\left(3 \, a b^{4} c - 13 \, a^{2} b^{2} c^{2} + 4 \, a^{3} c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d e^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} e^{3} - {\left({\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d - {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} e\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e\right)} f - {\left({\left(a^{3} b^{4} c - 6 \, a^{4} b^{2} c^{2} + 8 \, a^{5} c^{3}\right)} d - {\left(a^{4} b^{3} c - 4 \, a^{5} b c^{2}\right)} e + 2 \, {\left(a^{5} b^{2} c - 4 \, a^{6} c^{2}\right)} f\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}\right)} \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}}\right) - \sqrt{\frac{1}{2}} a x \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}} \log\left(-2 \, {\left(3 \, a b^{2} c^{2} d^{2} e^{2} - 3 \, a^{2} b c^{2} d e^{3} + a^{3} c^{2} e^{4} - a^{5} f^{4} + {\left(b^{2} c^{3} - a c^{4}\right)} d^{4} - {\left(b^{3} c^{2} + a b c^{3}\right)} d^{3} e + {\left(a^{4} b e - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d\right)} f^{3} - 3 \, {\left(a^{3} b c d e - {\left(a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} d^{2}\right)} f^{2} + {\left(3 \, a^{2} b^{2} c d e^{2} - a^{3} b c e^{3} + {\left(b^{4} c - 3 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d^{3} - 3 \, {\left(a b^{3} c - a^{2} b c^{2}\right)} d^{2} e\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{5} c - 5 \, a b^{3} c^{2} + 4 \, a^{2} b c^{3}\right)} d^{3} - {\left(3 \, a b^{4} c - 13 \, a^{2} b^{2} c^{2} + 4 \, a^{3} c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d e^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} e^{3} - {\left({\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d - {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} e\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e\right)} f - {\left({\left(a^{3} b^{4} c - 6 \, a^{4} b^{2} c^{2} + 8 \, a^{5} c^{3}\right)} d - {\left(a^{4} b^{3} c - 4 \, a^{5} b c^{2}\right)} e + 2 \, {\left(a^{5} b^{2} c - 4 \, a^{6} c^{2}\right)} f\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}\right)} \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f + {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}}\right) + \sqrt{\frac{1}{2}} a x \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}} \log\left(-2 \, {\left(3 \, a b^{2} c^{2} d^{2} e^{2} - 3 \, a^{2} b c^{2} d e^{3} + a^{3} c^{2} e^{4} - a^{5} f^{4} + {\left(b^{2} c^{3} - a c^{4}\right)} d^{4} - {\left(b^{3} c^{2} + a b c^{3}\right)} d^{3} e + {\left(a^{4} b e - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d\right)} f^{3} - 3 \, {\left(a^{3} b c d e - {\left(a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} d^{2}\right)} f^{2} + {\left(3 \, a^{2} b^{2} c d e^{2} - a^{3} b c e^{3} + {\left(b^{4} c - 3 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d^{3} - 3 \, {\left(a b^{3} c - a^{2} b c^{2}\right)} d^{2} e\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{5} c - 5 \, a b^{3} c^{2} + 4 \, a^{2} b c^{3}\right)} d^{3} - {\left(3 \, a b^{4} c - 13 \, a^{2} b^{2} c^{2} + 4 \, a^{3} c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d e^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} e^{3} - {\left({\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d - {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} e\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e\right)} f + {\left({\left(a^{3} b^{4} c - 6 \, a^{4} b^{2} c^{2} + 8 \, a^{5} c^{3}\right)} d - {\left(a^{4} b^{3} c - 4 \, a^{5} b c^{2}\right)} e + 2 \, {\left(a^{5} b^{2} c - 4 \, a^{6} c^{2}\right)} f\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}\right)} \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}}\right) - \sqrt{\frac{1}{2}} a x \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}} \log\left(-2 \, {\left(3 \, a b^{2} c^{2} d^{2} e^{2} - 3 \, a^{2} b c^{2} d e^{3} + a^{3} c^{2} e^{4} - a^{5} f^{4} + {\left(b^{2} c^{3} - a c^{4}\right)} d^{4} - {\left(b^{3} c^{2} + a b c^{3}\right)} d^{3} e + {\left(a^{4} b e - {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} d\right)} f^{3} - 3 \, {\left(a^{3} b c d e - {\left(a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} d^{2}\right)} f^{2} + {\left(3 \, a^{2} b^{2} c d e^{2} - a^{3} b c e^{3} + {\left(b^{4} c - 3 \, a b^{2} c^{2} + 4 \, a^{2} c^{3}\right)} d^{3} - 3 \, {\left(a b^{3} c - a^{2} b c^{2}\right)} d^{2} e\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{5} c - 5 \, a b^{3} c^{2} + 4 \, a^{2} b c^{3}\right)} d^{3} - {\left(3 \, a b^{4} c - 13 \, a^{2} b^{2} c^{2} + 4 \, a^{3} c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d e^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} e^{3} - {\left({\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} d - {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} e\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} d^{2} - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} d e\right)} f + {\left({\left(a^{3} b^{4} c - 6 \, a^{4} b^{2} c^{2} + 8 \, a^{5} c^{3}\right)} d - {\left(a^{4} b^{3} c - 4 \, a^{5} b c^{2}\right)} e + 2 \, {\left(a^{5} b^{2} c - 4 \, a^{6} c^{2}\right)} f\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}\right)} \sqrt{-\frac{a^{2} b c e^{2} + a^{3} b f^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} - 2 \, {\left(a b^{2} c - 2 \, a^{2} c^{2}\right)} d e + 2 \, {\left(a^{2} b c d - 2 \, a^{3} c e\right)} f - {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} \sqrt{-\frac{4 \, a^{3} b c^{2} d e^{3} - a^{4} c^{2} e^{4} + 4 \, a^{5} c d f^{3} - a^{6} f^{4} - {\left(b^{4} c^{2} - 2 \, a b^{2} c^{3} + a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - a^{2} b c^{3}\right)} d^{3} e - 2 \, {\left(3 \, a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e - a^{5} c e^{2} - {\left(a^{3} b^{2} c - 3 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} + 4 \, {\left(2 \, a^{3} b c^{2} d^{2} e - a^{4} c^{2} d e^{2} - {\left(a^{2} b^{2} c^{2} - a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{2} c^{2} - 4 \, a^{7} c^{3}}}}{a^{3} b^{2} c - 4 \, a^{4} c^{2}}}\right) + 2 \, d}{2 \, a x}"," ",0,"-1/2*(sqrt(1/2)*a*x*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f + (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))*log(-2*(3*a*b^2*c^2*d^2*e^2 - 3*a^2*b*c^2*d*e^3 + a^3*c^2*e^4 - a^5*f^4 + (b^2*c^3 - a*c^4)*d^4 - (b^3*c^2 + a*b*c^3)*d^3*e + (a^4*b*e - (a^3*b^2 - 4*a^4*c)*d)*f^3 - 3*(a^3*b*c*d*e - (a^2*b^2*c - 2*a^3*c^2)*d^2)*f^2 + (3*a^2*b^2*c*d*e^2 - a^3*b*c*e^3 + (b^4*c - 3*a*b^2*c^2 + 4*a^2*c^3)*d^3 - 3*(a*b^3*c - a^2*b*c^2)*d^2*e)*f)*x + sqrt(1/2)*((b^5*c - 5*a*b^3*c^2 + 4*a^2*b*c^3)*d^3 - (3*a*b^4*c - 13*a^2*b^2*c^2 + 4*a^3*c^3)*d^2*e + 3*(a^2*b^3*c - 4*a^3*b*c^2)*d*e^2 - (a^3*b^2*c - 4*a^4*c^2)*e^3 - ((a^3*b^3 - 4*a^4*b*c)*d - (a^4*b^2 - 4*a^5*c)*e)*f^2 + 2*((a^2*b^3*c - 4*a^3*b*c^2)*d^2 - (a^3*b^2*c - 4*a^4*c^2)*d*e)*f - ((a^3*b^4*c - 6*a^4*b^2*c^2 + 8*a^5*c^3)*d - (a^4*b^3*c - 4*a^5*b*c^2)*e + 2*(a^5*b^2*c - 4*a^6*c^2)*f)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f + (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))) - sqrt(1/2)*a*x*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f + (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))*log(-2*(3*a*b^2*c^2*d^2*e^2 - 3*a^2*b*c^2*d*e^3 + a^3*c^2*e^4 - a^5*f^4 + (b^2*c^3 - a*c^4)*d^4 - (b^3*c^2 + a*b*c^3)*d^3*e + (a^4*b*e - (a^3*b^2 - 4*a^4*c)*d)*f^3 - 3*(a^3*b*c*d*e - (a^2*b^2*c - 2*a^3*c^2)*d^2)*f^2 + (3*a^2*b^2*c*d*e^2 - a^3*b*c*e^3 + (b^4*c - 3*a*b^2*c^2 + 4*a^2*c^3)*d^3 - 3*(a*b^3*c - a^2*b*c^2)*d^2*e)*f)*x - sqrt(1/2)*((b^5*c - 5*a*b^3*c^2 + 4*a^2*b*c^3)*d^3 - (3*a*b^4*c - 13*a^2*b^2*c^2 + 4*a^3*c^3)*d^2*e + 3*(a^2*b^3*c - 4*a^3*b*c^2)*d*e^2 - (a^3*b^2*c - 4*a^4*c^2)*e^3 - ((a^3*b^3 - 4*a^4*b*c)*d - (a^4*b^2 - 4*a^5*c)*e)*f^2 + 2*((a^2*b^3*c - 4*a^3*b*c^2)*d^2 - (a^3*b^2*c - 4*a^4*c^2)*d*e)*f - ((a^3*b^4*c - 6*a^4*b^2*c^2 + 8*a^5*c^3)*d - (a^4*b^3*c - 4*a^5*b*c^2)*e + 2*(a^5*b^2*c - 4*a^6*c^2)*f)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f + (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))) + sqrt(1/2)*a*x*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f - (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))*log(-2*(3*a*b^2*c^2*d^2*e^2 - 3*a^2*b*c^2*d*e^3 + a^3*c^2*e^4 - a^5*f^4 + (b^2*c^3 - a*c^4)*d^4 - (b^3*c^2 + a*b*c^3)*d^3*e + (a^4*b*e - (a^3*b^2 - 4*a^4*c)*d)*f^3 - 3*(a^3*b*c*d*e - (a^2*b^2*c - 2*a^3*c^2)*d^2)*f^2 + (3*a^2*b^2*c*d*e^2 - a^3*b*c*e^3 + (b^4*c - 3*a*b^2*c^2 + 4*a^2*c^3)*d^3 - 3*(a*b^3*c - a^2*b*c^2)*d^2*e)*f)*x + sqrt(1/2)*((b^5*c - 5*a*b^3*c^2 + 4*a^2*b*c^3)*d^3 - (3*a*b^4*c - 13*a^2*b^2*c^2 + 4*a^3*c^3)*d^2*e + 3*(a^2*b^3*c - 4*a^3*b*c^2)*d*e^2 - (a^3*b^2*c - 4*a^4*c^2)*e^3 - ((a^3*b^3 - 4*a^4*b*c)*d - (a^4*b^2 - 4*a^5*c)*e)*f^2 + 2*((a^2*b^3*c - 4*a^3*b*c^2)*d^2 - (a^3*b^2*c - 4*a^4*c^2)*d*e)*f + ((a^3*b^4*c - 6*a^4*b^2*c^2 + 8*a^5*c^3)*d - (a^4*b^3*c - 4*a^5*b*c^2)*e + 2*(a^5*b^2*c - 4*a^6*c^2)*f)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f - (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))) - sqrt(1/2)*a*x*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f - (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))*log(-2*(3*a*b^2*c^2*d^2*e^2 - 3*a^2*b*c^2*d*e^3 + a^3*c^2*e^4 - a^5*f^4 + (b^2*c^3 - a*c^4)*d^4 - (b^3*c^2 + a*b*c^3)*d^3*e + (a^4*b*e - (a^3*b^2 - 4*a^4*c)*d)*f^3 - 3*(a^3*b*c*d*e - (a^2*b^2*c - 2*a^3*c^2)*d^2)*f^2 + (3*a^2*b^2*c*d*e^2 - a^3*b*c*e^3 + (b^4*c - 3*a*b^2*c^2 + 4*a^2*c^3)*d^3 - 3*(a*b^3*c - a^2*b*c^2)*d^2*e)*f)*x - sqrt(1/2)*((b^5*c - 5*a*b^3*c^2 + 4*a^2*b*c^3)*d^3 - (3*a*b^4*c - 13*a^2*b^2*c^2 + 4*a^3*c^3)*d^2*e + 3*(a^2*b^3*c - 4*a^3*b*c^2)*d*e^2 - (a^3*b^2*c - 4*a^4*c^2)*e^3 - ((a^3*b^3 - 4*a^4*b*c)*d - (a^4*b^2 - 4*a^5*c)*e)*f^2 + 2*((a^2*b^3*c - 4*a^3*b*c^2)*d^2 - (a^3*b^2*c - 4*a^4*c^2)*d*e)*f + ((a^3*b^4*c - 6*a^4*b^2*c^2 + 8*a^5*c^3)*d - (a^4*b^3*c - 4*a^5*b*c^2)*e + 2*(a^5*b^2*c - 4*a^6*c^2)*f)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))*sqrt(-(a^2*b*c*e^2 + a^3*b*f^2 + (b^3*c - 3*a*b*c^2)*d^2 - 2*(a*b^2*c - 2*a^2*c^2)*d*e + 2*(a^2*b*c*d - 2*a^3*c*e)*f - (a^3*b^2*c - 4*a^4*c^2)*sqrt(-(4*a^3*b*c^2*d*e^3 - a^4*c^2*e^4 + 4*a^5*c*d*f^3 - a^6*f^4 - (b^4*c^2 - 2*a*b^2*c^3 + a^2*c^4)*d^4 + 4*(a*b^3*c^2 - a^2*b*c^3)*d^3*e - 2*(3*a^2*b^2*c^2 - a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e - a^5*c*e^2 - (a^3*b^2*c - 3*a^4*c^2)*d^2)*f^2 + 4*(2*a^3*b*c^2*d^2*e - a^4*c^2*d*e^2 - (a^2*b^2*c^2 - a^3*c^3)*d^3)*f)/(a^6*b^2*c^2 - 4*a^7*c^3)))/(a^3*b^2*c - 4*a^4*c^2))) + 2*d)/(a*x)","B",0
59,1,9850,0,11.248217," ","integrate((f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{\frac{1}{2}} a^{2} x^{3} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f + {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}} \log\left(2 \, {\left(a^{6} c f^{4} + {\left(b^{4} c^{3} - 3 \, a b^{2} c^{4} + a^{2} c^{5}\right)} d^{4} - {\left(b^{5} c^{2} - a b^{3} c^{3} - 3 \, a^{2} b c^{4}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{3} c^{2} - 5 \, a^{3} b c^{3}\right)} d e^{3} + {\left(a^{3} b^{2} c^{2} - a^{4} c^{3}\right)} e^{4} - {\left(3 \, a^{5} b c e - {\left(3 \, a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} d\right)} f^{3} + 3 \, {\left(a^{4} b^{2} c e^{2} + {\left(a^{2} b^{4} c - 3 \, a^{3} b^{2} c^{2} + 2 \, a^{4} c^{3}\right)} d^{2} - {\left(2 \, a^{3} b^{3} c - 3 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 5 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d^{3} - 3 \, {\left(a b^{5} c - 3 \, a^{2} b^{3} c^{2} + 3 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c - a^{3} b^{2} c^{2}\right)} d e^{2} - {\left(a^{3} b^{3} c + a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{8} - 8 \, a b^{6} c + 20 \, a^{2} b^{4} c^{2} - 17 \, a^{3} b^{2} c^{3} + 4 \, a^{4} c^{4}\right)} d^{3} - {\left(3 \, a b^{7} - 21 \, a^{2} b^{5} c + 41 \, a^{3} b^{3} c^{2} - 20 \, a^{4} b c^{3}\right)} d^{2} e + {\left(3 \, a^{2} b^{6} - 18 \, a^{3} b^{4} c + 25 \, a^{4} b^{2} c^{2} - 4 \, a^{5} c^{3}\right)} d e^{2} - {\left(a^{3} b^{5} - 5 \, a^{4} b^{3} c + 4 \, a^{5} b c^{2}\right)} e^{3} + {\left(a^{6} b^{2} - 4 \, a^{7} c\right)} f^{3} + 3 \, {\left({\left(a^{4} b^{4} - 5 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} d - {\left(a^{5} b^{3} - 4 \, a^{6} b c\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{6} - 19 \, a^{3} b^{4} c + 31 \, a^{4} b^{2} c^{2} - 12 \, a^{5} c^{3}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{5} - 16 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d e + {\left(3 \, a^{4} b^{4} - 13 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} e^{2}\right)} f - {\left({\left(a^{5} b^{5} - 7 \, a^{6} b^{3} c + 12 \, a^{7} b c^{2}\right)} d - {\left(a^{6} b^{4} - 6 \, a^{7} b^{2} c + 8 \, a^{8} c^{2}\right)} e + {\left(a^{7} b^{3} - 4 \, a^{8} b c\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}\right)} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f + {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}}\right) - 3 \, \sqrt{\frac{1}{2}} a^{2} x^{3} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f + {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}} \log\left(2 \, {\left(a^{6} c f^{4} + {\left(b^{4} c^{3} - 3 \, a b^{2} c^{4} + a^{2} c^{5}\right)} d^{4} - {\left(b^{5} c^{2} - a b^{3} c^{3} - 3 \, a^{2} b c^{4}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{3} c^{2} - 5 \, a^{3} b c^{3}\right)} d e^{3} + {\left(a^{3} b^{2} c^{2} - a^{4} c^{3}\right)} e^{4} - {\left(3 \, a^{5} b c e - {\left(3 \, a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} d\right)} f^{3} + 3 \, {\left(a^{4} b^{2} c e^{2} + {\left(a^{2} b^{4} c - 3 \, a^{3} b^{2} c^{2} + 2 \, a^{4} c^{3}\right)} d^{2} - {\left(2 \, a^{3} b^{3} c - 3 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 5 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d^{3} - 3 \, {\left(a b^{5} c - 3 \, a^{2} b^{3} c^{2} + 3 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c - a^{3} b^{2} c^{2}\right)} d e^{2} - {\left(a^{3} b^{3} c + a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{8} - 8 \, a b^{6} c + 20 \, a^{2} b^{4} c^{2} - 17 \, a^{3} b^{2} c^{3} + 4 \, a^{4} c^{4}\right)} d^{3} - {\left(3 \, a b^{7} - 21 \, a^{2} b^{5} c + 41 \, a^{3} b^{3} c^{2} - 20 \, a^{4} b c^{3}\right)} d^{2} e + {\left(3 \, a^{2} b^{6} - 18 \, a^{3} b^{4} c + 25 \, a^{4} b^{2} c^{2} - 4 \, a^{5} c^{3}\right)} d e^{2} - {\left(a^{3} b^{5} - 5 \, a^{4} b^{3} c + 4 \, a^{5} b c^{2}\right)} e^{3} + {\left(a^{6} b^{2} - 4 \, a^{7} c\right)} f^{3} + 3 \, {\left({\left(a^{4} b^{4} - 5 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} d - {\left(a^{5} b^{3} - 4 \, a^{6} b c\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{6} - 19 \, a^{3} b^{4} c + 31 \, a^{4} b^{2} c^{2} - 12 \, a^{5} c^{3}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{5} - 16 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d e + {\left(3 \, a^{4} b^{4} - 13 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} e^{2}\right)} f - {\left({\left(a^{5} b^{5} - 7 \, a^{6} b^{3} c + 12 \, a^{7} b c^{2}\right)} d - {\left(a^{6} b^{4} - 6 \, a^{7} b^{2} c + 8 \, a^{8} c^{2}\right)} e + {\left(a^{7} b^{3} - 4 \, a^{8} b c\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}\right)} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f + {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}}\right) + 3 \, \sqrt{\frac{1}{2}} a^{2} x^{3} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f - {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}} \log\left(2 \, {\left(a^{6} c f^{4} + {\left(b^{4} c^{3} - 3 \, a b^{2} c^{4} + a^{2} c^{5}\right)} d^{4} - {\left(b^{5} c^{2} - a b^{3} c^{3} - 3 \, a^{2} b c^{4}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{3} c^{2} - 5 \, a^{3} b c^{3}\right)} d e^{3} + {\left(a^{3} b^{2} c^{2} - a^{4} c^{3}\right)} e^{4} - {\left(3 \, a^{5} b c e - {\left(3 \, a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} d\right)} f^{3} + 3 \, {\left(a^{4} b^{2} c e^{2} + {\left(a^{2} b^{4} c - 3 \, a^{3} b^{2} c^{2} + 2 \, a^{4} c^{3}\right)} d^{2} - {\left(2 \, a^{3} b^{3} c - 3 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 5 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d^{3} - 3 \, {\left(a b^{5} c - 3 \, a^{2} b^{3} c^{2} + 3 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c - a^{3} b^{2} c^{2}\right)} d e^{2} - {\left(a^{3} b^{3} c + a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{8} - 8 \, a b^{6} c + 20 \, a^{2} b^{4} c^{2} - 17 \, a^{3} b^{2} c^{3} + 4 \, a^{4} c^{4}\right)} d^{3} - {\left(3 \, a b^{7} - 21 \, a^{2} b^{5} c + 41 \, a^{3} b^{3} c^{2} - 20 \, a^{4} b c^{3}\right)} d^{2} e + {\left(3 \, a^{2} b^{6} - 18 \, a^{3} b^{4} c + 25 \, a^{4} b^{2} c^{2} - 4 \, a^{5} c^{3}\right)} d e^{2} - {\left(a^{3} b^{5} - 5 \, a^{4} b^{3} c + 4 \, a^{5} b c^{2}\right)} e^{3} + {\left(a^{6} b^{2} - 4 \, a^{7} c\right)} f^{3} + 3 \, {\left({\left(a^{4} b^{4} - 5 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} d - {\left(a^{5} b^{3} - 4 \, a^{6} b c\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{6} - 19 \, a^{3} b^{4} c + 31 \, a^{4} b^{2} c^{2} - 12 \, a^{5} c^{3}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{5} - 16 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d e + {\left(3 \, a^{4} b^{4} - 13 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} e^{2}\right)} f + {\left({\left(a^{5} b^{5} - 7 \, a^{6} b^{3} c + 12 \, a^{7} b c^{2}\right)} d - {\left(a^{6} b^{4} - 6 \, a^{7} b^{2} c + 8 \, a^{8} c^{2}\right)} e + {\left(a^{7} b^{3} - 4 \, a^{8} b c\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}\right)} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f - {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}}\right) - 3 \, \sqrt{\frac{1}{2}} a^{2} x^{3} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f - {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}} \log\left(2 \, {\left(a^{6} c f^{4} + {\left(b^{4} c^{3} - 3 \, a b^{2} c^{4} + a^{2} c^{5}\right)} d^{4} - {\left(b^{5} c^{2} - a b^{3} c^{3} - 3 \, a^{2} b c^{4}\right)} d^{3} e + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{3} c^{2} - 5 \, a^{3} b c^{3}\right)} d e^{3} + {\left(a^{3} b^{2} c^{2} - a^{4} c^{3}\right)} e^{4} - {\left(3 \, a^{5} b c e - {\left(3 \, a^{4} b^{2} c - 4 \, a^{5} c^{2}\right)} d\right)} f^{3} + 3 \, {\left(a^{4} b^{2} c e^{2} + {\left(a^{2} b^{4} c - 3 \, a^{3} b^{2} c^{2} + 2 \, a^{4} c^{3}\right)} d^{2} - {\left(2 \, a^{3} b^{3} c - 3 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 5 \, a b^{4} c^{2} + 9 \, a^{2} b^{2} c^{3} - 4 \, a^{3} c^{4}\right)} d^{3} - 3 \, {\left(a b^{5} c - 3 \, a^{2} b^{3} c^{2} + 3 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c - a^{3} b^{2} c^{2}\right)} d e^{2} - {\left(a^{3} b^{3} c + a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{8} - 8 \, a b^{6} c + 20 \, a^{2} b^{4} c^{2} - 17 \, a^{3} b^{2} c^{3} + 4 \, a^{4} c^{4}\right)} d^{3} - {\left(3 \, a b^{7} - 21 \, a^{2} b^{5} c + 41 \, a^{3} b^{3} c^{2} - 20 \, a^{4} b c^{3}\right)} d^{2} e + {\left(3 \, a^{2} b^{6} - 18 \, a^{3} b^{4} c + 25 \, a^{4} b^{2} c^{2} - 4 \, a^{5} c^{3}\right)} d e^{2} - {\left(a^{3} b^{5} - 5 \, a^{4} b^{3} c + 4 \, a^{5} b c^{2}\right)} e^{3} + {\left(a^{6} b^{2} - 4 \, a^{7} c\right)} f^{3} + 3 \, {\left({\left(a^{4} b^{4} - 5 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} d - {\left(a^{5} b^{3} - 4 \, a^{6} b c\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{6} - 19 \, a^{3} b^{4} c + 31 \, a^{4} b^{2} c^{2} - 12 \, a^{5} c^{3}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{5} - 16 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d e + {\left(3 \, a^{4} b^{4} - 13 \, a^{5} b^{2} c + 4 \, a^{6} c^{2}\right)} e^{2}\right)} f + {\left({\left(a^{5} b^{5} - 7 \, a^{6} b^{3} c + 12 \, a^{7} b c^{2}\right)} d - {\left(a^{6} b^{4} - 6 \, a^{7} b^{2} c + 8 \, a^{8} c^{2}\right)} e + {\left(a^{7} b^{3} - 4 \, a^{8} b c\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}\right)} \sqrt{-\frac{a^{4} b f^{2} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} d^{2} - 2 \, {\left(a b^{4} - 4 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} d e + {\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} e^{2} + 2 \, {\left({\left(a^{2} b^{3} - 3 \, a^{3} b c\right)} d - {\left(a^{3} b^{2} - 2 \, a^{4} c\right)} e\right)} f - {\left(a^{5} b^{2} - 4 \, a^{6} c\right)} \sqrt{\frac{a^{8} f^{4} + {\left(b^{8} - 6 \, a b^{6} c + 11 \, a^{2} b^{4} c^{2} - 6 \, a^{3} b^{2} c^{3} + a^{4} c^{4}\right)} d^{4} - 4 \, {\left(a b^{7} - 5 \, a^{2} b^{5} c + 7 \, a^{3} b^{3} c^{2} - 2 \, a^{4} b c^{3}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{6} - 12 \, a^{3} b^{4} c + 12 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{5} - 3 \, a^{4} b^{3} c + 2 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 2 \, a^{5} b^{2} c + a^{6} c^{2}\right)} e^{4} - 4 \, {\left(a^{7} b e - {\left(a^{6} b^{2} - a^{7} c\right)} d\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{4} - 7 \, a^{5} b^{2} c + 3 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(3 \, a^{6} b^{2} - a^{7} c\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{6} - 4 \, a^{3} b^{4} c + 4 \, a^{4} b^{2} c^{2} - a^{5} c^{3}\right)} d^{3} - {\left(3 \, a^{3} b^{5} - 9 \, a^{4} b^{3} c + 5 \, a^{5} b c^{2}\right)} d^{2} e + {\left(3 \, a^{4} b^{4} - 6 \, a^{5} b^{2} c + a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{2} - 4 \, a^{11} c}}}{a^{5} b^{2} - 4 \, a^{6} c}}\right) - 6 \, {\left(b d - a e\right)} x^{2} + 2 \, a d}{6 \, a^{2} x^{3}}"," ",0,"-1/6*(3*sqrt(1/2)*a^2*x^3*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f + (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))*log(2*(a^6*c*f^4 + (b^4*c^3 - 3*a*b^2*c^4 + a^2*c^5)*d^4 - (b^5*c^2 - a*b^3*c^3 - 3*a^2*b*c^4)*d^3*e + 3*(a*b^4*c^2 - 2*a^2*b^2*c^3)*d^2*e^2 - (3*a^2*b^3*c^2 - 5*a^3*b*c^3)*d*e^3 + (a^3*b^2*c^2 - a^4*c^3)*e^4 - (3*a^5*b*c*e - (3*a^4*b^2*c - 4*a^5*c^2)*d)*f^3 + 3*(a^4*b^2*c*e^2 + (a^2*b^4*c - 3*a^3*b^2*c^2 + 2*a^4*c^3)*d^2 - (2*a^3*b^3*c - 3*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 5*a*b^4*c^2 + 9*a^2*b^2*c^3 - 4*a^3*c^4)*d^3 - 3*(a*b^5*c - 3*a^2*b^3*c^2 + 3*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c - a^3*b^2*c^2)*d*e^2 - (a^3*b^3*c + a^4*b*c^2)*e^3)*f)*x + sqrt(1/2)*((b^8 - 8*a*b^6*c + 20*a^2*b^4*c^2 - 17*a^3*b^2*c^3 + 4*a^4*c^4)*d^3 - (3*a*b^7 - 21*a^2*b^5*c + 41*a^3*b^3*c^2 - 20*a^4*b*c^3)*d^2*e + (3*a^2*b^6 - 18*a^3*b^4*c + 25*a^4*b^2*c^2 - 4*a^5*c^3)*d*e^2 - (a^3*b^5 - 5*a^4*b^3*c + 4*a^5*b*c^2)*e^3 + (a^6*b^2 - 4*a^7*c)*f^3 + 3*((a^4*b^4 - 5*a^5*b^2*c + 4*a^6*c^2)*d - (a^5*b^3 - 4*a^6*b*c)*e)*f^2 + ((3*a^2*b^6 - 19*a^3*b^4*c + 31*a^4*b^2*c^2 - 12*a^5*c^3)*d^2 - 2*(3*a^3*b^5 - 16*a^4*b^3*c + 16*a^5*b*c^2)*d*e + (3*a^4*b^4 - 13*a^5*b^2*c + 4*a^6*c^2)*e^2)*f - ((a^5*b^5 - 7*a^6*b^3*c + 12*a^7*b*c^2)*d - (a^6*b^4 - 6*a^7*b^2*c + 8*a^8*c^2)*e + (a^7*b^3 - 4*a^8*b*c)*f)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f + (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))) - 3*sqrt(1/2)*a^2*x^3*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f + (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))*log(2*(a^6*c*f^4 + (b^4*c^3 - 3*a*b^2*c^4 + a^2*c^5)*d^4 - (b^5*c^2 - a*b^3*c^3 - 3*a^2*b*c^4)*d^3*e + 3*(a*b^4*c^2 - 2*a^2*b^2*c^3)*d^2*e^2 - (3*a^2*b^3*c^2 - 5*a^3*b*c^3)*d*e^3 + (a^3*b^2*c^2 - a^4*c^3)*e^4 - (3*a^5*b*c*e - (3*a^4*b^2*c - 4*a^5*c^2)*d)*f^3 + 3*(a^4*b^2*c*e^2 + (a^2*b^4*c - 3*a^3*b^2*c^2 + 2*a^4*c^3)*d^2 - (2*a^3*b^3*c - 3*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 5*a*b^4*c^2 + 9*a^2*b^2*c^3 - 4*a^3*c^4)*d^3 - 3*(a*b^5*c - 3*a^2*b^3*c^2 + 3*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c - a^3*b^2*c^2)*d*e^2 - (a^3*b^3*c + a^4*b*c^2)*e^3)*f)*x - sqrt(1/2)*((b^8 - 8*a*b^6*c + 20*a^2*b^4*c^2 - 17*a^3*b^2*c^3 + 4*a^4*c^4)*d^3 - (3*a*b^7 - 21*a^2*b^5*c + 41*a^3*b^3*c^2 - 20*a^4*b*c^3)*d^2*e + (3*a^2*b^6 - 18*a^3*b^4*c + 25*a^4*b^2*c^2 - 4*a^5*c^3)*d*e^2 - (a^3*b^5 - 5*a^4*b^3*c + 4*a^5*b*c^2)*e^3 + (a^6*b^2 - 4*a^7*c)*f^3 + 3*((a^4*b^4 - 5*a^5*b^2*c + 4*a^6*c^2)*d - (a^5*b^3 - 4*a^6*b*c)*e)*f^2 + ((3*a^2*b^6 - 19*a^3*b^4*c + 31*a^4*b^2*c^2 - 12*a^5*c^3)*d^2 - 2*(3*a^3*b^5 - 16*a^4*b^3*c + 16*a^5*b*c^2)*d*e + (3*a^4*b^4 - 13*a^5*b^2*c + 4*a^6*c^2)*e^2)*f - ((a^5*b^5 - 7*a^6*b^3*c + 12*a^7*b*c^2)*d - (a^6*b^4 - 6*a^7*b^2*c + 8*a^8*c^2)*e + (a^7*b^3 - 4*a^8*b*c)*f)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f + (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))) + 3*sqrt(1/2)*a^2*x^3*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f - (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))*log(2*(a^6*c*f^4 + (b^4*c^3 - 3*a*b^2*c^4 + a^2*c^5)*d^4 - (b^5*c^2 - a*b^3*c^3 - 3*a^2*b*c^4)*d^3*e + 3*(a*b^4*c^2 - 2*a^2*b^2*c^3)*d^2*e^2 - (3*a^2*b^3*c^2 - 5*a^3*b*c^3)*d*e^3 + (a^3*b^2*c^2 - a^4*c^3)*e^4 - (3*a^5*b*c*e - (3*a^4*b^2*c - 4*a^5*c^2)*d)*f^3 + 3*(a^4*b^2*c*e^2 + (a^2*b^4*c - 3*a^3*b^2*c^2 + 2*a^4*c^3)*d^2 - (2*a^3*b^3*c - 3*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 5*a*b^4*c^2 + 9*a^2*b^2*c^3 - 4*a^3*c^4)*d^3 - 3*(a*b^5*c - 3*a^2*b^3*c^2 + 3*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c - a^3*b^2*c^2)*d*e^2 - (a^3*b^3*c + a^4*b*c^2)*e^3)*f)*x + sqrt(1/2)*((b^8 - 8*a*b^6*c + 20*a^2*b^4*c^2 - 17*a^3*b^2*c^3 + 4*a^4*c^4)*d^3 - (3*a*b^7 - 21*a^2*b^5*c + 41*a^3*b^3*c^2 - 20*a^4*b*c^3)*d^2*e + (3*a^2*b^6 - 18*a^3*b^4*c + 25*a^4*b^2*c^2 - 4*a^5*c^3)*d*e^2 - (a^3*b^5 - 5*a^4*b^3*c + 4*a^5*b*c^2)*e^3 + (a^6*b^2 - 4*a^7*c)*f^3 + 3*((a^4*b^4 - 5*a^5*b^2*c + 4*a^6*c^2)*d - (a^5*b^3 - 4*a^6*b*c)*e)*f^2 + ((3*a^2*b^6 - 19*a^3*b^4*c + 31*a^4*b^2*c^2 - 12*a^5*c^3)*d^2 - 2*(3*a^3*b^5 - 16*a^4*b^3*c + 16*a^5*b*c^2)*d*e + (3*a^4*b^4 - 13*a^5*b^2*c + 4*a^6*c^2)*e^2)*f + ((a^5*b^5 - 7*a^6*b^3*c + 12*a^7*b*c^2)*d - (a^6*b^4 - 6*a^7*b^2*c + 8*a^8*c^2)*e + (a^7*b^3 - 4*a^8*b*c)*f)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f - (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))) - 3*sqrt(1/2)*a^2*x^3*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f - (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))*log(2*(a^6*c*f^4 + (b^4*c^3 - 3*a*b^2*c^4 + a^2*c^5)*d^4 - (b^5*c^2 - a*b^3*c^3 - 3*a^2*b*c^4)*d^3*e + 3*(a*b^4*c^2 - 2*a^2*b^2*c^3)*d^2*e^2 - (3*a^2*b^3*c^2 - 5*a^3*b*c^3)*d*e^3 + (a^3*b^2*c^2 - a^4*c^3)*e^4 - (3*a^5*b*c*e - (3*a^4*b^2*c - 4*a^5*c^2)*d)*f^3 + 3*(a^4*b^2*c*e^2 + (a^2*b^4*c - 3*a^3*b^2*c^2 + 2*a^4*c^3)*d^2 - (2*a^3*b^3*c - 3*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 5*a*b^4*c^2 + 9*a^2*b^2*c^3 - 4*a^3*c^4)*d^3 - 3*(a*b^5*c - 3*a^2*b^3*c^2 + 3*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c - a^3*b^2*c^2)*d*e^2 - (a^3*b^3*c + a^4*b*c^2)*e^3)*f)*x - sqrt(1/2)*((b^8 - 8*a*b^6*c + 20*a^2*b^4*c^2 - 17*a^3*b^2*c^3 + 4*a^4*c^4)*d^3 - (3*a*b^7 - 21*a^2*b^5*c + 41*a^3*b^3*c^2 - 20*a^4*b*c^3)*d^2*e + (3*a^2*b^6 - 18*a^3*b^4*c + 25*a^4*b^2*c^2 - 4*a^5*c^3)*d*e^2 - (a^3*b^5 - 5*a^4*b^3*c + 4*a^5*b*c^2)*e^3 + (a^6*b^2 - 4*a^7*c)*f^3 + 3*((a^4*b^4 - 5*a^5*b^2*c + 4*a^6*c^2)*d - (a^5*b^3 - 4*a^6*b*c)*e)*f^2 + ((3*a^2*b^6 - 19*a^3*b^4*c + 31*a^4*b^2*c^2 - 12*a^5*c^3)*d^2 - 2*(3*a^3*b^5 - 16*a^4*b^3*c + 16*a^5*b*c^2)*d*e + (3*a^4*b^4 - 13*a^5*b^2*c + 4*a^6*c^2)*e^2)*f + ((a^5*b^5 - 7*a^6*b^3*c + 12*a^7*b*c^2)*d - (a^6*b^4 - 6*a^7*b^2*c + 8*a^8*c^2)*e + (a^7*b^3 - 4*a^8*b*c)*f)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))*sqrt(-(a^4*b*f^2 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*d^2 - 2*(a*b^4 - 4*a^2*b^2*c + 2*a^3*c^2)*d*e + (a^2*b^3 - 3*a^3*b*c)*e^2 + 2*((a^2*b^3 - 3*a^3*b*c)*d - (a^3*b^2 - 2*a^4*c)*e)*f - (a^5*b^2 - 4*a^6*c)*sqrt((a^8*f^4 + (b^8 - 6*a*b^6*c + 11*a^2*b^4*c^2 - 6*a^3*b^2*c^3 + a^4*c^4)*d^4 - 4*(a*b^7 - 5*a^2*b^5*c + 7*a^3*b^3*c^2 - 2*a^4*b*c^3)*d^3*e + 2*(3*a^2*b^6 - 12*a^3*b^4*c + 12*a^4*b^2*c^2 - a^5*c^3)*d^2*e^2 - 4*(a^3*b^5 - 3*a^4*b^3*c + 2*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 2*a^5*b^2*c + a^6*c^2)*e^4 - 4*(a^7*b*e - (a^6*b^2 - a^7*c)*d)*f^3 + 2*((3*a^4*b^4 - 7*a^5*b^2*c + 3*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (3*a^6*b^2 - a^7*c)*e^2)*f^2 + 4*((a^2*b^6 - 4*a^3*b^4*c + 4*a^4*b^2*c^2 - a^5*c^3)*d^3 - (3*a^3*b^5 - 9*a^4*b^3*c + 5*a^5*b*c^2)*d^2*e + (3*a^4*b^4 - 6*a^5*b^2*c + a^6*c^2)*d*e^2 - (a^5*b^3 - a^6*b*c)*e^3)*f)/(a^10*b^2 - 4*a^11*c)))/(a^5*b^2 - 4*a^6*c))) - 6*(b*d - a*e)*x^2 + 2*a*d)/(a^2*x^3)","B",0
60,1,15830,0,40.457762," ","integrate((f*x^4+e*x^2+d)/x^6/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","-\frac{15 \, \sqrt{\frac{1}{2}} a^{3} x^{5} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}} \log\left(-2 \, {\left({\left(b^{6} c^{4} - 5 \, a b^{4} c^{5} + 6 \, a^{2} b^{2} c^{6} - a^{3} c^{7}\right)} d^{4} - {\left(b^{7} c^{3} - 3 \, a b^{5} c^{4} - 2 \, a^{2} b^{3} c^{5} + 5 \, a^{3} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{6} c^{3} - 4 \, a^{2} b^{4} c^{4} + 3 \, a^{3} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{5} c^{3} - 11 \, a^{3} b^{3} c^{4} + 7 \, a^{4} b c^{5}\right)} d e^{3} + {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{2} c^{4} + a^{5} c^{5}\right)} e^{4} + {\left(a^{6} b^{2} c^{2} - a^{7} c^{3}\right)} f^{4} + {\left({\left(3 \, a^{4} b^{4} c^{2} - 9 \, a^{5} b^{2} c^{3} + 4 \, a^{6} c^{4}\right)} d - {\left(3 \, a^{5} b^{3} c^{2} - 5 \, a^{6} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a^{2} b^{6} c^{2} - 5 \, a^{3} b^{4} c^{3} + 7 \, a^{4} b^{2} c^{4} - 2 \, a^{5} c^{5}\right)} d^{2} - {\left(2 \, a^{3} b^{5} c^{2} - 7 \, a^{4} b^{3} c^{3} + 5 \, a^{5} b c^{4}\right)} d e + {\left(a^{4} b^{4} c^{2} - 2 \, a^{5} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(b^{8} c^{2} - 7 \, a b^{6} c^{3} + 18 \, a^{2} b^{4} c^{4} - 19 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} d^{3} - 3 \, {\left(a b^{7} c^{2} - 5 \, a^{2} b^{5} c^{3} + 8 \, a^{3} b^{3} c^{4} - 5 \, a^{4} b c^{5}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c^{2} - 3 \, a^{3} b^{4} c^{3} + a^{4} b^{2} c^{4}\right)} d e^{2} - {\left(a^{3} b^{5} c^{2} - a^{4} b^{3} c^{3} - 3 \, a^{5} b c^{4}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{11} - 11 \, a b^{9} c + 44 \, a^{2} b^{7} c^{2} - 77 \, a^{3} b^{5} c^{3} + 54 \, a^{4} b^{3} c^{4} - 8 \, a^{5} b c^{5}\right)} d^{3} - {\left(3 \, a b^{10} - 30 \, a^{2} b^{8} c + 105 \, a^{3} b^{6} c^{2} - 151 \, a^{4} b^{4} c^{3} + 77 \, a^{5} b^{2} c^{4} - 4 \, a^{6} c^{5}\right)} d^{2} e + {\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 81 \, a^{4} b^{5} c^{2} - 92 \, a^{5} b^{3} c^{3} + 32 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 8 \, a^{4} b^{6} c + 20 \, a^{5} b^{4} c^{2} - 17 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} e^{3} + {\left(a^{6} b^{5} - 5 \, a^{7} b^{3} c + 4 \, a^{8} b c^{2}\right)} f^{3} + {\left({\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 40 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(3 \, a^{5} b^{6} - 18 \, a^{6} b^{4} c + 25 \, a^{7} b^{2} c^{2} - 4 \, a^{8} c^{3}\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 80 \, a^{4} b^{5} c^{2} - 85 \, a^{5} b^{3} c^{3} + 20 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 24 \, a^{4} b^{6} c + 59 \, a^{5} b^{4} c^{2} - 45 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} d e + {\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 41 \, a^{6} b^{3} c^{2} - 20 \, a^{7} b c^{3}\right)} e^{2}\right)} f - {\left({\left(a^{7} b^{6} - 8 \, a^{8} b^{4} c + 18 \, a^{9} b^{2} c^{2} - 8 \, a^{10} c^{3}\right)} d - {\left(a^{8} b^{5} - 7 \, a^{9} b^{3} c + 12 \, a^{10} b c^{2}\right)} e + {\left(a^{9} b^{4} - 6 \, a^{10} b^{2} c + 8 \, a^{11} c^{2}\right)} f\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}\right)} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}}\right) - 15 \, \sqrt{\frac{1}{2}} a^{3} x^{5} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}} \log\left(-2 \, {\left({\left(b^{6} c^{4} - 5 \, a b^{4} c^{5} + 6 \, a^{2} b^{2} c^{6} - a^{3} c^{7}\right)} d^{4} - {\left(b^{7} c^{3} - 3 \, a b^{5} c^{4} - 2 \, a^{2} b^{3} c^{5} + 5 \, a^{3} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{6} c^{3} - 4 \, a^{2} b^{4} c^{4} + 3 \, a^{3} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{5} c^{3} - 11 \, a^{3} b^{3} c^{4} + 7 \, a^{4} b c^{5}\right)} d e^{3} + {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{2} c^{4} + a^{5} c^{5}\right)} e^{4} + {\left(a^{6} b^{2} c^{2} - a^{7} c^{3}\right)} f^{4} + {\left({\left(3 \, a^{4} b^{4} c^{2} - 9 \, a^{5} b^{2} c^{3} + 4 \, a^{6} c^{4}\right)} d - {\left(3 \, a^{5} b^{3} c^{2} - 5 \, a^{6} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a^{2} b^{6} c^{2} - 5 \, a^{3} b^{4} c^{3} + 7 \, a^{4} b^{2} c^{4} - 2 \, a^{5} c^{5}\right)} d^{2} - {\left(2 \, a^{3} b^{5} c^{2} - 7 \, a^{4} b^{3} c^{3} + 5 \, a^{5} b c^{4}\right)} d e + {\left(a^{4} b^{4} c^{2} - 2 \, a^{5} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(b^{8} c^{2} - 7 \, a b^{6} c^{3} + 18 \, a^{2} b^{4} c^{4} - 19 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} d^{3} - 3 \, {\left(a b^{7} c^{2} - 5 \, a^{2} b^{5} c^{3} + 8 \, a^{3} b^{3} c^{4} - 5 \, a^{4} b c^{5}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c^{2} - 3 \, a^{3} b^{4} c^{3} + a^{4} b^{2} c^{4}\right)} d e^{2} - {\left(a^{3} b^{5} c^{2} - a^{4} b^{3} c^{3} - 3 \, a^{5} b c^{4}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{11} - 11 \, a b^{9} c + 44 \, a^{2} b^{7} c^{2} - 77 \, a^{3} b^{5} c^{3} + 54 \, a^{4} b^{3} c^{4} - 8 \, a^{5} b c^{5}\right)} d^{3} - {\left(3 \, a b^{10} - 30 \, a^{2} b^{8} c + 105 \, a^{3} b^{6} c^{2} - 151 \, a^{4} b^{4} c^{3} + 77 \, a^{5} b^{2} c^{4} - 4 \, a^{6} c^{5}\right)} d^{2} e + {\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 81 \, a^{4} b^{5} c^{2} - 92 \, a^{5} b^{3} c^{3} + 32 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 8 \, a^{4} b^{6} c + 20 \, a^{5} b^{4} c^{2} - 17 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} e^{3} + {\left(a^{6} b^{5} - 5 \, a^{7} b^{3} c + 4 \, a^{8} b c^{2}\right)} f^{3} + {\left({\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 40 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(3 \, a^{5} b^{6} - 18 \, a^{6} b^{4} c + 25 \, a^{7} b^{2} c^{2} - 4 \, a^{8} c^{3}\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 80 \, a^{4} b^{5} c^{2} - 85 \, a^{5} b^{3} c^{3} + 20 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 24 \, a^{4} b^{6} c + 59 \, a^{5} b^{4} c^{2} - 45 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} d e + {\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 41 \, a^{6} b^{3} c^{2} - 20 \, a^{7} b c^{3}\right)} e^{2}\right)} f - {\left({\left(a^{7} b^{6} - 8 \, a^{8} b^{4} c + 18 \, a^{9} b^{2} c^{2} - 8 \, a^{10} c^{3}\right)} d - {\left(a^{8} b^{5} - 7 \, a^{9} b^{3} c + 12 \, a^{10} b c^{2}\right)} e + {\left(a^{9} b^{4} - 6 \, a^{10} b^{2} c + 8 \, a^{11} c^{2}\right)} f\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}\right)} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}}\right) + 15 \, \sqrt{\frac{1}{2}} a^{3} x^{5} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}} \log\left(-2 \, {\left({\left(b^{6} c^{4} - 5 \, a b^{4} c^{5} + 6 \, a^{2} b^{2} c^{6} - a^{3} c^{7}\right)} d^{4} - {\left(b^{7} c^{3} - 3 \, a b^{5} c^{4} - 2 \, a^{2} b^{3} c^{5} + 5 \, a^{3} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{6} c^{3} - 4 \, a^{2} b^{4} c^{4} + 3 \, a^{3} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{5} c^{3} - 11 \, a^{3} b^{3} c^{4} + 7 \, a^{4} b c^{5}\right)} d e^{3} + {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{2} c^{4} + a^{5} c^{5}\right)} e^{4} + {\left(a^{6} b^{2} c^{2} - a^{7} c^{3}\right)} f^{4} + {\left({\left(3 \, a^{4} b^{4} c^{2} - 9 \, a^{5} b^{2} c^{3} + 4 \, a^{6} c^{4}\right)} d - {\left(3 \, a^{5} b^{3} c^{2} - 5 \, a^{6} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a^{2} b^{6} c^{2} - 5 \, a^{3} b^{4} c^{3} + 7 \, a^{4} b^{2} c^{4} - 2 \, a^{5} c^{5}\right)} d^{2} - {\left(2 \, a^{3} b^{5} c^{2} - 7 \, a^{4} b^{3} c^{3} + 5 \, a^{5} b c^{4}\right)} d e + {\left(a^{4} b^{4} c^{2} - 2 \, a^{5} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(b^{8} c^{2} - 7 \, a b^{6} c^{3} + 18 \, a^{2} b^{4} c^{4} - 19 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} d^{3} - 3 \, {\left(a b^{7} c^{2} - 5 \, a^{2} b^{5} c^{3} + 8 \, a^{3} b^{3} c^{4} - 5 \, a^{4} b c^{5}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c^{2} - 3 \, a^{3} b^{4} c^{3} + a^{4} b^{2} c^{4}\right)} d e^{2} - {\left(a^{3} b^{5} c^{2} - a^{4} b^{3} c^{3} - 3 \, a^{5} b c^{4}\right)} e^{3}\right)} f\right)} x + \sqrt{\frac{1}{2}} {\left({\left(b^{11} - 11 \, a b^{9} c + 44 \, a^{2} b^{7} c^{2} - 77 \, a^{3} b^{5} c^{3} + 54 \, a^{4} b^{3} c^{4} - 8 \, a^{5} b c^{5}\right)} d^{3} - {\left(3 \, a b^{10} - 30 \, a^{2} b^{8} c + 105 \, a^{3} b^{6} c^{2} - 151 \, a^{4} b^{4} c^{3} + 77 \, a^{5} b^{2} c^{4} - 4 \, a^{6} c^{5}\right)} d^{2} e + {\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 81 \, a^{4} b^{5} c^{2} - 92 \, a^{5} b^{3} c^{3} + 32 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 8 \, a^{4} b^{6} c + 20 \, a^{5} b^{4} c^{2} - 17 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} e^{3} + {\left(a^{6} b^{5} - 5 \, a^{7} b^{3} c + 4 \, a^{8} b c^{2}\right)} f^{3} + {\left({\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 40 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(3 \, a^{5} b^{6} - 18 \, a^{6} b^{4} c + 25 \, a^{7} b^{2} c^{2} - 4 \, a^{8} c^{3}\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 80 \, a^{4} b^{5} c^{2} - 85 \, a^{5} b^{3} c^{3} + 20 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 24 \, a^{4} b^{6} c + 59 \, a^{5} b^{4} c^{2} - 45 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} d e + {\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 41 \, a^{6} b^{3} c^{2} - 20 \, a^{7} b c^{3}\right)} e^{2}\right)} f + {\left({\left(a^{7} b^{6} - 8 \, a^{8} b^{4} c + 18 \, a^{9} b^{2} c^{2} - 8 \, a^{10} c^{3}\right)} d - {\left(a^{8} b^{5} - 7 \, a^{9} b^{3} c + 12 \, a^{10} b c^{2}\right)} e + {\left(a^{9} b^{4} - 6 \, a^{10} b^{2} c + 8 \, a^{11} c^{2}\right)} f\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}\right)} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}}\right) - 15 \, \sqrt{\frac{1}{2}} a^{3} x^{5} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}} \log\left(-2 \, {\left({\left(b^{6} c^{4} - 5 \, a b^{4} c^{5} + 6 \, a^{2} b^{2} c^{6} - a^{3} c^{7}\right)} d^{4} - {\left(b^{7} c^{3} - 3 \, a b^{5} c^{4} - 2 \, a^{2} b^{3} c^{5} + 5 \, a^{3} b c^{6}\right)} d^{3} e + 3 \, {\left(a b^{6} c^{3} - 4 \, a^{2} b^{4} c^{4} + 3 \, a^{3} b^{2} c^{5}\right)} d^{2} e^{2} - {\left(3 \, a^{2} b^{5} c^{3} - 11 \, a^{3} b^{3} c^{4} + 7 \, a^{4} b c^{5}\right)} d e^{3} + {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{2} c^{4} + a^{5} c^{5}\right)} e^{4} + {\left(a^{6} b^{2} c^{2} - a^{7} c^{3}\right)} f^{4} + {\left({\left(3 \, a^{4} b^{4} c^{2} - 9 \, a^{5} b^{2} c^{3} + 4 \, a^{6} c^{4}\right)} d - {\left(3 \, a^{5} b^{3} c^{2} - 5 \, a^{6} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(a^{2} b^{6} c^{2} - 5 \, a^{3} b^{4} c^{3} + 7 \, a^{4} b^{2} c^{4} - 2 \, a^{5} c^{5}\right)} d^{2} - {\left(2 \, a^{3} b^{5} c^{2} - 7 \, a^{4} b^{3} c^{3} + 5 \, a^{5} b c^{4}\right)} d e + {\left(a^{4} b^{4} c^{2} - 2 \, a^{5} b^{2} c^{3}\right)} e^{2}\right)} f^{2} + {\left({\left(b^{8} c^{2} - 7 \, a b^{6} c^{3} + 18 \, a^{2} b^{4} c^{4} - 19 \, a^{3} b^{2} c^{5} + 4 \, a^{4} c^{6}\right)} d^{3} - 3 \, {\left(a b^{7} c^{2} - 5 \, a^{2} b^{5} c^{3} + 8 \, a^{3} b^{3} c^{4} - 5 \, a^{4} b c^{5}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c^{2} - 3 \, a^{3} b^{4} c^{3} + a^{4} b^{2} c^{4}\right)} d e^{2} - {\left(a^{3} b^{5} c^{2} - a^{4} b^{3} c^{3} - 3 \, a^{5} b c^{4}\right)} e^{3}\right)} f\right)} x - \sqrt{\frac{1}{2}} {\left({\left(b^{11} - 11 \, a b^{9} c + 44 \, a^{2} b^{7} c^{2} - 77 \, a^{3} b^{5} c^{3} + 54 \, a^{4} b^{3} c^{4} - 8 \, a^{5} b c^{5}\right)} d^{3} - {\left(3 \, a b^{10} - 30 \, a^{2} b^{8} c + 105 \, a^{3} b^{6} c^{2} - 151 \, a^{4} b^{4} c^{3} + 77 \, a^{5} b^{2} c^{4} - 4 \, a^{6} c^{5}\right)} d^{2} e + {\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 81 \, a^{4} b^{5} c^{2} - 92 \, a^{5} b^{3} c^{3} + 32 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 8 \, a^{4} b^{6} c + 20 \, a^{5} b^{4} c^{2} - 17 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} e^{3} + {\left(a^{6} b^{5} - 5 \, a^{7} b^{3} c + 4 \, a^{8} b c^{2}\right)} f^{3} + {\left({\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 40 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(3 \, a^{5} b^{6} - 18 \, a^{6} b^{4} c + 25 \, a^{7} b^{2} c^{2} - 4 \, a^{8} c^{3}\right)} e\right)} f^{2} + {\left({\left(3 \, a^{2} b^{9} - 27 \, a^{3} b^{7} c + 80 \, a^{4} b^{5} c^{2} - 85 \, a^{5} b^{3} c^{3} + 20 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 24 \, a^{4} b^{6} c + 59 \, a^{5} b^{4} c^{2} - 45 \, a^{6} b^{2} c^{3} + 4 \, a^{7} c^{4}\right)} d e + {\left(3 \, a^{4} b^{7} - 21 \, a^{5} b^{5} c + 41 \, a^{6} b^{3} c^{2} - 20 \, a^{7} b c^{3}\right)} e^{2}\right)} f + {\left({\left(a^{7} b^{6} - 8 \, a^{8} b^{4} c + 18 \, a^{9} b^{2} c^{2} - 8 \, a^{10} c^{3}\right)} d - {\left(a^{8} b^{5} - 7 \, a^{9} b^{3} c + 12 \, a^{10} b c^{2}\right)} e + {\left(a^{9} b^{4} - 6 \, a^{10} b^{2} c + 8 \, a^{11} c^{2}\right)} f\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}\right)} \sqrt{-\frac{{\left(b^{7} - 7 \, a b^{5} c + 14 \, a^{2} b^{3} c^{2} - 7 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(a b^{6} - 6 \, a^{2} b^{4} c + 9 \, a^{3} b^{2} c^{2} - 2 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} - 3 \, a^{5} b c\right)} f^{2} + 2 \, {\left({\left(a^{2} b^{5} - 5 \, a^{3} b^{3} c + 5 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 4 \, a^{4} b^{2} c + 2 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{7} b^{2} - 4 \, a^{8} c\right)} \sqrt{\frac{{\left(b^{12} - 10 \, a b^{10} c + 37 \, a^{2} b^{8} c^{2} - 62 \, a^{3} b^{6} c^{3} + 46 \, a^{4} b^{4} c^{4} - 12 \, a^{5} b^{2} c^{5} + a^{6} c^{6}\right)} d^{4} - 4 \, {\left(a b^{11} - 9 \, a^{2} b^{9} c + 29 \, a^{3} b^{7} c^{2} - 40 \, a^{4} b^{5} c^{3} + 22 \, a^{5} b^{3} c^{4} - 3 \, a^{6} b c^{5}\right)} d^{3} e + 2 \, {\left(3 \, a^{2} b^{10} - 24 \, a^{3} b^{8} c + 66 \, a^{4} b^{6} c^{2} - 72 \, a^{5} b^{4} c^{3} + 27 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{2} e^{2} - 4 \, {\left(a^{3} b^{9} - 7 \, a^{4} b^{7} c + 16 \, a^{5} b^{5} c^{2} - 13 \, a^{6} b^{3} c^{3} + 3 \, a^{7} b c^{4}\right)} d e^{3} + {\left(a^{4} b^{8} - 6 \, a^{5} b^{6} c + 11 \, a^{6} b^{4} c^{2} - 6 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} e^{4} + {\left(a^{8} b^{4} - 2 \, a^{9} b^{2} c + a^{10} c^{2}\right)} f^{4} + 4 \, {\left({\left(a^{6} b^{6} - 4 \, a^{7} b^{4} c + 4 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} d - {\left(a^{7} b^{5} - 3 \, a^{8} b^{3} c + 2 \, a^{9} b c^{2}\right)} e\right)} f^{3} + 2 \, {\left({\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 19 \, a^{7} b^{2} c^{3} + 3 \, a^{8} c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{7} - 15 \, a^{6} b^{5} c + 21 \, a^{7} b^{3} c^{2} - 7 \, a^{8} b c^{3}\right)} d e + {\left(3 \, a^{6} b^{6} - 12 \, a^{7} b^{4} c + 12 \, a^{8} b^{2} c^{2} - a^{9} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left({\left(a^{2} b^{10} - 8 \, a^{3} b^{8} c + 22 \, a^{4} b^{6} c^{2} - 24 \, a^{5} b^{4} c^{3} + 9 \, a^{6} b^{2} c^{4} - a^{7} c^{5}\right)} d^{3} - {\left(3 \, a^{3} b^{9} - 21 \, a^{4} b^{7} c + 48 \, a^{5} b^{5} c^{2} - 39 \, a^{6} b^{3} c^{3} + 8 \, a^{7} b c^{4}\right)} d^{2} e + {\left(3 \, a^{4} b^{8} - 18 \, a^{5} b^{6} c + 33 \, a^{6} b^{4} c^{2} - 18 \, a^{7} b^{2} c^{3} + a^{8} c^{4}\right)} d e^{2} - {\left(a^{5} b^{7} - 5 \, a^{6} b^{5} c + 7 \, a^{7} b^{3} c^{2} - 2 \, a^{8} b c^{3}\right)} e^{3}\right)} f}{a^{14} b^{2} - 4 \, a^{15} c}}}{a^{7} b^{2} - 4 \, a^{8} c}}\right) - 30 \, {\left(a b e - a^{2} f - {\left(b^{2} - a c\right)} d\right)} x^{4} + 6 \, a^{2} d - 10 \, {\left(a b d - a^{2} e\right)} x^{2}}{30 \, a^{3} x^{5}}"," ",0,"-1/30*(15*sqrt(1/2)*a^3*x^5*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f + (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))*log(-2*((b^6*c^4 - 5*a*b^4*c^5 + 6*a^2*b^2*c^6 - a^3*c^7)*d^4 - (b^7*c^3 - 3*a*b^5*c^4 - 2*a^2*b^3*c^5 + 5*a^3*b*c^6)*d^3*e + 3*(a*b^6*c^3 - 4*a^2*b^4*c^4 + 3*a^3*b^2*c^5)*d^2*e^2 - (3*a^2*b^5*c^3 - 11*a^3*b^3*c^4 + 7*a^4*b*c^5)*d*e^3 + (a^3*b^4*c^3 - 3*a^4*b^2*c^4 + a^5*c^5)*e^4 + (a^6*b^2*c^2 - a^7*c^3)*f^4 + ((3*a^4*b^4*c^2 - 9*a^5*b^2*c^3 + 4*a^6*c^4)*d - (3*a^5*b^3*c^2 - 5*a^6*b*c^3)*e)*f^3 + 3*((a^2*b^6*c^2 - 5*a^3*b^4*c^3 + 7*a^4*b^2*c^4 - 2*a^5*c^5)*d^2 - (2*a^3*b^5*c^2 - 7*a^4*b^3*c^3 + 5*a^5*b*c^4)*d*e + (a^4*b^4*c^2 - 2*a^5*b^2*c^3)*e^2)*f^2 + ((b^8*c^2 - 7*a*b^6*c^3 + 18*a^2*b^4*c^4 - 19*a^3*b^2*c^5 + 4*a^4*c^6)*d^3 - 3*(a*b^7*c^2 - 5*a^2*b^5*c^3 + 8*a^3*b^3*c^4 - 5*a^4*b*c^5)*d^2*e + 3*(a^2*b^6*c^2 - 3*a^3*b^4*c^3 + a^4*b^2*c^4)*d*e^2 - (a^3*b^5*c^2 - a^4*b^3*c^3 - 3*a^5*b*c^4)*e^3)*f)*x + sqrt(1/2)*((b^11 - 11*a*b^9*c + 44*a^2*b^7*c^2 - 77*a^3*b^5*c^3 + 54*a^4*b^3*c^4 - 8*a^5*b*c^5)*d^3 - (3*a*b^10 - 30*a^2*b^8*c + 105*a^3*b^6*c^2 - 151*a^4*b^4*c^3 + 77*a^5*b^2*c^4 - 4*a^6*c^5)*d^2*e + (3*a^2*b^9 - 27*a^3*b^7*c + 81*a^4*b^5*c^2 - 92*a^5*b^3*c^3 + 32*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 8*a^4*b^6*c + 20*a^5*b^4*c^2 - 17*a^6*b^2*c^3 + 4*a^7*c^4)*e^3 + (a^6*b^5 - 5*a^7*b^3*c + 4*a^8*b*c^2)*f^3 + ((3*a^4*b^7 - 21*a^5*b^5*c + 40*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (3*a^5*b^6 - 18*a^6*b^4*c + 25*a^7*b^2*c^2 - 4*a^8*c^3)*e)*f^2 + ((3*a^2*b^9 - 27*a^3*b^7*c + 80*a^4*b^5*c^2 - 85*a^5*b^3*c^3 + 20*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 24*a^4*b^6*c + 59*a^5*b^4*c^2 - 45*a^6*b^2*c^3 + 4*a^7*c^4)*d*e + (3*a^4*b^7 - 21*a^5*b^5*c + 41*a^6*b^3*c^2 - 20*a^7*b*c^3)*e^2)*f - ((a^7*b^6 - 8*a^8*b^4*c + 18*a^9*b^2*c^2 - 8*a^10*c^3)*d - (a^8*b^5 - 7*a^9*b^3*c + 12*a^10*b*c^2)*e + (a^9*b^4 - 6*a^10*b^2*c + 8*a^11*c^2)*f)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f + (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))) - 15*sqrt(1/2)*a^3*x^5*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f + (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))*log(-2*((b^6*c^4 - 5*a*b^4*c^5 + 6*a^2*b^2*c^6 - a^3*c^7)*d^4 - (b^7*c^3 - 3*a*b^5*c^4 - 2*a^2*b^3*c^5 + 5*a^3*b*c^6)*d^3*e + 3*(a*b^6*c^3 - 4*a^2*b^4*c^4 + 3*a^3*b^2*c^5)*d^2*e^2 - (3*a^2*b^5*c^3 - 11*a^3*b^3*c^4 + 7*a^4*b*c^5)*d*e^3 + (a^3*b^4*c^3 - 3*a^4*b^2*c^4 + a^5*c^5)*e^4 + (a^6*b^2*c^2 - a^7*c^3)*f^4 + ((3*a^4*b^4*c^2 - 9*a^5*b^2*c^3 + 4*a^6*c^4)*d - (3*a^5*b^3*c^2 - 5*a^6*b*c^3)*e)*f^3 + 3*((a^2*b^6*c^2 - 5*a^3*b^4*c^3 + 7*a^4*b^2*c^4 - 2*a^5*c^5)*d^2 - (2*a^3*b^5*c^2 - 7*a^4*b^3*c^3 + 5*a^5*b*c^4)*d*e + (a^4*b^4*c^2 - 2*a^5*b^2*c^3)*e^2)*f^2 + ((b^8*c^2 - 7*a*b^6*c^3 + 18*a^2*b^4*c^4 - 19*a^3*b^2*c^5 + 4*a^4*c^6)*d^3 - 3*(a*b^7*c^2 - 5*a^2*b^5*c^3 + 8*a^3*b^3*c^4 - 5*a^4*b*c^5)*d^2*e + 3*(a^2*b^6*c^2 - 3*a^3*b^4*c^3 + a^4*b^2*c^4)*d*e^2 - (a^3*b^5*c^2 - a^4*b^3*c^3 - 3*a^5*b*c^4)*e^3)*f)*x - sqrt(1/2)*((b^11 - 11*a*b^9*c + 44*a^2*b^7*c^2 - 77*a^3*b^5*c^3 + 54*a^4*b^3*c^4 - 8*a^5*b*c^5)*d^3 - (3*a*b^10 - 30*a^2*b^8*c + 105*a^3*b^6*c^2 - 151*a^4*b^4*c^3 + 77*a^5*b^2*c^4 - 4*a^6*c^5)*d^2*e + (3*a^2*b^9 - 27*a^3*b^7*c + 81*a^4*b^5*c^2 - 92*a^5*b^3*c^3 + 32*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 8*a^4*b^6*c + 20*a^5*b^4*c^2 - 17*a^6*b^2*c^3 + 4*a^7*c^4)*e^3 + (a^6*b^5 - 5*a^7*b^3*c + 4*a^8*b*c^2)*f^3 + ((3*a^4*b^7 - 21*a^5*b^5*c + 40*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (3*a^5*b^6 - 18*a^6*b^4*c + 25*a^7*b^2*c^2 - 4*a^8*c^3)*e)*f^2 + ((3*a^2*b^9 - 27*a^3*b^7*c + 80*a^4*b^5*c^2 - 85*a^5*b^3*c^3 + 20*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 24*a^4*b^6*c + 59*a^5*b^4*c^2 - 45*a^6*b^2*c^3 + 4*a^7*c^4)*d*e + (3*a^4*b^7 - 21*a^5*b^5*c + 41*a^6*b^3*c^2 - 20*a^7*b*c^3)*e^2)*f - ((a^7*b^6 - 8*a^8*b^4*c + 18*a^9*b^2*c^2 - 8*a^10*c^3)*d - (a^8*b^5 - 7*a^9*b^3*c + 12*a^10*b*c^2)*e + (a^9*b^4 - 6*a^10*b^2*c + 8*a^11*c^2)*f)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f + (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))) + 15*sqrt(1/2)*a^3*x^5*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f - (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))*log(-2*((b^6*c^4 - 5*a*b^4*c^5 + 6*a^2*b^2*c^6 - a^3*c^7)*d^4 - (b^7*c^3 - 3*a*b^5*c^4 - 2*a^2*b^3*c^5 + 5*a^3*b*c^6)*d^3*e + 3*(a*b^6*c^3 - 4*a^2*b^4*c^4 + 3*a^3*b^2*c^5)*d^2*e^2 - (3*a^2*b^5*c^3 - 11*a^3*b^3*c^4 + 7*a^4*b*c^5)*d*e^3 + (a^3*b^4*c^3 - 3*a^4*b^2*c^4 + a^5*c^5)*e^4 + (a^6*b^2*c^2 - a^7*c^3)*f^4 + ((3*a^4*b^4*c^2 - 9*a^5*b^2*c^3 + 4*a^6*c^4)*d - (3*a^5*b^3*c^2 - 5*a^6*b*c^3)*e)*f^3 + 3*((a^2*b^6*c^2 - 5*a^3*b^4*c^3 + 7*a^4*b^2*c^4 - 2*a^5*c^5)*d^2 - (2*a^3*b^5*c^2 - 7*a^4*b^3*c^3 + 5*a^5*b*c^4)*d*e + (a^4*b^4*c^2 - 2*a^5*b^2*c^3)*e^2)*f^2 + ((b^8*c^2 - 7*a*b^6*c^3 + 18*a^2*b^4*c^4 - 19*a^3*b^2*c^5 + 4*a^4*c^6)*d^3 - 3*(a*b^7*c^2 - 5*a^2*b^5*c^3 + 8*a^3*b^3*c^4 - 5*a^4*b*c^5)*d^2*e + 3*(a^2*b^6*c^2 - 3*a^3*b^4*c^3 + a^4*b^2*c^4)*d*e^2 - (a^3*b^5*c^2 - a^4*b^3*c^3 - 3*a^5*b*c^4)*e^3)*f)*x + sqrt(1/2)*((b^11 - 11*a*b^9*c + 44*a^2*b^7*c^2 - 77*a^3*b^5*c^3 + 54*a^4*b^3*c^4 - 8*a^5*b*c^5)*d^3 - (3*a*b^10 - 30*a^2*b^8*c + 105*a^3*b^6*c^2 - 151*a^4*b^4*c^3 + 77*a^5*b^2*c^4 - 4*a^6*c^5)*d^2*e + (3*a^2*b^9 - 27*a^3*b^7*c + 81*a^4*b^5*c^2 - 92*a^5*b^3*c^3 + 32*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 8*a^4*b^6*c + 20*a^5*b^4*c^2 - 17*a^6*b^2*c^3 + 4*a^7*c^4)*e^3 + (a^6*b^5 - 5*a^7*b^3*c + 4*a^8*b*c^2)*f^3 + ((3*a^4*b^7 - 21*a^5*b^5*c + 40*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (3*a^5*b^6 - 18*a^6*b^4*c + 25*a^7*b^2*c^2 - 4*a^8*c^3)*e)*f^2 + ((3*a^2*b^9 - 27*a^3*b^7*c + 80*a^4*b^5*c^2 - 85*a^5*b^3*c^3 + 20*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 24*a^4*b^6*c + 59*a^5*b^4*c^2 - 45*a^6*b^2*c^3 + 4*a^7*c^4)*d*e + (3*a^4*b^7 - 21*a^5*b^5*c + 41*a^6*b^3*c^2 - 20*a^7*b*c^3)*e^2)*f + ((a^7*b^6 - 8*a^8*b^4*c + 18*a^9*b^2*c^2 - 8*a^10*c^3)*d - (a^8*b^5 - 7*a^9*b^3*c + 12*a^10*b*c^2)*e + (a^9*b^4 - 6*a^10*b^2*c + 8*a^11*c^2)*f)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f - (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))) - 15*sqrt(1/2)*a^3*x^5*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f - (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))*log(-2*((b^6*c^4 - 5*a*b^4*c^5 + 6*a^2*b^2*c^6 - a^3*c^7)*d^4 - (b^7*c^3 - 3*a*b^5*c^4 - 2*a^2*b^3*c^5 + 5*a^3*b*c^6)*d^3*e + 3*(a*b^6*c^3 - 4*a^2*b^4*c^4 + 3*a^3*b^2*c^5)*d^2*e^2 - (3*a^2*b^5*c^3 - 11*a^3*b^3*c^4 + 7*a^4*b*c^5)*d*e^3 + (a^3*b^4*c^3 - 3*a^4*b^2*c^4 + a^5*c^5)*e^4 + (a^6*b^2*c^2 - a^7*c^3)*f^4 + ((3*a^4*b^4*c^2 - 9*a^5*b^2*c^3 + 4*a^6*c^4)*d - (3*a^5*b^3*c^2 - 5*a^6*b*c^3)*e)*f^3 + 3*((a^2*b^6*c^2 - 5*a^3*b^4*c^3 + 7*a^4*b^2*c^4 - 2*a^5*c^5)*d^2 - (2*a^3*b^5*c^2 - 7*a^4*b^3*c^3 + 5*a^5*b*c^4)*d*e + (a^4*b^4*c^2 - 2*a^5*b^2*c^3)*e^2)*f^2 + ((b^8*c^2 - 7*a*b^6*c^3 + 18*a^2*b^4*c^4 - 19*a^3*b^2*c^5 + 4*a^4*c^6)*d^3 - 3*(a*b^7*c^2 - 5*a^2*b^5*c^3 + 8*a^3*b^3*c^4 - 5*a^4*b*c^5)*d^2*e + 3*(a^2*b^6*c^2 - 3*a^3*b^4*c^3 + a^4*b^2*c^4)*d*e^2 - (a^3*b^5*c^2 - a^4*b^3*c^3 - 3*a^5*b*c^4)*e^3)*f)*x - sqrt(1/2)*((b^11 - 11*a*b^9*c + 44*a^2*b^7*c^2 - 77*a^3*b^5*c^3 + 54*a^4*b^3*c^4 - 8*a^5*b*c^5)*d^3 - (3*a*b^10 - 30*a^2*b^8*c + 105*a^3*b^6*c^2 - 151*a^4*b^4*c^3 + 77*a^5*b^2*c^4 - 4*a^6*c^5)*d^2*e + (3*a^2*b^9 - 27*a^3*b^7*c + 81*a^4*b^5*c^2 - 92*a^5*b^3*c^3 + 32*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 8*a^4*b^6*c + 20*a^5*b^4*c^2 - 17*a^6*b^2*c^3 + 4*a^7*c^4)*e^3 + (a^6*b^5 - 5*a^7*b^3*c + 4*a^8*b*c^2)*f^3 + ((3*a^4*b^7 - 21*a^5*b^5*c + 40*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (3*a^5*b^6 - 18*a^6*b^4*c + 25*a^7*b^2*c^2 - 4*a^8*c^3)*e)*f^2 + ((3*a^2*b^9 - 27*a^3*b^7*c + 80*a^4*b^5*c^2 - 85*a^5*b^3*c^3 + 20*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 24*a^4*b^6*c + 59*a^5*b^4*c^2 - 45*a^6*b^2*c^3 + 4*a^7*c^4)*d*e + (3*a^4*b^7 - 21*a^5*b^5*c + 41*a^6*b^3*c^2 - 20*a^7*b*c^3)*e^2)*f + ((a^7*b^6 - 8*a^8*b^4*c + 18*a^9*b^2*c^2 - 8*a^10*c^3)*d - (a^8*b^5 - 7*a^9*b^3*c + 12*a^10*b*c^2)*e + (a^9*b^4 - 6*a^10*b^2*c + 8*a^11*c^2)*f)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))*sqrt(-((b^7 - 7*a*b^5*c + 14*a^2*b^3*c^2 - 7*a^3*b*c^3)*d^2 - 2*(a*b^6 - 6*a^2*b^4*c + 9*a^3*b^2*c^2 - 2*a^4*c^3)*d*e + (a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*e^2 + (a^4*b^3 - 3*a^5*b*c)*f^2 + 2*((a^2*b^5 - 5*a^3*b^3*c + 5*a^4*b*c^2)*d - (a^3*b^4 - 4*a^4*b^2*c + 2*a^5*c^2)*e)*f - (a^7*b^2 - 4*a^8*c)*sqrt(((b^12 - 10*a*b^10*c + 37*a^2*b^8*c^2 - 62*a^3*b^6*c^3 + 46*a^4*b^4*c^4 - 12*a^5*b^2*c^5 + a^6*c^6)*d^4 - 4*(a*b^11 - 9*a^2*b^9*c + 29*a^3*b^7*c^2 - 40*a^4*b^5*c^3 + 22*a^5*b^3*c^4 - 3*a^6*b*c^5)*d^3*e + 2*(3*a^2*b^10 - 24*a^3*b^8*c + 66*a^4*b^6*c^2 - 72*a^5*b^4*c^3 + 27*a^6*b^2*c^4 - a^7*c^5)*d^2*e^2 - 4*(a^3*b^9 - 7*a^4*b^7*c + 16*a^5*b^5*c^2 - 13*a^6*b^3*c^3 + 3*a^7*b*c^4)*d*e^3 + (a^4*b^8 - 6*a^5*b^6*c + 11*a^6*b^4*c^2 - 6*a^7*b^2*c^3 + a^8*c^4)*e^4 + (a^8*b^4 - 2*a^9*b^2*c + a^10*c^2)*f^4 + 4*((a^6*b^6 - 4*a^7*b^4*c + 4*a^8*b^2*c^2 - a^9*c^3)*d - (a^7*b^5 - 3*a^8*b^3*c + 2*a^9*b*c^2)*e)*f^3 + 2*((3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 19*a^7*b^2*c^3 + 3*a^8*c^4)*d^2 - 2*(3*a^5*b^7 - 15*a^6*b^5*c + 21*a^7*b^3*c^2 - 7*a^8*b*c^3)*d*e + (3*a^6*b^6 - 12*a^7*b^4*c + 12*a^8*b^2*c^2 - a^9*c^3)*e^2)*f^2 + 4*((a^2*b^10 - 8*a^3*b^8*c + 22*a^4*b^6*c^2 - 24*a^5*b^4*c^3 + 9*a^6*b^2*c^4 - a^7*c^5)*d^3 - (3*a^3*b^9 - 21*a^4*b^7*c + 48*a^5*b^5*c^2 - 39*a^6*b^3*c^3 + 8*a^7*b*c^4)*d^2*e + (3*a^4*b^8 - 18*a^5*b^6*c + 33*a^6*b^4*c^2 - 18*a^7*b^2*c^3 + a^8*c^4)*d*e^2 - (a^5*b^7 - 5*a^6*b^5*c + 7*a^7*b^3*c^2 - 2*a^8*b*c^3)*e^3)*f)/(a^14*b^2 - 4*a^15*c)))/(a^7*b^2 - 4*a^8*c))) - 30*(a*b*e - a^2*f - (b^2 - a*c)*d)*x^4 + 6*a^2*d - 10*(a*b*d - a^2*e)*x^2)/(a^3*x^5)","B",0
61,1,2111,0,1.867303," ","integrate(x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{{\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} f x^{8} + {\left(2 \, {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} e - 3 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} f\right)} x^{6} + {\left(2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} e - {\left(4 \, b^{6} c - 33 \, a b^{4} c^{2} + 72 \, a^{2} b^{2} c^{3} - 16 \, a^{3} c^{4}\right)} f\right)} x^{4} + 2 \, {\left({\left(b^{5} c^{2} - 7 \, a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 9 \, a b^{4} c^{2} + 26 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} e + {\left(b^{7} - 11 \, a b^{5} c + 41 \, a^{2} b^{3} c^{2} - 52 \, a^{3} b c^{3}\right)} f\right)} x^{2} - {\left({\left({\left(b^{3} c^{3} - 6 \, a b c^{4}\right)} d - 2 \, {\left(b^{4} c^{2} - 6 \, a b^{2} c^{3} + 6 \, a^{2} c^{4}\right)} e + {\left(3 \, b^{5} c - 20 \, a b^{3} c^{2} + 30 \, a^{2} b c^{3}\right)} f\right)} x^{4} + {\left({\left(b^{4} c^{2} - 6 \, a b^{2} c^{3}\right)} d - 2 \, {\left(b^{5} c - 6 \, a b^{3} c^{2} + 6 \, a^{2} b c^{3}\right)} e + {\left(3 \, b^{6} - 20 \, a b^{4} c + 30 \, a^{2} b^{2} c^{2}\right)} f\right)} x^{2} + {\left(a b^{3} c^{2} - 6 \, a^{2} b c^{3}\right)} d - 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 6 \, a^{3} c^{3}\right)} e + {\left(3 \, a b^{5} - 20 \, a^{2} b^{3} c + 30 \, a^{3} b c^{2}\right)} f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + 2 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} + 8 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 7 \, a^{2} b^{3} c^{2} + 12 \, a^{3} b c^{3}\right)} e + 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 18 \, a^{3} b^{2} c^{2} - 8 \, a^{4} c^{3}\right)} f + {\left({\left({\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} d - 2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} e + {\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} f\right)} x^{4} + {\left({\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} d - 2 \, {\left(b^{6} c - 8 \, a b^{4} c^{2} + 16 \, a^{2} b^{2} c^{3}\right)} e + {\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} f\right)} x^{2} + {\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6} + {\left(b^{4} c^{5} - 8 \, a b^{2} c^{6} + 16 \, a^{2} c^{7}\right)} x^{4} + {\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} x^{2}\right)}}, \frac{{\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} f x^{8} + {\left(2 \, {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} e - 3 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} f\right)} x^{6} + {\left(2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} e - {\left(4 \, b^{6} c - 33 \, a b^{4} c^{2} + 72 \, a^{2} b^{2} c^{3} - 16 \, a^{3} c^{4}\right)} f\right)} x^{4} + 2 \, {\left({\left(b^{5} c^{2} - 7 \, a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d - {\left(b^{6} c - 9 \, a b^{4} c^{2} + 26 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} e + {\left(b^{7} - 11 \, a b^{5} c + 41 \, a^{2} b^{3} c^{2} - 52 \, a^{3} b c^{3}\right)} f\right)} x^{2} + 2 \, {\left({\left({\left(b^{3} c^{3} - 6 \, a b c^{4}\right)} d - 2 \, {\left(b^{4} c^{2} - 6 \, a b^{2} c^{3} + 6 \, a^{2} c^{4}\right)} e + {\left(3 \, b^{5} c - 20 \, a b^{3} c^{2} + 30 \, a^{2} b c^{3}\right)} f\right)} x^{4} + {\left({\left(b^{4} c^{2} - 6 \, a b^{2} c^{3}\right)} d - 2 \, {\left(b^{5} c - 6 \, a b^{3} c^{2} + 6 \, a^{2} b c^{3}\right)} e + {\left(3 \, b^{6} - 20 \, a b^{4} c + 30 \, a^{2} b^{2} c^{2}\right)} f\right)} x^{2} + {\left(a b^{3} c^{2} - 6 \, a^{2} b c^{3}\right)} d - 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 6 \, a^{3} c^{3}\right)} e + {\left(3 \, a b^{5} - 20 \, a^{2} b^{3} c + 30 \, a^{3} b c^{2}\right)} f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} + 8 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 7 \, a^{2} b^{3} c^{2} + 12 \, a^{3} b c^{3}\right)} e + 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 18 \, a^{3} b^{2} c^{2} - 8 \, a^{4} c^{3}\right)} f + {\left({\left({\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} d - 2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} e + {\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} f\right)} x^{4} + {\left({\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} d - 2 \, {\left(b^{6} c - 8 \, a b^{4} c^{2} + 16 \, a^{2} b^{2} c^{3}\right)} e + {\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} f\right)} x^{2} + {\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6} + {\left(b^{4} c^{5} - 8 \, a b^{2} c^{6} + 16 \, a^{2} c^{7}\right)} x^{4} + {\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} x^{2}\right)}}\right]"," ",0,"[1/4*((b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*f*x^8 + (2*(b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*e - 3*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*f)*x^6 + (2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*e - (4*b^6*c - 33*a*b^4*c^2 + 72*a^2*b^2*c^3 - 16*a^3*c^4)*f)*x^4 + 2*((b^5*c^2 - 7*a*b^3*c^3 + 12*a^2*b*c^4)*d - (b^6*c - 9*a*b^4*c^2 + 26*a^2*b^2*c^3 - 24*a^3*c^4)*e + (b^7 - 11*a*b^5*c + 41*a^2*b^3*c^2 - 52*a^3*b*c^3)*f)*x^2 - (((b^3*c^3 - 6*a*b*c^4)*d - 2*(b^4*c^2 - 6*a*b^2*c^3 + 6*a^2*c^4)*e + (3*b^5*c - 20*a*b^3*c^2 + 30*a^2*b*c^3)*f)*x^4 + ((b^4*c^2 - 6*a*b^2*c^3)*d - 2*(b^5*c - 6*a*b^3*c^2 + 6*a^2*b*c^3)*e + (3*b^6 - 20*a*b^4*c + 30*a^2*b^2*c^2)*f)*x^2 + (a*b^3*c^2 - 6*a^2*b*c^3)*d - 2*(a*b^4*c - 6*a^2*b^2*c^2 + 6*a^3*c^3)*e + (3*a*b^5 - 20*a^2*b^3*c + 30*a^3*b*c^2)*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + 2*(a*b^4*c^2 - 6*a^2*b^2*c^3 + 8*a^3*c^4)*d - 2*(a*b^5*c - 7*a^2*b^3*c^2 + 12*a^3*b*c^3)*e + 2*(a*b^6 - 8*a^2*b^4*c + 18*a^3*b^2*c^2 - 8*a^4*c^3)*f + (((b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*d - 2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*e + (3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*f)*x^4 + ((b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*d - 2*(b^6*c - 8*a*b^4*c^2 + 16*a^2*b^2*c^3)*e + (3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*f)*x^2 + (a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6 + (b^4*c^5 - 8*a*b^2*c^6 + 16*a^2*c^7)*x^4 + (b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*x^2), 1/4*((b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*f*x^8 + (2*(b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*e - 3*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*f)*x^6 + (2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*e - (4*b^6*c - 33*a*b^4*c^2 + 72*a^2*b^2*c^3 - 16*a^3*c^4)*f)*x^4 + 2*((b^5*c^2 - 7*a*b^3*c^3 + 12*a^2*b*c^4)*d - (b^6*c - 9*a*b^4*c^2 + 26*a^2*b^2*c^3 - 24*a^3*c^4)*e + (b^7 - 11*a*b^5*c + 41*a^2*b^3*c^2 - 52*a^3*b*c^3)*f)*x^2 + 2*(((b^3*c^3 - 6*a*b*c^4)*d - 2*(b^4*c^2 - 6*a*b^2*c^3 + 6*a^2*c^4)*e + (3*b^5*c - 20*a*b^3*c^2 + 30*a^2*b*c^3)*f)*x^4 + ((b^4*c^2 - 6*a*b^2*c^3)*d - 2*(b^5*c - 6*a*b^3*c^2 + 6*a^2*b*c^3)*e + (3*b^6 - 20*a*b^4*c + 30*a^2*b^2*c^2)*f)*x^2 + (a*b^3*c^2 - 6*a^2*b*c^3)*d - 2*(a*b^4*c - 6*a^2*b^2*c^2 + 6*a^3*c^3)*e + (3*a*b^5 - 20*a^2*b^3*c + 30*a^3*b*c^2)*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + 2*(a*b^4*c^2 - 6*a^2*b^2*c^3 + 8*a^3*c^4)*d - 2*(a*b^5*c - 7*a^2*b^3*c^2 + 12*a^3*b*c^3)*e + 2*(a*b^6 - 8*a^2*b^4*c + 18*a^3*b^2*c^2 - 8*a^4*c^3)*f + (((b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*d - 2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*e + (3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*f)*x^4 + ((b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*d - 2*(b^6*c - 8*a*b^4*c^2 + 16*a^2*b^2*c^3)*e + (3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*f)*x^2 + (a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6 + (b^4*c^5 - 8*a*b^2*c^6 + 16*a^2*c^7)*x^4 + (b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*x^2)]","B",0
62,1,1455,0,1.148583," ","integrate(x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} f x^{6} + 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} f x^{4} - 2 \, {\left({\left(b^{4} c^{2} - 6 \, a b^{2} c^{3} + 8 \, a^{2} c^{4}\right)} d - {\left(b^{5} c - 7 \, a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e + {\left(b^{6} - 9 \, a b^{4} c + 26 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} f\right)} x^{2} + {\left(4 \, a^{2} c^{3} d + {\left(4 \, a c^{4} d + {\left(b^{3} c^{2} - 6 \, a b c^{3}\right)} e - 2 \, {\left(b^{4} c - 6 \, a b^{2} c^{2} + 6 \, a^{2} c^{3}\right)} f\right)} x^{4} + {\left(4 \, a b c^{3} d + {\left(b^{4} c - 6 \, a b^{2} c^{2}\right)} e - 2 \, {\left(b^{5} - 6 \, a b^{3} c + 6 \, a^{2} b c^{2}\right)} f\right)} x^{2} + {\left(a b^{3} c - 6 \, a^{2} b c^{2}\right)} e - 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 6 \, a^{3} c^{2}\right)} f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 8 \, a^{3} c^{3}\right)} e - 2 \, {\left(a b^{5} - 7 \, a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} f + {\left({\left({\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} e - 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} f\right)} x^{4} + {\left({\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} e - 2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} f\right)} x^{2} + {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e - 2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{3} - 8 \, a^{2} b^{2} c^{4} + 16 \, a^{3} c^{5} + {\left(b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}\right)} x^{4} + {\left(b^{5} c^{3} - 8 \, a b^{3} c^{4} + 16 \, a^{2} b c^{5}\right)} x^{2}\right)}}, \frac{2 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} f x^{6} + 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} f x^{4} - 2 \, {\left({\left(b^{4} c^{2} - 6 \, a b^{2} c^{3} + 8 \, a^{2} c^{4}\right)} d - {\left(b^{5} c - 7 \, a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e + {\left(b^{6} - 9 \, a b^{4} c + 26 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} f\right)} x^{2} + 2 \, {\left(4 \, a^{2} c^{3} d + {\left(4 \, a c^{4} d + {\left(b^{3} c^{2} - 6 \, a b c^{3}\right)} e - 2 \, {\left(b^{4} c - 6 \, a b^{2} c^{2} + 6 \, a^{2} c^{3}\right)} f\right)} x^{4} + {\left(4 \, a b c^{3} d + {\left(b^{4} c - 6 \, a b^{2} c^{2}\right)} e - 2 \, {\left(b^{5} - 6 \, a b^{3} c + 6 \, a^{2} b c^{2}\right)} f\right)} x^{2} + {\left(a b^{3} c - 6 \, a^{2} b c^{2}\right)} e - 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 6 \, a^{3} c^{2}\right)} f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - 2 \, {\left(a b^{3} c^{2} - 4 \, a^{2} b c^{3}\right)} d + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 8 \, a^{3} c^{3}\right)} e - 2 \, {\left(a b^{5} - 7 \, a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} f + {\left({\left({\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} e - 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} f\right)} x^{4} + {\left({\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} e - 2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} f\right)} x^{2} + {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e - 2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{3} - 8 \, a^{2} b^{2} c^{4} + 16 \, a^{3} c^{5} + {\left(b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}\right)} x^{4} + {\left(b^{5} c^{3} - 8 \, a b^{3} c^{4} + 16 \, a^{2} b c^{5}\right)} x^{2}\right)}}\right]"," ",0,"[1/4*(2*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*f*x^6 + 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*f*x^4 - 2*((b^4*c^2 - 6*a*b^2*c^3 + 8*a^2*c^4)*d - (b^5*c - 7*a*b^3*c^2 + 12*a^2*b*c^3)*e + (b^6 - 9*a*b^4*c + 26*a^2*b^2*c^2 - 24*a^3*c^3)*f)*x^2 + (4*a^2*c^3*d + (4*a*c^4*d + (b^3*c^2 - 6*a*b*c^3)*e - 2*(b^4*c - 6*a*b^2*c^2 + 6*a^2*c^3)*f)*x^4 + (4*a*b*c^3*d + (b^4*c - 6*a*b^2*c^2)*e - 2*(b^5 - 6*a*b^3*c + 6*a^2*b*c^2)*f)*x^2 + (a*b^3*c - 6*a^2*b*c^2)*e - 2*(a*b^4 - 6*a^2*b^2*c + 6*a^3*c^2)*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d + 2*(a*b^4*c - 6*a^2*b^2*c^2 + 8*a^3*c^3)*e - 2*(a*b^5 - 7*a^2*b^3*c + 12*a^3*b*c^2)*f + (((b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*e - 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*f)*x^4 + ((b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*e - 2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*f)*x^2 + (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e - 2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^3 - 8*a^2*b^2*c^4 + 16*a^3*c^5 + (b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6)*x^4 + (b^5*c^3 - 8*a*b^3*c^4 + 16*a^2*b*c^5)*x^2), 1/4*(2*(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*f*x^6 + 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*f*x^4 - 2*((b^4*c^2 - 6*a*b^2*c^3 + 8*a^2*c^4)*d - (b^5*c - 7*a*b^3*c^2 + 12*a^2*b*c^3)*e + (b^6 - 9*a*b^4*c + 26*a^2*b^2*c^2 - 24*a^3*c^3)*f)*x^2 + 2*(4*a^2*c^3*d + (4*a*c^4*d + (b^3*c^2 - 6*a*b*c^3)*e - 2*(b^4*c - 6*a*b^2*c^2 + 6*a^2*c^3)*f)*x^4 + (4*a*b*c^3*d + (b^4*c - 6*a*b^2*c^2)*e - 2*(b^5 - 6*a*b^3*c + 6*a^2*b*c^2)*f)*x^2 + (a*b^3*c - 6*a^2*b*c^2)*e - 2*(a*b^4 - 6*a^2*b^2*c + 6*a^3*c^2)*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - 2*(a*b^3*c^2 - 4*a^2*b*c^3)*d + 2*(a*b^4*c - 6*a^2*b^2*c^2 + 8*a^3*c^3)*e - 2*(a*b^5 - 7*a^2*b^3*c + 12*a^3*b*c^2)*f + (((b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*e - 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*f)*x^4 + ((b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*e - 2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*f)*x^2 + (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e - 2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^3 - 8*a^2*b^2*c^4 + 16*a^3*c^5 + (b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6)*x^4 + (b^5*c^3 - 8*a*b^3*c^4 + 16*a^2*b*c^5)*x^2)]","B",0
63,1,970,0,1.004172," ","integrate(x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d - {\left(b^{4} c - 6 \, a b^{2} c^{2} + 8 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 7 \, a b^{3} c + 12 \, a^{2} b c^{2}\right)} f\right)} x^{2} - {\left(2 \, a b c^{2} d - 4 \, a^{2} c^{2} e + {\left(2 \, b c^{3} d - 4 \, a c^{3} e - {\left(b^{3} c - 6 \, a b c^{2}\right)} f\right)} x^{4} + {\left(2 \, b^{2} c^{2} d - 4 \, a b c^{2} e - {\left(b^{4} - 6 \, a b^{2} c\right)} f\right)} x^{2} - {\left(a b^{3} - 6 \, a^{2} b c\right)} f\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + 4 \, {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} d - 2 \, {\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} e + 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} f + {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} f x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} f x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4} + {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} x^{4} + {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} x^{2}\right)}}, \frac{2 \, {\left({\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} d - {\left(b^{4} c - 6 \, a b^{2} c^{2} + 8 \, a^{2} c^{3}\right)} e + {\left(b^{5} - 7 \, a b^{3} c + 12 \, a^{2} b c^{2}\right)} f\right)} x^{2} - 2 \, {\left(2 \, a b c^{2} d - 4 \, a^{2} c^{2} e + {\left(2 \, b c^{3} d - 4 \, a c^{3} e - {\left(b^{3} c - 6 \, a b c^{2}\right)} f\right)} x^{4} + {\left(2 \, b^{2} c^{2} d - 4 \, a b c^{2} e - {\left(b^{4} - 6 \, a b^{2} c\right)} f\right)} x^{2} - {\left(a b^{3} - 6 \, a^{2} b c\right)} f\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + 4 \, {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} d - 2 \, {\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} e + 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} f + {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} f x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} f x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} f\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4} + {\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} x^{4} + {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} x^{2}\right)}}\right]"," ",0,"[1/4*(2*((b^3*c^2 - 4*a*b*c^3)*d - (b^4*c - 6*a*b^2*c^2 + 8*a^2*c^3)*e + (b^5 - 7*a*b^3*c + 12*a^2*b*c^2)*f)*x^2 - (2*a*b*c^2*d - 4*a^2*c^2*e + (2*b*c^3*d - 4*a*c^3*e - (b^3*c - 6*a*b*c^2)*f)*x^4 + (2*b^2*c^2*d - 4*a*b*c^2*e - (b^4 - 6*a*b^2*c)*f)*x^2 - (a*b^3 - 6*a^2*b*c)*f)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + 4*(a*b^2*c^2 - 4*a^2*c^3)*d - 2*(a*b^3*c - 4*a^2*b*c^2)*e + 2*(a*b^4 - 6*a^2*b^2*c + 8*a^3*c^2)*f + ((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*f*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*f*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4 + (b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*x^4 + (b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*x^2), 1/4*(2*((b^3*c^2 - 4*a*b*c^3)*d - (b^4*c - 6*a*b^2*c^2 + 8*a^2*c^3)*e + (b^5 - 7*a*b^3*c + 12*a^2*b*c^2)*f)*x^2 - 2*(2*a*b*c^2*d - 4*a^2*c^2*e + (2*b*c^3*d - 4*a*c^3*e - (b^3*c - 6*a*b*c^2)*f)*x^4 + (2*b^2*c^2*d - 4*a*b*c^2*e - (b^4 - 6*a*b^2*c)*f)*x^2 - (a*b^3 - 6*a^2*b*c)*f)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + 4*(a*b^2*c^2 - 4*a^2*c^3)*d - 2*(a*b^3*c - 4*a^2*b*c^2)*e + 2*(a*b^4 - 6*a^2*b^2*c + 8*a^3*c^2)*f + ((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*f*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*f*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*f)*log(c*x^4 + b*x^2 + a))/(a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4 + (b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*x^4 + (b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*x^2)]","B",0
64,1,650,0,0.884822," ","integrate(x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d - {\left(b^{3} c - 4 \, a b c^{2}\right)} e + {\left(b^{4} - 6 \, a b^{2} c + 8 \, a^{2} c^{2}\right)} f\right)} x^{2} + {\left({\left(2 \, c^{3} d - b c^{2} e + 2 \, a c^{2} f\right)} x^{4} + 2 \, a c^{2} d - a b c e + 2 \, a^{2} c f + {\left(2 \, b c^{2} d - b^{2} c e + 2 \, a b c f\right)} x^{2}\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + {\left(b^{3} c - 4 \, a b c^{2}\right)} d - 2 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} e + {\left(a b^{3} - 4 \, a^{2} b c\right)} f}{2 \, {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3} + {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{4} + {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x^{2}\right)}}, -\frac{{\left(2 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} d - {\left(b^{3} c - 4 \, a b c^{2}\right)} e + {\left(b^{4} - 6 \, a b^{2} c + 8 \, a^{2} c^{2}\right)} f\right)} x^{2} - 2 \, {\left({\left(2 \, c^{3} d - b c^{2} e + 2 \, a c^{2} f\right)} x^{4} + 2 \, a c^{2} d - a b c e + 2 \, a^{2} c f + {\left(2 \, b c^{2} d - b^{2} c e + 2 \, a b c f\right)} x^{2}\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + {\left(b^{3} c - 4 \, a b c^{2}\right)} d - 2 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} e + {\left(a b^{3} - 4 \, a^{2} b c\right)} f}{2 \, {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3} + {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{4} + {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x^{2}\right)}}\right]"," ",0,"[-1/2*((2*(b^2*c^2 - 4*a*c^3)*d - (b^3*c - 4*a*b*c^2)*e + (b^4 - 6*a*b^2*c + 8*a^2*c^2)*f)*x^2 + ((2*c^3*d - b*c^2*e + 2*a*c^2*f)*x^4 + 2*a*c^2*d - a*b*c*e + 2*a^2*c*f + (2*b*c^2*d - b^2*c*e + 2*a*b*c*f)*x^2)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + (b^3*c - 4*a*b*c^2)*d - 2*(a*b^2*c - 4*a^2*c^2)*e + (a*b^3 - 4*a^2*b*c)*f)/(a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3 + (b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^4 + (b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x^2), -1/2*((2*(b^2*c^2 - 4*a*c^3)*d - (b^3*c - 4*a*b*c^2)*e + (b^4 - 6*a*b^2*c + 8*a^2*c^2)*f)*x^2 - 2*((2*c^3*d - b*c^2*e + 2*a*c^2*f)*x^4 + 2*a*c^2*d - a*b*c*e + 2*a^2*c*f + (2*b*c^2*d - b^2*c*e + 2*a*b*c*f)*x^2)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + (b^3*c - 4*a*b*c^2)*d - 2*(a*b^2*c - 4*a^2*c^2)*e + (a*b^3 - 4*a^2*b*c)*f)/(a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3 + (b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^4 + (b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x^2)]","B",0
65,1,1103,0,3.327760," ","integrate((f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} d - 2 \, {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{2} + {\left(4 \, a^{3} c e - 2 \, a^{3} b f + {\left(4 \, a^{2} c^{2} e - 2 \, a^{2} b c f + {\left(b^{3} c - 6 \, a b c^{2}\right)} d\right)} x^{4} + {\left(4 \, a^{2} b c e - 2 \, a^{2} b^{2} f + {\left(b^{4} - 6 \, a b^{2} c\right)} d\right)} x^{2} + {\left(a b^{3} - 6 \, a^{2} b c\right)} d\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} d - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} e + 4 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} f - {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} d x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} d x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} d\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} d x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} d x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} d\right)} \log\left(x\right)}{4 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2} + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} x^{4} + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} x^{2}\right)}}, \frac{2 \, {\left({\left(a b^{3} c - 4 \, a^{2} b c^{2}\right)} d - 2 \, {\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} e + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} f\right)} x^{2} + 2 \, {\left(4 \, a^{3} c e - 2 \, a^{3} b f + {\left(4 \, a^{2} c^{2} e - 2 \, a^{2} b c f + {\left(b^{3} c - 6 \, a b c^{2}\right)} d\right)} x^{4} + {\left(4 \, a^{2} b c e - 2 \, a^{2} b^{2} f + {\left(b^{4} - 6 \, a b^{2} c\right)} d\right)} x^{2} + {\left(a b^{3} - 6 \, a^{2} b c\right)} d\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 8 \, a^{3} c^{2}\right)} d - 2 \, {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} e + 4 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} f - {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} d x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} d x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} d\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)} d x^{4} + {\left(b^{5} - 8 \, a b^{3} c + 16 \, a^{2} b c^{2}\right)} d x^{2} + {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)} d\right)} \log\left(x\right)}{4 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2} + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} x^{4} + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} x^{2}\right)}}\right]"," ",0,"[1/4*(2*((a*b^3*c - 4*a^2*b*c^2)*d - 2*(a^2*b^2*c - 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^2 + (4*a^3*c*e - 2*a^3*b*f + (4*a^2*c^2*e - 2*a^2*b*c*f + (b^3*c - 6*a*b*c^2)*d)*x^4 + (4*a^2*b*c*e - 2*a^2*b^2*f + (b^4 - 6*a*b^2*c)*d)*x^2 + (a*b^3 - 6*a^2*b*c)*d)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + 2*(a*b^4 - 6*a^2*b^2*c + 8*a^3*c^2)*d - 2*(a^2*b^3 - 4*a^3*b*c)*e + 4*(a^3*b^2 - 4*a^4*c)*f - ((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*d*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*d*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*d)*log(c*x^4 + b*x^2 + a) + 4*((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*d*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*d*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*d)*log(x))/(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2 + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*x^4 + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*x^2), 1/4*(2*((a*b^3*c - 4*a^2*b*c^2)*d - 2*(a^2*b^2*c - 4*a^3*c^2)*e + (a^2*b^3 - 4*a^3*b*c)*f)*x^2 + 2*(4*a^3*c*e - 2*a^3*b*f + (4*a^2*c^2*e - 2*a^2*b*c*f + (b^3*c - 6*a*b*c^2)*d)*x^4 + (4*a^2*b*c*e - 2*a^2*b^2*f + (b^4 - 6*a*b^2*c)*d)*x^2 + (a*b^3 - 6*a^2*b*c)*d)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + 2*(a*b^4 - 6*a^2*b^2*c + 8*a^3*c^2)*d - 2*(a^2*b^3 - 4*a^3*b*c)*e + 4*(a^3*b^2 - 4*a^4*c)*f - ((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*d*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*d*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*d)*log(c*x^4 + b*x^2 + a) + 4*((b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)*d*x^4 + (b^5 - 8*a*b^3*c + 16*a^2*b*c^2)*d*x^2 + (a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)*d)*log(x))/(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2 + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*x^4 + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*x^2)]","B",0
66,1,1764,0,7.266595," ","integrate((f*x^4+e*x^2+d)/x^3/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(2 \, {\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e + 2 \, {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} f\right)} x^{4} + 2 \, {\left({\left(2 \, a b^{5} - 15 \, a^{2} b^{3} c + 28 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c + 8 \, a^{4} c^{2}\right)} e + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} f\right)} x^{2} + {\left({\left(4 \, a^{3} c^{2} f - 2 \, {\left(b^{4} c - 6 \, a b^{2} c^{2} + 6 \, a^{2} c^{3}\right)} d + {\left(a b^{3} c - 6 \, a^{2} b c^{2}\right)} e\right)} x^{6} + {\left(4 \, a^{3} b c f - 2 \, {\left(b^{5} - 6 \, a b^{3} c + 6 \, a^{2} b c^{2}\right)} d + {\left(a b^{4} - 6 \, a^{2} b^{2} c\right)} e\right)} x^{4} + {\left(4 \, a^{4} c f - 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 6 \, a^{3} c^{2}\right)} d + {\left(a^{2} b^{3} - 6 \, a^{3} b c\right)} e\right)} x^{2}\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + 2 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} d - {\left({\left(2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e\right)} x^{6} + {\left(2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} d - {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} e\right)} x^{4} + {\left(2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} e\right)} x^{2}\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e\right)} x^{6} + {\left(2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} d - {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} e\right)} x^{4} + {\left(2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} e\right)} x^{2}\right)} \log\left(x\right)}{4 \, {\left({\left(a^{3} b^{4} c - 8 \, a^{4} b^{2} c^{2} + 16 \, a^{5} c^{3}\right)} x^{6} + {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} x^{4} + {\left(a^{4} b^{4} - 8 \, a^{5} b^{2} c + 16 \, a^{6} c^{2}\right)} x^{2}\right)}}, -\frac{2 \, {\left(2 \, {\left(a b^{4} c - 7 \, a^{2} b^{2} c^{2} + 12 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 4 \, a^{3} b c^{2}\right)} e + 2 \, {\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} f\right)} x^{4} + 2 \, {\left({\left(2 \, a b^{5} - 15 \, a^{2} b^{3} c + 28 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c + 8 \, a^{4} c^{2}\right)} e + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} f\right)} x^{2} - 2 \, {\left({\left(4 \, a^{3} c^{2} f - 2 \, {\left(b^{4} c - 6 \, a b^{2} c^{2} + 6 \, a^{2} c^{3}\right)} d + {\left(a b^{3} c - 6 \, a^{2} b c^{2}\right)} e\right)} x^{6} + {\left(4 \, a^{3} b c f - 2 \, {\left(b^{5} - 6 \, a b^{3} c + 6 \, a^{2} b c^{2}\right)} d + {\left(a b^{4} - 6 \, a^{2} b^{2} c\right)} e\right)} x^{4} + {\left(4 \, a^{4} c f - 2 \, {\left(a b^{4} - 6 \, a^{2} b^{2} c + 6 \, a^{3} c^{2}\right)} d + {\left(a^{2} b^{3} - 6 \, a^{3} b c\right)} e\right)} x^{2}\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} d - {\left({\left(2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e\right)} x^{6} + {\left(2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} d - {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} e\right)} x^{4} + {\left(2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} e\right)} x^{2}\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left(2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 8 \, a^{2} b^{2} c^{2} + 16 \, a^{3} c^{3}\right)} e\right)} x^{6} + {\left(2 \, {\left(b^{6} - 8 \, a b^{4} c + 16 \, a^{2} b^{2} c^{2}\right)} d - {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} e\right)} x^{4} + {\left(2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} d - {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} e\right)} x^{2}\right)} \log\left(x\right)}{4 \, {\left({\left(a^{3} b^{4} c - 8 \, a^{4} b^{2} c^{2} + 16 \, a^{5} c^{3}\right)} x^{6} + {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} x^{4} + {\left(a^{4} b^{4} - 8 \, a^{5} b^{2} c + 16 \, a^{6} c^{2}\right)} x^{2}\right)}}\right]"," ",0,"[-1/4*(2*(2*(a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d - (a^2*b^3*c - 4*a^3*b*c^2)*e + 2*(a^3*b^2*c - 4*a^4*c^2)*f)*x^4 + 2*((2*a*b^5 - 15*a^2*b^3*c + 28*a^3*b*c^2)*d - (a^2*b^4 - 6*a^3*b^2*c + 8*a^4*c^2)*e + (a^3*b^3 - 4*a^4*b*c)*f)*x^2 + ((4*a^3*c^2*f - 2*(b^4*c - 6*a*b^2*c^2 + 6*a^2*c^3)*d + (a*b^3*c - 6*a^2*b*c^2)*e)*x^6 + (4*a^3*b*c*f - 2*(b^5 - 6*a*b^3*c + 6*a^2*b*c^2)*d + (a*b^4 - 6*a^2*b^2*c)*e)*x^4 + (4*a^4*c*f - 2*(a*b^4 - 6*a^2*b^2*c + 6*a^3*c^2)*d + (a^2*b^3 - 6*a^3*b*c)*e)*x^2)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + 2*(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*d - ((2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d - (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e)*x^6 + (2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*d - (a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*e)*x^4 + (2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*d - (a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*e)*x^2)*log(c*x^4 + b*x^2 + a) + 4*((2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d - (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e)*x^6 + (2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*d - (a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*e)*x^4 + (2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*d - (a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*e)*x^2)*log(x))/((a^3*b^4*c - 8*a^4*b^2*c^2 + 16*a^5*c^3)*x^6 + (a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*x^4 + (a^4*b^4 - 8*a^5*b^2*c + 16*a^6*c^2)*x^2), -1/4*(2*(2*(a*b^4*c - 7*a^2*b^2*c^2 + 12*a^3*c^3)*d - (a^2*b^3*c - 4*a^3*b*c^2)*e + 2*(a^3*b^2*c - 4*a^4*c^2)*f)*x^4 + 2*((2*a*b^5 - 15*a^2*b^3*c + 28*a^3*b*c^2)*d - (a^2*b^4 - 6*a^3*b^2*c + 8*a^4*c^2)*e + (a^3*b^3 - 4*a^4*b*c)*f)*x^2 - 2*((4*a^3*c^2*f - 2*(b^4*c - 6*a*b^2*c^2 + 6*a^2*c^3)*d + (a*b^3*c - 6*a^2*b*c^2)*e)*x^6 + (4*a^3*b*c*f - 2*(b^5 - 6*a*b^3*c + 6*a^2*b*c^2)*d + (a*b^4 - 6*a^2*b^2*c)*e)*x^4 + (4*a^4*c*f - 2*(a*b^4 - 6*a^2*b^2*c + 6*a^3*c^2)*d + (a^2*b^3 - 6*a^3*b*c)*e)*x^2)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + 2*(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*d - ((2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d - (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e)*x^6 + (2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*d - (a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*e)*x^4 + (2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*d - (a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*e)*x^2)*log(c*x^4 + b*x^2 + a) + 4*((2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*d - (a*b^4*c - 8*a^2*b^2*c^2 + 16*a^3*c^3)*e)*x^6 + (2*(b^6 - 8*a*b^4*c + 16*a^2*b^2*c^2)*d - (a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*e)*x^4 + (2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*d - (a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)*e)*x^2)*log(x))/((a^3*b^4*c - 8*a^4*b^2*c^2 + 16*a^5*c^3)*x^6 + (a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*x^4 + (a^4*b^4 - 8*a^5*b^2*c + 16*a^6*c^2)*x^2)]","B",0
67,1,2567,0,15.903184," ","integrate((f*x^4+e*x^2+d)/x^5/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(3 \, a b^{5} c - 23 \, a^{2} b^{3} c^{2} + 44 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a^{2} b^{4} c - 7 \, a^{3} b^{2} c^{2} + 12 \, a^{4} c^{3}\right)} e + {\left(a^{3} b^{3} c - 4 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(6 \, a b^{6} - 49 \, a^{2} b^{4} c + 108 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(2 \, a^{2} b^{5} - 15 \, a^{3} b^{3} c + 28 \, a^{4} b c^{2}\right)} e + 2 \, {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c + 8 \, a^{5} c^{2}\right)} f\right)} x^{4} + {\left(3 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} d - 2 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} e\right)} x^{2} + {\left({\left({\left(3 \, b^{5} c - 20 \, a b^{3} c^{2} + 30 \, a^{2} b c^{3}\right)} d - 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 6 \, a^{3} c^{3}\right)} e + {\left(a^{2} b^{3} c - 6 \, a^{3} b c^{2}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{6} - 20 \, a b^{4} c + 30 \, a^{2} b^{2} c^{2}\right)} d - 2 \, {\left(a b^{5} - 6 \, a^{2} b^{3} c + 6 \, a^{3} b c^{2}\right)} e + {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{5} - 20 \, a^{2} b^{3} c + 30 \, a^{3} b c^{2}\right)} d - 2 \, {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c + 6 \, a^{4} c^{2}\right)} e + {\left(a^{3} b^{3} - 6 \, a^{4} b c\right)} f\right)} x^{4}\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c + {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) - {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} d - {\left({\left({\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 16 \, a^{3} b^{2} c^{2}\right)} e + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} e + {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} f\right)} x^{4}\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left({\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 16 \, a^{3} b^{2} c^{2}\right)} e + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} e + {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} f\right)} x^{4}\right)} \log\left(x\right)}{4 \, {\left({\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} x^{8} + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} x^{6} + {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} x^{4}\right)}}, \frac{2 \, {\left({\left(3 \, a b^{5} c - 23 \, a^{2} b^{3} c^{2} + 44 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a^{2} b^{4} c - 7 \, a^{3} b^{2} c^{2} + 12 \, a^{4} c^{3}\right)} e + {\left(a^{3} b^{3} c - 4 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(6 \, a b^{6} - 49 \, a^{2} b^{4} c + 108 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(2 \, a^{2} b^{5} - 15 \, a^{3} b^{3} c + 28 \, a^{4} b c^{2}\right)} e + 2 \, {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c + 8 \, a^{5} c^{2}\right)} f\right)} x^{4} + {\left(3 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} d - 2 \, {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} e\right)} x^{2} + 2 \, {\left({\left({\left(3 \, b^{5} c - 20 \, a b^{3} c^{2} + 30 \, a^{2} b c^{3}\right)} d - 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} + 6 \, a^{3} c^{3}\right)} e + {\left(a^{2} b^{3} c - 6 \, a^{3} b c^{2}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{6} - 20 \, a b^{4} c + 30 \, a^{2} b^{2} c^{2}\right)} d - 2 \, {\left(a b^{5} - 6 \, a^{2} b^{3} c + 6 \, a^{3} b c^{2}\right)} e + {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{5} - 20 \, a^{2} b^{3} c + 30 \, a^{3} b c^{2}\right)} d - 2 \, {\left(a^{2} b^{4} - 6 \, a^{3} b^{2} c + 6 \, a^{4} c^{2}\right)} e + {\left(a^{3} b^{3} - 6 \, a^{4} b c\right)} f\right)} x^{4}\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) - {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} d - {\left({\left({\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 16 \, a^{3} b^{2} c^{2}\right)} e + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} e + {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} f\right)} x^{4}\right)} \log\left(c x^{4} + b x^{2} + a\right) + 4 \, {\left({\left({\left(3 \, b^{6} c - 26 \, a b^{4} c^{2} + 64 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4}\right)} d - 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} e + {\left(a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3}\right)} f\right)} x^{8} + {\left({\left(3 \, b^{7} - 26 \, a b^{5} c + 64 \, a^{2} b^{3} c^{2} - 32 \, a^{3} b c^{3}\right)} d - 2 \, {\left(a b^{6} - 8 \, a^{2} b^{4} c + 16 \, a^{3} b^{2} c^{2}\right)} e + {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} f\right)} x^{6} + {\left({\left(3 \, a b^{6} - 26 \, a^{2} b^{4} c + 64 \, a^{3} b^{2} c^{2} - 32 \, a^{4} c^{3}\right)} d - 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} e + {\left(a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2}\right)} f\right)} x^{4}\right)} \log\left(x\right)}{4 \, {\left({\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} x^{8} + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} x^{6} + {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} x^{4}\right)}}\right]"," ",0,"[1/4*(2*((3*a*b^5*c - 23*a^2*b^3*c^2 + 44*a^3*b*c^3)*d - 2*(a^2*b^4*c - 7*a^3*b^2*c^2 + 12*a^4*c^3)*e + (a^3*b^3*c - 4*a^4*b*c^2)*f)*x^6 + ((6*a*b^6 - 49*a^2*b^4*c + 108*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(2*a^2*b^5 - 15*a^3*b^3*c + 28*a^4*b*c^2)*e + 2*(a^3*b^4 - 6*a^4*b^2*c + 8*a^5*c^2)*f)*x^4 + (3*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*d - 2*(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*e)*x^2 + (((3*b^5*c - 20*a*b^3*c^2 + 30*a^2*b*c^3)*d - 2*(a*b^4*c - 6*a^2*b^2*c^2 + 6*a^3*c^3)*e + (a^2*b^3*c - 6*a^3*b*c^2)*f)*x^8 + ((3*b^6 - 20*a*b^4*c + 30*a^2*b^2*c^2)*d - 2*(a*b^5 - 6*a^2*b^3*c + 6*a^3*b*c^2)*e + (a^2*b^4 - 6*a^3*b^2*c)*f)*x^6 + ((3*a*b^5 - 20*a^2*b^3*c + 30*a^3*b*c^2)*d - 2*(a^2*b^4 - 6*a^3*b^2*c + 6*a^4*c^2)*e + (a^3*b^3 - 6*a^4*b*c)*f)*x^4)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c + (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) - (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*d - (((3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*f)*x^8 + ((3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*d - 2*(a*b^6 - 8*a^2*b^4*c + 16*a^3*b^2*c^2)*e + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*f)*x^6 + ((3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*e + (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*f)*x^4)*log(c*x^4 + b*x^2 + a) + 4*(((3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*f)*x^8 + ((3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*d - 2*(a*b^6 - 8*a^2*b^4*c + 16*a^3*b^2*c^2)*e + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*f)*x^6 + ((3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*e + (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*f)*x^4)*log(x))/((a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*x^8 + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*x^6 + (a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*x^4), 1/4*(2*((3*a*b^5*c - 23*a^2*b^3*c^2 + 44*a^3*b*c^3)*d - 2*(a^2*b^4*c - 7*a^3*b^2*c^2 + 12*a^4*c^3)*e + (a^3*b^3*c - 4*a^4*b*c^2)*f)*x^6 + ((6*a*b^6 - 49*a^2*b^4*c + 108*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(2*a^2*b^5 - 15*a^3*b^3*c + 28*a^4*b*c^2)*e + 2*(a^3*b^4 - 6*a^4*b^2*c + 8*a^5*c^2)*f)*x^4 + (3*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*d - 2*(a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*e)*x^2 + 2*(((3*b^5*c - 20*a*b^3*c^2 + 30*a^2*b*c^3)*d - 2*(a*b^4*c - 6*a^2*b^2*c^2 + 6*a^3*c^3)*e + (a^2*b^3*c - 6*a^3*b*c^2)*f)*x^8 + ((3*b^6 - 20*a*b^4*c + 30*a^2*b^2*c^2)*d - 2*(a*b^5 - 6*a^2*b^3*c + 6*a^3*b*c^2)*e + (a^2*b^4 - 6*a^3*b^2*c)*f)*x^6 + ((3*a*b^5 - 20*a^2*b^3*c + 30*a^3*b*c^2)*d - 2*(a^2*b^4 - 6*a^3*b^2*c + 6*a^4*c^2)*e + (a^3*b^3 - 6*a^4*b*c)*f)*x^4)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) - (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*d - (((3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*f)*x^8 + ((3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*d - 2*(a*b^6 - 8*a^2*b^4*c + 16*a^3*b^2*c^2)*e + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*f)*x^6 + ((3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*e + (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*f)*x^4)*log(c*x^4 + b*x^2 + a) + 4*(((3*b^6*c - 26*a*b^4*c^2 + 64*a^2*b^2*c^3 - 32*a^3*c^4)*d - 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*e + (a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3)*f)*x^8 + ((3*b^7 - 26*a*b^5*c + 64*a^2*b^3*c^2 - 32*a^3*b*c^3)*d - 2*(a*b^6 - 8*a^2*b^4*c + 16*a^3*b^2*c^2)*e + (a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*f)*x^6 + ((3*a*b^6 - 26*a^2*b^4*c + 64*a^3*b^2*c^2 - 32*a^4*c^3)*d - 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*e + (a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2)*f)*x^4)*log(x))/((a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*x^8 + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*x^6 + (a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*x^4)]","B",0
68,-1,0,0,0.000000," ","integrate(x^6*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,1,12597,0,31.024203," ","integrate(x^4*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} f x^{5} + 2 \, {\left(b c^{2} d - {\left(b^{2} c - 2 \, a c^{2}\right)} e + {\left(3 \, b^{3} - 11 \, a b c\right)} f\right)} x^{3} + \sqrt{\frac{1}{2}} {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}} \log\left({\left({\left(3 \, b^{2} c^{6} + 4 \, a c^{7}\right)} d^{4} + {\left(9 \, b^{3} c^{5} - 20 \, a b c^{6}\right)} d^{3} e + 3 \, {\left(3 \, b^{4} c^{4} - 28 \, a b^{2} c^{5}\right)} d^{2} e^{2} + {\left(3 \, b^{5} c^{3} - 65 \, a b^{3} c^{4} + 324 \, a^{2} b c^{5}\right)} d e^{3} - {\left(5 \, a b^{4} c^{3} - 81 \, a^{2} b^{2} c^{4} + 324 \, a^{3} c^{5}\right)} e^{4} - {\left(189 \, a^{2} b^{6} - 1971 \, a^{3} b^{4} c + 5625 \, a^{4} b^{2} c^{2} - 2500 \, a^{5} c^{3}\right)} f^{4} - {\left({\left(81 \, b^{8} - 945 \, a b^{6} c + 3213 \, a^{2} b^{4} c^{2} - 3000 \, a^{3} b^{2} c^{3} + 2000 \, a^{4} c^{4}\right)} d - {\left(135 \, a b^{7} - 1323 \, a^{2} b^{5} c + 2727 \, a^{3} b^{3} c^{2} + 2500 \, a^{4} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(27 \, b^{6} c^{2} - 117 \, a b^{4} c^{3} - 150 \, a^{2} b^{2} c^{4} + 200 \, a^{3} c^{5}\right)} d^{2} + {\left(27 \, b^{7} c - 405 \, a b^{5} c^{2} + 1461 \, a^{2} b^{3} c^{3} - 500 \, a^{3} b c^{4}\right)} d e - {\left(45 \, a b^{6} c - 558 \, a^{2} b^{4} c^{2} + 1672 \, a^{3} b^{2} c^{3}\right)} e^{2}\right)} f^{2} - {\left({\left(27 \, b^{4} c^{4} + 80 \, a^{2} c^{6}\right)} d^{3} + 3 \, {\left(18 \, b^{5} c^{3} - 123 \, a b^{3} c^{4} - 100 \, a^{2} b c^{5}\right)} d^{2} e + 3 \, {\left(9 \, b^{6} c^{2} - 165 \, a b^{4} c^{3} + 692 \, a^{2} b^{2} c^{4}\right)} d e^{2} - {\left(45 \, a b^{5} c^{2} - 647 \, a^{2} b^{3} c^{3} + 2268 \, a^{3} b c^{4}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{4} c^{6} - 8 \, a b^{2} c^{7} + 16 \, a^{2} c^{8}\right)} d^{3} + 3 \, {\left(b^{5} c^{5} - 8 \, a b^{3} c^{6} + 16 \, a^{2} b c^{7}\right)} d^{2} e - 18 \, {\left(a b^{4} c^{5} - 8 \, a^{2} b^{2} c^{6} + 16 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 17 \, a b^{5} c^{4} + 88 \, a^{2} b^{3} c^{5} - 144 \, a^{3} b c^{6}\right)} e^{3} + {\left(27 \, b^{10} - 459 \, a b^{8} c + 2961 \, a^{2} b^{6} c^{2} - 8818 \, a^{3} b^{4} c^{3} + 11360 \, a^{4} b^{2} c^{4} - 4000 \, a^{5} c^{5}\right)} f^{3} - 3 \, {\left(2 \, {\left(12 \, a b^{6} c^{3} - 121 \, a^{2} b^{4} c^{4} + 392 \, a^{3} b^{2} c^{5} - 400 \, a^{4} c^{6}\right)} d + {\left(9 \, b^{9} c - 153 \, a b^{7} c^{2} + 947 \, a^{2} b^{5} c^{3} - 2536 \, a^{3} b^{3} c^{4} + 2480 \, a^{4} b c^{5}\right)} e\right)} f^{2} - 3 \, {\left({\left(3 \, b^{6} c^{4} - 14 \, a b^{4} c^{5} - 32 \, a^{2} b^{2} c^{6} + 160 \, a^{3} c^{7}\right)} d^{2} - 26 \, {\left(a b^{5} c^{4} - 8 \, a^{2} b^{3} c^{5} + 16 \, a^{3} b c^{6}\right)} d e - 3 \, {\left(b^{8} c^{2} - 17 \, a b^{6} c^{3} + 98 \, a^{2} b^{4} c^{4} - 224 \, a^{3} b^{2} c^{5} + 160 \, a^{4} c^{6}\right)} e^{2}\right)} f + {\left(4 \, {\left(b^{7} c^{7} - 12 \, a b^{5} c^{8} + 48 \, a^{2} b^{3} c^{9} - 64 \, a^{3} b c^{10}\right)} d + {\left(b^{8} c^{6} - 24 \, a b^{6} c^{7} + 192 \, a^{2} b^{4} c^{8} - 640 \, a^{3} b^{2} c^{9} + 768 \, a^{4} c^{10}\right)} e - {\left(3 \, b^{9} c^{5} - 52 \, a b^{7} c^{6} + 336 \, a^{2} b^{5} c^{7} - 960 \, a^{3} b^{3} c^{8} + 1024 \, a^{4} b c^{9}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}}\right) - \sqrt{\frac{1}{2}} {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}} \log\left({\left({\left(3 \, b^{2} c^{6} + 4 \, a c^{7}\right)} d^{4} + {\left(9 \, b^{3} c^{5} - 20 \, a b c^{6}\right)} d^{3} e + 3 \, {\left(3 \, b^{4} c^{4} - 28 \, a b^{2} c^{5}\right)} d^{2} e^{2} + {\left(3 \, b^{5} c^{3} - 65 \, a b^{3} c^{4} + 324 \, a^{2} b c^{5}\right)} d e^{3} - {\left(5 \, a b^{4} c^{3} - 81 \, a^{2} b^{2} c^{4} + 324 \, a^{3} c^{5}\right)} e^{4} - {\left(189 \, a^{2} b^{6} - 1971 \, a^{3} b^{4} c + 5625 \, a^{4} b^{2} c^{2} - 2500 \, a^{5} c^{3}\right)} f^{4} - {\left({\left(81 \, b^{8} - 945 \, a b^{6} c + 3213 \, a^{2} b^{4} c^{2} - 3000 \, a^{3} b^{2} c^{3} + 2000 \, a^{4} c^{4}\right)} d - {\left(135 \, a b^{7} - 1323 \, a^{2} b^{5} c + 2727 \, a^{3} b^{3} c^{2} + 2500 \, a^{4} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(27 \, b^{6} c^{2} - 117 \, a b^{4} c^{3} - 150 \, a^{2} b^{2} c^{4} + 200 \, a^{3} c^{5}\right)} d^{2} + {\left(27 \, b^{7} c - 405 \, a b^{5} c^{2} + 1461 \, a^{2} b^{3} c^{3} - 500 \, a^{3} b c^{4}\right)} d e - {\left(45 \, a b^{6} c - 558 \, a^{2} b^{4} c^{2} + 1672 \, a^{3} b^{2} c^{3}\right)} e^{2}\right)} f^{2} - {\left({\left(27 \, b^{4} c^{4} + 80 \, a^{2} c^{6}\right)} d^{3} + 3 \, {\left(18 \, b^{5} c^{3} - 123 \, a b^{3} c^{4} - 100 \, a^{2} b c^{5}\right)} d^{2} e + 3 \, {\left(9 \, b^{6} c^{2} - 165 \, a b^{4} c^{3} + 692 \, a^{2} b^{2} c^{4}\right)} d e^{2} - {\left(45 \, a b^{5} c^{2} - 647 \, a^{2} b^{3} c^{3} + 2268 \, a^{3} b c^{4}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{4} c^{6} - 8 \, a b^{2} c^{7} + 16 \, a^{2} c^{8}\right)} d^{3} + 3 \, {\left(b^{5} c^{5} - 8 \, a b^{3} c^{6} + 16 \, a^{2} b c^{7}\right)} d^{2} e - 18 \, {\left(a b^{4} c^{5} - 8 \, a^{2} b^{2} c^{6} + 16 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 17 \, a b^{5} c^{4} + 88 \, a^{2} b^{3} c^{5} - 144 \, a^{3} b c^{6}\right)} e^{3} + {\left(27 \, b^{10} - 459 \, a b^{8} c + 2961 \, a^{2} b^{6} c^{2} - 8818 \, a^{3} b^{4} c^{3} + 11360 \, a^{4} b^{2} c^{4} - 4000 \, a^{5} c^{5}\right)} f^{3} - 3 \, {\left(2 \, {\left(12 \, a b^{6} c^{3} - 121 \, a^{2} b^{4} c^{4} + 392 \, a^{3} b^{2} c^{5} - 400 \, a^{4} c^{6}\right)} d + {\left(9 \, b^{9} c - 153 \, a b^{7} c^{2} + 947 \, a^{2} b^{5} c^{3} - 2536 \, a^{3} b^{3} c^{4} + 2480 \, a^{4} b c^{5}\right)} e\right)} f^{2} - 3 \, {\left({\left(3 \, b^{6} c^{4} - 14 \, a b^{4} c^{5} - 32 \, a^{2} b^{2} c^{6} + 160 \, a^{3} c^{7}\right)} d^{2} - 26 \, {\left(a b^{5} c^{4} - 8 \, a^{2} b^{3} c^{5} + 16 \, a^{3} b c^{6}\right)} d e - 3 \, {\left(b^{8} c^{2} - 17 \, a b^{6} c^{3} + 98 \, a^{2} b^{4} c^{4} - 224 \, a^{3} b^{2} c^{5} + 160 \, a^{4} c^{6}\right)} e^{2}\right)} f + {\left(4 \, {\left(b^{7} c^{7} - 12 \, a b^{5} c^{8} + 48 \, a^{2} b^{3} c^{9} - 64 \, a^{3} b c^{10}\right)} d + {\left(b^{8} c^{6} - 24 \, a b^{6} c^{7} + 192 \, a^{2} b^{4} c^{8} - 640 \, a^{3} b^{2} c^{9} + 768 \, a^{4} c^{10}\right)} e - {\left(3 \, b^{9} c^{5} - 52 \, a b^{7} c^{6} + 336 \, a^{2} b^{5} c^{7} - 960 \, a^{3} b^{3} c^{8} + 1024 \, a^{4} b c^{9}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f + {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}}\right) + \sqrt{\frac{1}{2}} {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}} \log\left({\left({\left(3 \, b^{2} c^{6} + 4 \, a c^{7}\right)} d^{4} + {\left(9 \, b^{3} c^{5} - 20 \, a b c^{6}\right)} d^{3} e + 3 \, {\left(3 \, b^{4} c^{4} - 28 \, a b^{2} c^{5}\right)} d^{2} e^{2} + {\left(3 \, b^{5} c^{3} - 65 \, a b^{3} c^{4} + 324 \, a^{2} b c^{5}\right)} d e^{3} - {\left(5 \, a b^{4} c^{3} - 81 \, a^{2} b^{2} c^{4} + 324 \, a^{3} c^{5}\right)} e^{4} - {\left(189 \, a^{2} b^{6} - 1971 \, a^{3} b^{4} c + 5625 \, a^{4} b^{2} c^{2} - 2500 \, a^{5} c^{3}\right)} f^{4} - {\left({\left(81 \, b^{8} - 945 \, a b^{6} c + 3213 \, a^{2} b^{4} c^{2} - 3000 \, a^{3} b^{2} c^{3} + 2000 \, a^{4} c^{4}\right)} d - {\left(135 \, a b^{7} - 1323 \, a^{2} b^{5} c + 2727 \, a^{3} b^{3} c^{2} + 2500 \, a^{4} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(27 \, b^{6} c^{2} - 117 \, a b^{4} c^{3} - 150 \, a^{2} b^{2} c^{4} + 200 \, a^{3} c^{5}\right)} d^{2} + {\left(27 \, b^{7} c - 405 \, a b^{5} c^{2} + 1461 \, a^{2} b^{3} c^{3} - 500 \, a^{3} b c^{4}\right)} d e - {\left(45 \, a b^{6} c - 558 \, a^{2} b^{4} c^{2} + 1672 \, a^{3} b^{2} c^{3}\right)} e^{2}\right)} f^{2} - {\left({\left(27 \, b^{4} c^{4} + 80 \, a^{2} c^{6}\right)} d^{3} + 3 \, {\left(18 \, b^{5} c^{3} - 123 \, a b^{3} c^{4} - 100 \, a^{2} b c^{5}\right)} d^{2} e + 3 \, {\left(9 \, b^{6} c^{2} - 165 \, a b^{4} c^{3} + 692 \, a^{2} b^{2} c^{4}\right)} d e^{2} - {\left(45 \, a b^{5} c^{2} - 647 \, a^{2} b^{3} c^{3} + 2268 \, a^{3} b c^{4}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{4} c^{6} - 8 \, a b^{2} c^{7} + 16 \, a^{2} c^{8}\right)} d^{3} + 3 \, {\left(b^{5} c^{5} - 8 \, a b^{3} c^{6} + 16 \, a^{2} b c^{7}\right)} d^{2} e - 18 \, {\left(a b^{4} c^{5} - 8 \, a^{2} b^{2} c^{6} + 16 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 17 \, a b^{5} c^{4} + 88 \, a^{2} b^{3} c^{5} - 144 \, a^{3} b c^{6}\right)} e^{3} + {\left(27 \, b^{10} - 459 \, a b^{8} c + 2961 \, a^{2} b^{6} c^{2} - 8818 \, a^{3} b^{4} c^{3} + 11360 \, a^{4} b^{2} c^{4} - 4000 \, a^{5} c^{5}\right)} f^{3} - 3 \, {\left(2 \, {\left(12 \, a b^{6} c^{3} - 121 \, a^{2} b^{4} c^{4} + 392 \, a^{3} b^{2} c^{5} - 400 \, a^{4} c^{6}\right)} d + {\left(9 \, b^{9} c - 153 \, a b^{7} c^{2} + 947 \, a^{2} b^{5} c^{3} - 2536 \, a^{3} b^{3} c^{4} + 2480 \, a^{4} b c^{5}\right)} e\right)} f^{2} - 3 \, {\left({\left(3 \, b^{6} c^{4} - 14 \, a b^{4} c^{5} - 32 \, a^{2} b^{2} c^{6} + 160 \, a^{3} c^{7}\right)} d^{2} - 26 \, {\left(a b^{5} c^{4} - 8 \, a^{2} b^{3} c^{5} + 16 \, a^{3} b c^{6}\right)} d e - 3 \, {\left(b^{8} c^{2} - 17 \, a b^{6} c^{3} + 98 \, a^{2} b^{4} c^{4} - 224 \, a^{3} b^{2} c^{5} + 160 \, a^{4} c^{6}\right)} e^{2}\right)} f - {\left(4 \, {\left(b^{7} c^{7} - 12 \, a b^{5} c^{8} + 48 \, a^{2} b^{3} c^{9} - 64 \, a^{3} b c^{10}\right)} d + {\left(b^{8} c^{6} - 24 \, a b^{6} c^{7} + 192 \, a^{2} b^{4} c^{8} - 640 \, a^{3} b^{2} c^{9} + 768 \, a^{4} c^{10}\right)} e - {\left(3 \, b^{9} c^{5} - 52 \, a b^{7} c^{6} + 336 \, a^{2} b^{5} c^{7} - 960 \, a^{3} b^{3} c^{8} + 1024 \, a^{4} b c^{9}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}}\right) - \sqrt{\frac{1}{2}} {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}} \log\left({\left({\left(3 \, b^{2} c^{6} + 4 \, a c^{7}\right)} d^{4} + {\left(9 \, b^{3} c^{5} - 20 \, a b c^{6}\right)} d^{3} e + 3 \, {\left(3 \, b^{4} c^{4} - 28 \, a b^{2} c^{5}\right)} d^{2} e^{2} + {\left(3 \, b^{5} c^{3} - 65 \, a b^{3} c^{4} + 324 \, a^{2} b c^{5}\right)} d e^{3} - {\left(5 \, a b^{4} c^{3} - 81 \, a^{2} b^{2} c^{4} + 324 \, a^{3} c^{5}\right)} e^{4} - {\left(189 \, a^{2} b^{6} - 1971 \, a^{3} b^{4} c + 5625 \, a^{4} b^{2} c^{2} - 2500 \, a^{5} c^{3}\right)} f^{4} - {\left({\left(81 \, b^{8} - 945 \, a b^{6} c + 3213 \, a^{2} b^{4} c^{2} - 3000 \, a^{3} b^{2} c^{3} + 2000 \, a^{4} c^{4}\right)} d - {\left(135 \, a b^{7} - 1323 \, a^{2} b^{5} c + 2727 \, a^{3} b^{3} c^{2} + 2500 \, a^{4} b c^{3}\right)} e\right)} f^{3} + 3 \, {\left({\left(27 \, b^{6} c^{2} - 117 \, a b^{4} c^{3} - 150 \, a^{2} b^{2} c^{4} + 200 \, a^{3} c^{5}\right)} d^{2} + {\left(27 \, b^{7} c - 405 \, a b^{5} c^{2} + 1461 \, a^{2} b^{3} c^{3} - 500 \, a^{3} b c^{4}\right)} d e - {\left(45 \, a b^{6} c - 558 \, a^{2} b^{4} c^{2} + 1672 \, a^{3} b^{2} c^{3}\right)} e^{2}\right)} f^{2} - {\left({\left(27 \, b^{4} c^{4} + 80 \, a^{2} c^{6}\right)} d^{3} + 3 \, {\left(18 \, b^{5} c^{3} - 123 \, a b^{3} c^{4} - 100 \, a^{2} b c^{5}\right)} d^{2} e + 3 \, {\left(9 \, b^{6} c^{2} - 165 \, a b^{4} c^{3} + 692 \, a^{2} b^{2} c^{4}\right)} d e^{2} - {\left(45 \, a b^{5} c^{2} - 647 \, a^{2} b^{3} c^{3} + 2268 \, a^{3} b c^{4}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left(2 \, {\left(b^{4} c^{6} - 8 \, a b^{2} c^{7} + 16 \, a^{2} c^{8}\right)} d^{3} + 3 \, {\left(b^{5} c^{5} - 8 \, a b^{3} c^{6} + 16 \, a^{2} b c^{7}\right)} d^{2} e - 18 \, {\left(a b^{4} c^{5} - 8 \, a^{2} b^{2} c^{6} + 16 \, a^{3} c^{7}\right)} d e^{2} - {\left(b^{7} c^{3} - 17 \, a b^{5} c^{4} + 88 \, a^{2} b^{3} c^{5} - 144 \, a^{3} b c^{6}\right)} e^{3} + {\left(27 \, b^{10} - 459 \, a b^{8} c + 2961 \, a^{2} b^{6} c^{2} - 8818 \, a^{3} b^{4} c^{3} + 11360 \, a^{4} b^{2} c^{4} - 4000 \, a^{5} c^{5}\right)} f^{3} - 3 \, {\left(2 \, {\left(12 \, a b^{6} c^{3} - 121 \, a^{2} b^{4} c^{4} + 392 \, a^{3} b^{2} c^{5} - 400 \, a^{4} c^{6}\right)} d + {\left(9 \, b^{9} c - 153 \, a b^{7} c^{2} + 947 \, a^{2} b^{5} c^{3} - 2536 \, a^{3} b^{3} c^{4} + 2480 \, a^{4} b c^{5}\right)} e\right)} f^{2} - 3 \, {\left({\left(3 \, b^{6} c^{4} - 14 \, a b^{4} c^{5} - 32 \, a^{2} b^{2} c^{6} + 160 \, a^{3} c^{7}\right)} d^{2} - 26 \, {\left(a b^{5} c^{4} - 8 \, a^{2} b^{3} c^{5} + 16 \, a^{3} b c^{6}\right)} d e - 3 \, {\left(b^{8} c^{2} - 17 \, a b^{6} c^{3} + 98 \, a^{2} b^{4} c^{4} - 224 \, a^{3} b^{2} c^{5} + 160 \, a^{4} c^{6}\right)} e^{2}\right)} f - {\left(4 \, {\left(b^{7} c^{7} - 12 \, a b^{5} c^{8} + 48 \, a^{2} b^{3} c^{9} - 64 \, a^{3} b c^{10}\right)} d + {\left(b^{8} c^{6} - 24 \, a b^{6} c^{7} + 192 \, a^{2} b^{4} c^{8} - 640 \, a^{3} b^{2} c^{9} + 768 \, a^{4} c^{10}\right)} e - {\left(3 \, b^{9} c^{5} - 52 \, a b^{7} c^{6} + 336 \, a^{2} b^{5} c^{7} - 960 \, a^{3} b^{3} c^{8} + 1024 \, a^{4} b c^{9}\right)} f\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{2} + 2 \, {\left(b^{4} c^{3} - 6 \, a b^{2} c^{4} - 24 \, a^{2} c^{5}\right)} d e + {\left(b^{5} c^{2} - 15 \, a b^{3} c^{3} + 60 \, a^{2} b c^{4}\right)} e^{2} + {\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} f^{2} - 2 \, {\left({\left(3 \, b^{5} c^{2} - 13 \, a b^{3} c^{3} - 12 \, a^{2} b c^{4}\right)} d + {\left(3 \, b^{6} c - 40 \, a b^{4} c^{2} + 150 \, a^{2} b^{2} c^{3} - 120 \, a^{3} c^{4}\right)} e\right)} f - {\left(b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}\right)} \sqrt{\frac{c^{8} d^{4} + 4 \, b c^{7} d^{3} e + 6 \, {\left(b^{2} c^{6} - 3 \, a c^{7}\right)} d^{2} e^{2} + 4 \, {\left(b^{3} c^{5} - 9 \, a b c^{6}\right)} d e^{3} + {\left(b^{4} c^{4} - 18 \, a b^{2} c^{5} + 81 \, a^{2} c^{6}\right)} e^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} f^{4} - 4 \, {\left({\left(27 \, b^{6} c^{2} - 108 \, a b^{4} c^{3} - 180 \, a^{2} b^{2} c^{4} + 125 \, a^{3} c^{5}\right)} d + {\left(27 \, b^{7} c - 351 \, a b^{5} c^{2} + 1197 \, a^{2} b^{3} c^{3} - 550 \, a^{3} b c^{4}\right)} e\right)} f^{3} + 6 \, {\left({\left(9 \, b^{4} c^{4} + 3 \, a b^{2} c^{5} + 25 \, a^{2} c^{6}\right)} d^{2} + 2 \, {\left(9 \, b^{5} c^{3} - 51 \, a b^{3} c^{4} - 65 \, a^{2} b c^{5}\right)} d e + {\left(9 \, b^{6} c^{2} - 132 \, a b^{4} c^{3} + 484 \, a^{2} b^{2} c^{4} - 75 \, a^{3} c^{5}\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(3 \, b^{2} c^{6} + 5 \, a c^{7}\right)} d^{3} + 3 \, {\left(3 \, b^{3} c^{5} - 4 \, a b c^{6}\right)} d^{2} e + 3 \, {\left(3 \, b^{4} c^{4} - 22 \, a b^{2} c^{5} - 15 \, a^{2} c^{6}\right)} d e^{2} + {\left(3 \, b^{5} c^{3} - 49 \, a b^{3} c^{4} + 198 \, a^{2} b c^{5}\right)} e^{3}\right)} f}{b^{6} c^{10} - 12 \, a b^{4} c^{11} + 48 \, a^{2} b^{2} c^{12} - 64 \, a^{3} c^{13}}}}{b^{6} c^{5} - 12 \, a b^{4} c^{6} + 48 \, a^{2} b^{2} c^{7} - 64 \, a^{3} c^{8}}}\right) + 2 \, {\left(2 \, a c^{2} d - a b c e + {\left(3 \, a b^{2} - 10 \, a^{2} c\right)} f\right)} x}{4 \, {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)}}"," ",0,"1/4*(4*(b^2*c - 4*a*c^2)*f*x^5 + 2*(b*c^2*d - (b^2*c - 2*a*c^2)*e + (3*b^3 - 11*a*b*c)*f)*x^3 + sqrt(1/2)*(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2)*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f + (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))*log(((3*b^2*c^6 + 4*a*c^7)*d^4 + (9*b^3*c^5 - 20*a*b*c^6)*d^3*e + 3*(3*b^4*c^4 - 28*a*b^2*c^5)*d^2*e^2 + (3*b^5*c^3 - 65*a*b^3*c^4 + 324*a^2*b*c^5)*d*e^3 - (5*a*b^4*c^3 - 81*a^2*b^2*c^4 + 324*a^3*c^5)*e^4 - (189*a^2*b^6 - 1971*a^3*b^4*c + 5625*a^4*b^2*c^2 - 2500*a^5*c^3)*f^4 - ((81*b^8 - 945*a*b^6*c + 3213*a^2*b^4*c^2 - 3000*a^3*b^2*c^3 + 2000*a^4*c^4)*d - (135*a*b^7 - 1323*a^2*b^5*c + 2727*a^3*b^3*c^2 + 2500*a^4*b*c^3)*e)*f^3 + 3*((27*b^6*c^2 - 117*a*b^4*c^3 - 150*a^2*b^2*c^4 + 200*a^3*c^5)*d^2 + (27*b^7*c - 405*a*b^5*c^2 + 1461*a^2*b^3*c^3 - 500*a^3*b*c^4)*d*e - (45*a*b^6*c - 558*a^2*b^4*c^2 + 1672*a^3*b^2*c^3)*e^2)*f^2 - ((27*b^4*c^4 + 80*a^2*c^6)*d^3 + 3*(18*b^5*c^3 - 123*a*b^3*c^4 - 100*a^2*b*c^5)*d^2*e + 3*(9*b^6*c^2 - 165*a*b^4*c^3 + 692*a^2*b^2*c^4)*d*e^2 - (45*a*b^5*c^2 - 647*a^2*b^3*c^3 + 2268*a^3*b*c^4)*e^3)*f)*x + 1/2*sqrt(1/2)*(2*(b^4*c^6 - 8*a*b^2*c^7 + 16*a^2*c^8)*d^3 + 3*(b^5*c^5 - 8*a*b^3*c^6 + 16*a^2*b*c^7)*d^2*e - 18*(a*b^4*c^5 - 8*a^2*b^2*c^6 + 16*a^3*c^7)*d*e^2 - (b^7*c^3 - 17*a*b^5*c^4 + 88*a^2*b^3*c^5 - 144*a^3*b*c^6)*e^3 + (27*b^10 - 459*a*b^8*c + 2961*a^2*b^6*c^2 - 8818*a^3*b^4*c^3 + 11360*a^4*b^2*c^4 - 4000*a^5*c^5)*f^3 - 3*(2*(12*a*b^6*c^3 - 121*a^2*b^4*c^4 + 392*a^3*b^2*c^5 - 400*a^4*c^6)*d + (9*b^9*c - 153*a*b^7*c^2 + 947*a^2*b^5*c^3 - 2536*a^3*b^3*c^4 + 2480*a^4*b*c^5)*e)*f^2 - 3*((3*b^6*c^4 - 14*a*b^4*c^5 - 32*a^2*b^2*c^6 + 160*a^3*c^7)*d^2 - 26*(a*b^5*c^4 - 8*a^2*b^3*c^5 + 16*a^3*b*c^6)*d*e - 3*(b^8*c^2 - 17*a*b^6*c^3 + 98*a^2*b^4*c^4 - 224*a^3*b^2*c^5 + 160*a^4*c^6)*e^2)*f + (4*(b^7*c^7 - 12*a*b^5*c^8 + 48*a^2*b^3*c^9 - 64*a^3*b*c^10)*d + (b^8*c^6 - 24*a*b^6*c^7 + 192*a^2*b^4*c^8 - 640*a^3*b^2*c^9 + 768*a^4*c^10)*e - (3*b^9*c^5 - 52*a*b^7*c^6 + 336*a^2*b^5*c^7 - 960*a^3*b^3*c^8 + 1024*a^4*b*c^9)*f)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f + (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))) - sqrt(1/2)*(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2)*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f + (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))*log(((3*b^2*c^6 + 4*a*c^7)*d^4 + (9*b^3*c^5 - 20*a*b*c^6)*d^3*e + 3*(3*b^4*c^4 - 28*a*b^2*c^5)*d^2*e^2 + (3*b^5*c^3 - 65*a*b^3*c^4 + 324*a^2*b*c^5)*d*e^3 - (5*a*b^4*c^3 - 81*a^2*b^2*c^4 + 324*a^3*c^5)*e^4 - (189*a^2*b^6 - 1971*a^3*b^4*c + 5625*a^4*b^2*c^2 - 2500*a^5*c^3)*f^4 - ((81*b^8 - 945*a*b^6*c + 3213*a^2*b^4*c^2 - 3000*a^3*b^2*c^3 + 2000*a^4*c^4)*d - (135*a*b^7 - 1323*a^2*b^5*c + 2727*a^3*b^3*c^2 + 2500*a^4*b*c^3)*e)*f^3 + 3*((27*b^6*c^2 - 117*a*b^4*c^3 - 150*a^2*b^2*c^4 + 200*a^3*c^5)*d^2 + (27*b^7*c - 405*a*b^5*c^2 + 1461*a^2*b^3*c^3 - 500*a^3*b*c^4)*d*e - (45*a*b^6*c - 558*a^2*b^4*c^2 + 1672*a^3*b^2*c^3)*e^2)*f^2 - ((27*b^4*c^4 + 80*a^2*c^6)*d^3 + 3*(18*b^5*c^3 - 123*a*b^3*c^4 - 100*a^2*b*c^5)*d^2*e + 3*(9*b^6*c^2 - 165*a*b^4*c^3 + 692*a^2*b^2*c^4)*d*e^2 - (45*a*b^5*c^2 - 647*a^2*b^3*c^3 + 2268*a^3*b*c^4)*e^3)*f)*x - 1/2*sqrt(1/2)*(2*(b^4*c^6 - 8*a*b^2*c^7 + 16*a^2*c^8)*d^3 + 3*(b^5*c^5 - 8*a*b^3*c^6 + 16*a^2*b*c^7)*d^2*e - 18*(a*b^4*c^5 - 8*a^2*b^2*c^6 + 16*a^3*c^7)*d*e^2 - (b^7*c^3 - 17*a*b^5*c^4 + 88*a^2*b^3*c^5 - 144*a^3*b*c^6)*e^3 + (27*b^10 - 459*a*b^8*c + 2961*a^2*b^6*c^2 - 8818*a^3*b^4*c^3 + 11360*a^4*b^2*c^4 - 4000*a^5*c^5)*f^3 - 3*(2*(12*a*b^6*c^3 - 121*a^2*b^4*c^4 + 392*a^3*b^2*c^5 - 400*a^4*c^6)*d + (9*b^9*c - 153*a*b^7*c^2 + 947*a^2*b^5*c^3 - 2536*a^3*b^3*c^4 + 2480*a^4*b*c^5)*e)*f^2 - 3*((3*b^6*c^4 - 14*a*b^4*c^5 - 32*a^2*b^2*c^6 + 160*a^3*c^7)*d^2 - 26*(a*b^5*c^4 - 8*a^2*b^3*c^5 + 16*a^3*b*c^6)*d*e - 3*(b^8*c^2 - 17*a*b^6*c^3 + 98*a^2*b^4*c^4 - 224*a^3*b^2*c^5 + 160*a^4*c^6)*e^2)*f + (4*(b^7*c^7 - 12*a*b^5*c^8 + 48*a^2*b^3*c^9 - 64*a^3*b*c^10)*d + (b^8*c^6 - 24*a*b^6*c^7 + 192*a^2*b^4*c^8 - 640*a^3*b^2*c^9 + 768*a^4*c^10)*e - (3*b^9*c^5 - 52*a*b^7*c^6 + 336*a^2*b^5*c^7 - 960*a^3*b^3*c^8 + 1024*a^4*b*c^9)*f)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f + (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))) + sqrt(1/2)*(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2)*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f - (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))*log(((3*b^2*c^6 + 4*a*c^7)*d^4 + (9*b^3*c^5 - 20*a*b*c^6)*d^3*e + 3*(3*b^4*c^4 - 28*a*b^2*c^5)*d^2*e^2 + (3*b^5*c^3 - 65*a*b^3*c^4 + 324*a^2*b*c^5)*d*e^3 - (5*a*b^4*c^3 - 81*a^2*b^2*c^4 + 324*a^3*c^5)*e^4 - (189*a^2*b^6 - 1971*a^3*b^4*c + 5625*a^4*b^2*c^2 - 2500*a^5*c^3)*f^4 - ((81*b^8 - 945*a*b^6*c + 3213*a^2*b^4*c^2 - 3000*a^3*b^2*c^3 + 2000*a^4*c^4)*d - (135*a*b^7 - 1323*a^2*b^5*c + 2727*a^3*b^3*c^2 + 2500*a^4*b*c^3)*e)*f^3 + 3*((27*b^6*c^2 - 117*a*b^4*c^3 - 150*a^2*b^2*c^4 + 200*a^3*c^5)*d^2 + (27*b^7*c - 405*a*b^5*c^2 + 1461*a^2*b^3*c^3 - 500*a^3*b*c^4)*d*e - (45*a*b^6*c - 558*a^2*b^4*c^2 + 1672*a^3*b^2*c^3)*e^2)*f^2 - ((27*b^4*c^4 + 80*a^2*c^6)*d^3 + 3*(18*b^5*c^3 - 123*a*b^3*c^4 - 100*a^2*b*c^5)*d^2*e + 3*(9*b^6*c^2 - 165*a*b^4*c^3 + 692*a^2*b^2*c^4)*d*e^2 - (45*a*b^5*c^2 - 647*a^2*b^3*c^3 + 2268*a^3*b*c^4)*e^3)*f)*x + 1/2*sqrt(1/2)*(2*(b^4*c^6 - 8*a*b^2*c^7 + 16*a^2*c^8)*d^3 + 3*(b^5*c^5 - 8*a*b^3*c^6 + 16*a^2*b*c^7)*d^2*e - 18*(a*b^4*c^5 - 8*a^2*b^2*c^6 + 16*a^3*c^7)*d*e^2 - (b^7*c^3 - 17*a*b^5*c^4 + 88*a^2*b^3*c^5 - 144*a^3*b*c^6)*e^3 + (27*b^10 - 459*a*b^8*c + 2961*a^2*b^6*c^2 - 8818*a^3*b^4*c^3 + 11360*a^4*b^2*c^4 - 4000*a^5*c^5)*f^3 - 3*(2*(12*a*b^6*c^3 - 121*a^2*b^4*c^4 + 392*a^3*b^2*c^5 - 400*a^4*c^6)*d + (9*b^9*c - 153*a*b^7*c^2 + 947*a^2*b^5*c^3 - 2536*a^3*b^3*c^4 + 2480*a^4*b*c^5)*e)*f^2 - 3*((3*b^6*c^4 - 14*a*b^4*c^5 - 32*a^2*b^2*c^6 + 160*a^3*c^7)*d^2 - 26*(a*b^5*c^4 - 8*a^2*b^3*c^5 + 16*a^3*b*c^6)*d*e - 3*(b^8*c^2 - 17*a*b^6*c^3 + 98*a^2*b^4*c^4 - 224*a^3*b^2*c^5 + 160*a^4*c^6)*e^2)*f - (4*(b^7*c^7 - 12*a*b^5*c^8 + 48*a^2*b^3*c^9 - 64*a^3*b*c^10)*d + (b^8*c^6 - 24*a*b^6*c^7 + 192*a^2*b^4*c^8 - 640*a^3*b^2*c^9 + 768*a^4*c^10)*e - (3*b^9*c^5 - 52*a*b^7*c^6 + 336*a^2*b^5*c^7 - 960*a^3*b^3*c^8 + 1024*a^4*b*c^9)*f)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f - (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))) - sqrt(1/2)*(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2)*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f - (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))*log(((3*b^2*c^6 + 4*a*c^7)*d^4 + (9*b^3*c^5 - 20*a*b*c^6)*d^3*e + 3*(3*b^4*c^4 - 28*a*b^2*c^5)*d^2*e^2 + (3*b^5*c^3 - 65*a*b^3*c^4 + 324*a^2*b*c^5)*d*e^3 - (5*a*b^4*c^3 - 81*a^2*b^2*c^4 + 324*a^3*c^5)*e^4 - (189*a^2*b^6 - 1971*a^3*b^4*c + 5625*a^4*b^2*c^2 - 2500*a^5*c^3)*f^4 - ((81*b^8 - 945*a*b^6*c + 3213*a^2*b^4*c^2 - 3000*a^3*b^2*c^3 + 2000*a^4*c^4)*d - (135*a*b^7 - 1323*a^2*b^5*c + 2727*a^3*b^3*c^2 + 2500*a^4*b*c^3)*e)*f^3 + 3*((27*b^6*c^2 - 117*a*b^4*c^3 - 150*a^2*b^2*c^4 + 200*a^3*c^5)*d^2 + (27*b^7*c - 405*a*b^5*c^2 + 1461*a^2*b^3*c^3 - 500*a^3*b*c^4)*d*e - (45*a*b^6*c - 558*a^2*b^4*c^2 + 1672*a^3*b^2*c^3)*e^2)*f^2 - ((27*b^4*c^4 + 80*a^2*c^6)*d^3 + 3*(18*b^5*c^3 - 123*a*b^3*c^4 - 100*a^2*b*c^5)*d^2*e + 3*(9*b^6*c^2 - 165*a*b^4*c^3 + 692*a^2*b^2*c^4)*d*e^2 - (45*a*b^5*c^2 - 647*a^2*b^3*c^3 + 2268*a^3*b*c^4)*e^3)*f)*x - 1/2*sqrt(1/2)*(2*(b^4*c^6 - 8*a*b^2*c^7 + 16*a^2*c^8)*d^3 + 3*(b^5*c^5 - 8*a*b^3*c^6 + 16*a^2*b*c^7)*d^2*e - 18*(a*b^4*c^5 - 8*a^2*b^2*c^6 + 16*a^3*c^7)*d*e^2 - (b^7*c^3 - 17*a*b^5*c^4 + 88*a^2*b^3*c^5 - 144*a^3*b*c^6)*e^3 + (27*b^10 - 459*a*b^8*c + 2961*a^2*b^6*c^2 - 8818*a^3*b^4*c^3 + 11360*a^4*b^2*c^4 - 4000*a^5*c^5)*f^3 - 3*(2*(12*a*b^6*c^3 - 121*a^2*b^4*c^4 + 392*a^3*b^2*c^5 - 400*a^4*c^6)*d + (9*b^9*c - 153*a*b^7*c^2 + 947*a^2*b^5*c^3 - 2536*a^3*b^3*c^4 + 2480*a^4*b*c^5)*e)*f^2 - 3*((3*b^6*c^4 - 14*a*b^4*c^5 - 32*a^2*b^2*c^6 + 160*a^3*c^7)*d^2 - 26*(a*b^5*c^4 - 8*a^2*b^3*c^5 + 16*a^3*b*c^6)*d*e - 3*(b^8*c^2 - 17*a*b^6*c^3 + 98*a^2*b^4*c^4 - 224*a^3*b^2*c^5 + 160*a^4*c^6)*e^2)*f - (4*(b^7*c^7 - 12*a*b^5*c^8 + 48*a^2*b^3*c^9 - 64*a^3*b*c^10)*d + (b^8*c^6 - 24*a*b^6*c^7 + 192*a^2*b^4*c^8 - 640*a^3*b^2*c^9 + 768*a^4*c^10)*e - (3*b^9*c^5 - 52*a*b^7*c^6 + 336*a^2*b^5*c^7 - 960*a^3*b^3*c^8 + 1024*a^4*b*c^9)*f)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))*sqrt(-((b^3*c^4 + 12*a*b*c^5)*d^2 + 2*(b^4*c^3 - 6*a*b^2*c^4 - 24*a^2*c^5)*d*e + (b^5*c^2 - 15*a*b^3*c^3 + 60*a^2*b*c^4)*e^2 + (9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*f^2 - 2*((3*b^5*c^2 - 13*a*b^3*c^3 - 12*a^2*b*c^4)*d + (3*b^6*c - 40*a*b^4*c^2 + 150*a^2*b^2*c^3 - 120*a^3*c^4)*e)*f - (b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8)*sqrt((c^8*d^4 + 4*b*c^7*d^3*e + 6*(b^2*c^6 - 3*a*c^7)*d^2*e^2 + 4*(b^3*c^5 - 9*a*b*c^6)*d*e^3 + (b^4*c^4 - 18*a*b^2*c^5 + 81*a^2*c^6)*e^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*f^4 - 4*((27*b^6*c^2 - 108*a*b^4*c^3 - 180*a^2*b^2*c^4 + 125*a^3*c^5)*d + (27*b^7*c - 351*a*b^5*c^2 + 1197*a^2*b^3*c^3 - 550*a^3*b*c^4)*e)*f^3 + 6*((9*b^4*c^4 + 3*a*b^2*c^5 + 25*a^2*c^6)*d^2 + 2*(9*b^5*c^3 - 51*a*b^3*c^4 - 65*a^2*b*c^5)*d*e + (9*b^6*c^2 - 132*a*b^4*c^3 + 484*a^2*b^2*c^4 - 75*a^3*c^5)*e^2)*f^2 - 4*((3*b^2*c^6 + 5*a*c^7)*d^3 + 3*(3*b^3*c^5 - 4*a*b*c^6)*d^2*e + 3*(3*b^4*c^4 - 22*a*b^2*c^5 - 15*a^2*c^6)*d*e^2 + (3*b^5*c^3 - 49*a*b^3*c^4 + 198*a^2*b*c^5)*e^3)*f)/(b^6*c^10 - 12*a*b^4*c^11 + 48*a^2*b^2*c^12 - 64*a^3*c^13)))/(b^6*c^5 - 12*a*b^4*c^6 + 48*a^2*b^2*c^7 - 64*a^3*c^8))) + 2*(2*a*c^2*d - a*b*c*e + (3*a*b^2 - 10*a^2*c)*f)*x)/(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2)","B",0
70,1,8951,0,15.052829," ","integrate(x^2*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, c^{2} d - b c e + {\left(b^{2} - 2 \, a c\right)} f\right)} x^{3} + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f + {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}} \log\left({\left({\left(3 \, b^{2} c^{5} + 4 \, a c^{6}\right)} d^{4} - {\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{3} e + {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d e^{3} - {\left(3 \, a^{2} b^{2} c^{3} + 4 \, a^{3} c^{4}\right)} e^{4} + {\left(5 \, a^{3} b^{4} - 81 \, a^{4} b^{2} c + 324 \, a^{5} c^{2}\right)} f^{4} + {\left({\left(a b^{6} - 15 \, a^{2} b^{4} c + 432 \, a^{4} c^{3}\right)} d - {\left(3 \, a^{2} b^{5} - 65 \, a^{3} b^{3} c + 324 \, a^{4} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left(3 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} d^{2} - {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d e + {\left(3 \, a^{2} b^{4} c - 28 \, a^{3} b^{2} c^{2}\right)} e^{2}\right)} f^{2} - {\left({\left(b^{4} c^{3} - 24 \, a b^{2} c^{4} - 48 \, a^{2} c^{5}\right)} d^{3} + 9 \, {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d^{2} e - 3 \, {\left(a b^{4} c^{2} + 12 \, a^{2} b^{2} c^{3}\right)} d e^{2} + {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} d^{3} - 2 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6}\right)} d^{2} e - {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d e^{2} + 2 \, {\left(a^{2} b^{4} c^{3} - 8 \, a^{3} b^{2} c^{4} + 16 \, a^{4} c^{5}\right)} e^{3} - {\left(a^{2} b^{7} - 17 \, a^{3} b^{5} c + 88 \, a^{4} b^{3} c^{2} - 144 \, a^{5} b c^{3}\right)} f^{3} - {\left({\left(a b^{7} c - 23 \, a^{2} b^{5} c^{2} + 136 \, a^{3} b^{3} c^{3} - 240 \, a^{4} b c^{4}\right)} d + 18 \, {\left(a^{3} b^{4} c^{2} - 8 \, a^{4} b^{2} c^{3} + 16 \, a^{5} c^{4}\right)} e\right)} f^{2} + {\left(7 \, {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d^{2} - 2 \, {\left(a b^{6} c^{2} - 2 \, a^{2} b^{4} c^{3} - 32 \, a^{3} b^{2} c^{4} + 96 \, a^{4} c^{5}\right)} d e + 3 \, {\left(a^{2} b^{5} c^{2} - 8 \, a^{3} b^{3} c^{3} + 16 \, a^{4} b c^{4}\right)} e^{2}\right)} f - {\left({\left(a b^{8} c^{4} - 8 \, a^{2} b^{6} c^{5} + 128 \, a^{4} b^{2} c^{7} - 256 \, a^{5} c^{8}\right)} d - 4 \, {\left(a^{2} b^{7} c^{4} - 12 \, a^{3} b^{5} c^{5} + 48 \, a^{4} b^{3} c^{6} - 64 \, a^{5} b c^{7}\right)} e - {\left(a^{2} b^{8} c^{3} - 24 \, a^{3} b^{6} c^{4} + 192 \, a^{4} b^{4} c^{5} - 640 \, a^{5} b^{2} c^{6} + 768 \, a^{6} c^{7}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f + {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f + {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}} \log\left({\left({\left(3 \, b^{2} c^{5} + 4 \, a c^{6}\right)} d^{4} - {\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{3} e + {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d e^{3} - {\left(3 \, a^{2} b^{2} c^{3} + 4 \, a^{3} c^{4}\right)} e^{4} + {\left(5 \, a^{3} b^{4} - 81 \, a^{4} b^{2} c + 324 \, a^{5} c^{2}\right)} f^{4} + {\left({\left(a b^{6} - 15 \, a^{2} b^{4} c + 432 \, a^{4} c^{3}\right)} d - {\left(3 \, a^{2} b^{5} - 65 \, a^{3} b^{3} c + 324 \, a^{4} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left(3 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} d^{2} - {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d e + {\left(3 \, a^{2} b^{4} c - 28 \, a^{3} b^{2} c^{2}\right)} e^{2}\right)} f^{2} - {\left({\left(b^{4} c^{3} - 24 \, a b^{2} c^{4} - 48 \, a^{2} c^{5}\right)} d^{3} + 9 \, {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d^{2} e - 3 \, {\left(a b^{4} c^{2} + 12 \, a^{2} b^{2} c^{3}\right)} d e^{2} + {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} d^{3} - 2 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6}\right)} d^{2} e - {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d e^{2} + 2 \, {\left(a^{2} b^{4} c^{3} - 8 \, a^{3} b^{2} c^{4} + 16 \, a^{4} c^{5}\right)} e^{3} - {\left(a^{2} b^{7} - 17 \, a^{3} b^{5} c + 88 \, a^{4} b^{3} c^{2} - 144 \, a^{5} b c^{3}\right)} f^{3} - {\left({\left(a b^{7} c - 23 \, a^{2} b^{5} c^{2} + 136 \, a^{3} b^{3} c^{3} - 240 \, a^{4} b c^{4}\right)} d + 18 \, {\left(a^{3} b^{4} c^{2} - 8 \, a^{4} b^{2} c^{3} + 16 \, a^{5} c^{4}\right)} e\right)} f^{2} + {\left(7 \, {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d^{2} - 2 \, {\left(a b^{6} c^{2} - 2 \, a^{2} b^{4} c^{3} - 32 \, a^{3} b^{2} c^{4} + 96 \, a^{4} c^{5}\right)} d e + 3 \, {\left(a^{2} b^{5} c^{2} - 8 \, a^{3} b^{3} c^{3} + 16 \, a^{4} b c^{4}\right)} e^{2}\right)} f - {\left({\left(a b^{8} c^{4} - 8 \, a^{2} b^{6} c^{5} + 128 \, a^{4} b^{2} c^{7} - 256 \, a^{5} c^{8}\right)} d - 4 \, {\left(a^{2} b^{7} c^{4} - 12 \, a^{3} b^{5} c^{5} + 48 \, a^{4} b^{3} c^{6} - 64 \, a^{5} b c^{7}\right)} e - {\left(a^{2} b^{8} c^{3} - 24 \, a^{3} b^{6} c^{4} + 192 \, a^{4} b^{4} c^{5} - 640 \, a^{5} b^{2} c^{6} + 768 \, a^{6} c^{7}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f + {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}}\right) + \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f - {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}} \log\left({\left({\left(3 \, b^{2} c^{5} + 4 \, a c^{6}\right)} d^{4} - {\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{3} e + {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d e^{3} - {\left(3 \, a^{2} b^{2} c^{3} + 4 \, a^{3} c^{4}\right)} e^{4} + {\left(5 \, a^{3} b^{4} - 81 \, a^{4} b^{2} c + 324 \, a^{5} c^{2}\right)} f^{4} + {\left({\left(a b^{6} - 15 \, a^{2} b^{4} c + 432 \, a^{4} c^{3}\right)} d - {\left(3 \, a^{2} b^{5} - 65 \, a^{3} b^{3} c + 324 \, a^{4} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left(3 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} d^{2} - {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d e + {\left(3 \, a^{2} b^{4} c - 28 \, a^{3} b^{2} c^{2}\right)} e^{2}\right)} f^{2} - {\left({\left(b^{4} c^{3} - 24 \, a b^{2} c^{4} - 48 \, a^{2} c^{5}\right)} d^{3} + 9 \, {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d^{2} e - 3 \, {\left(a b^{4} c^{2} + 12 \, a^{2} b^{2} c^{3}\right)} d e^{2} + {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} d^{3} - 2 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6}\right)} d^{2} e - {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d e^{2} + 2 \, {\left(a^{2} b^{4} c^{3} - 8 \, a^{3} b^{2} c^{4} + 16 \, a^{4} c^{5}\right)} e^{3} - {\left(a^{2} b^{7} - 17 \, a^{3} b^{5} c + 88 \, a^{4} b^{3} c^{2} - 144 \, a^{5} b c^{3}\right)} f^{3} - {\left({\left(a b^{7} c - 23 \, a^{2} b^{5} c^{2} + 136 \, a^{3} b^{3} c^{3} - 240 \, a^{4} b c^{4}\right)} d + 18 \, {\left(a^{3} b^{4} c^{2} - 8 \, a^{4} b^{2} c^{3} + 16 \, a^{5} c^{4}\right)} e\right)} f^{2} + {\left(7 \, {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d^{2} - 2 \, {\left(a b^{6} c^{2} - 2 \, a^{2} b^{4} c^{3} - 32 \, a^{3} b^{2} c^{4} + 96 \, a^{4} c^{5}\right)} d e + 3 \, {\left(a^{2} b^{5} c^{2} - 8 \, a^{3} b^{3} c^{3} + 16 \, a^{4} b c^{4}\right)} e^{2}\right)} f + {\left({\left(a b^{8} c^{4} - 8 \, a^{2} b^{6} c^{5} + 128 \, a^{4} b^{2} c^{7} - 256 \, a^{5} c^{8}\right)} d - 4 \, {\left(a^{2} b^{7} c^{4} - 12 \, a^{3} b^{5} c^{5} + 48 \, a^{4} b^{3} c^{6} - 64 \, a^{5} b c^{7}\right)} e - {\left(a^{2} b^{8} c^{3} - 24 \, a^{3} b^{6} c^{4} + 192 \, a^{4} b^{4} c^{5} - 640 \, a^{5} b^{2} c^{6} + 768 \, a^{6} c^{7}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f - {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f - {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}} \log\left({\left({\left(3 \, b^{2} c^{5} + 4 \, a c^{6}\right)} d^{4} - {\left(b^{3} c^{4} + 12 \, a b c^{5}\right)} d^{3} e + {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d e^{3} - {\left(3 \, a^{2} b^{2} c^{3} + 4 \, a^{3} c^{4}\right)} e^{4} + {\left(5 \, a^{3} b^{4} - 81 \, a^{4} b^{2} c + 324 \, a^{5} c^{2}\right)} f^{4} + {\left({\left(a b^{6} - 15 \, a^{2} b^{4} c + 432 \, a^{4} c^{3}\right)} d - {\left(3 \, a^{2} b^{5} - 65 \, a^{3} b^{3} c + 324 \, a^{4} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left(3 \, {\left(a b^{4} c^{2} - 6 \, a^{2} b^{2} c^{3} - 24 \, a^{3} c^{4}\right)} d^{2} - {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d e + {\left(3 \, a^{2} b^{4} c - 28 \, a^{3} b^{2} c^{2}\right)} e^{2}\right)} f^{2} - {\left({\left(b^{4} c^{3} - 24 \, a b^{2} c^{4} - 48 \, a^{2} c^{5}\right)} d^{3} + 9 \, {\left(a b^{3} c^{3} + 12 \, a^{2} b c^{4}\right)} d^{2} e - 3 \, {\left(a b^{4} c^{2} + 12 \, a^{2} b^{2} c^{3}\right)} d e^{2} + {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{5} c^{4} - 8 \, a b^{3} c^{5} + 16 \, a^{2} b c^{6}\right)} d^{3} - 2 \, {\left(a b^{4} c^{4} - 8 \, a^{2} b^{2} c^{5} + 16 \, a^{3} c^{6}\right)} d^{2} e - {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d e^{2} + 2 \, {\left(a^{2} b^{4} c^{3} - 8 \, a^{3} b^{2} c^{4} + 16 \, a^{4} c^{5}\right)} e^{3} - {\left(a^{2} b^{7} - 17 \, a^{3} b^{5} c + 88 \, a^{4} b^{3} c^{2} - 144 \, a^{5} b c^{3}\right)} f^{3} - {\left({\left(a b^{7} c - 23 \, a^{2} b^{5} c^{2} + 136 \, a^{3} b^{3} c^{3} - 240 \, a^{4} b c^{4}\right)} d + 18 \, {\left(a^{3} b^{4} c^{2} - 8 \, a^{4} b^{2} c^{3} + 16 \, a^{5} c^{4}\right)} e\right)} f^{2} + {\left(7 \, {\left(a b^{5} c^{3} - 8 \, a^{2} b^{3} c^{4} + 16 \, a^{3} b c^{5}\right)} d^{2} - 2 \, {\left(a b^{6} c^{2} - 2 \, a^{2} b^{4} c^{3} - 32 \, a^{3} b^{2} c^{4} + 96 \, a^{4} c^{5}\right)} d e + 3 \, {\left(a^{2} b^{5} c^{2} - 8 \, a^{3} b^{3} c^{3} + 16 \, a^{4} b c^{4}\right)} e^{2}\right)} f + {\left({\left(a b^{8} c^{4} - 8 \, a^{2} b^{6} c^{5} + 128 \, a^{4} b^{2} c^{7} - 256 \, a^{5} c^{8}\right)} d - 4 \, {\left(a^{2} b^{7} c^{4} - 12 \, a^{3} b^{5} c^{5} + 48 \, a^{4} b^{3} c^{6} - 64 \, a^{5} b c^{7}\right)} e - {\left(a^{2} b^{8} c^{3} - 24 \, a^{3} b^{6} c^{4} + 192 \, a^{4} b^{4} c^{5} - 640 \, a^{5} b^{2} c^{6} + 768 \, a^{6} c^{7}\right)} f\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}\right)} \sqrt{-\frac{{\left(b^{3} c^{3} + 12 \, a b c^{4}\right)} d^{2} - 4 \, {\left(3 \, a b^{2} c^{3} + 4 \, a^{2} c^{4}\right)} d e + {\left(a b^{3} c^{2} + 12 \, a^{2} b c^{3}\right)} e^{2} + {\left(a b^{5} - 15 \, a^{2} b^{3} c + 60 \, a^{3} b c^{2}\right)} f^{2} - 2 \, {\left({\left(3 \, a b^{3} c^{2} - 28 \, a^{2} b c^{3}\right)} d - {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} e\right)} f - {\left(a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}\right)} \sqrt{\frac{c^{6} d^{4} - 2 \, a c^{5} d^{2} e^{2} + a^{2} c^{4} e^{4} + {\left(a^{2} b^{4} - 18 \, a^{3} b^{2} c + 81 \, a^{4} c^{2}\right)} f^{4} - 4 \, {\left(3 \, {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d - {\left(a^{2} b^{3} c - 9 \, a^{3} b c^{2}\right)} e\right)} f^{3} - 2 \, {\left(12 \, a^{2} b c^{3} d e + {\left(a b^{2} c^{3} - 27 \, a^{2} c^{4}\right)} d^{2} - 3 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} e^{2}\right)} f^{2} + 4 \, {\left(3 \, a c^{5} d^{3} - a b c^{4} d^{2} e - 3 \, a^{2} c^{4} d e^{2} + a^{2} b c^{3} e^{3}\right)} f}{a^{2} b^{6} c^{6} - 12 \, a^{3} b^{4} c^{7} + 48 \, a^{4} b^{2} c^{8} - 64 \, a^{5} c^{9}}}}{a b^{6} c^{3} - 12 \, a^{2} b^{4} c^{4} + 48 \, a^{3} b^{2} c^{5} - 64 \, a^{4} c^{6}}}\right) + 2 \, {\left(b c d - 2 \, a c e + a b f\right)} x}{4 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)}}"," ",0,"-1/4*(2*(2*c^2*d - b*c*e + (b^2 - 2*a*c)*f)*x^3 + sqrt(1/2)*((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2)*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f + (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))*log(((3*b^2*c^5 + 4*a*c^6)*d^4 - (b^3*c^4 + 12*a*b*c^5)*d^3*e + (a*b^3*c^3 + 12*a^2*b*c^4)*d*e^3 - (3*a^2*b^2*c^3 + 4*a^3*c^4)*e^4 + (5*a^3*b^4 - 81*a^4*b^2*c + 324*a^5*c^2)*f^4 + ((a*b^6 - 15*a^2*b^4*c + 432*a^4*c^3)*d - (3*a^2*b^5 - 65*a^3*b^3*c + 324*a^4*b*c^2)*e)*f^3 - 3*(3*(a*b^4*c^2 - 6*a^2*b^2*c^3 - 24*a^3*c^4)*d^2 - (a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d*e + (3*a^2*b^4*c - 28*a^3*b^2*c^2)*e^2)*f^2 - ((b^4*c^3 - 24*a*b^2*c^4 - 48*a^2*c^5)*d^3 + 9*(a*b^3*c^3 + 12*a^2*b*c^4)*d^2*e - 3*(a*b^4*c^2 + 12*a^2*b^2*c^3)*d*e^2 + (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*e^3)*f)*x + 1/2*sqrt(1/2)*((b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*d^3 - 2*(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6)*d^2*e - (a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d*e^2 + 2*(a^2*b^4*c^3 - 8*a^3*b^2*c^4 + 16*a^4*c^5)*e^3 - (a^2*b^7 - 17*a^3*b^5*c + 88*a^4*b^3*c^2 - 144*a^5*b*c^3)*f^3 - ((a*b^7*c - 23*a^2*b^5*c^2 + 136*a^3*b^3*c^3 - 240*a^4*b*c^4)*d + 18*(a^3*b^4*c^2 - 8*a^4*b^2*c^3 + 16*a^5*c^4)*e)*f^2 + (7*(a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d^2 - 2*(a*b^6*c^2 - 2*a^2*b^4*c^3 - 32*a^3*b^2*c^4 + 96*a^4*c^5)*d*e + 3*(a^2*b^5*c^2 - 8*a^3*b^3*c^3 + 16*a^4*b*c^4)*e^2)*f - ((a*b^8*c^4 - 8*a^2*b^6*c^5 + 128*a^4*b^2*c^7 - 256*a^5*c^8)*d - 4*(a^2*b^7*c^4 - 12*a^3*b^5*c^5 + 48*a^4*b^3*c^6 - 64*a^5*b*c^7)*e - (a^2*b^8*c^3 - 24*a^3*b^6*c^4 + 192*a^4*b^4*c^5 - 640*a^5*b^2*c^6 + 768*a^6*c^7)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f + (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))) - sqrt(1/2)*((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2)*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f + (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))*log(((3*b^2*c^5 + 4*a*c^6)*d^4 - (b^3*c^4 + 12*a*b*c^5)*d^3*e + (a*b^3*c^3 + 12*a^2*b*c^4)*d*e^3 - (3*a^2*b^2*c^3 + 4*a^3*c^4)*e^4 + (5*a^3*b^4 - 81*a^4*b^2*c + 324*a^5*c^2)*f^4 + ((a*b^6 - 15*a^2*b^4*c + 432*a^4*c^3)*d - (3*a^2*b^5 - 65*a^3*b^3*c + 324*a^4*b*c^2)*e)*f^3 - 3*(3*(a*b^4*c^2 - 6*a^2*b^2*c^3 - 24*a^3*c^4)*d^2 - (a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d*e + (3*a^2*b^4*c - 28*a^3*b^2*c^2)*e^2)*f^2 - ((b^4*c^3 - 24*a*b^2*c^4 - 48*a^2*c^5)*d^3 + 9*(a*b^3*c^3 + 12*a^2*b*c^4)*d^2*e - 3*(a*b^4*c^2 + 12*a^2*b^2*c^3)*d*e^2 + (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*e^3)*f)*x - 1/2*sqrt(1/2)*((b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*d^3 - 2*(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6)*d^2*e - (a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d*e^2 + 2*(a^2*b^4*c^3 - 8*a^3*b^2*c^4 + 16*a^4*c^5)*e^3 - (a^2*b^7 - 17*a^3*b^5*c + 88*a^4*b^3*c^2 - 144*a^5*b*c^3)*f^3 - ((a*b^7*c - 23*a^2*b^5*c^2 + 136*a^3*b^3*c^3 - 240*a^4*b*c^4)*d + 18*(a^3*b^4*c^2 - 8*a^4*b^2*c^3 + 16*a^5*c^4)*e)*f^2 + (7*(a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d^2 - 2*(a*b^6*c^2 - 2*a^2*b^4*c^3 - 32*a^3*b^2*c^4 + 96*a^4*c^5)*d*e + 3*(a^2*b^5*c^2 - 8*a^3*b^3*c^3 + 16*a^4*b*c^4)*e^2)*f - ((a*b^8*c^4 - 8*a^2*b^6*c^5 + 128*a^4*b^2*c^7 - 256*a^5*c^8)*d - 4*(a^2*b^7*c^4 - 12*a^3*b^5*c^5 + 48*a^4*b^3*c^6 - 64*a^5*b*c^7)*e - (a^2*b^8*c^3 - 24*a^3*b^6*c^4 + 192*a^4*b^4*c^5 - 640*a^5*b^2*c^6 + 768*a^6*c^7)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f + (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))) + sqrt(1/2)*((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2)*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f - (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))*log(((3*b^2*c^5 + 4*a*c^6)*d^4 - (b^3*c^4 + 12*a*b*c^5)*d^3*e + (a*b^3*c^3 + 12*a^2*b*c^4)*d*e^3 - (3*a^2*b^2*c^3 + 4*a^3*c^4)*e^4 + (5*a^3*b^4 - 81*a^4*b^2*c + 324*a^5*c^2)*f^4 + ((a*b^6 - 15*a^2*b^4*c + 432*a^4*c^3)*d - (3*a^2*b^5 - 65*a^3*b^3*c + 324*a^4*b*c^2)*e)*f^3 - 3*(3*(a*b^4*c^2 - 6*a^2*b^2*c^3 - 24*a^3*c^4)*d^2 - (a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d*e + (3*a^2*b^4*c - 28*a^3*b^2*c^2)*e^2)*f^2 - ((b^4*c^3 - 24*a*b^2*c^4 - 48*a^2*c^5)*d^3 + 9*(a*b^3*c^3 + 12*a^2*b*c^4)*d^2*e - 3*(a*b^4*c^2 + 12*a^2*b^2*c^3)*d*e^2 + (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*e^3)*f)*x + 1/2*sqrt(1/2)*((b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*d^3 - 2*(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6)*d^2*e - (a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d*e^2 + 2*(a^2*b^4*c^3 - 8*a^3*b^2*c^4 + 16*a^4*c^5)*e^3 - (a^2*b^7 - 17*a^3*b^5*c + 88*a^4*b^3*c^2 - 144*a^5*b*c^3)*f^3 - ((a*b^7*c - 23*a^2*b^5*c^2 + 136*a^3*b^3*c^3 - 240*a^4*b*c^4)*d + 18*(a^3*b^4*c^2 - 8*a^4*b^2*c^3 + 16*a^5*c^4)*e)*f^2 + (7*(a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d^2 - 2*(a*b^6*c^2 - 2*a^2*b^4*c^3 - 32*a^3*b^2*c^4 + 96*a^4*c^5)*d*e + 3*(a^2*b^5*c^2 - 8*a^3*b^3*c^3 + 16*a^4*b*c^4)*e^2)*f + ((a*b^8*c^4 - 8*a^2*b^6*c^5 + 128*a^4*b^2*c^7 - 256*a^5*c^8)*d - 4*(a^2*b^7*c^4 - 12*a^3*b^5*c^5 + 48*a^4*b^3*c^6 - 64*a^5*b*c^7)*e - (a^2*b^8*c^3 - 24*a^3*b^6*c^4 + 192*a^4*b^4*c^5 - 640*a^5*b^2*c^6 + 768*a^6*c^7)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f - (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))) - sqrt(1/2)*((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2)*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f - (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))*log(((3*b^2*c^5 + 4*a*c^6)*d^4 - (b^3*c^4 + 12*a*b*c^5)*d^3*e + (a*b^3*c^3 + 12*a^2*b*c^4)*d*e^3 - (3*a^2*b^2*c^3 + 4*a^3*c^4)*e^4 + (5*a^3*b^4 - 81*a^4*b^2*c + 324*a^5*c^2)*f^4 + ((a*b^6 - 15*a^2*b^4*c + 432*a^4*c^3)*d - (3*a^2*b^5 - 65*a^3*b^3*c + 324*a^4*b*c^2)*e)*f^3 - 3*(3*(a*b^4*c^2 - 6*a^2*b^2*c^3 - 24*a^3*c^4)*d^2 - (a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d*e + (3*a^2*b^4*c - 28*a^3*b^2*c^2)*e^2)*f^2 - ((b^4*c^3 - 24*a*b^2*c^4 - 48*a^2*c^5)*d^3 + 9*(a*b^3*c^3 + 12*a^2*b*c^4)*d^2*e - 3*(a*b^4*c^2 + 12*a^2*b^2*c^3)*d*e^2 + (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*e^3)*f)*x - 1/2*sqrt(1/2)*((b^5*c^4 - 8*a*b^3*c^5 + 16*a^2*b*c^6)*d^3 - 2*(a*b^4*c^4 - 8*a^2*b^2*c^5 + 16*a^3*c^6)*d^2*e - (a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d*e^2 + 2*(a^2*b^4*c^3 - 8*a^3*b^2*c^4 + 16*a^4*c^5)*e^3 - (a^2*b^7 - 17*a^3*b^5*c + 88*a^4*b^3*c^2 - 144*a^5*b*c^3)*f^3 - ((a*b^7*c - 23*a^2*b^5*c^2 + 136*a^3*b^3*c^3 - 240*a^4*b*c^4)*d + 18*(a^3*b^4*c^2 - 8*a^4*b^2*c^3 + 16*a^5*c^4)*e)*f^2 + (7*(a*b^5*c^3 - 8*a^2*b^3*c^4 + 16*a^3*b*c^5)*d^2 - 2*(a*b^6*c^2 - 2*a^2*b^4*c^3 - 32*a^3*b^2*c^4 + 96*a^4*c^5)*d*e + 3*(a^2*b^5*c^2 - 8*a^3*b^3*c^3 + 16*a^4*b*c^4)*e^2)*f + ((a*b^8*c^4 - 8*a^2*b^6*c^5 + 128*a^4*b^2*c^7 - 256*a^5*c^8)*d - 4*(a^2*b^7*c^4 - 12*a^3*b^5*c^5 + 48*a^4*b^3*c^6 - 64*a^5*b*c^7)*e - (a^2*b^8*c^3 - 24*a^3*b^6*c^4 + 192*a^4*b^4*c^5 - 640*a^5*b^2*c^6 + 768*a^6*c^7)*f)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))*sqrt(-((b^3*c^3 + 12*a*b*c^4)*d^2 - 4*(3*a*b^2*c^3 + 4*a^2*c^4)*d*e + (a*b^3*c^2 + 12*a^2*b*c^3)*e^2 + (a*b^5 - 15*a^2*b^3*c + 60*a^3*b*c^2)*f^2 - 2*((3*a*b^3*c^2 - 28*a^2*b*c^3)*d - (a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*e)*f - (a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6)*sqrt((c^6*d^4 - 2*a*c^5*d^2*e^2 + a^2*c^4*e^4 + (a^2*b^4 - 18*a^3*b^2*c + 81*a^4*c^2)*f^4 - 4*(3*(a^2*b^2*c^2 - 9*a^3*c^3)*d - (a^2*b^3*c - 9*a^3*b*c^2)*e)*f^3 - 2*(12*a^2*b*c^3*d*e + (a*b^2*c^3 - 27*a^2*c^4)*d^2 - 3*(a^2*b^2*c^2 - 3*a^3*c^3)*e^2)*f^2 + 4*(3*a*c^5*d^3 - a*b*c^4*d^2*e - 3*a^2*c^4*d*e^2 + a^2*b*c^3*e^3)*f)/(a^2*b^6*c^6 - 12*a^3*b^4*c^7 + 48*a^4*b^2*c^8 - 64*a^5*c^9)))/(a*b^6*c^3 - 12*a^2*b^4*c^4 + 48*a^3*b^2*c^5 - 64*a^4*c^6))) + 2*(b*c*d - 2*a*c*e + a*b*f)*x)/((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2)","B",0
71,1,8991,0,17.136171," ","integrate((f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(b c d - 2 \, a c e + a b f\right)} x^{3} + \sqrt{\frac{1}{2}} {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f + {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}} \log\left({\left({\left(5 \, b^{4} c^{3} - 81 \, a b^{2} c^{4} + 324 \, a^{2} c^{5}\right)} d^{4} - {\left(3 \, b^{5} c^{2} - 65 \, a b^{3} c^{3} + 324 \, a^{2} b c^{4}\right)} d^{3} e - 3 \, {\left(3 \, a b^{4} c^{2} - 28 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} d e^{3} - {\left(3 \, a^{3} b^{2} c^{2} + 4 \, a^{4} c^{3}\right)} e^{4} + {\left(3 \, a^{5} b^{2} + 4 \, a^{6} c\right)} f^{4} - {\left({\left(a^{3} b^{4} - 24 \, a^{4} b^{2} c - 48 \, a^{5} c^{2}\right)} d + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} e\right)} f^{3} - 9 \, {\left({\left(a^{2} b^{4} c - 6 \, a^{3} b^{2} c^{2} - 24 \, a^{4} c^{3}\right)} d^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 15 \, a b^{4} c^{2} + 432 \, a^{3} c^{4}\right)} d^{3} + 3 \, {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c + 12 \, a^{3} b^{2} c^{2}\right)} d e^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{8} c - 23 \, a b^{6} c^{2} + 190 \, a^{2} b^{4} c^{3} - 672 \, a^{3} b^{2} c^{4} + 864 \, a^{4} c^{5}\right)} d^{3} + 3 \, {\left(a b^{7} c - 15 \, a^{2} b^{5} c^{2} + 72 \, a^{3} b^{3} c^{3} - 112 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c - 10 \, a^{3} b^{4} c^{2} + 32 \, a^{4} b^{2} c^{3} - 32 \, a^{5} c^{4}\right)} d e^{2} + {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} e^{3} + 2 \, {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} f^{3} - {\left({\left(a^{3} b^{6} - 26 \, a^{4} b^{4} c + 160 \, a^{5} b^{2} c^{2} - 288 \, a^{6} c^{3}\right)} d + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} e\right)} f^{2} - 2 \, {\left({\left(4 \, a^{2} b^{6} c - 59 \, a^{3} b^{4} c^{2} + 280 \, a^{4} b^{2} c^{3} - 432 \, a^{5} c^{4}\right)} d^{2} + 5 \, {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} d e + {\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} e^{2}\right)} f - {\left({\left(a^{3} b^{9} c - 20 \, a^{4} b^{7} c^{2} + 144 \, a^{5} b^{5} c^{3} - 448 \, a^{6} b^{3} c^{4} + 512 \, a^{7} b c^{5}\right)} d + {\left(a^{4} b^{8} c - 8 \, a^{5} b^{6} c^{2} + 128 \, a^{7} b^{2} c^{4} - 256 \, a^{8} c^{5}\right)} e - 4 \, {\left(a^{5} b^{7} c - 12 \, a^{6} b^{5} c^{2} + 48 \, a^{7} b^{3} c^{3} - 64 \, a^{8} b c^{4}\right)} f\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f + {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f + {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}} \log\left({\left({\left(5 \, b^{4} c^{3} - 81 \, a b^{2} c^{4} + 324 \, a^{2} c^{5}\right)} d^{4} - {\left(3 \, b^{5} c^{2} - 65 \, a b^{3} c^{3} + 324 \, a^{2} b c^{4}\right)} d^{3} e - 3 \, {\left(3 \, a b^{4} c^{2} - 28 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} d e^{3} - {\left(3 \, a^{3} b^{2} c^{2} + 4 \, a^{4} c^{3}\right)} e^{4} + {\left(3 \, a^{5} b^{2} + 4 \, a^{6} c\right)} f^{4} - {\left({\left(a^{3} b^{4} - 24 \, a^{4} b^{2} c - 48 \, a^{5} c^{2}\right)} d + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} e\right)} f^{3} - 9 \, {\left({\left(a^{2} b^{4} c - 6 \, a^{3} b^{2} c^{2} - 24 \, a^{4} c^{3}\right)} d^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 15 \, a b^{4} c^{2} + 432 \, a^{3} c^{4}\right)} d^{3} + 3 \, {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c + 12 \, a^{3} b^{2} c^{2}\right)} d e^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{8} c - 23 \, a b^{6} c^{2} + 190 \, a^{2} b^{4} c^{3} - 672 \, a^{3} b^{2} c^{4} + 864 \, a^{4} c^{5}\right)} d^{3} + 3 \, {\left(a b^{7} c - 15 \, a^{2} b^{5} c^{2} + 72 \, a^{3} b^{3} c^{3} - 112 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c - 10 \, a^{3} b^{4} c^{2} + 32 \, a^{4} b^{2} c^{3} - 32 \, a^{5} c^{4}\right)} d e^{2} + {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} e^{3} + 2 \, {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} f^{3} - {\left({\left(a^{3} b^{6} - 26 \, a^{4} b^{4} c + 160 \, a^{5} b^{2} c^{2} - 288 \, a^{6} c^{3}\right)} d + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} e\right)} f^{2} - 2 \, {\left({\left(4 \, a^{2} b^{6} c - 59 \, a^{3} b^{4} c^{2} + 280 \, a^{4} b^{2} c^{3} - 432 \, a^{5} c^{4}\right)} d^{2} + 5 \, {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} d e + {\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} e^{2}\right)} f - {\left({\left(a^{3} b^{9} c - 20 \, a^{4} b^{7} c^{2} + 144 \, a^{5} b^{5} c^{3} - 448 \, a^{6} b^{3} c^{4} + 512 \, a^{7} b c^{5}\right)} d + {\left(a^{4} b^{8} c - 8 \, a^{5} b^{6} c^{2} + 128 \, a^{7} b^{2} c^{4} - 256 \, a^{8} c^{5}\right)} e - 4 \, {\left(a^{5} b^{7} c - 12 \, a^{6} b^{5} c^{2} + 48 \, a^{7} b^{3} c^{3} - 64 \, a^{8} b c^{4}\right)} f\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f + {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}}\right) + \sqrt{\frac{1}{2}} {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f - {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}} \log\left({\left({\left(5 \, b^{4} c^{3} - 81 \, a b^{2} c^{4} + 324 \, a^{2} c^{5}\right)} d^{4} - {\left(3 \, b^{5} c^{2} - 65 \, a b^{3} c^{3} + 324 \, a^{2} b c^{4}\right)} d^{3} e - 3 \, {\left(3 \, a b^{4} c^{2} - 28 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} d e^{3} - {\left(3 \, a^{3} b^{2} c^{2} + 4 \, a^{4} c^{3}\right)} e^{4} + {\left(3 \, a^{5} b^{2} + 4 \, a^{6} c\right)} f^{4} - {\left({\left(a^{3} b^{4} - 24 \, a^{4} b^{2} c - 48 \, a^{5} c^{2}\right)} d + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} e\right)} f^{3} - 9 \, {\left({\left(a^{2} b^{4} c - 6 \, a^{3} b^{2} c^{2} - 24 \, a^{4} c^{3}\right)} d^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 15 \, a b^{4} c^{2} + 432 \, a^{3} c^{4}\right)} d^{3} + 3 \, {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c + 12 \, a^{3} b^{2} c^{2}\right)} d e^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{8} c - 23 \, a b^{6} c^{2} + 190 \, a^{2} b^{4} c^{3} - 672 \, a^{3} b^{2} c^{4} + 864 \, a^{4} c^{5}\right)} d^{3} + 3 \, {\left(a b^{7} c - 15 \, a^{2} b^{5} c^{2} + 72 \, a^{3} b^{3} c^{3} - 112 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c - 10 \, a^{3} b^{4} c^{2} + 32 \, a^{4} b^{2} c^{3} - 32 \, a^{5} c^{4}\right)} d e^{2} + {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} e^{3} + 2 \, {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} f^{3} - {\left({\left(a^{3} b^{6} - 26 \, a^{4} b^{4} c + 160 \, a^{5} b^{2} c^{2} - 288 \, a^{6} c^{3}\right)} d + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} e\right)} f^{2} - 2 \, {\left({\left(4 \, a^{2} b^{6} c - 59 \, a^{3} b^{4} c^{2} + 280 \, a^{4} b^{2} c^{3} - 432 \, a^{5} c^{4}\right)} d^{2} + 5 \, {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} d e + {\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} e^{2}\right)} f + {\left({\left(a^{3} b^{9} c - 20 \, a^{4} b^{7} c^{2} + 144 \, a^{5} b^{5} c^{3} - 448 \, a^{6} b^{3} c^{4} + 512 \, a^{7} b c^{5}\right)} d + {\left(a^{4} b^{8} c - 8 \, a^{5} b^{6} c^{2} + 128 \, a^{7} b^{2} c^{4} - 256 \, a^{8} c^{5}\right)} e - 4 \, {\left(a^{5} b^{7} c - 12 \, a^{6} b^{5} c^{2} + 48 \, a^{7} b^{3} c^{3} - 64 \, a^{8} b c^{4}\right)} f\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f - {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f - {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}} \log\left({\left({\left(5 \, b^{4} c^{3} - 81 \, a b^{2} c^{4} + 324 \, a^{2} c^{5}\right)} d^{4} - {\left(3 \, b^{5} c^{2} - 65 \, a b^{3} c^{3} + 324 \, a^{2} b c^{4}\right)} d^{3} e - 3 \, {\left(3 \, a b^{4} c^{2} - 28 \, a^{2} b^{2} c^{3}\right)} d^{2} e^{2} - {\left(9 \, a^{2} b^{3} c^{2} - 20 \, a^{3} b c^{3}\right)} d e^{3} - {\left(3 \, a^{3} b^{2} c^{2} + 4 \, a^{4} c^{3}\right)} e^{4} + {\left(3 \, a^{5} b^{2} + 4 \, a^{6} c\right)} f^{4} - {\left({\left(a^{3} b^{4} - 24 \, a^{4} b^{2} c - 48 \, a^{5} c^{2}\right)} d + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} e\right)} f^{3} - 9 \, {\left({\left(a^{2} b^{4} c - 6 \, a^{3} b^{2} c^{2} - 24 \, a^{4} c^{3}\right)} d^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} d e\right)} f^{2} + {\left({\left(b^{6} c - 15 \, a b^{4} c^{2} + 432 \, a^{3} c^{4}\right)} d^{3} + 3 \, {\left(a b^{5} c + 3 \, a^{2} b^{3} c^{2} - 108 \, a^{3} b c^{3}\right)} d^{2} e + 3 \, {\left(a^{2} b^{4} c + 12 \, a^{3} b^{2} c^{2}\right)} d e^{2} + {\left(a^{3} b^{3} c + 12 \, a^{4} b c^{2}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(b^{8} c - 23 \, a b^{6} c^{2} + 190 \, a^{2} b^{4} c^{3} - 672 \, a^{3} b^{2} c^{4} + 864 \, a^{4} c^{5}\right)} d^{3} + 3 \, {\left(a b^{7} c - 15 \, a^{2} b^{5} c^{2} + 72 \, a^{3} b^{3} c^{3} - 112 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(a^{2} b^{6} c - 10 \, a^{3} b^{4} c^{2} + 32 \, a^{4} b^{2} c^{3} - 32 \, a^{5} c^{4}\right)} d e^{2} + {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} e^{3} + 2 \, {\left(a^{5} b^{4} - 8 \, a^{6} b^{2} c + 16 \, a^{7} c^{2}\right)} f^{3} - {\left({\left(a^{3} b^{6} - 26 \, a^{4} b^{4} c + 160 \, a^{5} b^{2} c^{2} - 288 \, a^{6} c^{3}\right)} d + {\left(a^{4} b^{5} - 8 \, a^{5} b^{3} c + 16 \, a^{6} b c^{2}\right)} e\right)} f^{2} - 2 \, {\left({\left(4 \, a^{2} b^{6} c - 59 \, a^{3} b^{4} c^{2} + 280 \, a^{4} b^{2} c^{3} - 432 \, a^{5} c^{4}\right)} d^{2} + 5 \, {\left(a^{3} b^{5} c - 8 \, a^{4} b^{3} c^{2} + 16 \, a^{5} b c^{3}\right)} d e + {\left(a^{4} b^{4} c - 8 \, a^{5} b^{2} c^{2} + 16 \, a^{6} c^{3}\right)} e^{2}\right)} f + {\left({\left(a^{3} b^{9} c - 20 \, a^{4} b^{7} c^{2} + 144 \, a^{5} b^{5} c^{3} - 448 \, a^{6} b^{3} c^{4} + 512 \, a^{7} b c^{5}\right)} d + {\left(a^{4} b^{8} c - 8 \, a^{5} b^{6} c^{2} + 128 \, a^{7} b^{2} c^{4} - 256 \, a^{8} c^{5}\right)} e - 4 \, {\left(a^{5} b^{7} c - 12 \, a^{6} b^{5} c^{2} + 48 \, a^{7} b^{3} c^{3} - 64 \, a^{8} b c^{4}\right)} f\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}\right)} \sqrt{-\frac{{\left(b^{5} c - 15 \, a b^{3} c^{2} + 60 \, a^{2} b c^{3}\right)} d^{2} + 2 \, {\left(a b^{4} c - 6 \, a^{2} b^{2} c^{2} - 24 \, a^{3} c^{3}\right)} d e + {\left(a^{2} b^{3} c + 12 \, a^{3} b c^{2}\right)} e^{2} + {\left(a^{3} b^{3} + 12 \, a^{4} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{3} c - 28 \, a^{3} b c^{2}\right)} d + 2 \, {\left(3 \, a^{3} b^{2} c + 4 \, a^{4} c^{2}\right)} e\right)} f - {\left(a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}\right)} \sqrt{\frac{4 \, a^{3} b c^{2} d e^{3} + a^{4} c^{2} e^{4} + 12 \, a^{5} c d f^{3} + a^{6} f^{4} + {\left(b^{4} c^{2} - 18 \, a b^{2} c^{3} + 81 \, a^{2} c^{4}\right)} d^{4} + 4 \, {\left(a b^{3} c^{2} - 9 \, a^{2} b c^{3}\right)} d^{3} e + 6 \, {\left(a^{2} b^{2} c^{2} - 3 \, a^{3} c^{3}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{4} b c d e + a^{5} c e^{2} + {\left(a^{3} b^{2} c - 27 \, a^{4} c^{2}\right)} d^{2}\right)} f^{2} - 12 \, {\left(2 \, a^{3} b c^{2} d^{2} e + a^{4} c^{2} d e^{2} + {\left(a^{2} b^{2} c^{2} - 9 \, a^{3} c^{3}\right)} d^{3}\right)} f}{a^{6} b^{6} c^{2} - 12 \, a^{7} b^{4} c^{3} + 48 \, a^{8} b^{2} c^{4} - 64 \, a^{9} c^{5}}}}{a^{3} b^{6} c - 12 \, a^{4} b^{4} c^{2} + 48 \, a^{5} b^{2} c^{3} - 64 \, a^{6} c^{4}}}\right) - 2 \, {\left(a b e - 2 \, a^{2} f - {\left(b^{2} - 2 \, a c\right)} d\right)} x}{4 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)}}"," ",0,"1/4*(2*(b*c*d - 2*a*c*e + a*b*f)*x^3 + sqrt(1/2)*((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2)*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f + (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))*log(((5*b^4*c^3 - 81*a*b^2*c^4 + 324*a^2*c^5)*d^4 - (3*b^5*c^2 - 65*a*b^3*c^3 + 324*a^2*b*c^4)*d^3*e - 3*(3*a*b^4*c^2 - 28*a^2*b^2*c^3)*d^2*e^2 - (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*d*e^3 - (3*a^3*b^2*c^2 + 4*a^4*c^3)*e^4 + (3*a^5*b^2 + 4*a^6*c)*f^4 - ((a^3*b^4 - 24*a^4*b^2*c - 48*a^5*c^2)*d + (a^4*b^3 + 12*a^5*b*c)*e)*f^3 - 9*((a^2*b^4*c - 6*a^3*b^2*c^2 - 24*a^4*c^3)*d^2 + (a^3*b^3*c + 12*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 15*a*b^4*c^2 + 432*a^3*c^4)*d^3 + 3*(a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c + 12*a^3*b^2*c^2)*d*e^2 + (a^3*b^3*c + 12*a^4*b*c^2)*e^3)*f)*x + 1/2*sqrt(1/2)*((b^8*c - 23*a*b^6*c^2 + 190*a^2*b^4*c^3 - 672*a^3*b^2*c^4 + 864*a^4*c^5)*d^3 + 3*(a*b^7*c - 15*a^2*b^5*c^2 + 72*a^3*b^3*c^3 - 112*a^4*b*c^4)*d^2*e + 3*(a^2*b^6*c - 10*a^3*b^4*c^2 + 32*a^4*b^2*c^3 - 32*a^5*c^4)*d*e^2 + (a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*e^3 + 2*(a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*f^3 - ((a^3*b^6 - 26*a^4*b^4*c + 160*a^5*b^2*c^2 - 288*a^6*c^3)*d + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*e)*f^2 - 2*((4*a^2*b^6*c - 59*a^3*b^4*c^2 + 280*a^4*b^2*c^3 - 432*a^5*c^4)*d^2 + 5*(a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*d*e + (a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*e^2)*f - ((a^3*b^9*c - 20*a^4*b^7*c^2 + 144*a^5*b^5*c^3 - 448*a^6*b^3*c^4 + 512*a^7*b*c^5)*d + (a^4*b^8*c - 8*a^5*b^6*c^2 + 128*a^7*b^2*c^4 - 256*a^8*c^5)*e - 4*(a^5*b^7*c - 12*a^6*b^5*c^2 + 48*a^7*b^3*c^3 - 64*a^8*b*c^4)*f)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f + (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))) - sqrt(1/2)*((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2)*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f + (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))*log(((5*b^4*c^3 - 81*a*b^2*c^4 + 324*a^2*c^5)*d^4 - (3*b^5*c^2 - 65*a*b^3*c^3 + 324*a^2*b*c^4)*d^3*e - 3*(3*a*b^4*c^2 - 28*a^2*b^2*c^3)*d^2*e^2 - (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*d*e^3 - (3*a^3*b^2*c^2 + 4*a^4*c^3)*e^4 + (3*a^5*b^2 + 4*a^6*c)*f^4 - ((a^3*b^4 - 24*a^4*b^2*c - 48*a^5*c^2)*d + (a^4*b^3 + 12*a^5*b*c)*e)*f^3 - 9*((a^2*b^4*c - 6*a^3*b^2*c^2 - 24*a^4*c^3)*d^2 + (a^3*b^3*c + 12*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 15*a*b^4*c^2 + 432*a^3*c^4)*d^3 + 3*(a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c + 12*a^3*b^2*c^2)*d*e^2 + (a^3*b^3*c + 12*a^4*b*c^2)*e^3)*f)*x - 1/2*sqrt(1/2)*((b^8*c - 23*a*b^6*c^2 + 190*a^2*b^4*c^3 - 672*a^3*b^2*c^4 + 864*a^4*c^5)*d^3 + 3*(a*b^7*c - 15*a^2*b^5*c^2 + 72*a^3*b^3*c^3 - 112*a^4*b*c^4)*d^2*e + 3*(a^2*b^6*c - 10*a^3*b^4*c^2 + 32*a^4*b^2*c^3 - 32*a^5*c^4)*d*e^2 + (a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*e^3 + 2*(a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*f^3 - ((a^3*b^6 - 26*a^4*b^4*c + 160*a^5*b^2*c^2 - 288*a^6*c^3)*d + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*e)*f^2 - 2*((4*a^2*b^6*c - 59*a^3*b^4*c^2 + 280*a^4*b^2*c^3 - 432*a^5*c^4)*d^2 + 5*(a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*d*e + (a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*e^2)*f - ((a^3*b^9*c - 20*a^4*b^7*c^2 + 144*a^5*b^5*c^3 - 448*a^6*b^3*c^4 + 512*a^7*b*c^5)*d + (a^4*b^8*c - 8*a^5*b^6*c^2 + 128*a^7*b^2*c^4 - 256*a^8*c^5)*e - 4*(a^5*b^7*c - 12*a^6*b^5*c^2 + 48*a^7*b^3*c^3 - 64*a^8*b*c^4)*f)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f + (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))) + sqrt(1/2)*((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2)*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f - (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))*log(((5*b^4*c^3 - 81*a*b^2*c^4 + 324*a^2*c^5)*d^4 - (3*b^5*c^2 - 65*a*b^3*c^3 + 324*a^2*b*c^4)*d^3*e - 3*(3*a*b^4*c^2 - 28*a^2*b^2*c^3)*d^2*e^2 - (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*d*e^3 - (3*a^3*b^2*c^2 + 4*a^4*c^3)*e^4 + (3*a^5*b^2 + 4*a^6*c)*f^4 - ((a^3*b^4 - 24*a^4*b^2*c - 48*a^5*c^2)*d + (a^4*b^3 + 12*a^5*b*c)*e)*f^3 - 9*((a^2*b^4*c - 6*a^3*b^2*c^2 - 24*a^4*c^3)*d^2 + (a^3*b^3*c + 12*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 15*a*b^4*c^2 + 432*a^3*c^4)*d^3 + 3*(a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c + 12*a^3*b^2*c^2)*d*e^2 + (a^3*b^3*c + 12*a^4*b*c^2)*e^3)*f)*x + 1/2*sqrt(1/2)*((b^8*c - 23*a*b^6*c^2 + 190*a^2*b^4*c^3 - 672*a^3*b^2*c^4 + 864*a^4*c^5)*d^3 + 3*(a*b^7*c - 15*a^2*b^5*c^2 + 72*a^3*b^3*c^3 - 112*a^4*b*c^4)*d^2*e + 3*(a^2*b^6*c - 10*a^3*b^4*c^2 + 32*a^4*b^2*c^3 - 32*a^5*c^4)*d*e^2 + (a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*e^3 + 2*(a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*f^3 - ((a^3*b^6 - 26*a^4*b^4*c + 160*a^5*b^2*c^2 - 288*a^6*c^3)*d + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*e)*f^2 - 2*((4*a^2*b^6*c - 59*a^3*b^4*c^2 + 280*a^4*b^2*c^3 - 432*a^5*c^4)*d^2 + 5*(a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*d*e + (a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*e^2)*f + ((a^3*b^9*c - 20*a^4*b^7*c^2 + 144*a^5*b^5*c^3 - 448*a^6*b^3*c^4 + 512*a^7*b*c^5)*d + (a^4*b^8*c - 8*a^5*b^6*c^2 + 128*a^7*b^2*c^4 - 256*a^8*c^5)*e - 4*(a^5*b^7*c - 12*a^6*b^5*c^2 + 48*a^7*b^3*c^3 - 64*a^8*b*c^4)*f)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f - (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))) - sqrt(1/2)*((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2)*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f - (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))*log(((5*b^4*c^3 - 81*a*b^2*c^4 + 324*a^2*c^5)*d^4 - (3*b^5*c^2 - 65*a*b^3*c^3 + 324*a^2*b*c^4)*d^3*e - 3*(3*a*b^4*c^2 - 28*a^2*b^2*c^3)*d^2*e^2 - (9*a^2*b^3*c^2 - 20*a^3*b*c^3)*d*e^3 - (3*a^3*b^2*c^2 + 4*a^4*c^3)*e^4 + (3*a^5*b^2 + 4*a^6*c)*f^4 - ((a^3*b^4 - 24*a^4*b^2*c - 48*a^5*c^2)*d + (a^4*b^3 + 12*a^5*b*c)*e)*f^3 - 9*((a^2*b^4*c - 6*a^3*b^2*c^2 - 24*a^4*c^3)*d^2 + (a^3*b^3*c + 12*a^4*b*c^2)*d*e)*f^2 + ((b^6*c - 15*a*b^4*c^2 + 432*a^3*c^4)*d^3 + 3*(a*b^5*c + 3*a^2*b^3*c^2 - 108*a^3*b*c^3)*d^2*e + 3*(a^2*b^4*c + 12*a^3*b^2*c^2)*d*e^2 + (a^3*b^3*c + 12*a^4*b*c^2)*e^3)*f)*x - 1/2*sqrt(1/2)*((b^8*c - 23*a*b^6*c^2 + 190*a^2*b^4*c^3 - 672*a^3*b^2*c^4 + 864*a^4*c^5)*d^3 + 3*(a*b^7*c - 15*a^2*b^5*c^2 + 72*a^3*b^3*c^3 - 112*a^4*b*c^4)*d^2*e + 3*(a^2*b^6*c - 10*a^3*b^4*c^2 + 32*a^4*b^2*c^3 - 32*a^5*c^4)*d*e^2 + (a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*e^3 + 2*(a^5*b^4 - 8*a^6*b^2*c + 16*a^7*c^2)*f^3 - ((a^3*b^6 - 26*a^4*b^4*c + 160*a^5*b^2*c^2 - 288*a^6*c^3)*d + (a^4*b^5 - 8*a^5*b^3*c + 16*a^6*b*c^2)*e)*f^2 - 2*((4*a^2*b^6*c - 59*a^3*b^4*c^2 + 280*a^4*b^2*c^3 - 432*a^5*c^4)*d^2 + 5*(a^3*b^5*c - 8*a^4*b^3*c^2 + 16*a^5*b*c^3)*d*e + (a^4*b^4*c - 8*a^5*b^2*c^2 + 16*a^6*c^3)*e^2)*f + ((a^3*b^9*c - 20*a^4*b^7*c^2 + 144*a^5*b^5*c^3 - 448*a^6*b^3*c^4 + 512*a^7*b*c^5)*d + (a^4*b^8*c - 8*a^5*b^6*c^2 + 128*a^7*b^2*c^4 - 256*a^8*c^5)*e - 4*(a^5*b^7*c - 12*a^6*b^5*c^2 + 48*a^7*b^3*c^3 - 64*a^8*b*c^4)*f)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))*sqrt(-((b^5*c - 15*a*b^3*c^2 + 60*a^2*b*c^3)*d^2 + 2*(a*b^4*c - 6*a^2*b^2*c^2 - 24*a^3*c^3)*d*e + (a^2*b^3*c + 12*a^3*b*c^2)*e^2 + (a^3*b^3 + 12*a^4*b*c)*f^2 - 2*((3*a^2*b^3*c - 28*a^3*b*c^2)*d + 2*(3*a^3*b^2*c + 4*a^4*c^2)*e)*f - (a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4)*sqrt((4*a^3*b*c^2*d*e^3 + a^4*c^2*e^4 + 12*a^5*c*d*f^3 + a^6*f^4 + (b^4*c^2 - 18*a*b^2*c^3 + 81*a^2*c^4)*d^4 + 4*(a*b^3*c^2 - 9*a^2*b*c^3)*d^3*e + 6*(a^2*b^2*c^2 - 3*a^3*c^3)*d^2*e^2 - 2*(2*a^4*b*c*d*e + a^5*c*e^2 + (a^3*b^2*c - 27*a^4*c^2)*d^2)*f^2 - 12*(2*a^3*b*c^2*d^2*e + a^4*c^2*d*e^2 + (a^2*b^2*c^2 - 9*a^3*c^3)*d^3)*f)/(a^6*b^6*c^2 - 12*a^7*b^4*c^3 + 48*a^8*b^2*c^4 - 64*a^9*c^5)))/(a^3*b^6*c - 12*a^4*b^4*c^2 + 48*a^5*b^2*c^3 - 64*a^6*c^4))) - 2*(a*b*e - 2*a^2*f - (b^2 - 2*a*c)*d)*x)/((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2)","B",0
72,1,13111,0,40.367081," ","integrate((f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(a b c e - 2 \, a^{2} c f - {\left(3 \, b^{2} c - 10 \, a c^{2}\right)} d\right)} x^{4} - 2 \, {\left(a^{2} b f + {\left(3 \, b^{3} - 11 \, a b c\right)} d - {\left(a b^{2} - 2 \, a^{2} c\right)} e\right)} x^{2} + \sqrt{\frac{1}{2}} {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}} \log\left(-{\left({\left(189 \, b^{6} c^{3} - 1971 \, a b^{4} c^{4} + 5625 \, a^{2} b^{2} c^{5} - 2500 \, a^{3} c^{6}\right)} d^{4} - {\left(135 \, b^{7} c^{2} - 1323 \, a b^{5} c^{3} + 2727 \, a^{2} b^{3} c^{4} + 2500 \, a^{3} b c^{5}\right)} d^{3} e + 3 \, {\left(45 \, a b^{6} c^{2} - 558 \, a^{2} b^{4} c^{3} + 1672 \, a^{3} b^{2} c^{4}\right)} d^{2} e^{2} - {\left(45 \, a^{2} b^{5} c^{2} - 647 \, a^{3} b^{3} c^{3} + 2268 \, a^{4} b c^{4}\right)} d e^{3} + {\left(5 \, a^{3} b^{4} c^{2} - 81 \, a^{4} b^{2} c^{3} + 324 \, a^{5} c^{4}\right)} e^{4} - {\left(3 \, a^{6} b^{2} c + 4 \, a^{7} c^{2}\right)} f^{4} + {\left({\left(27 \, a^{4} b^{4} c + 80 \, a^{6} c^{3}\right)} d - {\left(9 \, a^{5} b^{3} c - 20 \, a^{6} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left({\left(27 \, a^{2} b^{6} c - 117 \, a^{3} b^{4} c^{2} - 150 \, a^{4} b^{2} c^{3} + 200 \, a^{5} c^{4}\right)} d^{2} - {\left(18 \, a^{3} b^{5} c - 123 \, a^{4} b^{3} c^{2} - 100 \, a^{5} b c^{3}\right)} d e + {\left(3 \, a^{4} b^{4} c - 28 \, a^{5} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(81 \, b^{8} c - 945 \, a b^{6} c^{2} + 3213 \, a^{2} b^{4} c^{3} - 3000 \, a^{3} b^{2} c^{4} + 2000 \, a^{4} c^{5}\right)} d^{3} - 3 \, {\left(27 \, a b^{7} c - 405 \, a^{2} b^{5} c^{2} + 1461 \, a^{3} b^{3} c^{3} - 500 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(9 \, a^{2} b^{6} c - 165 \, a^{3} b^{4} c^{2} + 692 \, a^{4} b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a^{3} b^{5} c - 65 \, a^{4} b^{3} c^{2} + 324 \, a^{5} b c^{3}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(27 \, b^{11} - 486 \, a b^{9} c + 3330 \, a^{2} b^{7} c^{2} - 10549 \, a^{3} b^{5} c^{3} + 14408 \, a^{4} b^{3} c^{4} - 5200 \, a^{5} b c^{5}\right)} d^{3} - 3 \, {\left(9 \, a b^{10} - 177 \, a^{2} b^{8} c + 1285 \, a^{3} b^{6} c^{2} - 4138 \, a^{4} b^{4} c^{3} + 5216 \, a^{5} b^{2} c^{4} - 800 \, a^{6} c^{5}\right)} d^{2} e + 3 \, {\left(3 \, a^{2} b^{9} - 64 \, a^{3} b^{7} c + 495 \, a^{4} b^{5} c^{2} - 1656 \, a^{5} b^{3} c^{3} + 2032 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 23 \, a^{4} b^{6} c + 190 \, a^{5} b^{4} c^{2} - 672 \, a^{6} b^{2} c^{3} + 864 \, a^{7} c^{4}\right)} e^{3} - {\left(a^{6} b^{5} - 8 \, a^{7} b^{3} c + 16 \, a^{8} b c^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{4} b^{7} - 25 \, a^{5} b^{5} c + 56 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(a^{5} b^{6} - 10 \, a^{6} b^{4} c + 32 \, a^{7} b^{2} c^{2} - 32 \, a^{8} c^{3}\right)} e\right)} f^{2} - 3 \, {\left({\left(9 \, a^{2} b^{9} - 105 \, a^{3} b^{7} c + 373 \, a^{4} b^{5} c^{2} - 248 \, a^{5} b^{3} c^{3} - 560 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 40 \, a^{4} b^{6} c + 166 \, a^{5} b^{4} c^{2} - 176 \, a^{6} b^{2} c^{3} - 160 \, a^{7} c^{4}\right)} d e + {\left(a^{4} b^{7} - 15 \, a^{5} b^{5} c + 72 \, a^{6} b^{3} c^{2} - 112 \, a^{7} b c^{3}\right)} e^{2}\right)} f - {\left({\left(3 \, a^{5} b^{10} - 55 \, a^{6} b^{8} c + 392 \, a^{7} b^{6} c^{2} - 1344 \, a^{8} b^{4} c^{3} + 2176 \, a^{9} b^{2} c^{4} - 1280 \, a^{10} c^{5}\right)} d - {\left(a^{6} b^{9} - 20 \, a^{7} b^{7} c + 144 \, a^{8} b^{5} c^{2} - 448 \, a^{9} b^{3} c^{3} + 512 \, a^{10} b c^{4}\right)} e - {\left(a^{7} b^{8} - 8 \, a^{8} b^{6} c + 128 \, a^{10} b^{2} c^{3} - 256 \, a^{11} c^{4}\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}} \log\left(-{\left({\left(189 \, b^{6} c^{3} - 1971 \, a b^{4} c^{4} + 5625 \, a^{2} b^{2} c^{5} - 2500 \, a^{3} c^{6}\right)} d^{4} - {\left(135 \, b^{7} c^{2} - 1323 \, a b^{5} c^{3} + 2727 \, a^{2} b^{3} c^{4} + 2500 \, a^{3} b c^{5}\right)} d^{3} e + 3 \, {\left(45 \, a b^{6} c^{2} - 558 \, a^{2} b^{4} c^{3} + 1672 \, a^{3} b^{2} c^{4}\right)} d^{2} e^{2} - {\left(45 \, a^{2} b^{5} c^{2} - 647 \, a^{3} b^{3} c^{3} + 2268 \, a^{4} b c^{4}\right)} d e^{3} + {\left(5 \, a^{3} b^{4} c^{2} - 81 \, a^{4} b^{2} c^{3} + 324 \, a^{5} c^{4}\right)} e^{4} - {\left(3 \, a^{6} b^{2} c + 4 \, a^{7} c^{2}\right)} f^{4} + {\left({\left(27 \, a^{4} b^{4} c + 80 \, a^{6} c^{3}\right)} d - {\left(9 \, a^{5} b^{3} c - 20 \, a^{6} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left({\left(27 \, a^{2} b^{6} c - 117 \, a^{3} b^{4} c^{2} - 150 \, a^{4} b^{2} c^{3} + 200 \, a^{5} c^{4}\right)} d^{2} - {\left(18 \, a^{3} b^{5} c - 123 \, a^{4} b^{3} c^{2} - 100 \, a^{5} b c^{3}\right)} d e + {\left(3 \, a^{4} b^{4} c - 28 \, a^{5} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(81 \, b^{8} c - 945 \, a b^{6} c^{2} + 3213 \, a^{2} b^{4} c^{3} - 3000 \, a^{3} b^{2} c^{4} + 2000 \, a^{4} c^{5}\right)} d^{3} - 3 \, {\left(27 \, a b^{7} c - 405 \, a^{2} b^{5} c^{2} + 1461 \, a^{3} b^{3} c^{3} - 500 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(9 \, a^{2} b^{6} c - 165 \, a^{3} b^{4} c^{2} + 692 \, a^{4} b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a^{3} b^{5} c - 65 \, a^{4} b^{3} c^{2} + 324 \, a^{5} b c^{3}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(27 \, b^{11} - 486 \, a b^{9} c + 3330 \, a^{2} b^{7} c^{2} - 10549 \, a^{3} b^{5} c^{3} + 14408 \, a^{4} b^{3} c^{4} - 5200 \, a^{5} b c^{5}\right)} d^{3} - 3 \, {\left(9 \, a b^{10} - 177 \, a^{2} b^{8} c + 1285 \, a^{3} b^{6} c^{2} - 4138 \, a^{4} b^{4} c^{3} + 5216 \, a^{5} b^{2} c^{4} - 800 \, a^{6} c^{5}\right)} d^{2} e + 3 \, {\left(3 \, a^{2} b^{9} - 64 \, a^{3} b^{7} c + 495 \, a^{4} b^{5} c^{2} - 1656 \, a^{5} b^{3} c^{3} + 2032 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 23 \, a^{4} b^{6} c + 190 \, a^{5} b^{4} c^{2} - 672 \, a^{6} b^{2} c^{3} + 864 \, a^{7} c^{4}\right)} e^{3} - {\left(a^{6} b^{5} - 8 \, a^{7} b^{3} c + 16 \, a^{8} b c^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{4} b^{7} - 25 \, a^{5} b^{5} c + 56 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(a^{5} b^{6} - 10 \, a^{6} b^{4} c + 32 \, a^{7} b^{2} c^{2} - 32 \, a^{8} c^{3}\right)} e\right)} f^{2} - 3 \, {\left({\left(9 \, a^{2} b^{9} - 105 \, a^{3} b^{7} c + 373 \, a^{4} b^{5} c^{2} - 248 \, a^{5} b^{3} c^{3} - 560 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 40 \, a^{4} b^{6} c + 166 \, a^{5} b^{4} c^{2} - 176 \, a^{6} b^{2} c^{3} - 160 \, a^{7} c^{4}\right)} d e + {\left(a^{4} b^{7} - 15 \, a^{5} b^{5} c + 72 \, a^{6} b^{3} c^{2} - 112 \, a^{7} b c^{3}\right)} e^{2}\right)} f - {\left({\left(3 \, a^{5} b^{10} - 55 \, a^{6} b^{8} c + 392 \, a^{7} b^{6} c^{2} - 1344 \, a^{8} b^{4} c^{3} + 2176 \, a^{9} b^{2} c^{4} - 1280 \, a^{10} c^{5}\right)} d - {\left(a^{6} b^{9} - 20 \, a^{7} b^{7} c + 144 \, a^{8} b^{5} c^{2} - 448 \, a^{9} b^{3} c^{3} + 512 \, a^{10} b c^{4}\right)} e - {\left(a^{7} b^{8} - 8 \, a^{8} b^{6} c + 128 \, a^{10} b^{2} c^{3} - 256 \, a^{11} c^{4}\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f + {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}}\right) + \sqrt{\frac{1}{2}} {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}} \log\left(-{\left({\left(189 \, b^{6} c^{3} - 1971 \, a b^{4} c^{4} + 5625 \, a^{2} b^{2} c^{5} - 2500 \, a^{3} c^{6}\right)} d^{4} - {\left(135 \, b^{7} c^{2} - 1323 \, a b^{5} c^{3} + 2727 \, a^{2} b^{3} c^{4} + 2500 \, a^{3} b c^{5}\right)} d^{3} e + 3 \, {\left(45 \, a b^{6} c^{2} - 558 \, a^{2} b^{4} c^{3} + 1672 \, a^{3} b^{2} c^{4}\right)} d^{2} e^{2} - {\left(45 \, a^{2} b^{5} c^{2} - 647 \, a^{3} b^{3} c^{3} + 2268 \, a^{4} b c^{4}\right)} d e^{3} + {\left(5 \, a^{3} b^{4} c^{2} - 81 \, a^{4} b^{2} c^{3} + 324 \, a^{5} c^{4}\right)} e^{4} - {\left(3 \, a^{6} b^{2} c + 4 \, a^{7} c^{2}\right)} f^{4} + {\left({\left(27 \, a^{4} b^{4} c + 80 \, a^{6} c^{3}\right)} d - {\left(9 \, a^{5} b^{3} c - 20 \, a^{6} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left({\left(27 \, a^{2} b^{6} c - 117 \, a^{3} b^{4} c^{2} - 150 \, a^{4} b^{2} c^{3} + 200 \, a^{5} c^{4}\right)} d^{2} - {\left(18 \, a^{3} b^{5} c - 123 \, a^{4} b^{3} c^{2} - 100 \, a^{5} b c^{3}\right)} d e + {\left(3 \, a^{4} b^{4} c - 28 \, a^{5} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(81 \, b^{8} c - 945 \, a b^{6} c^{2} + 3213 \, a^{2} b^{4} c^{3} - 3000 \, a^{3} b^{2} c^{4} + 2000 \, a^{4} c^{5}\right)} d^{3} - 3 \, {\left(27 \, a b^{7} c - 405 \, a^{2} b^{5} c^{2} + 1461 \, a^{3} b^{3} c^{3} - 500 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(9 \, a^{2} b^{6} c - 165 \, a^{3} b^{4} c^{2} + 692 \, a^{4} b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a^{3} b^{5} c - 65 \, a^{4} b^{3} c^{2} + 324 \, a^{5} b c^{3}\right)} e^{3}\right)} f\right)} x + \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(27 \, b^{11} - 486 \, a b^{9} c + 3330 \, a^{2} b^{7} c^{2} - 10549 \, a^{3} b^{5} c^{3} + 14408 \, a^{4} b^{3} c^{4} - 5200 \, a^{5} b c^{5}\right)} d^{3} - 3 \, {\left(9 \, a b^{10} - 177 \, a^{2} b^{8} c + 1285 \, a^{3} b^{6} c^{2} - 4138 \, a^{4} b^{4} c^{3} + 5216 \, a^{5} b^{2} c^{4} - 800 \, a^{6} c^{5}\right)} d^{2} e + 3 \, {\left(3 \, a^{2} b^{9} - 64 \, a^{3} b^{7} c + 495 \, a^{4} b^{5} c^{2} - 1656 \, a^{5} b^{3} c^{3} + 2032 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 23 \, a^{4} b^{6} c + 190 \, a^{5} b^{4} c^{2} - 672 \, a^{6} b^{2} c^{3} + 864 \, a^{7} c^{4}\right)} e^{3} - {\left(a^{6} b^{5} - 8 \, a^{7} b^{3} c + 16 \, a^{8} b c^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{4} b^{7} - 25 \, a^{5} b^{5} c + 56 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(a^{5} b^{6} - 10 \, a^{6} b^{4} c + 32 \, a^{7} b^{2} c^{2} - 32 \, a^{8} c^{3}\right)} e\right)} f^{2} - 3 \, {\left({\left(9 \, a^{2} b^{9} - 105 \, a^{3} b^{7} c + 373 \, a^{4} b^{5} c^{2} - 248 \, a^{5} b^{3} c^{3} - 560 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 40 \, a^{4} b^{6} c + 166 \, a^{5} b^{4} c^{2} - 176 \, a^{6} b^{2} c^{3} - 160 \, a^{7} c^{4}\right)} d e + {\left(a^{4} b^{7} - 15 \, a^{5} b^{5} c + 72 \, a^{6} b^{3} c^{2} - 112 \, a^{7} b c^{3}\right)} e^{2}\right)} f + {\left({\left(3 \, a^{5} b^{10} - 55 \, a^{6} b^{8} c + 392 \, a^{7} b^{6} c^{2} - 1344 \, a^{8} b^{4} c^{3} + 2176 \, a^{9} b^{2} c^{4} - 1280 \, a^{10} c^{5}\right)} d - {\left(a^{6} b^{9} - 20 \, a^{7} b^{7} c + 144 \, a^{8} b^{5} c^{2} - 448 \, a^{9} b^{3} c^{3} + 512 \, a^{10} b c^{4}\right)} e - {\left(a^{7} b^{8} - 8 \, a^{8} b^{6} c + 128 \, a^{10} b^{2} c^{3} - 256 \, a^{11} c^{4}\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}}\right) - \sqrt{\frac{1}{2}} {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}} \log\left(-{\left({\left(189 \, b^{6} c^{3} - 1971 \, a b^{4} c^{4} + 5625 \, a^{2} b^{2} c^{5} - 2500 \, a^{3} c^{6}\right)} d^{4} - {\left(135 \, b^{7} c^{2} - 1323 \, a b^{5} c^{3} + 2727 \, a^{2} b^{3} c^{4} + 2500 \, a^{3} b c^{5}\right)} d^{3} e + 3 \, {\left(45 \, a b^{6} c^{2} - 558 \, a^{2} b^{4} c^{3} + 1672 \, a^{3} b^{2} c^{4}\right)} d^{2} e^{2} - {\left(45 \, a^{2} b^{5} c^{2} - 647 \, a^{3} b^{3} c^{3} + 2268 \, a^{4} b c^{4}\right)} d e^{3} + {\left(5 \, a^{3} b^{4} c^{2} - 81 \, a^{4} b^{2} c^{3} + 324 \, a^{5} c^{4}\right)} e^{4} - {\left(3 \, a^{6} b^{2} c + 4 \, a^{7} c^{2}\right)} f^{4} + {\left({\left(27 \, a^{4} b^{4} c + 80 \, a^{6} c^{3}\right)} d - {\left(9 \, a^{5} b^{3} c - 20 \, a^{6} b c^{2}\right)} e\right)} f^{3} - 3 \, {\left({\left(27 \, a^{2} b^{6} c - 117 \, a^{3} b^{4} c^{2} - 150 \, a^{4} b^{2} c^{3} + 200 \, a^{5} c^{4}\right)} d^{2} - {\left(18 \, a^{3} b^{5} c - 123 \, a^{4} b^{3} c^{2} - 100 \, a^{5} b c^{3}\right)} d e + {\left(3 \, a^{4} b^{4} c - 28 \, a^{5} b^{2} c^{2}\right)} e^{2}\right)} f^{2} + {\left({\left(81 \, b^{8} c - 945 \, a b^{6} c^{2} + 3213 \, a^{2} b^{4} c^{3} - 3000 \, a^{3} b^{2} c^{4} + 2000 \, a^{4} c^{5}\right)} d^{3} - 3 \, {\left(27 \, a b^{7} c - 405 \, a^{2} b^{5} c^{2} + 1461 \, a^{3} b^{3} c^{3} - 500 \, a^{4} b c^{4}\right)} d^{2} e + 3 \, {\left(9 \, a^{2} b^{6} c - 165 \, a^{3} b^{4} c^{2} + 692 \, a^{4} b^{2} c^{3}\right)} d e^{2} - {\left(3 \, a^{3} b^{5} c - 65 \, a^{4} b^{3} c^{2} + 324 \, a^{5} b c^{3}\right)} e^{3}\right)} f\right)} x - \frac{1}{2} \, \sqrt{\frac{1}{2}} {\left({\left(27 \, b^{11} - 486 \, a b^{9} c + 3330 \, a^{2} b^{7} c^{2} - 10549 \, a^{3} b^{5} c^{3} + 14408 \, a^{4} b^{3} c^{4} - 5200 \, a^{5} b c^{5}\right)} d^{3} - 3 \, {\left(9 \, a b^{10} - 177 \, a^{2} b^{8} c + 1285 \, a^{3} b^{6} c^{2} - 4138 \, a^{4} b^{4} c^{3} + 5216 \, a^{5} b^{2} c^{4} - 800 \, a^{6} c^{5}\right)} d^{2} e + 3 \, {\left(3 \, a^{2} b^{9} - 64 \, a^{3} b^{7} c + 495 \, a^{4} b^{5} c^{2} - 1656 \, a^{5} b^{3} c^{3} + 2032 \, a^{6} b c^{4}\right)} d e^{2} - {\left(a^{3} b^{8} - 23 \, a^{4} b^{6} c + 190 \, a^{5} b^{4} c^{2} - 672 \, a^{6} b^{2} c^{3} + 864 \, a^{7} c^{4}\right)} e^{3} - {\left(a^{6} b^{5} - 8 \, a^{7} b^{3} c + 16 \, a^{8} b c^{2}\right)} f^{3} + 3 \, {\left({\left(3 \, a^{4} b^{7} - 25 \, a^{5} b^{5} c + 56 \, a^{6} b^{3} c^{2} - 16 \, a^{7} b c^{3}\right)} d - {\left(a^{5} b^{6} - 10 \, a^{6} b^{4} c + 32 \, a^{7} b^{2} c^{2} - 32 \, a^{8} c^{3}\right)} e\right)} f^{2} - 3 \, {\left({\left(9 \, a^{2} b^{9} - 105 \, a^{3} b^{7} c + 373 \, a^{4} b^{5} c^{2} - 248 \, a^{5} b^{3} c^{3} - 560 \, a^{6} b c^{4}\right)} d^{2} - 2 \, {\left(3 \, a^{3} b^{8} - 40 \, a^{4} b^{6} c + 166 \, a^{5} b^{4} c^{2} - 176 \, a^{6} b^{2} c^{3} - 160 \, a^{7} c^{4}\right)} d e + {\left(a^{4} b^{7} - 15 \, a^{5} b^{5} c + 72 \, a^{6} b^{3} c^{2} - 112 \, a^{7} b c^{3}\right)} e^{2}\right)} f + {\left({\left(3 \, a^{5} b^{10} - 55 \, a^{6} b^{8} c + 392 \, a^{7} b^{6} c^{2} - 1344 \, a^{8} b^{4} c^{3} + 2176 \, a^{9} b^{2} c^{4} - 1280 \, a^{10} c^{5}\right)} d - {\left(a^{6} b^{9} - 20 \, a^{7} b^{7} c + 144 \, a^{8} b^{5} c^{2} - 448 \, a^{9} b^{3} c^{3} + 512 \, a^{10} b c^{4}\right)} e - {\left(a^{7} b^{8} - 8 \, a^{8} b^{6} c + 128 \, a^{10} b^{2} c^{3} - 256 \, a^{11} c^{4}\right)} f\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}\right)} \sqrt{-\frac{{\left(9 \, b^{7} - 105 \, a b^{5} c + 385 \, a^{2} b^{3} c^{2} - 420 \, a^{3} b c^{3}\right)} d^{2} - 2 \, {\left(3 \, a b^{6} - 40 \, a^{2} b^{4} c + 150 \, a^{3} b^{2} c^{2} - 120 \, a^{4} c^{3}\right)} d e + {\left(a^{2} b^{5} - 15 \, a^{3} b^{3} c + 60 \, a^{4} b c^{2}\right)} e^{2} + {\left(a^{4} b^{3} + 12 \, a^{5} b c\right)} f^{2} - 2 \, {\left({\left(3 \, a^{2} b^{5} - 13 \, a^{3} b^{3} c - 12 \, a^{4} b c^{2}\right)} d - {\left(a^{3} b^{4} - 6 \, a^{4} b^{2} c - 24 \, a^{5} c^{2}\right)} e\right)} f - {\left(a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}\right)} \sqrt{\frac{a^{8} f^{4} + {\left(81 \, b^{8} - 918 \, a b^{6} c + 3051 \, a^{2} b^{4} c^{2} - 2550 \, a^{3} b^{2} c^{3} + 625 \, a^{4} c^{4}\right)} d^{4} - 4 \, {\left(27 \, a b^{7} - 351 \, a^{2} b^{5} c + 1197 \, a^{3} b^{3} c^{2} - 550 \, a^{4} b c^{3}\right)} d^{3} e + 6 \, {\left(9 \, a^{2} b^{6} - 132 \, a^{3} b^{4} c + 484 \, a^{4} b^{2} c^{2} - 75 \, a^{5} c^{3}\right)} d^{2} e^{2} - 4 \, {\left(3 \, a^{3} b^{5} - 49 \, a^{4} b^{3} c + 198 \, a^{5} b c^{2}\right)} d e^{3} + {\left(a^{4} b^{4} - 18 \, a^{5} b^{2} c + 81 \, a^{6} c^{2}\right)} e^{4} + 4 \, {\left(a^{7} b e - {\left(3 \, a^{6} b^{2} + 5 \, a^{7} c\right)} d\right)} f^{3} + 6 \, {\left({\left(9 \, a^{4} b^{4} + 3 \, a^{5} b^{2} c + 25 \, a^{6} c^{2}\right)} d^{2} - 2 \, {\left(3 \, a^{5} b^{3} - 4 \, a^{6} b c\right)} d e + {\left(a^{6} b^{2} - 3 \, a^{7} c\right)} e^{2}\right)} f^{2} - 4 \, {\left({\left(27 \, a^{2} b^{6} - 108 \, a^{3} b^{4} c - 180 \, a^{4} b^{2} c^{2} + 125 \, a^{5} c^{3}\right)} d^{3} - 3 \, {\left(9 \, a^{3} b^{5} - 51 \, a^{4} b^{3} c - 65 \, a^{5} b c^{2}\right)} d^{2} e + 3 \, {\left(3 \, a^{4} b^{4} - 22 \, a^{5} b^{2} c - 15 \, a^{6} c^{2}\right)} d e^{2} - {\left(a^{5} b^{3} - 9 \, a^{6} b c\right)} e^{3}\right)} f}{a^{10} b^{6} - 12 \, a^{11} b^{4} c + 48 \, a^{12} b^{2} c^{2} - 64 \, a^{13} c^{3}}}}{a^{5} b^{6} - 12 \, a^{6} b^{4} c + 48 \, a^{7} b^{2} c^{2} - 64 \, a^{8} c^{3}}}\right) - 4 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d}{4 \, {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)}}"," ",0,"1/4*(2*(a*b*c*e - 2*a^2*c*f - (3*b^2*c - 10*a*c^2)*d)*x^4 - 2*(a^2*b*f + (3*b^3 - 11*a*b*c)*d - (a*b^2 - 2*a^2*c)*e)*x^2 + sqrt(1/2)*((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x)*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f + (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))*log(-((189*b^6*c^3 - 1971*a*b^4*c^4 + 5625*a^2*b^2*c^5 - 2500*a^3*c^6)*d^4 - (135*b^7*c^2 - 1323*a*b^5*c^3 + 2727*a^2*b^3*c^4 + 2500*a^3*b*c^5)*d^3*e + 3*(45*a*b^6*c^2 - 558*a^2*b^4*c^3 + 1672*a^3*b^2*c^4)*d^2*e^2 - (45*a^2*b^5*c^2 - 647*a^3*b^3*c^3 + 2268*a^4*b*c^4)*d*e^3 + (5*a^3*b^4*c^2 - 81*a^4*b^2*c^3 + 324*a^5*c^4)*e^4 - (3*a^6*b^2*c + 4*a^7*c^2)*f^4 + ((27*a^4*b^4*c + 80*a^6*c^3)*d - (9*a^5*b^3*c - 20*a^6*b*c^2)*e)*f^3 - 3*((27*a^2*b^6*c - 117*a^3*b^4*c^2 - 150*a^4*b^2*c^3 + 200*a^5*c^4)*d^2 - (18*a^3*b^5*c - 123*a^4*b^3*c^2 - 100*a^5*b*c^3)*d*e + (3*a^4*b^4*c - 28*a^5*b^2*c^2)*e^2)*f^2 + ((81*b^8*c - 945*a*b^6*c^2 + 3213*a^2*b^4*c^3 - 3000*a^3*b^2*c^4 + 2000*a^4*c^5)*d^3 - 3*(27*a*b^7*c - 405*a^2*b^5*c^2 + 1461*a^3*b^3*c^3 - 500*a^4*b*c^4)*d^2*e + 3*(9*a^2*b^6*c - 165*a^3*b^4*c^2 + 692*a^4*b^2*c^3)*d*e^2 - (3*a^3*b^5*c - 65*a^4*b^3*c^2 + 324*a^5*b*c^3)*e^3)*f)*x + 1/2*sqrt(1/2)*((27*b^11 - 486*a*b^9*c + 3330*a^2*b^7*c^2 - 10549*a^3*b^5*c^3 + 14408*a^4*b^3*c^4 - 5200*a^5*b*c^5)*d^3 - 3*(9*a*b^10 - 177*a^2*b^8*c + 1285*a^3*b^6*c^2 - 4138*a^4*b^4*c^3 + 5216*a^5*b^2*c^4 - 800*a^6*c^5)*d^2*e + 3*(3*a^2*b^9 - 64*a^3*b^7*c + 495*a^4*b^5*c^2 - 1656*a^5*b^3*c^3 + 2032*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 23*a^4*b^6*c + 190*a^5*b^4*c^2 - 672*a^6*b^2*c^3 + 864*a^7*c^4)*e^3 - (a^6*b^5 - 8*a^7*b^3*c + 16*a^8*b*c^2)*f^3 + 3*((3*a^4*b^7 - 25*a^5*b^5*c + 56*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (a^5*b^6 - 10*a^6*b^4*c + 32*a^7*b^2*c^2 - 32*a^8*c^3)*e)*f^2 - 3*((9*a^2*b^9 - 105*a^3*b^7*c + 373*a^4*b^5*c^2 - 248*a^5*b^3*c^3 - 560*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 40*a^4*b^6*c + 166*a^5*b^4*c^2 - 176*a^6*b^2*c^3 - 160*a^7*c^4)*d*e + (a^4*b^7 - 15*a^5*b^5*c + 72*a^6*b^3*c^2 - 112*a^7*b*c^3)*e^2)*f - ((3*a^5*b^10 - 55*a^6*b^8*c + 392*a^7*b^6*c^2 - 1344*a^8*b^4*c^3 + 2176*a^9*b^2*c^4 - 1280*a^10*c^5)*d - (a^6*b^9 - 20*a^7*b^7*c + 144*a^8*b^5*c^2 - 448*a^9*b^3*c^3 + 512*a^10*b*c^4)*e - (a^7*b^8 - 8*a^8*b^6*c + 128*a^10*b^2*c^3 - 256*a^11*c^4)*f)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f + (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))) - sqrt(1/2)*((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x)*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f + (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))*log(-((189*b^6*c^3 - 1971*a*b^4*c^4 + 5625*a^2*b^2*c^5 - 2500*a^3*c^6)*d^4 - (135*b^7*c^2 - 1323*a*b^5*c^3 + 2727*a^2*b^3*c^4 + 2500*a^3*b*c^5)*d^3*e + 3*(45*a*b^6*c^2 - 558*a^2*b^4*c^3 + 1672*a^3*b^2*c^4)*d^2*e^2 - (45*a^2*b^5*c^2 - 647*a^3*b^3*c^3 + 2268*a^4*b*c^4)*d*e^3 + (5*a^3*b^4*c^2 - 81*a^4*b^2*c^3 + 324*a^5*c^4)*e^4 - (3*a^6*b^2*c + 4*a^7*c^2)*f^4 + ((27*a^4*b^4*c + 80*a^6*c^3)*d - (9*a^5*b^3*c - 20*a^6*b*c^2)*e)*f^3 - 3*((27*a^2*b^6*c - 117*a^3*b^4*c^2 - 150*a^4*b^2*c^3 + 200*a^5*c^4)*d^2 - (18*a^3*b^5*c - 123*a^4*b^3*c^2 - 100*a^5*b*c^3)*d*e + (3*a^4*b^4*c - 28*a^5*b^2*c^2)*e^2)*f^2 + ((81*b^8*c - 945*a*b^6*c^2 + 3213*a^2*b^4*c^3 - 3000*a^3*b^2*c^4 + 2000*a^4*c^5)*d^3 - 3*(27*a*b^7*c - 405*a^2*b^5*c^2 + 1461*a^3*b^3*c^3 - 500*a^4*b*c^4)*d^2*e + 3*(9*a^2*b^6*c - 165*a^3*b^4*c^2 + 692*a^4*b^2*c^3)*d*e^2 - (3*a^3*b^5*c - 65*a^4*b^3*c^2 + 324*a^5*b*c^3)*e^3)*f)*x - 1/2*sqrt(1/2)*((27*b^11 - 486*a*b^9*c + 3330*a^2*b^7*c^2 - 10549*a^3*b^5*c^3 + 14408*a^4*b^3*c^4 - 5200*a^5*b*c^5)*d^3 - 3*(9*a*b^10 - 177*a^2*b^8*c + 1285*a^3*b^6*c^2 - 4138*a^4*b^4*c^3 + 5216*a^5*b^2*c^4 - 800*a^6*c^5)*d^2*e + 3*(3*a^2*b^9 - 64*a^3*b^7*c + 495*a^4*b^5*c^2 - 1656*a^5*b^3*c^3 + 2032*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 23*a^4*b^6*c + 190*a^5*b^4*c^2 - 672*a^6*b^2*c^3 + 864*a^7*c^4)*e^3 - (a^6*b^5 - 8*a^7*b^3*c + 16*a^8*b*c^2)*f^3 + 3*((3*a^4*b^7 - 25*a^5*b^5*c + 56*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (a^5*b^6 - 10*a^6*b^4*c + 32*a^7*b^2*c^2 - 32*a^8*c^3)*e)*f^2 - 3*((9*a^2*b^9 - 105*a^3*b^7*c + 373*a^4*b^5*c^2 - 248*a^5*b^3*c^3 - 560*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 40*a^4*b^6*c + 166*a^5*b^4*c^2 - 176*a^6*b^2*c^3 - 160*a^7*c^4)*d*e + (a^4*b^7 - 15*a^5*b^5*c + 72*a^6*b^3*c^2 - 112*a^7*b*c^3)*e^2)*f - ((3*a^5*b^10 - 55*a^6*b^8*c + 392*a^7*b^6*c^2 - 1344*a^8*b^4*c^3 + 2176*a^9*b^2*c^4 - 1280*a^10*c^5)*d - (a^6*b^9 - 20*a^7*b^7*c + 144*a^8*b^5*c^2 - 448*a^9*b^3*c^3 + 512*a^10*b*c^4)*e - (a^7*b^8 - 8*a^8*b^6*c + 128*a^10*b^2*c^3 - 256*a^11*c^4)*f)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f + (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))) + sqrt(1/2)*((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x)*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f - (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))*log(-((189*b^6*c^3 - 1971*a*b^4*c^4 + 5625*a^2*b^2*c^5 - 2500*a^3*c^6)*d^4 - (135*b^7*c^2 - 1323*a*b^5*c^3 + 2727*a^2*b^3*c^4 + 2500*a^3*b*c^5)*d^3*e + 3*(45*a*b^6*c^2 - 558*a^2*b^4*c^3 + 1672*a^3*b^2*c^4)*d^2*e^2 - (45*a^2*b^5*c^2 - 647*a^3*b^3*c^3 + 2268*a^4*b*c^4)*d*e^3 + (5*a^3*b^4*c^2 - 81*a^4*b^2*c^3 + 324*a^5*c^4)*e^4 - (3*a^6*b^2*c + 4*a^7*c^2)*f^4 + ((27*a^4*b^4*c + 80*a^6*c^3)*d - (9*a^5*b^3*c - 20*a^6*b*c^2)*e)*f^3 - 3*((27*a^2*b^6*c - 117*a^3*b^4*c^2 - 150*a^4*b^2*c^3 + 200*a^5*c^4)*d^2 - (18*a^3*b^5*c - 123*a^4*b^3*c^2 - 100*a^5*b*c^3)*d*e + (3*a^4*b^4*c - 28*a^5*b^2*c^2)*e^2)*f^2 + ((81*b^8*c - 945*a*b^6*c^2 + 3213*a^2*b^4*c^3 - 3000*a^3*b^2*c^4 + 2000*a^4*c^5)*d^3 - 3*(27*a*b^7*c - 405*a^2*b^5*c^2 + 1461*a^3*b^3*c^3 - 500*a^4*b*c^4)*d^2*e + 3*(9*a^2*b^6*c - 165*a^3*b^4*c^2 + 692*a^4*b^2*c^3)*d*e^2 - (3*a^3*b^5*c - 65*a^4*b^3*c^2 + 324*a^5*b*c^3)*e^3)*f)*x + 1/2*sqrt(1/2)*((27*b^11 - 486*a*b^9*c + 3330*a^2*b^7*c^2 - 10549*a^3*b^5*c^3 + 14408*a^4*b^3*c^4 - 5200*a^5*b*c^5)*d^3 - 3*(9*a*b^10 - 177*a^2*b^8*c + 1285*a^3*b^6*c^2 - 4138*a^4*b^4*c^3 + 5216*a^5*b^2*c^4 - 800*a^6*c^5)*d^2*e + 3*(3*a^2*b^9 - 64*a^3*b^7*c + 495*a^4*b^5*c^2 - 1656*a^5*b^3*c^3 + 2032*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 23*a^4*b^6*c + 190*a^5*b^4*c^2 - 672*a^6*b^2*c^3 + 864*a^7*c^4)*e^3 - (a^6*b^5 - 8*a^7*b^3*c + 16*a^8*b*c^2)*f^3 + 3*((3*a^4*b^7 - 25*a^5*b^5*c + 56*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (a^5*b^6 - 10*a^6*b^4*c + 32*a^7*b^2*c^2 - 32*a^8*c^3)*e)*f^2 - 3*((9*a^2*b^9 - 105*a^3*b^7*c + 373*a^4*b^5*c^2 - 248*a^5*b^3*c^3 - 560*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 40*a^4*b^6*c + 166*a^5*b^4*c^2 - 176*a^6*b^2*c^3 - 160*a^7*c^4)*d*e + (a^4*b^7 - 15*a^5*b^5*c + 72*a^6*b^3*c^2 - 112*a^7*b*c^3)*e^2)*f + ((3*a^5*b^10 - 55*a^6*b^8*c + 392*a^7*b^6*c^2 - 1344*a^8*b^4*c^3 + 2176*a^9*b^2*c^4 - 1280*a^10*c^5)*d - (a^6*b^9 - 20*a^7*b^7*c + 144*a^8*b^5*c^2 - 448*a^9*b^3*c^3 + 512*a^10*b*c^4)*e - (a^7*b^8 - 8*a^8*b^6*c + 128*a^10*b^2*c^3 - 256*a^11*c^4)*f)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f - (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))) - sqrt(1/2)*((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x)*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f - (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))*log(-((189*b^6*c^3 - 1971*a*b^4*c^4 + 5625*a^2*b^2*c^5 - 2500*a^3*c^6)*d^4 - (135*b^7*c^2 - 1323*a*b^5*c^3 + 2727*a^2*b^3*c^4 + 2500*a^3*b*c^5)*d^3*e + 3*(45*a*b^6*c^2 - 558*a^2*b^4*c^3 + 1672*a^3*b^2*c^4)*d^2*e^2 - (45*a^2*b^5*c^2 - 647*a^3*b^3*c^3 + 2268*a^4*b*c^4)*d*e^3 + (5*a^3*b^4*c^2 - 81*a^4*b^2*c^3 + 324*a^5*c^4)*e^4 - (3*a^6*b^2*c + 4*a^7*c^2)*f^4 + ((27*a^4*b^4*c + 80*a^6*c^3)*d - (9*a^5*b^3*c - 20*a^6*b*c^2)*e)*f^3 - 3*((27*a^2*b^6*c - 117*a^3*b^4*c^2 - 150*a^4*b^2*c^3 + 200*a^5*c^4)*d^2 - (18*a^3*b^5*c - 123*a^4*b^3*c^2 - 100*a^5*b*c^3)*d*e + (3*a^4*b^4*c - 28*a^5*b^2*c^2)*e^2)*f^2 + ((81*b^8*c - 945*a*b^6*c^2 + 3213*a^2*b^4*c^3 - 3000*a^3*b^2*c^4 + 2000*a^4*c^5)*d^3 - 3*(27*a*b^7*c - 405*a^2*b^5*c^2 + 1461*a^3*b^3*c^3 - 500*a^4*b*c^4)*d^2*e + 3*(9*a^2*b^6*c - 165*a^3*b^4*c^2 + 692*a^4*b^2*c^3)*d*e^2 - (3*a^3*b^5*c - 65*a^4*b^3*c^2 + 324*a^5*b*c^3)*e^3)*f)*x - 1/2*sqrt(1/2)*((27*b^11 - 486*a*b^9*c + 3330*a^2*b^7*c^2 - 10549*a^3*b^5*c^3 + 14408*a^4*b^3*c^4 - 5200*a^5*b*c^5)*d^3 - 3*(9*a*b^10 - 177*a^2*b^8*c + 1285*a^3*b^6*c^2 - 4138*a^4*b^4*c^3 + 5216*a^5*b^2*c^4 - 800*a^6*c^5)*d^2*e + 3*(3*a^2*b^9 - 64*a^3*b^7*c + 495*a^4*b^5*c^2 - 1656*a^5*b^3*c^3 + 2032*a^6*b*c^4)*d*e^2 - (a^3*b^8 - 23*a^4*b^6*c + 190*a^5*b^4*c^2 - 672*a^6*b^2*c^3 + 864*a^7*c^4)*e^3 - (a^6*b^5 - 8*a^7*b^3*c + 16*a^8*b*c^2)*f^3 + 3*((3*a^4*b^7 - 25*a^5*b^5*c + 56*a^6*b^3*c^2 - 16*a^7*b*c^3)*d - (a^5*b^6 - 10*a^6*b^4*c + 32*a^7*b^2*c^2 - 32*a^8*c^3)*e)*f^2 - 3*((9*a^2*b^9 - 105*a^3*b^7*c + 373*a^4*b^5*c^2 - 248*a^5*b^3*c^3 - 560*a^6*b*c^4)*d^2 - 2*(3*a^3*b^8 - 40*a^4*b^6*c + 166*a^5*b^4*c^2 - 176*a^6*b^2*c^3 - 160*a^7*c^4)*d*e + (a^4*b^7 - 15*a^5*b^5*c + 72*a^6*b^3*c^2 - 112*a^7*b*c^3)*e^2)*f + ((3*a^5*b^10 - 55*a^6*b^8*c + 392*a^7*b^6*c^2 - 1344*a^8*b^4*c^3 + 2176*a^9*b^2*c^4 - 1280*a^10*c^5)*d - (a^6*b^9 - 20*a^7*b^7*c + 144*a^8*b^5*c^2 - 448*a^9*b^3*c^3 + 512*a^10*b*c^4)*e - (a^7*b^8 - 8*a^8*b^6*c + 128*a^10*b^2*c^3 - 256*a^11*c^4)*f)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))*sqrt(-((9*b^7 - 105*a*b^5*c + 385*a^2*b^3*c^2 - 420*a^3*b*c^3)*d^2 - 2*(3*a*b^6 - 40*a^2*b^4*c + 150*a^3*b^2*c^2 - 120*a^4*c^3)*d*e + (a^2*b^5 - 15*a^3*b^3*c + 60*a^4*b*c^2)*e^2 + (a^4*b^3 + 12*a^5*b*c)*f^2 - 2*((3*a^2*b^5 - 13*a^3*b^3*c - 12*a^4*b*c^2)*d - (a^3*b^4 - 6*a^4*b^2*c - 24*a^5*c^2)*e)*f - (a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3)*sqrt((a^8*f^4 + (81*b^8 - 918*a*b^6*c + 3051*a^2*b^4*c^2 - 2550*a^3*b^2*c^3 + 625*a^4*c^4)*d^4 - 4*(27*a*b^7 - 351*a^2*b^5*c + 1197*a^3*b^3*c^2 - 550*a^4*b*c^3)*d^3*e + 6*(9*a^2*b^6 - 132*a^3*b^4*c + 484*a^4*b^2*c^2 - 75*a^5*c^3)*d^2*e^2 - 4*(3*a^3*b^5 - 49*a^4*b^3*c + 198*a^5*b*c^2)*d*e^3 + (a^4*b^4 - 18*a^5*b^2*c + 81*a^6*c^2)*e^4 + 4*(a^7*b*e - (3*a^6*b^2 + 5*a^7*c)*d)*f^3 + 6*((9*a^4*b^4 + 3*a^5*b^2*c + 25*a^6*c^2)*d^2 - 2*(3*a^5*b^3 - 4*a^6*b*c)*d*e + (a^6*b^2 - 3*a^7*c)*e^2)*f^2 - 4*((27*a^2*b^6 - 108*a^3*b^4*c - 180*a^4*b^2*c^2 + 125*a^5*c^3)*d^3 - 3*(9*a^3*b^5 - 51*a^4*b^3*c - 65*a^5*b*c^2)*d^2*e + 3*(3*a^4*b^4 - 22*a^5*b^2*c - 15*a^6*c^2)*d*e^2 - (a^5*b^3 - 9*a^6*b*c)*e^3)*f)/(a^10*b^6 - 12*a^11*b^4*c + 48*a^12*b^2*c^2 - 64*a^13*c^3)))/(a^5*b^6 - 12*a^6*b^4*c + 48*a^7*b^2*c^2 - 64*a^8*c^3))) - 4*(a*b^2 - 4*a^2*c)*d)/((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x)","B",0
73,-1,0,0,0.000000," ","integrate((f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,1,82,0,1.416486," ","integrate(x^9*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{5 \, x^{12} - 21 \, x^{10} + 98 \, x^{8} - 656 \, x^{6} - 3124 \, x^{4} - 684 \, x^{2} + 3136 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) + 16 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) + 1656}{8 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/8*(5*x^12 - 21*x^10 + 98*x^8 - 656*x^6 - 3124*x^4 - 684*x^2 + 3136*(x^4 + 3*x^2 + 2)*log(x^2 + 2) + 16*(x^4 + 3*x^2 + 2)*log(x^2 + 1) + 1656)/(x^4 + 3*x^2 + 2)","A",0
75,1,77,0,1.640685," ","integrate(x^7*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{10 \, x^{10} - 51 \, x^{8} + 365 \, x^{6} + 1602 \, x^{4} - 66 \, x^{2} - 1728 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) - 30 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) - 1236}{12 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/12*(10*x^10 - 51*x^8 + 365*x^6 + 1602*x^4 - 66*x^2 - 1728*(x^4 + 3*x^2 + 2)*log(x^2 + 2) - 30*(x^4 + 3*x^2 + 2)*log(x^2 + 1) - 1236)/(x^4 + 3*x^2 + 2)","A",0
76,1,72,0,1.224847," ","integrate(x^5*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{5 \, x^{8} - 39 \, x^{6} - 152 \, x^{4} + 98 \, x^{2} + 184 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) + 12 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) + 204}{4 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/4*(5*x^8 - 39*x^6 - 152*x^4 + 98*x^2 + 184*(x^4 + 3*x^2 + 2)*log(x^2 + 2) + 12*(x^4 + 3*x^2 + 2)*log(x^2 + 1) + 204)/(x^4 + 3*x^2 + 2)","A",0
77,1,67,0,1.180531," ","integrate(x^3*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{5 \, x^{6} + 15 \, x^{4} - 41 \, x^{2} - 20 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) - 7 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) - 50}{2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/2*(5*x^6 + 15*x^4 - 41*x^2 - 20*(x^4 + 3*x^2 + 2)*log(x^2 + 2) - 7*(x^4 + 3*x^2 + 2)*log(x^2 + 1) - 50)/(x^4 + 3*x^2 + 2)","A",0
78,1,57,0,1.234871," ","integrate(x*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{25 \, x^{2} - 3 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) + 8 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) + 24}{2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/2*(25*x^2 - 3*(x^4 + 3*x^2 + 2)*log(x^2 + 2) + 8*(x^4 + 3*x^2 + 2)*log(x^2 + 1) + 24)/(x^4 + 3*x^2 + 2)","A",0
79,1,71,0,1.469957," ","integrate((5*x^6+3*x^4+x^2+4)/x/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","-\frac{12 \, x^{2} - 8 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 2\right) + 9 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x^{2} + 1\right) - 2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \log\left(x\right) + 11}{2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"-1/2*(12*x^2 - 8*(x^4 + 3*x^2 + 2)*log(x^2 + 2) + 9*(x^4 + 3*x^2 + 2)*log(x^2 + 1) - 2*(x^4 + 3*x^2 + 2)*log(x) + 11)/(x^4 + 3*x^2 + 2)","A",0
80,1,92,0,1.344908," ","integrate((5*x^6+3*x^4+x^2+4)/x^3/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{18 \, x^{4} + 6 \, x^{2} - 29 \, {\left(x^{6} + 3 \, x^{4} + 2 \, x^{2}\right)} \log\left(x^{2} + 2\right) + 40 \, {\left(x^{6} + 3 \, x^{4} + 2 \, x^{2}\right)} \log\left(x^{2} + 1\right) - 22 \, {\left(x^{6} + 3 \, x^{4} + 2 \, x^{2}\right)} \log\left(x\right) - 8}{8 \, {\left(x^{6} + 3 \, x^{4} + 2 \, x^{2}\right)}}"," ",0,"1/8*(18*x^4 + 6*x^2 - 29*(x^6 + 3*x^4 + 2*x^2)*log(x^2 + 2) + 40*(x^6 + 3*x^4 + 2*x^2)*log(x^2 + 1) - 22*(x^6 + 3*x^4 + 2*x^2)*log(x) - 8)/(x^6 + 3*x^4 + 2*x^2)","A",0
81,1,97,0,1.216184," ","integrate((5*x^6+3*x^4+x^2+4)/x^5/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{2 \, x^{6} + 26 \, x^{4} + 16 \, x^{2} + 21 \, {\left(x^{8} + 3 \, x^{6} + 2 \, x^{4}\right)} \log\left(x^{2} + 2\right) - 44 \, {\left(x^{8} + 3 \, x^{6} + 2 \, x^{4}\right)} \log\left(x^{2} + 1\right) + 46 \, {\left(x^{8} + 3 \, x^{6} + 2 \, x^{4}\right)} \log\left(x\right) - 4}{8 \, {\left(x^{8} + 3 \, x^{6} + 2 \, x^{4}\right)}}"," ",0,"1/8*(2*x^6 + 26*x^4 + 16*x^2 + 21*(x^8 + 3*x^6 + 2*x^4)*log(x^2 + 2) - 44*(x^8 + 3*x^6 + 2*x^4)*log(x^2 + 1) + 46*(x^8 + 3*x^6 + 2*x^4)*log(x) - 4)/(x^8 + 3*x^6 + 2*x^4)","A",0
82,1,79,0,1.339626," ","integrate(x^8*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{150 \, x^{11} - 684 \, x^{9} + 3758 \, x^{7} - 43218 \, x^{5} - 192605 \, x^{3} + 71400 \, \sqrt{2} {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 945 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(x\right) - 144690 \, x}{210 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/210*(150*x^11 - 684*x^9 + 3758*x^7 - 43218*x^5 - 192605*x^3 + 71400*sqrt(2)*(x^4 + 3*x^2 + 2)*arctan(1/2*sqrt(2)*x) + 945*(x^4 + 3*x^2 + 2)*arctan(x) - 144690*x)/(x^4 + 3*x^2 + 2)","A",0
83,1,74,0,1.308964," ","integrate(x^6*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{2 \, x^{9} - 12 \, x^{7} + 146 \, x^{5} + 655 \, x^{3} - 236 \, \sqrt{2} {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 11 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(x\right) + 494 \, x}{2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/2*(2*x^9 - 12*x^7 + 146*x^5 + 655*x^3 - 236*sqrt(2)*(x^4 + 3*x^2 + 2)*arctan(1/2*sqrt(2)*x) - 11*(x^4 + 3*x^2 + 2)*arctan(x) + 494*x)/(x^4 + 3*x^2 + 2)","A",0
84,1,69,0,1.102951," ","integrate(x^4*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{10 \, x^{7} - 132 \, x^{5} - 619 \, x^{3} + 198 \, \sqrt{2} {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 39 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(x\right) - 474 \, x}{6 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/6*(10*x^7 - 132*x^5 - 619*x^3 + 198*sqrt(2)*(x^4 + 3*x^2 + 2)*arctan(1/2*sqrt(2)*x) + 39*(x^4 + 3*x^2 + 2)*arctan(x) - 474*x)/(x^4 + 3*x^2 + 2)","A",0
85,1,64,0,1.311692," ","integrate(x^2*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{10 \, x^{5} + 55 \, x^{3} - 7 \, \sqrt{2} {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 15 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(x\right) + 44 \, x}{2 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"1/2*(10*x^5 + 55*x^3 - 7*sqrt(2)*(x^4 + 3*x^2 + 2)*arctan(1/2*sqrt(2)*x) - 15*(x^4 + 3*x^2 + 2)*arctan(x) + 44*x)/(x^4 + 3*x^2 + 2)","A",0
86,1,59,0,1.515341," ","integrate((5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","-\frac{24 \, x^{3} + 19 \, \sqrt{2} {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 34 \, {\left(x^{4} + 3 \, x^{2} + 2\right)} \arctan\left(x\right) + 22 \, x}{4 \, {\left(x^{4} + 3 \, x^{2} + 2\right)}}"," ",0,"-1/4*(24*x^3 + 19*sqrt(2)*(x^4 + 3*x^2 + 2)*arctan(1/2*sqrt(2)*x) - 34*(x^4 + 3*x^2 + 2)*arctan(x) + 22*x)/(x^4 + 3*x^2 + 2)","A",0
87,1,68,0,1.159554," ","integrate((5*x^6+3*x^4+x^2+4)/x^2/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{14 \, x^{4} + 45 \, \sqrt{2} {\left(x^{5} + 3 \, x^{3} + 2 \, x\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 6 \, x^{2} - 76 \, {\left(x^{5} + 3 \, x^{3} + 2 \, x\right)} \arctan\left(x\right) - 16}{8 \, {\left(x^{5} + 3 \, x^{3} + 2 \, x\right)}}"," ",0,"1/8*(14*x^4 + 45*sqrt(2)*(x^5 + 3*x^3 + 2*x)*arctan(1/2*sqrt(2)*x) - 6*x^2 - 76*(x^5 + 3*x^3 + 2*x)*arctan(x) - 16)/(x^5 + 3*x^3 + 2*x)","A",0
88,1,79,0,0.609266," ","integrate((5*x^6+3*x^4+x^2+4)/x^4/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{78 \, x^{6} + 350 \, x^{4} - 213 \, \sqrt{2} {\left(x^{7} + 3 \, x^{5} + 2 \, x^{3}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 216 \, x^{2} + 504 \, {\left(x^{7} + 3 \, x^{5} + 2 \, x^{3}\right)} \arctan\left(x\right) - 32}{48 \, {\left(x^{7} + 3 \, x^{5} + 2 \, x^{3}\right)}}"," ",0,"1/48*(78*x^6 + 350*x^4 - 213*sqrt(2)*(x^7 + 3*x^5 + 2*x^3)*arctan(1/2*sqrt(2)*x) + 216*x^2 + 504*(x^7 + 3*x^5 + 2*x^3)*arctan(x) - 32)/(x^7 + 3*x^5 + 2*x^3)","A",0
89,1,84,0,1.021331," ","integrate((5*x^6+3*x^4+x^2+4)/x^6/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","-\frac{2610 \, x^{8} + 7930 \, x^{6} + 4296 \, x^{4} - 1455 \, \sqrt{2} {\left(x^{9} + 3 \, x^{7} + 2 \, x^{5}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 592 \, x^{2} + 5520 \, {\left(x^{9} + 3 \, x^{7} + 2 \, x^{5}\right)} \arctan\left(x\right) + 192}{480 \, {\left(x^{9} + 3 \, x^{7} + 2 \, x^{5}\right)}}"," ",0,"-1/480*(2610*x^8 + 7930*x^6 + 4296*x^4 - 1455*sqrt(2)*(x^9 + 3*x^7 + 2*x^5)*arctan(1/2*sqrt(2)*x) - 592*x^2 + 5520*(x^9 + 3*x^7 + 2*x^5)*arctan(x) + 192)/(x^9 + 3*x^7 + 2*x^5)","A",0
90,1,89,0,1.296598," ","integrate((5*x^6+3*x^4+x^2+4)/x^8/(x^4+3*x^2+2)^2,x, algorithm=""fricas"")","\frac{58170 \, x^{10} + 163730 \, x^{8} + 80136 \, x^{6} - 15632 \, x^{4} - 12915 \, \sqrt{2} {\left(x^{11} + 3 \, x^{9} + 2 \, x^{7}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 4512 \, x^{2} + 84000 \, {\left(x^{11} + 3 \, x^{9} + 2 \, x^{7}\right)} \arctan\left(x\right) - 1920}{6720 \, {\left(x^{11} + 3 \, x^{9} + 2 \, x^{7}\right)}}"," ",0,"1/6720*(58170*x^10 + 163730*x^8 + 80136*x^6 - 15632*x^4 - 12915*sqrt(2)*(x^11 + 3*x^9 + 2*x^7)*arctan(1/2*sqrt(2)*x) + 4512*x^2 + 84000*(x^11 + 3*x^9 + 2*x^7)*arctan(x) - 1920)/(x^11 + 3*x^9 + 2*x^7)","A",0
91,1,114,0,1.232475," ","integrate(x^10*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{8 \, x^{13} - 64 \, x^{11} + 1144 \, x^{9} + 10581 \, x^{7} + 26775 \, x^{5} + 26736 \, x^{3} - 2808 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 477 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) + 9324 \, x}{8 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"1/8*(8*x^13 - 64*x^11 + 1144*x^9 + 10581*x^7 + 26775*x^5 + 26736*x^3 - 2808*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) + 477*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) + 9324*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
92,1,109,0,1.321900," ","integrate(x^8*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{40 \, x^{11} - 768 \, x^{9} - 6755 \, x^{7} - 16233 \, x^{5} - 15416 \, x^{3} + 2628 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 1347 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) - 5124 \, x}{24 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"1/24*(40*x^11 - 768*x^9 - 6755*x^7 - 16233*x^5 - 15416*x^3 + 2628*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) - 1347*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) - 5124*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
93,1,104,0,1.187220," ","integrate(x^6*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{40 \, x^{9} + 225 \, x^{7} + 231 \, x^{5} - 76 \, x^{3} - 382 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 413 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) - 124 \, x}{8 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"1/8*(40*x^9 + 225*x^7 + 231*x^5 - 76*x^3 - 382*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) + 413*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) - 124*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
94,1,99,0,0.690223," ","integrate(x^4*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{125 \, x^{7} + 629 \, x^{5} + 910 \, x^{3} + 267 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 369 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) + 408 \, x}{8 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"1/8*(125*x^7 + 629*x^5 + 910*x^3 + 267*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) - 369*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) + 408*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
95,1,99,0,1.396874," ","integrate(x^2*(5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","-\frac{260 \, x^{7} + 1202 \, x^{5} + 1686 \, x^{3} + 447 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 634 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) + 748 \, x}{16 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"-1/16*(260*x^7 + 1202*x^5 + 1686*x^3 + 447*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) - 634*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) + 748*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
96,1,99,0,1.269545," ","integrate((5*x^6+3*x^4+x^2+4)/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{434 \, x^{7} + 1972 \, x^{5} + 2782 \, x^{3} + 731 \, \sqrt{2} {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 1028 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)} \arctan\left(x\right) + 1252 \, x}{32 \, {\left(x^{8} + 6 \, x^{6} + 13 \, x^{4} + 12 \, x^{2} + 4\right)}}"," ",0,"1/32*(434*x^7 + 1972*x^5 + 2782*x^3 + 731*sqrt(2)*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(1/2*sqrt(2)*x) - 1028*(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)*arctan(x) + 1252*x)/(x^8 + 6*x^6 + 13*x^4 + 12*x^2 + 4)","A",0
97,1,108,0,1.269038," ","integrate((5*x^6+3*x^4+x^2+4)/x^2/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","-\frac{726 \, x^{8} + 3368 \, x^{6} + 4998 \, x^{4} + 1119 \, \sqrt{2} {\left(x^{9} + 6 \, x^{7} + 13 \, x^{5} + 12 \, x^{3} + 4 \, x\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 2500 \, x^{2} - 1512 \, {\left(x^{9} + 6 \, x^{7} + 13 \, x^{5} + 12 \, x^{3} + 4 \, x\right)} \arctan\left(x\right) + 128}{64 \, {\left(x^{9} + 6 \, x^{7} + 13 \, x^{5} + 12 \, x^{3} + 4 \, x\right)}}"," ",0,"-1/64*(726*x^8 + 3368*x^6 + 4998*x^4 + 1119*sqrt(2)*(x^9 + 6*x^7 + 13*x^5 + 12*x^3 + 4*x)*arctan(1/2*sqrt(2)*x) + 2500*x^2 - 1512*(x^9 + 6*x^7 + 13*x^5 + 12*x^3 + 4*x)*arctan(x) + 128)/(x^9 + 6*x^7 + 13*x^5 + 12*x^3 + 4*x)","A",0
98,1,119,0,0.962682," ","integrate((5*x^6+3*x^4+x^2+4)/x^4/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","\frac{4242 \, x^{10} + 20816 \, x^{8} + 33978 \, x^{6} + 20252 \, x^{4} + 4833 \, \sqrt{2} {\left(x^{11} + 6 \, x^{9} + 13 \, x^{7} + 12 \, x^{5} + 4 \, x^{3}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 2496 \, x^{2} - 5424 \, {\left(x^{11} + 6 \, x^{9} + 13 \, x^{7} + 12 \, x^{5} + 4 \, x^{3}\right)} \arctan\left(x\right) - 256}{384 \, {\left(x^{11} + 6 \, x^{9} + 13 \, x^{7} + 12 \, x^{5} + 4 \, x^{3}\right)}}"," ",0,"1/384*(4242*x^10 + 20816*x^8 + 33978*x^6 + 20252*x^4 + 4833*sqrt(2)*(x^11 + 6*x^9 + 13*x^7 + 12*x^5 + 4*x^3)*arctan(1/2*sqrt(2)*x) + 2496*x^2 - 5424*(x^11 + 6*x^9 + 13*x^7 + 12*x^5 + 4*x^3)*arctan(x) - 256)/(x^11 + 6*x^9 + 13*x^7 + 12*x^5 + 4*x^3)","A",0
99,1,124,0,1.249473," ","integrate((5*x^6+3*x^4+x^2+4)/x^6/(x^4+3*x^2+2)^3,x, algorithm=""fricas"")","-\frac{52290 \, x^{12} + 274240 \, x^{10} + 492954 \, x^{8} + 341404 \, x^{6} + 61632 \, x^{4} + 33105 \, \sqrt{2} {\left(x^{13} + 6 \, x^{11} + 13 \, x^{9} + 12 \, x^{7} + 4 \, x^{5}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 6272 \, x^{2} - 13920 \, {\left(x^{13} + 6 \, x^{11} + 13 \, x^{9} + 12 \, x^{7} + 4 \, x^{5}\right)} \arctan\left(x\right) + 1536}{3840 \, {\left(x^{13} + 6 \, x^{11} + 13 \, x^{9} + 12 \, x^{7} + 4 \, x^{5}\right)}}"," ",0,"-1/3840*(52290*x^12 + 274240*x^10 + 492954*x^8 + 341404*x^6 + 61632*x^4 + 33105*sqrt(2)*(x^13 + 6*x^11 + 13*x^9 + 12*x^7 + 4*x^5)*arctan(1/2*sqrt(2)*x) - 6272*x^2 - 13920*(x^13 + 6*x^11 + 13*x^9 + 12*x^7 + 4*x^5)*arctan(x) + 1536)/(x^13 + 6*x^11 + 13*x^9 + 12*x^7 + 4*x^5)","A",0
100,1,95,0,1.136870," ","integrate(x^9*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{30 \, x^{12} - 76 \, x^{10} + 46 \, x^{8} + 960 \, x^{6} + 2508 \, x^{4} + 603 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) + 1686 \, x^{2} - 2196 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) - 2250}{48 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/48*(30*x^12 - 76*x^10 + 46*x^8 + 960*x^6 + 2508*x^4 + 603*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) + 1686*x^2 - 2196*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) - 2250)/(x^4 + 2*x^2 + 3)","A",0
101,1,90,0,1.121112," ","integrate(x^7*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{40 \, x^{10} - 124 \, x^{8} + 168 \, x^{6} + 300 \, x^{4} - 1365 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) + 2118 \, x^{2} + 456 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) + 450}{48 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/48*(40*x^10 - 124*x^8 + 168*x^6 + 300*x^4 - 1365*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) + 2118*x^2 + 456*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) + 450)/(x^4 + 2*x^2 + 3)","A",0
102,1,85,0,1.051938," ","integrate(x^5*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{20 \, x^{8} - 96 \, x^{6} - 212 \, x^{4} + 203 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) - 458 \, x^{2} + 76 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) + 150}{16 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/16*(20*x^8 - 96*x^6 - 212*x^4 + 203*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) - 458*x^2 + 76*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) + 150)/(x^4 + 2*x^2 + 3)","A",0
103,1,80,0,1.000562," ","integrate(x^3*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{40 \, x^{6} + 80 \, x^{4} - 17 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) + 70 \, x^{2} - 68 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) - 150}{16 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/16*(40*x^6 + 80*x^4 - 17*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) + 70*x^2 - 68*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) - 150)/(x^4 + 2*x^2 + 3)","A",0
104,1,70,0,1.329978," ","integrate(x*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{23 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) - 50 \, x^{2} - 20 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) - 50}{16 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"-1/16*(23*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) - 50*x^2 - 20*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) - 50)/(x^4 + 2*x^2 + 3)","A",0
105,1,84,0,0.840315," ","integrate((5*x^6+3*x^4+x^2+4)/x/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{89 \, \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) - 150 \, x^{2} - 16 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) + 64 \, {\left(x^{4} + 2 \, x^{2} + 3\right)} \log\left(x\right) + 150}{144 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/144*(89*sqrt(2)*(x^4 + 2*x^2 + 3)*arctan(1/2*sqrt(2)*(x^2 + 1)) - 150*x^2 - 16*(x^4 + 2*x^2 + 3)*log(x^4 + 2*x^2 + 3) + 64*(x^4 + 2*x^2 + 3)*log(x) + 150)/(x^4 + 2*x^2 + 3)","A",0
106,1,105,0,1.189778," ","integrate((5*x^6+3*x^4+x^2+4)/x^3/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{246 \, x^{4} + 71 \, \sqrt{2} {\left(x^{6} + 2 \, x^{4} + 3 \, x^{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) + 942 \, x^{2} - 52 \, {\left(x^{6} + 2 \, x^{4} + 3 \, x^{2}\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) + 208 \, {\left(x^{6} + 2 \, x^{4} + 3 \, x^{2}\right)} \log\left(x\right) + 288}{432 \, {\left(x^{6} + 2 \, x^{4} + 3 \, x^{2}\right)}}"," ",0,"-1/432*(246*x^4 + 71*sqrt(2)*(x^6 + 2*x^4 + 3*x^2)*arctan(1/2*sqrt(2)*(x^2 + 1)) + 942*x^2 - 52*(x^6 + 2*x^4 + 3*x^2)*log(x^4 + 2*x^2 + 3) + 208*(x^6 + 2*x^4 + 3*x^2)*log(x) + 288)/(x^6 + 2*x^4 + 3*x^2)","A",0
107,1,110,0,1.067394," ","integrate((5*x^6+3*x^4+x^2+4)/x^5/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{354 \, x^{6} + 510 \, x^{4} + 125 \, \sqrt{2} {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) + 216 \, x^{2} - 52 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4}\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) + 208 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4}\right)} \log\left(x\right) - 144}{432 \, {\left(x^{8} + 2 \, x^{6} + 3 \, x^{4}\right)}}"," ",0,"1/432*(354*x^6 + 510*x^4 + 125*sqrt(2)*(x^8 + 2*x^6 + 3*x^4)*arctan(1/2*sqrt(2)*(x^2 + 1)) + 216*x^2 - 52*(x^8 + 2*x^6 + 3*x^4)*log(x^4 + 2*x^2 + 3) + 208*(x^8 + 2*x^6 + 3*x^4)*log(x) - 144)/(x^8 + 2*x^6 + 3*x^4)","A",0
108,1,115,0,1.214596," ","integrate((5*x^6+3*x^4+x^2+4)/x^7/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{1986 \, x^{8} + 1254 \, x^{6} + 2160 \, x^{4} + 1237 \, \sqrt{2} {\left(x^{10} + 2 \, x^{8} + 3 \, x^{6}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x^{2} + 1\right)}\right) - 828 \, x^{2} + 244 \, {\left(x^{10} + 2 \, x^{8} + 3 \, x^{6}\right)} \log\left(x^{4} + 2 \, x^{2} + 3\right) - 976 \, {\left(x^{10} + 2 \, x^{8} + 3 \, x^{6}\right)} \log\left(x\right) + 864}{3888 \, {\left(x^{10} + 2 \, x^{8} + 3 \, x^{6}\right)}}"," ",0,"-1/3888*(1986*x^8 + 1254*x^6 + 2160*x^4 + 1237*sqrt(2)*(x^10 + 2*x^8 + 3*x^6)*arctan(1/2*sqrt(2)*(x^2 + 1)) - 828*x^2 + 244*(x^10 + 2*x^8 + 3*x^6)*log(x^4 + 2*x^2 + 3) - 976*(x^10 + 2*x^8 + 3*x^6)*log(x) + 864)/(x^10 + 2*x^8 + 3*x^6)","A",0
109,1,519,0,1.305907," ","integrate(x^8*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{242072962564800 \, x^{11} - 668121376678848 \, x^{9} + 568064552152064 \, x^{7} + 13714240239171136 \, x^{5} - 102773860 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{262771 \, \sqrt{3} + 1854873} \arctan\left(\frac{1}{3145089554732313026311937382} \, \sqrt{50431867201} 14158657803^{\frac{3}{4}} \sqrt{68699} \sqrt{3 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1339 \, \sqrt{3} x - 987 \, x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} + 453886804809 \, x^{2} + 453886804809 \, \sqrt{3}} {\left(329 \, \sqrt{3} \sqrt{2} - 1339 \, \sqrt{2}\right)} \sqrt{262771 \, \sqrt{3} + 1854873} - \frac{1}{20787713069048994} \cdot 14158657803^{\frac{3}{4}} \sqrt{68699} {\left(329 \, \sqrt{3} \sqrt{2} x - 1339 \, \sqrt{2} x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 102773860 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{262771 \, \sqrt{3} + 1854873} \arctan\left(\frac{1}{3145089554732313026311937382} \, \sqrt{50431867201} 14158657803^{\frac{3}{4}} \sqrt{68699} \sqrt{-3 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1339 \, \sqrt{3} x - 987 \, x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} + 453886804809 \, x^{2} + 453886804809 \, \sqrt{3}} {\left(329 \, \sqrt{3} \sqrt{2} - 1339 \, \sqrt{2}\right)} \sqrt{262771 \, \sqrt{3} + 1854873} - \frac{1}{20787713069048994} \cdot 14158657803^{\frac{3}{4}} \sqrt{68699} {\left(329 \, \sqrt{3} \sqrt{2} x - 1339 \, \sqrt{2} x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 35 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1854873 \, x^{4} + 3709746 \, x^{2} - 262771 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 5564619\right)} \sqrt{262771 \, \sqrt{3} + 1854873} \log\left(3 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1339 \, \sqrt{3} x - 987 \, x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} + 453886804809 \, x^{2} + 453886804809 \, \sqrt{3}\right) - 35 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1854873 \, x^{4} + 3709746 \, x^{2} - 262771 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 5564619\right)} \sqrt{262771 \, \sqrt{3} + 1854873} \log\left(-3 \cdot 14158657803^{\frac{1}{4}} \sqrt{68699} {\left(1339 \, \sqrt{3} x - 987 \, x\right)} \sqrt{262771 \, \sqrt{3} + 1854873} + 453886804809 \, x^{2} + 453886804809 \, \sqrt{3}\right) + 37491050077223400 \, x^{3} + 41812052459005080 \, x}{338902147590720 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/338902147590720*(242072962564800*x^11 - 668121376678848*x^9 + 568064552152064*x^7 + 13714240239171136*x^5 - 102773860*14158657803^(1/4)*sqrt(68699)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(262771*sqrt(3) + 1854873)*arctan(1/3145089554732313026311937382*sqrt(50431867201)*14158657803^(3/4)*sqrt(68699)*sqrt(3*14158657803^(1/4)*sqrt(68699)*(1339*sqrt(3)*x - 987*x)*sqrt(262771*sqrt(3) + 1854873) + 453886804809*x^2 + 453886804809*sqrt(3))*(329*sqrt(3)*sqrt(2) - 1339*sqrt(2))*sqrt(262771*sqrt(3) + 1854873) - 1/20787713069048994*14158657803^(3/4)*sqrt(68699)*(329*sqrt(3)*sqrt(2)*x - 1339*sqrt(2)*x)*sqrt(262771*sqrt(3) + 1854873) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 102773860*14158657803^(1/4)*sqrt(68699)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(262771*sqrt(3) + 1854873)*arctan(1/3145089554732313026311937382*sqrt(50431867201)*14158657803^(3/4)*sqrt(68699)*sqrt(-3*14158657803^(1/4)*sqrt(68699)*(1339*sqrt(3)*x - 987*x)*sqrt(262771*sqrt(3) + 1854873) + 453886804809*x^2 + 453886804809*sqrt(3))*(329*sqrt(3)*sqrt(2) - 1339*sqrt(2))*sqrt(262771*sqrt(3) + 1854873) - 1/20787713069048994*14158657803^(3/4)*sqrt(68699)*(329*sqrt(3)*sqrt(2)*x - 1339*sqrt(2)*x)*sqrt(262771*sqrt(3) + 1854873) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 35*14158657803^(1/4)*sqrt(68699)*(1854873*x^4 + 3709746*x^2 - 262771*sqrt(3)*(x^4 + 2*x^2 + 3) + 5564619)*sqrt(262771*sqrt(3) + 1854873)*log(3*14158657803^(1/4)*sqrt(68699)*(1339*sqrt(3)*x - 987*x)*sqrt(262771*sqrt(3) + 1854873) + 453886804809*x^2 + 453886804809*sqrt(3)) - 35*14158657803^(1/4)*sqrt(68699)*(1854873*x^4 + 3709746*x^2 - 262771*sqrt(3)*(x^4 + 2*x^2 + 3) + 5564619)*sqrt(262771*sqrt(3) + 1854873)*log(-3*14158657803^(1/4)*sqrt(68699)*(1339*sqrt(3)*x - 987*x)*sqrt(262771*sqrt(3) + 1854873) + 453886804809*x^2 + 453886804809*sqrt(3)) + 37491050077223400*x^3 + 41812052459005080*x)/(x^4 + 2*x^2 + 3)","B",0
110,1,476,0,1.304198," ","integrate(x^6*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{287671488 \, x^{9} - 1054795456 \, x^{7} + 3068495872 \, x^{5} + 3588 \cdot 677973267^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} \arctan\left(\frac{1}{1822344999502852422} \cdot 677973267^{\frac{3}{4}} \sqrt{4494867} \sqrt{4494867 \, x^{2} + 677973267^{\frac{1}{4}} {\left(31 \, \sqrt{3} x + 59 \, x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} + 4494867 \, \sqrt{3}} {\left(59 \, \sqrt{3} \sqrt{2} + 93 \, \sqrt{2}\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} - \frac{1}{405428013666} \cdot 677973267^{\frac{3}{4}} {\left(59 \, \sqrt{3} \sqrt{2} x + 93 \, \sqrt{2} x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 3588 \cdot 677973267^{\frac{1}{4}} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} \arctan\left(\frac{1}{1822344999502852422} \cdot 677973267^{\frac{3}{4}} \sqrt{4494867} \sqrt{4494867 \, x^{2} - 677973267^{\frac{1}{4}} {\left(31 \, \sqrt{3} x + 59 \, x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} + 4494867 \, \sqrt{3}} {\left(59 \, \sqrt{3} \sqrt{2} + 93 \, \sqrt{2}\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} - \frac{1}{405428013666} \cdot 677973267^{\frac{3}{4}} {\left(59 \, \sqrt{3} \sqrt{2} x + 93 \, \sqrt{2} x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 5142127848 \, x^{3} - 3 \cdot 677973267^{\frac{1}{4}} {\left(15033 \, x^{4} + 30066 \, x^{2} + 8669 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 45099\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} \log\left(4494867 \, x^{2} + 677973267^{\frac{1}{4}} {\left(31 \, \sqrt{3} x + 59 \, x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} + 4494867 \, \sqrt{3}\right) + 3 \cdot 677973267^{\frac{1}{4}} {\left(15033 \, x^{4} + 30066 \, x^{2} + 8669 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 45099\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} \log\left(4494867 \, x^{2} - 677973267^{\frac{1}{4}} {\left(31 \, \sqrt{3} x + 59 \, x\right)} \sqrt{-43440359 \, \sqrt{3} + 75330363} + 4494867 \, \sqrt{3}\right) + 19094195016 \, x}{287671488 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/287671488*(287671488*x^9 - 1054795456*x^7 + 3068495872*x^5 + 3588*677973267^(1/4)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(-43440359*sqrt(3) + 75330363)*arctan(1/1822344999502852422*677973267^(3/4)*sqrt(4494867)*sqrt(4494867*x^2 + 677973267^(1/4)*(31*sqrt(3)*x + 59*x)*sqrt(-43440359*sqrt(3) + 75330363) + 4494867*sqrt(3))*(59*sqrt(3)*sqrt(2) + 93*sqrt(2))*sqrt(-43440359*sqrt(3) + 75330363) - 1/405428013666*677973267^(3/4)*(59*sqrt(3)*sqrt(2)*x + 93*sqrt(2)*x)*sqrt(-43440359*sqrt(3) + 75330363) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 3588*677973267^(1/4)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(-43440359*sqrt(3) + 75330363)*arctan(1/1822344999502852422*677973267^(3/4)*sqrt(4494867)*sqrt(4494867*x^2 - 677973267^(1/4)*(31*sqrt(3)*x + 59*x)*sqrt(-43440359*sqrt(3) + 75330363) + 4494867*sqrt(3))*(59*sqrt(3)*sqrt(2) + 93*sqrt(2))*sqrt(-43440359*sqrt(3) + 75330363) - 1/405428013666*677973267^(3/4)*(59*sqrt(3)*sqrt(2)*x + 93*sqrt(2)*x)*sqrt(-43440359*sqrt(3) + 75330363) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 5142127848*x^3 - 3*677973267^(1/4)*(15033*x^4 + 30066*x^2 + 8669*sqrt(3)*(x^4 + 2*x^2 + 3) + 45099)*sqrt(-43440359*sqrt(3) + 75330363)*log(4494867*x^2 + 677973267^(1/4)*(31*sqrt(3)*x + 59*x)*sqrt(-43440359*sqrt(3) + 75330363) + 4494867*sqrt(3)) + 3*677973267^(1/4)*(15033*x^4 + 30066*x^2 + 8669*sqrt(3)*(x^4 + 2*x^2 + 3) + 45099)*sqrt(-43440359*sqrt(3) + 75330363)*log(4494867*x^2 - 677973267^(1/4)*(31*sqrt(3)*x + 59*x)*sqrt(-43440359*sqrt(3) + 75330363) + 4494867*sqrt(3)) + 19094195016*x)/(x^4 + 2*x^2 + 3)","B",0
111,1,508,0,1.376233," ","integrate(x^4*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{2159655360 \, x^{7} - 17709173952 \, x^{5} - 123268 \cdot 143883^{\frac{1}{4}} \sqrt{219} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{14395 \, \sqrt{3} + 79497} \arctan\left(\frac{1}{658350237832613766} \, \sqrt{24746051} 143883^{\frac{3}{4}} \sqrt{219} \sqrt{11 \cdot 143883^{\frac{1}{4}} \sqrt{219} {\left(127 \, \sqrt{3} x - 483 \, x\right)} \sqrt{14395 \, \sqrt{3} + 79497} + 222714459 \, x^{2} + 222714459 \, \sqrt{3}} {\left(161 \, \sqrt{3} \sqrt{2} - 127 \, \sqrt{2}\right)} \sqrt{14395 \, \sqrt{3} + 79497} - \frac{1}{8868084822} \cdot 143883^{\frac{3}{4}} \sqrt{219} {\left(161 \, \sqrt{3} \sqrt{2} x - 127 \, \sqrt{2} x\right)} \sqrt{14395 \, \sqrt{3} + 79497} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 123268 \cdot 143883^{\frac{1}{4}} \sqrt{219} \sqrt{3} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{14395 \, \sqrt{3} + 79497} \arctan\left(\frac{1}{658350237832613766} \, \sqrt{24746051} 143883^{\frac{3}{4}} \sqrt{219} \sqrt{-11 \cdot 143883^{\frac{1}{4}} \sqrt{219} {\left(127 \, \sqrt{3} x - 483 \, x\right)} \sqrt{14395 \, \sqrt{3} + 79497} + 222714459 \, x^{2} + 222714459 \, \sqrt{3}} {\left(161 \, \sqrt{3} \sqrt{2} - 127 \, \sqrt{2}\right)} \sqrt{14395 \, \sqrt{3} + 79497} - \frac{1}{8868084822} \cdot 143883^{\frac{3}{4}} \sqrt{219} {\left(161 \, \sqrt{3} \sqrt{2} x - 127 \, \sqrt{2} x\right)} \sqrt{14395 \, \sqrt{3} + 79497} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 143883^{\frac{1}{4}} \sqrt{219} {\left(79497 \, x^{4} + 158994 \, x^{2} - 14395 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 238491\right)} \sqrt{14395 \, \sqrt{3} + 79497} \log\left(11 \cdot 143883^{\frac{1}{4}} \sqrt{219} {\left(127 \, \sqrt{3} x - 483 \, x\right)} \sqrt{14395 \, \sqrt{3} + 79497} + 222714459 \, x^{2} + 222714459 \, \sqrt{3}\right) + 143883^{\frac{1}{4}} \sqrt{219} {\left(79497 \, x^{4} + 158994 \, x^{2} - 14395 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 238491\right)} \sqrt{14395 \, \sqrt{3} + 79497} \log\left(-11 \cdot 143883^{\frac{1}{4}} \sqrt{219} {\left(127 \, \sqrt{3} x - 483 \, x\right)} \sqrt{14395 \, \sqrt{3} + 79497} + 222714459 \, x^{2} + 222714459 \, \sqrt{3}\right) - 41627357064 \, x^{3} - 78233515416 \, x}{1295793216 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/1295793216*(2159655360*x^7 - 17709173952*x^5 - 123268*143883^(1/4)*sqrt(219)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(14395*sqrt(3) + 79497)*arctan(1/658350237832613766*sqrt(24746051)*143883^(3/4)*sqrt(219)*sqrt(11*143883^(1/4)*sqrt(219)*(127*sqrt(3)*x - 483*x)*sqrt(14395*sqrt(3) + 79497) + 222714459*x^2 + 222714459*sqrt(3))*(161*sqrt(3)*sqrt(2) - 127*sqrt(2))*sqrt(14395*sqrt(3) + 79497) - 1/8868084822*143883^(3/4)*sqrt(219)*(161*sqrt(3)*sqrt(2)*x - 127*sqrt(2)*x)*sqrt(14395*sqrt(3) + 79497) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 123268*143883^(1/4)*sqrt(219)*sqrt(3)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(14395*sqrt(3) + 79497)*arctan(1/658350237832613766*sqrt(24746051)*143883^(3/4)*sqrt(219)*sqrt(-11*143883^(1/4)*sqrt(219)*(127*sqrt(3)*x - 483*x)*sqrt(14395*sqrt(3) + 79497) + 222714459*x^2 + 222714459*sqrt(3))*(161*sqrt(3)*sqrt(2) - 127*sqrt(2))*sqrt(14395*sqrt(3) + 79497) - 1/8868084822*143883^(3/4)*sqrt(219)*(161*sqrt(3)*sqrt(2)*x - 127*sqrt(2)*x)*sqrt(14395*sqrt(3) + 79497) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 143883^(1/4)*sqrt(219)*(79497*x^4 + 158994*x^2 - 14395*sqrt(3)*(x^4 + 2*x^2 + 3) + 238491)*sqrt(14395*sqrt(3) + 79497)*log(11*143883^(1/4)*sqrt(219)*(127*sqrt(3)*x - 483*x)*sqrt(14395*sqrt(3) + 79497) + 222714459*x^2 + 222714459*sqrt(3)) + 143883^(1/4)*sqrt(219)*(79497*x^4 + 158994*x^2 - 14395*sqrt(3)*(x^4 + 2*x^2 + 3) + 238491)*sqrt(14395*sqrt(3) + 79497)*log(-11*143883^(1/4)*sqrt(219)*(127*sqrt(3)*x - 483*x)*sqrt(14395*sqrt(3) + 79497) + 222714459*x^2 + 222714459*sqrt(3)) - 41627357064*x^3 - 78233515416*x)/(x^4 + 2*x^2 + 3)","B",0
112,1,459,0,1.222354," ","integrate(x^2*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{98680445760 \, x^{5} + 31876 \cdot 499152603^{\frac{1}{4}} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} \arctan\left(\frac{1}{2453286601800494203302} \cdot 499152603^{\frac{3}{4}} \sqrt{308376393} \sqrt{308376393 \, x^{2} + 499152603^{\frac{1}{4}} {\left(145 \, \sqrt{3} x - 333 \, x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} + 308376393 \, \sqrt{3}} {\left(111 \, \sqrt{3} \sqrt{2} - 145 \, \sqrt{2}\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} - \frac{1}{7955494186614} \cdot 499152603^{\frac{3}{4}} {\left(111 \, \sqrt{3} \sqrt{2} x - 145 \, \sqrt{2} x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 31876 \cdot 499152603^{\frac{1}{4}} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} \arctan\left(\frac{1}{2453286601800494203302} \cdot 499152603^{\frac{3}{4}} \sqrt{308376393} \sqrt{308376393 \, x^{2} - 499152603^{\frac{1}{4}} {\left(145 \, \sqrt{3} x - 333 \, x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} + 308376393 \, \sqrt{3}} {\left(111 \, \sqrt{3} \sqrt{2} - 145 \, \sqrt{2}\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} - \frac{1}{7955494186614} \cdot 499152603^{\frac{3}{4}} {\left(111 \, \sqrt{3} \sqrt{2} x - 145 \, \sqrt{2} x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 259036170120 \, x^{3} + 499152603^{\frac{1}{4}} {\left(19291 \, x^{4} + 38582 \, x^{2} - 12899 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 57873\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} \log\left(308376393 \, x^{2} + 499152603^{\frac{1}{4}} {\left(145 \, \sqrt{3} x - 333 \, x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} + 308376393 \, \sqrt{3}\right) - 499152603^{\frac{1}{4}} {\left(19291 \, x^{4} + 38582 \, x^{2} - 12899 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 57873\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} \log\left(308376393 \, x^{2} - 499152603^{\frac{1}{4}} {\left(145 \, \sqrt{3} x - 333 \, x\right)} \sqrt{248834609 \, \sqrt{3} + 499152603} + 308376393 \, \sqrt{3}\right) + 357716615880 \, x}{19736089152 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"1/19736089152*(98680445760*x^5 + 31876*499152603^(1/4)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(248834609*sqrt(3) + 499152603)*arctan(1/2453286601800494203302*499152603^(3/4)*sqrt(308376393)*sqrt(308376393*x^2 + 499152603^(1/4)*(145*sqrt(3)*x - 333*x)*sqrt(248834609*sqrt(3) + 499152603) + 308376393*sqrt(3))*(111*sqrt(3)*sqrt(2) - 145*sqrt(2))*sqrt(248834609*sqrt(3) + 499152603) - 1/7955494186614*499152603^(3/4)*(111*sqrt(3)*sqrt(2)*x - 145*sqrt(2)*x)*sqrt(248834609*sqrt(3) + 499152603) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 31876*499152603^(1/4)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(248834609*sqrt(3) + 499152603)*arctan(1/2453286601800494203302*499152603^(3/4)*sqrt(308376393)*sqrt(308376393*x^2 - 499152603^(1/4)*(145*sqrt(3)*x - 333*x)*sqrt(248834609*sqrt(3) + 499152603) + 308376393*sqrt(3))*(111*sqrt(3)*sqrt(2) - 145*sqrt(2))*sqrt(248834609*sqrt(3) + 499152603) - 1/7955494186614*499152603^(3/4)*(111*sqrt(3)*sqrt(2)*x - 145*sqrt(2)*x)*sqrt(248834609*sqrt(3) + 499152603) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 259036170120*x^3 + 499152603^(1/4)*(19291*x^4 + 38582*x^2 - 12899*sqrt(3)*(x^4 + 2*x^2 + 3) + 57873)*sqrt(248834609*sqrt(3) + 499152603)*log(308376393*x^2 + 499152603^(1/4)*(145*sqrt(3)*x - 333*x)*sqrt(248834609*sqrt(3) + 499152603) + 308376393*sqrt(3)) - 499152603^(1/4)*(19291*x^4 + 38582*x^2 - 12899*sqrt(3)*(x^4 + 2*x^2 + 3) + 57873)*sqrt(248834609*sqrt(3) + 499152603)*log(308376393*x^2 - 499152603^(1/4)*(145*sqrt(3)*x - 333*x)*sqrt(248834609*sqrt(3) + 499152603) + 308376393*sqrt(3)) + 357716615880*x)/(x^4 + 2*x^2 + 3)","B",0
113,1,454,0,1.408344," ","integrate((5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{54052 \cdot 6160467^{\frac{1}{4}} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} \arctan\left(\frac{1}{29015889224422097862} \, \sqrt{19364129} 6160467^{\frac{3}{4}} \sqrt{174277161 \, x^{2} + 6160467^{\frac{1}{4}} {\left(7 \, \sqrt{3} x - 285 \, x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} + 174277161 \, \sqrt{3}} {\left(95 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} - \frac{1}{499478343426} \cdot 6160467^{\frac{3}{4}} {\left(95 \, \sqrt{3} \sqrt{2} x - 7 \, \sqrt{2} x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 54052 \cdot 6160467^{\frac{1}{4}} \sqrt{2} {\left(x^{4} + 2 \, x^{2} + 3\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} \arctan\left(\frac{1}{29015889224422097862} \, \sqrt{19364129} 6160467^{\frac{3}{4}} \sqrt{174277161 \, x^{2} - 6160467^{\frac{1}{4}} {\left(7 \, \sqrt{3} x - 285 \, x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} + 174277161 \, \sqrt{3}} {\left(95 \, \sqrt{3} \sqrt{2} - 7 \, \sqrt{2}\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} - \frac{1}{499478343426} \cdot 6160467^{\frac{3}{4}} {\left(95 \, \sqrt{3} \sqrt{2} x - 7 \, \sqrt{2} x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 34855432200 \, x^{3} - 6160467^{\frac{1}{4}} {\left(11567 \, x^{4} + 23134 \, x^{2} + 12897 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 34701\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} \log\left(174277161 \, x^{2} + 6160467^{\frac{1}{4}} {\left(7 \, \sqrt{3} x - 285 \, x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} + 174277161 \, \sqrt{3}\right) + 6160467^{\frac{1}{4}} {\left(11567 \, x^{4} + 23134 \, x^{2} + 12897 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 3\right)} + 34701\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} \log\left(174277161 \, x^{2} - 6160467^{\frac{1}{4}} {\left(7 \, \sqrt{3} x - 285 \, x\right)} \sqrt{-149179599 \, \sqrt{3} + 498997827} + 174277161 \, \sqrt{3}\right) - 34855432200 \, x}{33461214912 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}}"," ",0,"-1/33461214912*(54052*6160467^(1/4)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(-149179599*sqrt(3) + 498997827)*arctan(1/29015889224422097862*sqrt(19364129)*6160467^(3/4)*sqrt(174277161*x^2 + 6160467^(1/4)*(7*sqrt(3)*x - 285*x)*sqrt(-149179599*sqrt(3) + 498997827) + 174277161*sqrt(3))*(95*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(-149179599*sqrt(3) + 498997827) - 1/499478343426*6160467^(3/4)*(95*sqrt(3)*sqrt(2)*x - 7*sqrt(2)*x)*sqrt(-149179599*sqrt(3) + 498997827) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 54052*6160467^(1/4)*sqrt(2)*(x^4 + 2*x^2 + 3)*sqrt(-149179599*sqrt(3) + 498997827)*arctan(1/29015889224422097862*sqrt(19364129)*6160467^(3/4)*sqrt(174277161*x^2 - 6160467^(1/4)*(7*sqrt(3)*x - 285*x)*sqrt(-149179599*sqrt(3) + 498997827) + 174277161*sqrt(3))*(95*sqrt(3)*sqrt(2) - 7*sqrt(2))*sqrt(-149179599*sqrt(3) + 498997827) - 1/499478343426*6160467^(3/4)*(95*sqrt(3)*sqrt(2)*x - 7*sqrt(2)*x)*sqrt(-149179599*sqrt(3) + 498997827) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 34855432200*x^3 - 6160467^(1/4)*(11567*x^4 + 23134*x^2 + 12897*sqrt(3)*(x^4 + 2*x^2 + 3) + 34701)*sqrt(-149179599*sqrt(3) + 498997827)*log(174277161*x^2 + 6160467^(1/4)*(7*sqrt(3)*x - 285*x)*sqrt(-149179599*sqrt(3) + 498997827) + 174277161*sqrt(3)) + 6160467^(1/4)*(11567*x^4 + 23134*x^2 + 12897*sqrt(3)*(x^4 + 2*x^2 + 3) + 34701)*sqrt(-149179599*sqrt(3) + 498997827)*log(174277161*x^2 - 6160467^(1/4)*(7*sqrt(3)*x - 285*x)*sqrt(-149179599*sqrt(3) + 498997827) + 174277161*sqrt(3)) - 34855432200*x)/(x^4 + 2*x^2 + 3)","B",0
114,1,471,0,1.346849," ","integrate((5*x^6+3*x^4+x^2+4)/x^2/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{164790648 \, x^{4} - 2068 \cdot 1465803^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + 2 \, x^{3} + 3 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} \arctan\left(\frac{1}{547726639257666} \cdot 1465803^{\frac{3}{4}} \sqrt{120461} \sqrt{1084149 \, x^{2} + 1465803^{\frac{1}{4}} {\left(7 \, \sqrt{3} x + 57 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} + 1084149 \, \sqrt{3}} {\left(19 \, \sqrt{3} \sqrt{2} + 7 \, \sqrt{2}\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} - \frac{1}{1515640302} \cdot 1465803^{\frac{3}{4}} {\left(19 \, \sqrt{3} \sqrt{2} x + 7 \, \sqrt{2} x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 2068 \cdot 1465803^{\frac{1}{4}} \sqrt{2} {\left(x^{5} + 2 \, x^{3} + 3 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} \arctan\left(\frac{1}{547726639257666} \cdot 1465803^{\frac{3}{4}} \sqrt{120461} \sqrt{1084149 \, x^{2} - 1465803^{\frac{1}{4}} {\left(7 \, \sqrt{3} x + 57 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} + 1084149 \, \sqrt{3}} {\left(19 \, \sqrt{3} \sqrt{2} + 7 \, \sqrt{2}\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} - \frac{1}{1515640302} \cdot 1465803^{\frac{3}{4}} {\left(19 \, \sqrt{3} \sqrt{2} x + 7 \, \sqrt{2} x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 1465803^{\frac{1}{4}} {\left(965 \, x^{5} + 1930 \, x^{3} + 699 \, \sqrt{3} {\left(x^{5} + 2 \, x^{3} + 3 \, x\right)} + 2895 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} \log\left(1084149 \, x^{2} + 1465803^{\frac{1}{4}} {\left(7 \, \sqrt{3} x + 57 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} + 1084149 \, \sqrt{3}\right) + 1465803^{\frac{1}{4}} {\left(965 \, x^{5} + 1930 \, x^{3} + 699 \, \sqrt{3} {\left(x^{5} + 2 \, x^{3} + 3 \, x\right)} + 2895 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} \log\left(1084149 \, x^{2} - 1465803^{\frac{1}{4}} {\left(7 \, \sqrt{3} x + 57 \, x\right)} \sqrt{-674535 \, \sqrt{3} + 1465803} + 1084149 \, \sqrt{3}\right) + 546411096 \, x^{2} + 277542144}{208156608 \, {\left(x^{5} + 2 \, x^{3} + 3 \, x\right)}}"," ",0,"-1/208156608*(164790648*x^4 - 2068*1465803^(1/4)*sqrt(2)*(x^5 + 2*x^3 + 3*x)*sqrt(-674535*sqrt(3) + 1465803)*arctan(1/547726639257666*1465803^(3/4)*sqrt(120461)*sqrt(1084149*x^2 + 1465803^(1/4)*(7*sqrt(3)*x + 57*x)*sqrt(-674535*sqrt(3) + 1465803) + 1084149*sqrt(3))*(19*sqrt(3)*sqrt(2) + 7*sqrt(2))*sqrt(-674535*sqrt(3) + 1465803) - 1/1515640302*1465803^(3/4)*(19*sqrt(3)*sqrt(2)*x + 7*sqrt(2)*x)*sqrt(-674535*sqrt(3) + 1465803) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 2068*1465803^(1/4)*sqrt(2)*(x^5 + 2*x^3 + 3*x)*sqrt(-674535*sqrt(3) + 1465803)*arctan(1/547726639257666*1465803^(3/4)*sqrt(120461)*sqrt(1084149*x^2 - 1465803^(1/4)*(7*sqrt(3)*x + 57*x)*sqrt(-674535*sqrt(3) + 1465803) + 1084149*sqrt(3))*(19*sqrt(3)*sqrt(2) + 7*sqrt(2))*sqrt(-674535*sqrt(3) + 1465803) - 1/1515640302*1465803^(3/4)*(19*sqrt(3)*sqrt(2)*x + 7*sqrt(2)*x)*sqrt(-674535*sqrt(3) + 1465803) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 1465803^(1/4)*(965*x^5 + 1930*x^3 + 699*sqrt(3)*(x^5 + 2*x^3 + 3*x) + 2895*x)*sqrt(-674535*sqrt(3) + 1465803)*log(1084149*x^2 + 1465803^(1/4)*(7*sqrt(3)*x + 57*x)*sqrt(-674535*sqrt(3) + 1465803) + 1084149*sqrt(3)) + 1465803^(1/4)*(965*x^5 + 1930*x^3 + 699*sqrt(3)*(x^5 + 2*x^3 + 3*x) + 2895*x)*sqrt(-674535*sqrt(3) + 1465803)*log(1084149*x^2 - 1465803^(1/4)*(7*sqrt(3)*x + 57*x)*sqrt(-674535*sqrt(3) + 1465803) + 1084149*sqrt(3)) + 546411096*x^2 + 277542144)/(x^5 + 2*x^3 + 3*x)","B",0
115,1,528,0,1.362028," ","integrate((5*x^6+3*x^4+x^2+4)/x^4/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","\frac{2397560030424 \, x^{6} + 3674862754056 \, x^{4} - 277108 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} \sqrt{2} {\left(x^{7} + 2 \, x^{5} + 3 \, x^{3}\right)} \sqrt{6073 \, \sqrt{3} + 170019} \arctan\left(\frac{1}{295480530439458889122} \cdot 118956627^{\frac{3}{4}} \sqrt{81861} \sqrt{6297} \sqrt{3 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} {\left(137 \, \sqrt{3} x - 687 \, x\right)} \sqrt{6073 \, \sqrt{3} + 170019} + 3926135421 \, x^{2} + 3926135421 \, \sqrt{3}} {\left(229 \, \sqrt{3} \sqrt{2} - 137 \, \sqrt{2}\right)} \sqrt{6073 \, \sqrt{3} + 170019} - \frac{1}{16481916497358} \cdot 118956627^{\frac{3}{4}} \sqrt{6297} {\left(229 \, \sqrt{3} \sqrt{2} x - 137 \, \sqrt{2} x\right)} \sqrt{6073 \, \sqrt{3} + 170019} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 277108 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} \sqrt{2} {\left(x^{7} + 2 \, x^{5} + 3 \, x^{3}\right)} \sqrt{6073 \, \sqrt{3} + 170019} \arctan\left(\frac{1}{295480530439458889122} \cdot 118956627^{\frac{3}{4}} \sqrt{81861} \sqrt{6297} \sqrt{-3 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} {\left(137 \, \sqrt{3} x - 687 \, x\right)} \sqrt{6073 \, \sqrt{3} + 170019} + 3926135421 \, x^{2} + 3926135421 \, \sqrt{3}} {\left(229 \, \sqrt{3} \sqrt{2} - 137 \, \sqrt{2}\right)} \sqrt{6073 \, \sqrt{3} + 170019} - \frac{1}{16481916497358} \cdot 118956627^{\frac{3}{4}} \sqrt{6297} {\left(229 \, \sqrt{3} \sqrt{2} x - 137 \, \sqrt{2} x\right)} \sqrt{6073 \, \sqrt{3} + 170019} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 118956627^{\frac{1}{4}} \sqrt{6297} {\left(6073 \, x^{7} + 12146 \, x^{5} + 18219 \, x^{3} - 56673 \, \sqrt{3} {\left(x^{7} + 2 \, x^{5} + 3 \, x^{3}\right)}\right)} \sqrt{6073 \, \sqrt{3} + 170019} \log\left(3 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} {\left(137 \, \sqrt{3} x - 687 \, x\right)} \sqrt{6073 \, \sqrt{3} + 170019} + 3926135421 \, x^{2} + 3926135421 \, \sqrt{3}\right) + 118956627^{\frac{1}{4}} \sqrt{6297} {\left(6073 \, x^{7} + 12146 \, x^{5} + 18219 \, x^{3} - 56673 \, \sqrt{3} {\left(x^{7} + 2 \, x^{5} + 3 \, x^{3}\right)}\right)} \sqrt{6073 \, \sqrt{3} + 170019} \log\left(-3 \cdot 118956627^{\frac{1}{4}} \sqrt{6297} {\left(137 \, \sqrt{3} x - 687 \, x\right)} \sqrt{6073 \, \sqrt{3} + 170019} + 3926135421 \, x^{2} + 3926135421 \, \sqrt{3}\right) + 2596484225088 \, x^{2} - 1005090667776}{2261454002496 \, {\left(x^{7} + 2 \, x^{5} + 3 \, x^{3}\right)}}"," ",0,"1/2261454002496*(2397560030424*x^6 + 3674862754056*x^4 - 277108*118956627^(1/4)*sqrt(6297)*sqrt(2)*(x^7 + 2*x^5 + 3*x^3)*sqrt(6073*sqrt(3) + 170019)*arctan(1/295480530439458889122*118956627^(3/4)*sqrt(81861)*sqrt(6297)*sqrt(3*118956627^(1/4)*sqrt(6297)*(137*sqrt(3)*x - 687*x)*sqrt(6073*sqrt(3) + 170019) + 3926135421*x^2 + 3926135421*sqrt(3))*(229*sqrt(3)*sqrt(2) - 137*sqrt(2))*sqrt(6073*sqrt(3) + 170019) - 1/16481916497358*118956627^(3/4)*sqrt(6297)*(229*sqrt(3)*sqrt(2)*x - 137*sqrt(2)*x)*sqrt(6073*sqrt(3) + 170019) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 277108*118956627^(1/4)*sqrt(6297)*sqrt(2)*(x^7 + 2*x^5 + 3*x^3)*sqrt(6073*sqrt(3) + 170019)*arctan(1/295480530439458889122*118956627^(3/4)*sqrt(81861)*sqrt(6297)*sqrt(-3*118956627^(1/4)*sqrt(6297)*(137*sqrt(3)*x - 687*x)*sqrt(6073*sqrt(3) + 170019) + 3926135421*x^2 + 3926135421*sqrt(3))*(229*sqrt(3)*sqrt(2) - 137*sqrt(2))*sqrt(6073*sqrt(3) + 170019) - 1/16481916497358*118956627^(3/4)*sqrt(6297)*(229*sqrt(3)*sqrt(2)*x - 137*sqrt(2)*x)*sqrt(6073*sqrt(3) + 170019) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 118956627^(1/4)*sqrt(6297)*(6073*x^7 + 12146*x^5 + 18219*x^3 - 56673*sqrt(3)*(x^7 + 2*x^5 + 3*x^3))*sqrt(6073*sqrt(3) + 170019)*log(3*118956627^(1/4)*sqrt(6297)*(137*sqrt(3)*x - 687*x)*sqrt(6073*sqrt(3) + 170019) + 3926135421*x^2 + 3926135421*sqrt(3)) + 118956627^(1/4)*sqrt(6297)*(6073*x^7 + 12146*x^5 + 18219*x^3 - 56673*sqrt(3)*(x^7 + 2*x^5 + 3*x^3))*sqrt(6073*sqrt(3) + 170019)*log(-3*118956627^(1/4)*sqrt(6297)*(137*sqrt(3)*x - 687*x)*sqrt(6073*sqrt(3) + 170019) + 3926135421*x^2 + 3926135421*sqrt(3)) + 2596484225088*x^2 - 1005090667776)/(x^7 + 2*x^5 + 3*x^3)","B",0
116,1,496,0,1.444719," ","integrate((5*x^6+3*x^4+x^2+4)/x^6/(x^4+2*x^2+3)^2,x, algorithm=""fricas"")","-\frac{1111136748188760 \, x^{8} + 1129389507912600 \, x^{6} + 1792421004881088 \, x^{4} - 4971380 \cdot 216699003^{\frac{1}{4}} \sqrt{2} {\left(x^{9} + 2 \, x^{7} + 3 \, x^{5}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} \arctan\left(\frac{1}{6144866223568721756453718} \, \sqrt{704195977} 216699003^{\frac{3}{4}} \sqrt{57039874137 \, x^{2} + 216699003^{\frac{1}{4}} {\left(463 \, \sqrt{3} x + 1461 \, x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} + 57039874137 \, \sqrt{3}} {\left(487 \, \sqrt{3} \sqrt{2} + 463 \, \sqrt{2}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} - \frac{1}{969563780580726} \cdot 216699003^{\frac{3}{4}} {\left(487 \, \sqrt{3} \sqrt{2} x + 463 \, \sqrt{2} x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 4971380 \cdot 216699003^{\frac{1}{4}} \sqrt{2} {\left(x^{9} + 2 \, x^{7} + 3 \, x^{5}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} \arctan\left(\frac{1}{6144866223568721756453718} \, \sqrt{704195977} 216699003^{\frac{3}{4}} \sqrt{57039874137 \, x^{2} - 216699003^{\frac{1}{4}} {\left(463 \, \sqrt{3} x + 1461 \, x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} + 57039874137 \, \sqrt{3}} {\left(487 \, \sqrt{3} \sqrt{2} + 463 \, \sqrt{2}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} - \frac{1}{969563780580726} \cdot 216699003^{\frac{3}{4}} {\left(487 \, \sqrt{3} \sqrt{2} x + 463 \, \sqrt{2} x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 5 \cdot 216699003^{\frac{1}{4}} {\left(1139381 \, x^{9} + 2278762 \, x^{7} + 3418143 \, x^{5} + 688419 \, \sqrt{3} {\left(x^{9} + 2 \, x^{7} + 3 \, x^{5}\right)}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} \log\left(57039874137 \, x^{2} + 216699003^{\frac{1}{4}} {\left(463 \, \sqrt{3} x + 1461 \, x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} + 57039874137 \, \sqrt{3}\right) + 5 \cdot 216699003^{\frac{1}{4}} {\left(1139381 \, x^{9} + 2278762 \, x^{7} + 3418143 \, x^{5} + 688419 \, \sqrt{3} {\left(x^{9} + 2 \, x^{7} + 3 \, x^{5}\right)}\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} \log\left(57039874137 \, x^{2} - 216699003^{\frac{1}{4}} {\left(463 \, \sqrt{3} x + 1461 \, x\right)} \sqrt{-784371528639 \, \sqrt{3} + 1421762158683} + 57039874137 \, \sqrt{3}\right) - 449017889206464 \, x^{2} + 394259610034944}{1478473537631040 \, {\left(x^{9} + 2 \, x^{7} + 3 \, x^{5}\right)}}"," ",0,"-1/1478473537631040*(1111136748188760*x^8 + 1129389507912600*x^6 + 1792421004881088*x^4 - 4971380*216699003^(1/4)*sqrt(2)*(x^9 + 2*x^7 + 3*x^5)*sqrt(-784371528639*sqrt(3) + 1421762158683)*arctan(1/6144866223568721756453718*sqrt(704195977)*216699003^(3/4)*sqrt(57039874137*x^2 + 216699003^(1/4)*(463*sqrt(3)*x + 1461*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) + 57039874137*sqrt(3))*(487*sqrt(3)*sqrt(2) + 463*sqrt(2))*sqrt(-784371528639*sqrt(3) + 1421762158683) - 1/969563780580726*216699003^(3/4)*(487*sqrt(3)*sqrt(2)*x + 463*sqrt(2)*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 4971380*216699003^(1/4)*sqrt(2)*(x^9 + 2*x^7 + 3*x^5)*sqrt(-784371528639*sqrt(3) + 1421762158683)*arctan(1/6144866223568721756453718*sqrt(704195977)*216699003^(3/4)*sqrt(57039874137*x^2 - 216699003^(1/4)*(463*sqrt(3)*x + 1461*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) + 57039874137*sqrt(3))*(487*sqrt(3)*sqrt(2) + 463*sqrt(2))*sqrt(-784371528639*sqrt(3) + 1421762158683) - 1/969563780580726*216699003^(3/4)*(487*sqrt(3)*sqrt(2)*x + 463*sqrt(2)*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 5*216699003^(1/4)*(1139381*x^9 + 2278762*x^7 + 3418143*x^5 + 688419*sqrt(3)*(x^9 + 2*x^7 + 3*x^5))*sqrt(-784371528639*sqrt(3) + 1421762158683)*log(57039874137*x^2 + 216699003^(1/4)*(463*sqrt(3)*x + 1461*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) + 57039874137*sqrt(3)) + 5*216699003^(1/4)*(1139381*x^9 + 2278762*x^7 + 3418143*x^5 + 688419*sqrt(3)*(x^9 + 2*x^7 + 3*x^5))*sqrt(-784371528639*sqrt(3) + 1421762158683)*log(57039874137*x^2 - 216699003^(1/4)*(463*sqrt(3)*x + 1461*x)*sqrt(-784371528639*sqrt(3) + 1421762158683) + 57039874137*sqrt(3)) - 449017889206464*x^2 + 394259610034944)/(x^9 + 2*x^7 + 3*x^5)","B",0
117,1,561,0,1.355140," ","integrate(x^10*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{18808834881088512 \, x^{13} - 94044174405442560 \, x^{11} + 601882716194832384 \, x^{9} + 2970620359031916864 \, x^{7} + 10166469141273357744 \, x^{5} + 57410392 \cdot 2183743218123^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} \arctan\left(\frac{1}{863545621466021963404537403089353} \, \sqrt{6122667604521} 2183743218123^{\frac{3}{4}} \sqrt{55104008440689 \, x^{2} + 2183743218123^{\frac{1}{4}} {\left(148 \, \sqrt{3} \sqrt{2} x + 4647 \, \sqrt{2} x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} + 55104008440689 \, \sqrt{3}} {\left(1549 \, \sqrt{3} + 148\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} - \frac{1}{47013582817418600331} \cdot 2183743218123^{\frac{3}{4}} {\left(1549 \, \sqrt{3} x + 148 \, x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 57410392 \cdot 2183743218123^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} \arctan\left(\frac{1}{863545621466021963404537403089353} \, \sqrt{6122667604521} 2183743218123^{\frac{3}{4}} \sqrt{55104008440689 \, x^{2} - 2183743218123^{\frac{1}{4}} {\left(148 \, \sqrt{3} \sqrt{2} x + 4647 \, \sqrt{2} x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} + 55104008440689 \, \sqrt{3}} {\left(1549 \, \sqrt{3} + 148\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} - \frac{1}{47013582817418600331} \cdot 2183743218123^{\frac{3}{4}} {\left(1549 \, \sqrt{3} x + 148 \, x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 13526491159952810208 \, x^{3} - 2183743218123^{\frac{1}{4}} {\left(8595619 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 23035833 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} \log\left(55104008440689 \, x^{2} + 2183743218123^{\frac{1}{4}} {\left(148 \, \sqrt{3} \sqrt{2} x + 4647 \, \sqrt{2} x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} + 55104008440689 \, \sqrt{3}\right) + 2183743218123^{\frac{1}{4}} {\left(8595619 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 23035833 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} \log\left(55104008440689 \, x^{2} - 2183743218123^{\frac{1}{4}} {\left(148 \, \sqrt{3} \sqrt{2} x + 4647 \, \sqrt{2} x\right)} \sqrt{-66002414605209 \, \sqrt{3} + 176883200667963} + 55104008440689 \, \sqrt{3}\right) + 12291279706746325584 \, x}{18808834881088512 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"1/18808834881088512*(18808834881088512*x^13 - 94044174405442560*x^11 + 601882716194832384*x^9 + 2970620359031916864*x^7 + 10166469141273357744*x^5 + 57410392*2183743218123^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-66002414605209*sqrt(3) + 176883200667963)*arctan(1/863545621466021963404537403089353*sqrt(6122667604521)*2183743218123^(3/4)*sqrt(55104008440689*x^2 + 2183743218123^(1/4)*(148*sqrt(3)*sqrt(2)*x + 4647*sqrt(2)*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) + 55104008440689*sqrt(3))*(1549*sqrt(3) + 148)*sqrt(-66002414605209*sqrt(3) + 176883200667963) - 1/47013582817418600331*2183743218123^(3/4)*(1549*sqrt(3)*x + 148*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 57410392*2183743218123^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-66002414605209*sqrt(3) + 176883200667963)*arctan(1/863545621466021963404537403089353*sqrt(6122667604521)*2183743218123^(3/4)*sqrt(55104008440689*x^2 - 2183743218123^(1/4)*(148*sqrt(3)*sqrt(2)*x + 4647*sqrt(2)*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) + 55104008440689*sqrt(3))*(1549*sqrt(3) + 148)*sqrt(-66002414605209*sqrt(3) + 176883200667963) - 1/47013582817418600331*2183743218123^(3/4)*(1549*sqrt(3)*x + 148*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 13526491159952810208*x^3 - 2183743218123^(1/4)*(8595619*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 23035833*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(-66002414605209*sqrt(3) + 176883200667963)*log(55104008440689*x^2 + 2183743218123^(1/4)*(148*sqrt(3)*sqrt(2)*x + 4647*sqrt(2)*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) + 55104008440689*sqrt(3)) + 2183743218123^(1/4)*(8595619*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 23035833*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(-66002414605209*sqrt(3) + 176883200667963)*log(55104008440689*x^2 - 2183743218123^(1/4)*(148*sqrt(3)*sqrt(2)*x + 4647*sqrt(2)*x)*sqrt(-66002414605209*sqrt(3) + 176883200667963) + 55104008440689*sqrt(3)) + 12291279706746325584*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
118,1,557,0,1.380356," ","integrate(x^8*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{1591298862080 \, x^{11} - 19413846117376 \, x^{9} - 99660064046704 \, x^{7} - 285508852710816 \, x^{5} - 2298072 \cdot 1548731523^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} \arctan\left(\frac{1}{19753021371716480527209} \cdot 1548731523^{\frac{3}{4}} \sqrt{932401677} \sqrt{932401677 \, x^{2} + 1548731523^{\frac{1}{4}} {\left(137 \, \sqrt{3} \sqrt{2} x - 312 \, \sqrt{2} x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} + 932401677 \, \sqrt{3}} \sqrt{778671391 \, \sqrt{3} + 1548731523} {\left(104 \, \sqrt{3} - 137\right)} - \frac{1}{21185098503117} \cdot 1548731523^{\frac{3}{4}} {\left(104 \, \sqrt{3} x - 137 \, x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 2298072 \cdot 1548731523^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} \arctan\left(\frac{1}{19753021371716480527209} \cdot 1548731523^{\frac{3}{4}} \sqrt{932401677} \sqrt{932401677 \, x^{2} - 1548731523^{\frac{1}{4}} {\left(137 \, \sqrt{3} \sqrt{2} x - 312 \, \sqrt{2} x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} + 932401677 \, \sqrt{3}} \sqrt{778671391 \, \sqrt{3} + 1548731523} {\left(104 \, \sqrt{3} - 137\right)} - \frac{1}{21185098503117} \cdot 1548731523^{\frac{3}{4}} {\left(104 \, \sqrt{3} x - 137 \, x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 368738756006544 \, x^{3} + 21 \cdot 1548731523^{\frac{1}{4}} {\left(34271 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} - 68163 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} \log\left(932401677 \, x^{2} + 1548731523^{\frac{1}{4}} {\left(137 \, \sqrt{3} \sqrt{2} x - 312 \, \sqrt{2} x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} + 932401677 \, \sqrt{3}\right) - 21 \cdot 1548731523^{\frac{1}{4}} {\left(34271 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} - 68163 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} \log\left(932401677 \, x^{2} - 1548731523^{\frac{1}{4}} {\left(137 \, \sqrt{3} \sqrt{2} x - 312 \, \sqrt{2} x\right)} \sqrt{778671391 \, \sqrt{3} + 1548731523} + 932401677 \, \sqrt{3}\right) - 293236597809792 \, x}{954779317248 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"1/954779317248*(1591298862080*x^11 - 19413846117376*x^9 - 99660064046704*x^7 - 285508852710816*x^5 - 2298072*1548731523^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(778671391*sqrt(3) + 1548731523)*arctan(1/19753021371716480527209*1548731523^(3/4)*sqrt(932401677)*sqrt(932401677*x^2 + 1548731523^(1/4)*(137*sqrt(3)*sqrt(2)*x - 312*sqrt(2)*x)*sqrt(778671391*sqrt(3) + 1548731523) + 932401677*sqrt(3))*sqrt(778671391*sqrt(3) + 1548731523)*(104*sqrt(3) - 137) - 1/21185098503117*1548731523^(3/4)*(104*sqrt(3)*x - 137*x)*sqrt(778671391*sqrt(3) + 1548731523) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 2298072*1548731523^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(778671391*sqrt(3) + 1548731523)*arctan(1/19753021371716480527209*1548731523^(3/4)*sqrt(932401677)*sqrt(932401677*x^2 - 1548731523^(1/4)*(137*sqrt(3)*sqrt(2)*x - 312*sqrt(2)*x)*sqrt(778671391*sqrt(3) + 1548731523) + 932401677*sqrt(3))*sqrt(778671391*sqrt(3) + 1548731523)*(104*sqrt(3) - 137) - 1/21185098503117*1548731523^(3/4)*(104*sqrt(3)*x - 137*x)*sqrt(778671391*sqrt(3) + 1548731523) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 368738756006544*x^3 + 21*1548731523^(1/4)*(34271*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) - 68163*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(778671391*sqrt(3) + 1548731523)*log(932401677*x^2 + 1548731523^(1/4)*(137*sqrt(3)*sqrt(2)*x - 312*sqrt(2)*x)*sqrt(778671391*sqrt(3) + 1548731523) + 932401677*sqrt(3)) - 21*1548731523^(1/4)*(34271*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) - 68163*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(778671391*sqrt(3) + 1548731523)*log(932401677*x^2 - 1548731523^(1/4)*(137*sqrt(3)*sqrt(2)*x - 312*sqrt(2)*x)*sqrt(778671391*sqrt(3) + 1548731523) + 932401677*sqrt(3)) - 293236597809792*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
119,1,551,0,1.389290," ","integrate(x^6*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{23795867690357760 \, x^{9} + 125374477893572448 \, x^{7} + 304066571830852752 \, x^{5} - 10534088 \cdot 4152675581883^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} \arctan\left(\frac{1}{8471206900375217227324302495633} \cdot 4152675581883^{\frac{3}{4}} \sqrt{516403378697} \sqrt{4647630408273 \, x^{2} + 4152675581883^{\frac{1}{4}} {\left(1322 \, \sqrt{3} \sqrt{2} x - 1137 \, \sqrt{2} x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} + 4647630408273 \, \sqrt{3}} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} {\left(379 \, \sqrt{3} - 1322\right)} - \frac{1}{5468081251875840963} \cdot 4152675581883^{\frac{3}{4}} {\left(379 \, \sqrt{3} x - 1322 \, x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 10534088 \cdot 4152675581883^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} \arctan\left(\frac{1}{8471206900375217227324302495633} \cdot 4152675581883^{\frac{3}{4}} \sqrt{516403378697} \sqrt{4647630408273 \, x^{2} - 4152675581883^{\frac{1}{4}} {\left(1322 \, \sqrt{3} \sqrt{2} x - 1137 \, \sqrt{2} x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} + 4647630408273 \, \sqrt{3}} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} {\left(379 \, \sqrt{3} - 1322\right)} - \frac{1}{5468081251875840963} \cdot 4152675581883^{\frac{3}{4}} {\left(379 \, \sqrt{3} x - 1322 \, x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 380138986353465216 \, x^{3} - 4152675581883^{\frac{1}{4}} {\left(827621 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} - 3529593 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} \log\left(4647630408273 \, x^{2} + 4152675581883^{\frac{1}{4}} {\left(1322 \, \sqrt{3} \sqrt{2} x - 1137 \, \sqrt{2} x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} + 4647630408273 \, \sqrt{3}\right) + 4152675581883^{\frac{1}{4}} {\left(827621 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} - 3529593 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} \log\left(4647630408273 \, x^{2} - 4152675581883^{\frac{1}{4}} {\left(1322 \, \sqrt{3} \sqrt{2} x - 1137 \, \sqrt{2} x\right)} \sqrt{973721762751 \, \sqrt{3} + 4152675581883} + 4647630408273 \, \sqrt{3}\right) + 253649077161907248 \, x}{4759173538071552 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"1/4759173538071552*(23795867690357760*x^9 + 125374477893572448*x^7 + 304066571830852752*x^5 - 10534088*4152675581883^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(973721762751*sqrt(3) + 4152675581883)*arctan(1/8471206900375217227324302495633*4152675581883^(3/4)*sqrt(516403378697)*sqrt(4647630408273*x^2 + 4152675581883^(1/4)*(1322*sqrt(3)*sqrt(2)*x - 1137*sqrt(2)*x)*sqrt(973721762751*sqrt(3) + 4152675581883) + 4647630408273*sqrt(3))*sqrt(973721762751*sqrt(3) + 4152675581883)*(379*sqrt(3) - 1322) - 1/5468081251875840963*4152675581883^(3/4)*(379*sqrt(3)*x - 1322*x)*sqrt(973721762751*sqrt(3) + 4152675581883) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 10534088*4152675581883^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(973721762751*sqrt(3) + 4152675581883)*arctan(1/8471206900375217227324302495633*4152675581883^(3/4)*sqrt(516403378697)*sqrt(4647630408273*x^2 - 4152675581883^(1/4)*(1322*sqrt(3)*sqrt(2)*x - 1137*sqrt(2)*x)*sqrt(973721762751*sqrt(3) + 4152675581883) + 4647630408273*sqrt(3))*sqrt(973721762751*sqrt(3) + 4152675581883)*(379*sqrt(3) - 1322) - 1/5468081251875840963*4152675581883^(3/4)*(379*sqrt(3)*x - 1322*x)*sqrt(973721762751*sqrt(3) + 4152675581883) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 380138986353465216*x^3 - 4152675581883^(1/4)*(827621*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) - 3529593*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(973721762751*sqrt(3) + 4152675581883)*log(4647630408273*x^2 + 4152675581883^(1/4)*(1322*sqrt(3)*sqrt(2)*x - 1137*sqrt(2)*x)*sqrt(973721762751*sqrt(3) + 4152675581883) + 4647630408273*sqrt(3)) + 4152675581883^(1/4)*(827621*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) - 3529593*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(973721762751*sqrt(3) + 4152675581883)*log(4647630408273*x^2 - 4152675581883^(1/4)*(1322*sqrt(3)*sqrt(2)*x - 1137*sqrt(2)*x)*sqrt(973721762751*sqrt(3) + 4152675581883) + 4647630408273*sqrt(3)) + 253649077161907248*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
120,1,546,0,1.401737," ","integrate(x^4*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","-\frac{1914264223824 \, x^{7} - 3893418760320 \, x^{5} + 164728 \cdot 29095522083^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} \arctan\left(\frac{1}{1214880276996365518761363} \cdot 29095522083^{\frac{3}{4}} \sqrt{2027822271} \sqrt{2027822271 \, x^{2} + 29095522083^{\frac{1}{4}} {\left(87 \, \sqrt{3} \sqrt{2} x + 46 \, \sqrt{2} x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} + 2027822271 \, \sqrt{3}} {\left(46 \, \sqrt{3} + 261\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} - \frac{1}{599105895211053} \cdot 29095522083^{\frac{3}{4}} {\left(46 \, \sqrt{3} x + 261 \, x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 164728 \cdot 29095522083^{\frac{1}{4}} \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} \arctan\left(\frac{1}{1214880276996365518761363} \cdot 29095522083^{\frac{3}{4}} \sqrt{2027822271} \sqrt{2027822271 \, x^{2} - 29095522083^{\frac{1}{4}} {\left(87 \, \sqrt{3} \sqrt{2} x + 46 \, \sqrt{2} x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} + 2027822271 \, \sqrt{3}} {\left(46 \, \sqrt{3} + 261\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} - \frac{1}{599105895211053} \cdot 29095522083^{\frac{3}{4}} {\left(46 \, \sqrt{3} x + 261 \, x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 6456586110864 \, x^{3} + 29095522083^{\frac{1}{4}} {\left(48835 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 98481 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} \log\left(2027822271 \, x^{2} + 29095522083^{\frac{1}{4}} {\left(87 \, \sqrt{3} \sqrt{2} x + 46 \, \sqrt{2} x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} + 2027822271 \, \sqrt{3}\right) - 29095522083^{\frac{1}{4}} {\left(48835 \, \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 98481 \, \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} \log\left(2027822271 \, x^{2} - 29095522083^{\frac{1}{4}} {\left(87 \, \sqrt{3} \sqrt{2} x + 46 \, \sqrt{2} x\right)} \sqrt{-1603106545 \, \sqrt{3} + 3232835787} + 2027822271 \, \sqrt{3}\right) - 13432294723104 \, x}{2076490005504 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"-1/2076490005504*(1914264223824*x^7 - 3893418760320*x^5 + 164728*29095522083^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1603106545*sqrt(3) + 3232835787)*arctan(1/1214880276996365518761363*29095522083^(3/4)*sqrt(2027822271)*sqrt(2027822271*x^2 + 29095522083^(1/4)*(87*sqrt(3)*sqrt(2)*x + 46*sqrt(2)*x)*sqrt(-1603106545*sqrt(3) + 3232835787) + 2027822271*sqrt(3))*(46*sqrt(3) + 261)*sqrt(-1603106545*sqrt(3) + 3232835787) - 1/599105895211053*29095522083^(3/4)*(46*sqrt(3)*x + 261*x)*sqrt(-1603106545*sqrt(3) + 3232835787) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 164728*29095522083^(1/4)*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1603106545*sqrt(3) + 3232835787)*arctan(1/1214880276996365518761363*29095522083^(3/4)*sqrt(2027822271)*sqrt(2027822271*x^2 - 29095522083^(1/4)*(87*sqrt(3)*sqrt(2)*x + 46*sqrt(2)*x)*sqrt(-1603106545*sqrt(3) + 3232835787) + 2027822271*sqrt(3))*(46*sqrt(3) + 261)*sqrt(-1603106545*sqrt(3) + 3232835787) - 1/599105895211053*29095522083^(3/4)*(46*sqrt(3)*x + 261*x)*sqrt(-1603106545*sqrt(3) + 3232835787) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 6456586110864*x^3 + 29095522083^(1/4)*(48835*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 98481*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(-1603106545*sqrt(3) + 3232835787)*log(2027822271*x^2 + 29095522083^(1/4)*(87*sqrt(3)*sqrt(2)*x + 46*sqrt(2)*x)*sqrt(-1603106545*sqrt(3) + 3232835787) + 2027822271*sqrt(3)) - 29095522083^(1/4)*(48835*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 98481*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9))*sqrt(-1603106545*sqrt(3) + 3232835787)*log(2027822271*x^2 - 29095522083^(1/4)*(87*sqrt(3)*sqrt(2)*x + 46*sqrt(2)*x)*sqrt(-1603106545*sqrt(3) + 3232835787) + 2027822271*sqrt(3)) - 13432294723104*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
121,1,570,0,1.352384," ","integrate(x^2*(5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","-\frac{12811392 \, x^{7} + 77013936 \, x^{5} + 1348 \, \sqrt{6} 3^{\frac{3}{4}} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} \arctan\left(\frac{1}{2226179538} \, \sqrt{3707} \sqrt{6} 3^{\frac{3}{4}} \sqrt{\sqrt{6} 3^{\frac{1}{4}} {\left(8 \, \sqrt{3} x + 23 \, x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} + 33363 \, x^{2} + 33363 \, \sqrt{3}} {\left(23 \, \sqrt{3} \sqrt{2} + 24 \, \sqrt{2}\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} - \frac{1}{200178} \, \sqrt{6} 3^{\frac{3}{4}} {\left(23 \, \sqrt{3} \sqrt{2} x + 24 \, \sqrt{2} x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 1348 \, \sqrt{6} 3^{\frac{3}{4}} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} \arctan\left(\frac{1}{2226179538} \, \sqrt{3707} \sqrt{6} 3^{\frac{3}{4}} \sqrt{-\sqrt{6} 3^{\frac{1}{4}} {\left(8 \, \sqrt{3} x + 23 \, x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} + 33363 \, x^{2} + 33363 \, \sqrt{3}} {\left(23 \, \sqrt{3} \sqrt{2} + 24 \, \sqrt{2}\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} - \frac{1}{200178} \, \sqrt{6} 3^{\frac{3}{4}} {\left(23 \, \sqrt{3} \sqrt{2} x + 24 \, \sqrt{2} x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - \sqrt{6} 3^{\frac{1}{4}} {\left(3267 \, x^{8} + 13068 \, x^{6} + 32670 \, x^{4} + 39204 \, x^{2} + 1825 \, \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 29403\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} \log\left(\sqrt{6} 3^{\frac{1}{4}} {\left(8 \, \sqrt{3} x + 23 \, x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} + 33363 \, x^{2} + 33363 \, \sqrt{3}\right) + \sqrt{6} 3^{\frac{1}{4}} {\left(3267 \, x^{8} + 13068 \, x^{6} + 32670 \, x^{4} + 39204 \, x^{2} + 1825 \, \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 29403\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} \log\left(-\sqrt{6} 3^{\frac{1}{4}} {\left(8 \, \sqrt{3} x + 23 \, x\right)} \sqrt{-1987425 \, \sqrt{3} + 3557763} + 33363 \, x^{2} + 33363 \, \sqrt{3}\right) + 97541280 \, x^{3} + 110498256 \, x}{27952128 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"-1/27952128*(12811392*x^7 + 77013936*x^5 + 1348*sqrt(6)*3^(3/4)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1987425*sqrt(3) + 3557763)*arctan(1/2226179538*sqrt(3707)*sqrt(6)*3^(3/4)*sqrt(sqrt(6)*3^(1/4)*(8*sqrt(3)*x + 23*x)*sqrt(-1987425*sqrt(3) + 3557763) + 33363*x^2 + 33363*sqrt(3))*(23*sqrt(3)*sqrt(2) + 24*sqrt(2))*sqrt(-1987425*sqrt(3) + 3557763) - 1/200178*sqrt(6)*3^(3/4)*(23*sqrt(3)*sqrt(2)*x + 24*sqrt(2)*x)*sqrt(-1987425*sqrt(3) + 3557763) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 1348*sqrt(6)*3^(3/4)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1987425*sqrt(3) + 3557763)*arctan(1/2226179538*sqrt(3707)*sqrt(6)*3^(3/4)*sqrt(-sqrt(6)*3^(1/4)*(8*sqrt(3)*x + 23*x)*sqrt(-1987425*sqrt(3) + 3557763) + 33363*x^2 + 33363*sqrt(3))*(23*sqrt(3)*sqrt(2) + 24*sqrt(2))*sqrt(-1987425*sqrt(3) + 3557763) - 1/200178*sqrt(6)*3^(3/4)*(23*sqrt(3)*sqrt(2)*x + 24*sqrt(2)*x)*sqrt(-1987425*sqrt(3) + 3557763) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - sqrt(6)*3^(1/4)*(3267*x^8 + 13068*x^6 + 32670*x^4 + 39204*x^2 + 1825*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 29403)*sqrt(-1987425*sqrt(3) + 3557763)*log(sqrt(6)*3^(1/4)*(8*sqrt(3)*x + 23*x)*sqrt(-1987425*sqrt(3) + 3557763) + 33363*x^2 + 33363*sqrt(3)) + sqrt(6)*3^(1/4)*(3267*x^8 + 13068*x^6 + 32670*x^4 + 39204*x^2 + 1825*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 29403)*sqrt(-1987425*sqrt(3) + 3557763)*log(-sqrt(6)*3^(1/4)*(8*sqrt(3)*x + 23*x)*sqrt(-1987425*sqrt(3) + 3557763) + 33363*x^2 + 33363*sqrt(3)) + 97541280*x^3 + 110498256*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
122,1,576,0,1.335107," ","integrate((5*x^6+3*x^4+x^2+4)/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{2122829712 \, x^{7} + 6909602592 \, x^{5} - 3404 \cdot 3115083^{\frac{1}{4}} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} \arctan\left(\frac{1}{41378565634793586} \cdot 3115083^{\frac{3}{4}} \sqrt{2601507} \sqrt{6} \sqrt{3115083^{\frac{1}{4}} \sqrt{6} {\left(17 \, \sqrt{3} x + 4 \, x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} + 2601507 \, x^{2} + 2601507 \, \sqrt{3}} {\left(4 \, \sqrt{3} \sqrt{2} + 51 \, \sqrt{2}\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} - \frac{1}{15905613798} \cdot 3115083^{\frac{3}{4}} \sqrt{6} {\left(4 \, \sqrt{3} \sqrt{2} x + 51 \, \sqrt{2} x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) - 3404 \cdot 3115083^{\frac{1}{4}} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} \arctan\left(\frac{1}{41378565634793586} \cdot 3115083^{\frac{3}{4}} \sqrt{2601507} \sqrt{6} \sqrt{-3115083^{\frac{1}{4}} \sqrt{6} {\left(17 \, \sqrt{3} x + 4 \, x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} + 2601507 \, x^{2} + 2601507 \, \sqrt{3}} {\left(4 \, \sqrt{3} \sqrt{2} + 51 \, \sqrt{2}\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} - \frac{1}{15905613798} \cdot 3115083^{\frac{3}{4}} \sqrt{6} {\left(4 \, \sqrt{3} \sqrt{2} x + 51 \, \sqrt{2} x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) - 3115083^{\frac{1}{4}} \sqrt{6} {\left(3057 \, x^{8} + 12228 \, x^{6} + 30570 \, x^{4} + 36684 \, x^{2} + 1291 \, \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 27513\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} \log\left(3115083^{\frac{1}{4}} \sqrt{6} {\left(17 \, \sqrt{3} x + 4 \, x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} + 2601507 \, x^{2} + 2601507 \, \sqrt{3}\right) + 3115083^{\frac{1}{4}} \sqrt{6} {\left(3057 \, x^{8} + 12228 \, x^{6} + 30570 \, x^{4} + 36684 \, x^{2} + 1291 \, \sqrt{3} {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)} + 27513\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} \log\left(-3115083^{\frac{1}{4}} \sqrt{6} {\left(17 \, \sqrt{3} x + 4 \, x\right)} \sqrt{-1315529 \, \sqrt{3} + 3115083} + 2601507 \, x^{2} + 2601507 \, \sqrt{3}\right) + 7533964272 \, x^{3} + 12154240704 \, x}{7991829504 \, {\left(x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9\right)}}"," ",0,"1/7991829504*(2122829712*x^7 + 6909602592*x^5 - 3404*3115083^(1/4)*sqrt(6)*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1315529*sqrt(3) + 3115083)*arctan(1/41378565634793586*3115083^(3/4)*sqrt(2601507)*sqrt(6)*sqrt(3115083^(1/4)*sqrt(6)*(17*sqrt(3)*x + 4*x)*sqrt(-1315529*sqrt(3) + 3115083) + 2601507*x^2 + 2601507*sqrt(3))*(4*sqrt(3)*sqrt(2) + 51*sqrt(2))*sqrt(-1315529*sqrt(3) + 3115083) - 1/15905613798*3115083^(3/4)*sqrt(6)*(4*sqrt(3)*sqrt(2)*x + 51*sqrt(2)*x)*sqrt(-1315529*sqrt(3) + 3115083) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) - 3404*3115083^(1/4)*sqrt(6)*sqrt(3)*sqrt(2)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)*sqrt(-1315529*sqrt(3) + 3115083)*arctan(1/41378565634793586*3115083^(3/4)*sqrt(2601507)*sqrt(6)*sqrt(-3115083^(1/4)*sqrt(6)*(17*sqrt(3)*x + 4*x)*sqrt(-1315529*sqrt(3) + 3115083) + 2601507*x^2 + 2601507*sqrt(3))*(4*sqrt(3)*sqrt(2) + 51*sqrt(2))*sqrt(-1315529*sqrt(3) + 3115083) - 1/15905613798*3115083^(3/4)*sqrt(6)*(4*sqrt(3)*sqrt(2)*x + 51*sqrt(2)*x)*sqrt(-1315529*sqrt(3) + 3115083) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) - 3115083^(1/4)*sqrt(6)*(3057*x^8 + 12228*x^6 + 30570*x^4 + 36684*x^2 + 1291*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 27513)*sqrt(-1315529*sqrt(3) + 3115083)*log(3115083^(1/4)*sqrt(6)*(17*sqrt(3)*x + 4*x)*sqrt(-1315529*sqrt(3) + 3115083) + 2601507*x^2 + 2601507*sqrt(3)) + 3115083^(1/4)*sqrt(6)*(3057*x^8 + 12228*x^6 + 30570*x^4 + 36684*x^2 + 1291*sqrt(3)*(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9) + 27513)*sqrt(-1315529*sqrt(3) + 3115083)*log(-3115083^(1/4)*sqrt(6)*(17*sqrt(3)*x + 4*x)*sqrt(-1315529*sqrt(3) + 3115083) + 2601507*x^2 + 2601507*sqrt(3)) + 7533964272*x^3 + 12154240704*x)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","B",0
123,1,630,0,1.387099," ","integrate((5*x^6+3*x^4+x^2+4)/x^2/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","-\frac{858518351136 \, x^{8} + 3159968147856 \, x^{6} + 210956 \cdot 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{9} + 4 \, x^{7} + 10 \, x^{5} + 12 \, x^{3} + 9 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} \arctan\left(\frac{1}{15811665652336538898} \, \sqrt{11971753} 1391283^{\frac{3}{4}} \sqrt{681} \sqrt{6} \sqrt{1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(166 \, \sqrt{3} x - 173 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} + 107745777 \, x^{2} + 107745777 \, \sqrt{3}} {\left(173 \, \sqrt{3} \sqrt{2} - 498 \, \sqrt{2}\right)} \sqrt{59711 \, \sqrt{3} + 165483} - \frac{1}{440249244822} \cdot 1391283^{\frac{3}{4}} \sqrt{681} \sqrt{6} {\left(173 \, \sqrt{3} \sqrt{2} x - 498 \, \sqrt{2} x\right)} \sqrt{59711 \, \sqrt{3} + 165483} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 210956 \cdot 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{9} + 4 \, x^{7} + 10 \, x^{5} + 12 \, x^{3} + 9 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} \arctan\left(\frac{1}{47434996957009616694} \, \sqrt{11971753} 1391283^{\frac{3}{4}} \sqrt{681} \sqrt{6} \sqrt{-9 \cdot 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(166 \, \sqrt{3} x - 173 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} + 969711993 \, x^{2} + 969711993 \, \sqrt{3}} {\left(173 \, \sqrt{3} \sqrt{2} - 498 \, \sqrt{2}\right)} \sqrt{59711 \, \sqrt{3} + 165483} - \frac{1}{440249244822} \cdot 1391283^{\frac{3}{4}} \sqrt{681} \sqrt{6} {\left(173 \, \sqrt{3} \sqrt{2} x - 498 \, \sqrt{2} x\right)} \sqrt{59711 \, \sqrt{3} + 165483} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 7302577781952 \, x^{4} - 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(165483 \, x^{9} + 661932 \, x^{7} + 1654830 \, x^{5} + 1985796 \, x^{3} - 59711 \, \sqrt{3} {\left(x^{9} + 4 \, x^{7} + 10 \, x^{5} + 12 \, x^{3} + 9 \, x\right)} + 1489347 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} \log\left(9 \cdot 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(166 \, \sqrt{3} x - 173 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} + 969711993 \, x^{2} + 969711993 \, \sqrt{3}\right) + 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(165483 \, x^{9} + 661932 \, x^{7} + 1654830 \, x^{5} + 1985796 \, x^{3} - 59711 \, \sqrt{3} {\left(x^{9} + 4 \, x^{7} + 10 \, x^{5} + 12 \, x^{3} + 9 \, x\right)} + 1489347 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} \log\left(-9 \cdot 1391283^{\frac{1}{4}} \sqrt{681} \sqrt{6} {\left(166 \, \sqrt{3} x - 173 \, x\right)} \sqrt{59711 \, \sqrt{3} + 165483} + 969711993 \, x^{2} + 969711993 \, \sqrt{3}\right) + 9562653200304 \, x^{2} + 3971940323328}{2978955242496 \, {\left(x^{9} + 4 \, x^{7} + 10 \, x^{5} + 12 \, x^{3} + 9 \, x\right)}}"," ",0,"-1/2978955242496*(858518351136*x^8 + 3159968147856*x^6 + 210956*1391283^(1/4)*sqrt(681)*sqrt(6)*sqrt(3)*sqrt(2)*(x^9 + 4*x^7 + 10*x^5 + 12*x^3 + 9*x)*sqrt(59711*sqrt(3) + 165483)*arctan(1/15811665652336538898*sqrt(11971753)*1391283^(3/4)*sqrt(681)*sqrt(6)*sqrt(1391283^(1/4)*sqrt(681)*sqrt(6)*(166*sqrt(3)*x - 173*x)*sqrt(59711*sqrt(3) + 165483) + 107745777*x^2 + 107745777*sqrt(3))*(173*sqrt(3)*sqrt(2) - 498*sqrt(2))*sqrt(59711*sqrt(3) + 165483) - 1/440249244822*1391283^(3/4)*sqrt(681)*sqrt(6)*(173*sqrt(3)*sqrt(2)*x - 498*sqrt(2)*x)*sqrt(59711*sqrt(3) + 165483) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 210956*1391283^(1/4)*sqrt(681)*sqrt(6)*sqrt(3)*sqrt(2)*(x^9 + 4*x^7 + 10*x^5 + 12*x^3 + 9*x)*sqrt(59711*sqrt(3) + 165483)*arctan(1/47434996957009616694*sqrt(11971753)*1391283^(3/4)*sqrt(681)*sqrt(6)*sqrt(-9*1391283^(1/4)*sqrt(681)*sqrt(6)*(166*sqrt(3)*x - 173*x)*sqrt(59711*sqrt(3) + 165483) + 969711993*x^2 + 969711993*sqrt(3))*(173*sqrt(3)*sqrt(2) - 498*sqrt(2))*sqrt(59711*sqrt(3) + 165483) - 1/440249244822*1391283^(3/4)*sqrt(681)*sqrt(6)*(173*sqrt(3)*sqrt(2)*x - 498*sqrt(2)*x)*sqrt(59711*sqrt(3) + 165483) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 7302577781952*x^4 - 1391283^(1/4)*sqrt(681)*sqrt(6)*(165483*x^9 + 661932*x^7 + 1654830*x^5 + 1985796*x^3 - 59711*sqrt(3)*(x^9 + 4*x^7 + 10*x^5 + 12*x^3 + 9*x) + 1489347*x)*sqrt(59711*sqrt(3) + 165483)*log(9*1391283^(1/4)*sqrt(681)*sqrt(6)*(166*sqrt(3)*x - 173*x)*sqrt(59711*sqrt(3) + 165483) + 969711993*x^2 + 969711993*sqrt(3)) + 1391283^(1/4)*sqrt(681)*sqrt(6)*(165483*x^9 + 661932*x^7 + 1654830*x^5 + 1985796*x^3 - 59711*sqrt(3)*(x^9 + 4*x^7 + 10*x^5 + 12*x^3 + 9*x) + 1489347*x)*sqrt(59711*sqrt(3) + 165483)*log(-9*1391283^(1/4)*sqrt(681)*sqrt(6)*(166*sqrt(3)*x - 173*x)*sqrt(59711*sqrt(3) + 165483) + 969711993*x^2 + 969711993*sqrt(3)) + 9562653200304*x^2 + 3971940323328)/(x^9 + 4*x^7 + 10*x^5 + 12*x^3 + 9*x)","B",0
124,1,652,0,1.041619," ","integrate((5*x^6+3*x^4+x^2+4)/x^4/(x^4+2*x^2+3)^3,x, algorithm=""fricas"")","\frac{62119890312985296 \, x^{10} + 226662866975704896 \, x^{8} + 522840224968600176 \, x^{6} + 47239676 \cdot 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} + 4 \, x^{9} + 10 \, x^{7} + 12 \, x^{5} + 9 \, x^{3}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} \arctan\left(\frac{1}{27609352591972558367520653346} \, \sqrt{182097141061} 713236683^{\frac{3}{4}} \sqrt{15419} \sqrt{6} \sqrt{3} \sqrt{713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(2369 \, \sqrt{3} x - 2242 \, x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} + 546291423183 \, x^{2} + 546291423183 \, \sqrt{3}} {\left(2242 \, \sqrt{3} \sqrt{2} - 7107 \, \sqrt{2}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} - \frac{1}{50539604724352062} \cdot 713236683^{\frac{3}{4}} \sqrt{15419} \sqrt{6} {\left(2242 \, \sqrt{3} \sqrt{2} x - 7107 \, \sqrt{2} x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} + \frac{1}{2} \, \sqrt{3} \sqrt{2} - \frac{1}{2} \, \sqrt{2}\right) + 47239676 \cdot 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} + 4 \, x^{9} + 10 \, x^{7} + 12 \, x^{5} + 9 \, x^{3}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} \arctan\left(\frac{1}{82828057775917675102561960038} \, \sqrt{182097141061} 713236683^{\frac{3}{4}} \sqrt{15419} \sqrt{6} \sqrt{-27 \cdot 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(2369 \, \sqrt{3} x - 2242 \, x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} + 14749868425941 \, x^{2} + 14749868425941 \, \sqrt{3}} {\left(2242 \, \sqrt{3} \sqrt{2} - 7107 \, \sqrt{2}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} - \frac{1}{50539604724352062} \cdot 713236683^{\frac{3}{4}} \sqrt{15419} \sqrt{6} {\left(2242 \, \sqrt{3} \sqrt{2} x - 7107 \, \sqrt{2} x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} - \frac{1}{2} \, \sqrt{3} \sqrt{2} + \frac{1}{2} \, \sqrt{2}\right) + 526799745203830560 \, x^{4} - 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(33721353 \, x^{11} + 134885412 \, x^{9} + 337213530 \, x^{7} + 404656236 \, x^{5} + 303492177 \, x^{3} - 10004741 \, \sqrt{3} {\left(x^{11} + 4 \, x^{9} + 10 \, x^{7} + 12 \, x^{5} + 9 \, x^{3}\right)}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} \log\left(27 \cdot 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(2369 \, \sqrt{3} x - 2242 \, x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} + 14749868425941 \, x^{2} + 14749868425941 \, \sqrt{3}\right) + 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(33721353 \, x^{11} + 134885412 \, x^{9} + 337213530 \, x^{7} + 404656236 \, x^{5} + 303492177 \, x^{3} - 10004741 \, \sqrt{3} {\left(x^{11} + 4 \, x^{9} + 10 \, x^{7} + 12 \, x^{5} + 9 \, x^{3}\right)}\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} \log\left(-27 \cdot 713236683^{\frac{1}{4}} \sqrt{15419} \sqrt{6} {\left(2369 \, \sqrt{3} x - 2242 \, x\right)} \sqrt{10004741 \, \sqrt{3} + 33721353} + 14749868425941 \, x^{2} + 14749868425941 \, \sqrt{3}\right) + 236627222534562816 \, x^{2} - 60415461072654336}{135934787413472256 \, {\left(x^{11} + 4 \, x^{9} + 10 \, x^{7} + 12 \, x^{5} + 9 \, x^{3}\right)}}"," ",0,"1/135934787413472256*(62119890312985296*x^10 + 226662866975704896*x^8 + 522840224968600176*x^6 + 47239676*713236683^(1/4)*sqrt(15419)*sqrt(6)*sqrt(3)*sqrt(2)*(x^11 + 4*x^9 + 10*x^7 + 12*x^5 + 9*x^3)*sqrt(10004741*sqrt(3) + 33721353)*arctan(1/27609352591972558367520653346*sqrt(182097141061)*713236683^(3/4)*sqrt(15419)*sqrt(6)*sqrt(3)*sqrt(713236683^(1/4)*sqrt(15419)*sqrt(6)*(2369*sqrt(3)*x - 2242*x)*sqrt(10004741*sqrt(3) + 33721353) + 546291423183*x^2 + 546291423183*sqrt(3))*(2242*sqrt(3)*sqrt(2) - 7107*sqrt(2))*sqrt(10004741*sqrt(3) + 33721353) - 1/50539604724352062*713236683^(3/4)*sqrt(15419)*sqrt(6)*(2242*sqrt(3)*sqrt(2)*x - 7107*sqrt(2)*x)*sqrt(10004741*sqrt(3) + 33721353) + 1/2*sqrt(3)*sqrt(2) - 1/2*sqrt(2)) + 47239676*713236683^(1/4)*sqrt(15419)*sqrt(6)*sqrt(3)*sqrt(2)*(x^11 + 4*x^9 + 10*x^7 + 12*x^5 + 9*x^3)*sqrt(10004741*sqrt(3) + 33721353)*arctan(1/82828057775917675102561960038*sqrt(182097141061)*713236683^(3/4)*sqrt(15419)*sqrt(6)*sqrt(-27*713236683^(1/4)*sqrt(15419)*sqrt(6)*(2369*sqrt(3)*x - 2242*x)*sqrt(10004741*sqrt(3) + 33721353) + 14749868425941*x^2 + 14749868425941*sqrt(3))*(2242*sqrt(3)*sqrt(2) - 7107*sqrt(2))*sqrt(10004741*sqrt(3) + 33721353) - 1/50539604724352062*713236683^(3/4)*sqrt(15419)*sqrt(6)*(2242*sqrt(3)*sqrt(2)*x - 7107*sqrt(2)*x)*sqrt(10004741*sqrt(3) + 33721353) - 1/2*sqrt(3)*sqrt(2) + 1/2*sqrt(2)) + 526799745203830560*x^4 - 713236683^(1/4)*sqrt(15419)*sqrt(6)*(33721353*x^11 + 134885412*x^9 + 337213530*x^7 + 404656236*x^5 + 303492177*x^3 - 10004741*sqrt(3)*(x^11 + 4*x^9 + 10*x^7 + 12*x^5 + 9*x^3))*sqrt(10004741*sqrt(3) + 33721353)*log(27*713236683^(1/4)*sqrt(15419)*sqrt(6)*(2369*sqrt(3)*x - 2242*x)*sqrt(10004741*sqrt(3) + 33721353) + 14749868425941*x^2 + 14749868425941*sqrt(3)) + 713236683^(1/4)*sqrt(15419)*sqrt(6)*(33721353*x^11 + 134885412*x^9 + 337213530*x^7 + 404656236*x^5 + 303492177*x^3 - 10004741*sqrt(3)*(x^11 + 4*x^9 + 10*x^7 + 12*x^5 + 9*x^3))*sqrt(10004741*sqrt(3) + 33721353)*log(-27*713236683^(1/4)*sqrt(15419)*sqrt(6)*(2369*sqrt(3)*x - 2242*x)*sqrt(10004741*sqrt(3) + 33721353) + 14749868425941*x^2 + 14749868425941*sqrt(3)) + 236627222534562816*x^2 - 60415461072654336)/(x^11 + 4*x^9 + 10*x^7 + 12*x^5 + 9*x^3)","B",0
125,1,486,0,1.592956," ","integrate(x*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} c^{2} - 4 \, a c^{3}\right)} g x^{4} + 2 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} f - {\left(b^{3} c - 4 \, a b c^{2}\right)} g\right)} x^{2} + {\left(2 \, c^{3} d - b c^{2} e + {\left(b^{2} c - 2 \, a c^{2}\right)} f - {\left(b^{3} - 3 \, a b c\right)} g\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{4} + 2 \, b c x^{2} + b^{2} - 2 \, a c - {\left(2 \, c x^{2} + b\right)} \sqrt{b^{2} - 4 \, a c}}{c x^{4} + b x^{2} + a}\right) + {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e - {\left(b^{3} c - 4 \, a b c^{2}\right)} f + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} g\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)}}, \frac{{\left(b^{2} c^{2} - 4 \, a c^{3}\right)} g x^{4} + 2 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} f - {\left(b^{3} c - 4 \, a b c^{2}\right)} g\right)} x^{2} - 2 \, {\left(2 \, c^{3} d - b c^{2} e + {\left(b^{2} c - 2 \, a c^{2}\right)} f - {\left(b^{3} - 3 \, a b c\right)} g\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{{\left(2 \, c x^{2} + b\right)} \sqrt{-b^{2} + 4 \, a c}}{b^{2} - 4 \, a c}\right) + {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e - {\left(b^{3} c - 4 \, a b c^{2}\right)} f + {\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} g\right)} \log\left(c x^{4} + b x^{2} + a\right)}{4 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)}}\right]"," ",0,"[1/4*((b^2*c^2 - 4*a*c^3)*g*x^4 + 2*((b^2*c^2 - 4*a*c^3)*f - (b^3*c - 4*a*b*c^2)*g)*x^2 + (2*c^3*d - b*c^2*e + (b^2*c - 2*a*c^2)*f - (b^3 - 3*a*b*c)*g)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^4 + 2*b*c*x^2 + b^2 - 2*a*c - (2*c*x^2 + b)*sqrt(b^2 - 4*a*c))/(c*x^4 + b*x^2 + a)) + ((b^2*c^2 - 4*a*c^3)*e - (b^3*c - 4*a*b*c^2)*f + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*g)*log(c*x^4 + b*x^2 + a))/(b^2*c^3 - 4*a*c^4), 1/4*((b^2*c^2 - 4*a*c^3)*g*x^4 + 2*((b^2*c^2 - 4*a*c^3)*f - (b^3*c - 4*a*b*c^2)*g)*x^2 - 2*(2*c^3*d - b*c^2*e + (b^2*c - 2*a*c^2)*f - (b^3 - 3*a*b*c)*g)*sqrt(-b^2 + 4*a*c)*arctan(-(2*c*x^2 + b)*sqrt(-b^2 + 4*a*c)/(b^2 - 4*a*c)) + ((b^2*c^2 - 4*a*c^3)*e - (b^3*c - 4*a*b*c^2)*f + (b^4 - 5*a*b^2*c + 4*a^2*c^2)*g)*log(c*x^4 + b*x^2 + a))/(b^2*c^3 - 4*a*c^4)]","A",0
126,-1,0,0,0.000000," ","integrate(x^4*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate(x^2*(g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((g*x^6+f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((g*x^6+f*x^4+e*x^2+d)/x^2/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((g*x^6+f*x^4+e*x^2+d)/x^4/(c*x^4+b*x^2+a)^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,1,31,0,1.057025," ","integrate(x^2*(c*x^4+b*x^2+a)^p*(3*a+b*(5+2*p)*x^2+c*(7+4*p)*x^4),x, algorithm=""fricas"")","{\left(c x^{7} + b x^{5} + a x^{3}\right)} {\left(c x^{4} + b x^{2} + a\right)}^{p}"," ",0,"(c*x^7 + b*x^5 + a*x^3)*(c*x^4 + b*x^2 + a)^p","A",0
132,1,138,0,1.359694," ","integrate(x^5*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, c e^{8} x^{8} + 128 \, c d^{8} + 144 \, b d^{6} e^{2} + 168 \, a d^{4} e^{4} + 5 \, {\left(8 \, c d^{2} e^{6} + 9 \, b e^{8}\right)} x^{6} + 3 \, {\left(16 \, c d^{4} e^{4} + 18 \, b d^{2} e^{6} + 21 \, a e^{8}\right)} x^{4} + 4 \, {\left(16 \, c d^{6} e^{2} + 18 \, b d^{4} e^{4} + 21 \, a d^{2} e^{6}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{315 \, e^{10}}"," ",0,"-1/315*(35*c*e^8*x^8 + 128*c*d^8 + 144*b*d^6*e^2 + 168*a*d^4*e^4 + 5*(8*c*d^2*e^6 + 9*b*e^8)*x^6 + 3*(16*c*d^4*e^4 + 18*b*d^2*e^6 + 21*a*e^8)*x^4 + 4*(16*c*d^6*e^2 + 18*b*d^4*e^4 + 21*a*d^2*e^6)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/e^10","A",0
133,1,104,0,1.246212," ","integrate(x^3*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(15 \, c e^{6} x^{6} + 48 \, c d^{6} + 56 \, b d^{4} e^{2} + 70 \, a d^{2} e^{4} + 3 \, {\left(6 \, c d^{2} e^{4} + 7 \, b e^{6}\right)} x^{4} + {\left(24 \, c d^{4} e^{2} + 28 \, b d^{2} e^{4} + 35 \, a e^{6}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{105 \, e^{8}}"," ",0,"-1/105*(15*c*e^6*x^6 + 48*c*d^6 + 56*b*d^4*e^2 + 70*a*d^2*e^4 + 3*(6*c*d^2*e^4 + 7*b*e^6)*x^4 + (24*c*d^4*e^2 + 28*b*d^2*e^4 + 35*a*e^6)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/e^8","A",0
134,1,71,0,1.394338," ","integrate(x*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, c e^{4} x^{4} + 8 \, c d^{4} + 10 \, b d^{2} e^{2} + 15 \, a e^{4} + {\left(4 \, c d^{2} e^{2} + 5 \, b e^{4}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{15 \, e^{6}}"," ",0,"-1/15*(3*c*e^4*x^4 + 8*c*d^4 + 10*b*d^2*e^2 + 15*a*e^4 + (4*c*d^2*e^2 + 5*b*e^4)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/e^6","A",0
135,1,80,0,1.336835," ","integrate((c*x^4+b*x^2+a)/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{3 \, a e^{4} \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) - {\left(c d e^{2} x^{2} + 2 \, c d^{3} + 3 \, b d e^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{3 \, d e^{4}}"," ",0,"1/3*(3*a*e^4*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) - (c*d*e^2*x^2 + 2*c*d^3 + 3*b*d*e^2)*sqrt(e*x + d)*sqrt(-e*x + d))/(d*e^4)","A",0
136,1,98,0,1.405757," ","integrate((c*x^4+b*x^2+a)/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, c d^{4} x^{2} - {\left(2 \, b d^{2} e^{2} + a e^{4}\right)} x^{2} \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) + {\left(2 \, c d^{3} x^{2} + a d e^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{2 \, d^{3} e^{2} x^{2}}"," ",0,"-1/2*(2*c*d^4*x^2 - (2*b*d^2*e^2 + a*e^4)*x^2*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) + (2*c*d^3*x^2 + a*d*e^2)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^3*e^2*x^2)","A",0
137,1,102,0,1.234839," ","integrate((c*x^4+b*x^2+a)/x^5/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{{\left(8 \, c d^{4} + 4 \, b d^{2} e^{2} + 3 \, a e^{4}\right)} x^{4} \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) - {\left(2 \, a d^{3} + {\left(4 \, b d^{3} + 3 \, a d e^{2}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{8 \, d^{5} x^{4}}"," ",0,"1/8*((8*c*d^4 + 4*b*d^2*e^2 + 3*a*e^4)*x^4*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) - (2*a*d^3 + (4*b*d^3 + 3*a*d*e^2)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^5*x^4)","A",0
138,1,137,0,1.300211," ","integrate((c*x^4+b*x^2+a)/x^7/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, c d^{4} e^{2} + 6 \, b d^{2} e^{4} + 5 \, a e^{6}\right)} x^{6} \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) - {\left(8 \, a d^{5} + 3 \, {\left(8 \, c d^{5} + 6 \, b d^{3} e^{2} + 5 \, a d e^{4}\right)} x^{4} + 2 \, {\left(6 \, b d^{5} + 5 \, a d^{3} e^{2}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{48 \, d^{7} x^{6}}"," ",0,"1/48*(3*(8*c*d^4*e^2 + 6*b*d^2*e^4 + 5*a*e^6)*x^6*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) - (8*a*d^5 + 3*(8*c*d^5 + 6*b*d^3*e^2 + 5*a*d*e^4)*x^4 + 2*(6*b*d^5 + 5*a*d^3*e^2)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^7*x^6)","A",0
139,1,134,0,1.281915," ","integrate(x^2*(c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(8 \, c e^{5} x^{5} + 2 \, {\left(5 \, c d^{2} e^{3} + 6 \, b e^{5}\right)} x^{3} + 3 \, {\left(5 \, c d^{4} e + 6 \, b d^{2} e^{3} + 8 \, a e^{5}\right)} x\right)} \sqrt{e x + d} \sqrt{-e x + d} + 6 \, {\left(5 \, c d^{6} + 6 \, b d^{4} e^{2} + 8 \, a d^{2} e^{4}\right)} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right)}{48 \, e^{7}}"," ",0,"-1/48*((8*c*e^5*x^5 + 2*(5*c*d^2*e^3 + 6*b*e^5)*x^3 + 3*(5*c*d^4*e + 6*b*d^2*e^3 + 8*a*e^5)*x)*sqrt(e*x + d)*sqrt(-e*x + d) + 6*(5*c*d^6 + 6*b*d^4*e^2 + 8*a*d^2*e^4)*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)))/e^7","A",0
140,1,100,0,1.246757," ","integrate((c*x^4+b*x^2+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, c e^{3} x^{3} + {\left(3 \, c d^{2} e + 4 \, b e^{3}\right)} x\right)} \sqrt{e x + d} \sqrt{-e x + d} + 2 \, {\left(3 \, c d^{4} + 4 \, b d^{2} e^{2} + 8 \, a e^{4}\right)} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right)}{8 \, e^{5}}"," ",0,"-1/8*((2*c*e^3*x^3 + (3*c*d^2*e + 4*b*e^3)*x)*sqrt(e*x + d)*sqrt(-e*x + d) + 2*(3*c*d^4 + 4*b*d^2*e^2 + 8*a*e^4)*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)))/e^5","A",0
141,1,90,0,1.176715," ","integrate((c*x^4+b*x^2+a)/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(c d^{4} + 2 \, b d^{2} e^{2}\right)} x \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right) + {\left(c d^{2} e x^{2} + 2 \, a e^{3}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{2 \, d^{2} e^{3} x}"," ",0,"-1/2*(2*(c*d^4 + 2*b*d^2*e^2)*x*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)) + (c*d^2*e*x^2 + 2*a*e^3)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^2*e^3*x)","A",0
142,1,90,0,1.223397," ","integrate((c*x^4+b*x^2+a)/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{6 \, c d^{4} x^{3} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right) + {\left(a d^{2} e + {\left(3 \, b d^{2} e + 2 \, a e^{3}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{3 \, d^{4} e x^{3}}"," ",0,"-1/3*(6*c*d^4*x^3*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)) + (a*d^2*e + (3*b*d^2*e + 2*a*e^3)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^4*e*x^3)","A",0
143,1,76,0,1.143580," ","integrate((c*x^4+b*x^2+a)/x^6/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, a d^{4} + {\left(15 \, c d^{4} + 10 \, b d^{2} e^{2} + 8 \, a e^{4}\right)} x^{4} + {\left(5 \, b d^{4} + 4 \, a d^{2} e^{2}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{15 \, d^{6} x^{5}}"," ",0,"-1/15*(3*a*d^4 + (15*c*d^4 + 10*b*d^2*e^2 + 8*a*e^4)*x^4 + (5*b*d^4 + 4*a*d^2*e^2)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/(d^6*x^5)","A",0
144,1,110,0,1.520611," ","integrate((c*x^4+b*x^2+a)/x^8/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(15 \, a d^{6} + 2 \, {\left(35 \, c d^{4} e^{2} + 28 \, b d^{2} e^{4} + 24 \, a e^{6}\right)} x^{6} + {\left(35 \, c d^{6} + 28 \, b d^{4} e^{2} + 24 \, a d^{2} e^{4}\right)} x^{4} + 3 \, {\left(7 \, b d^{6} + 6 \, a d^{4} e^{2}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{105 \, d^{8} x^{7}}"," ",0,"-1/105*(15*a*d^6 + 2*(35*c*d^4*e^2 + 28*b*d^2*e^4 + 24*a*e^6)*x^6 + (35*c*d^6 + 28*b*d^4*e^2 + 24*a*d^2*e^4)*x^4 + 3*(7*b*d^6 + 6*a*d^4*e^2)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/(d^8*x^7)","A",0
145,1,144,0,2.018672," ","integrate((c*x^4+b*x^2+a)/x^10/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, a d^{8} + 8 \, {\left(21 \, c d^{4} e^{4} + 18 \, b d^{2} e^{6} + 16 \, a e^{8}\right)} x^{8} + 4 \, {\left(21 \, c d^{6} e^{2} + 18 \, b d^{4} e^{4} + 16 \, a d^{2} e^{6}\right)} x^{6} + 3 \, {\left(21 \, c d^{8} + 18 \, b d^{6} e^{2} + 16 \, a d^{4} e^{4}\right)} x^{4} + 5 \, {\left(9 \, b d^{8} + 8 \, a d^{6} e^{2}\right)} x^{2}\right)} \sqrt{e x + d} \sqrt{-e x + d}}{315 \, d^{10} x^{9}}"," ",0,"-1/315*(35*a*d^8 + 8*(21*c*d^4*e^4 + 18*b*d^2*e^6 + 16*a*e^8)*x^8 + 4*(21*c*d^6*e^2 + 18*b*d^4*e^4 + 16*a*d^2*e^6)*x^6 + 3*(21*c*d^8 + 18*b*d^6*e^2 + 16*a*d^4*e^4)*x^4 + 5*(9*b*d^8 + 8*a*d^6*e^2)*x^2)*sqrt(e*x + d)*sqrt(-e*x + d)/(d^10*x^9)","A",0
