1,1,97,94,3.436136,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + f*x^2),x)","\frac{x\,\left(A\,c+B\,b\right)}{f}-\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{d}}\right)\,\left(A\,c\,d-A\,a\,f+B\,b\,d\right)}{\sqrt{d}\,f^{3/2}}+\frac{B\,c\,x^2}{2\,f}+\frac{\ln\left(f\,x^2+d\right)\,\left(4\,A\,b\,d\,f^3+4\,B\,a\,d\,f^3-4\,B\,c\,d^2\,f^2\right)}{8\,d\,f^4}","Not used",1,"(x*(A*c + B*b))/f - (atan((f^(1/2)*x)/d^(1/2))*(A*c*d - A*a*f + B*b*d))/(d^(1/2)*f^(3/2)) + (B*c*x^2)/(2*f) + (log(d + f*x^2)*(4*A*b*d*f^3 + 4*B*a*d*f^3 - 4*B*c*d^2*f^2))/(8*d*f^4)","B"
2,1,253,228,0.249116,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + f*x^2),x)","x\,\left(\frac{A\,b^2+2\,B\,a\,b+2\,A\,a\,c}{f}-\frac{d\,\left(A\,c^2+2\,B\,b\,c\right)}{f^2}\right)+x^2\,\left(\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{2\,f}-\frac{B\,c^2\,d}{2\,f^2}\right)+\frac{x^3\,\left(A\,c^2+2\,B\,b\,c\right)}{3\,f}+\frac{B\,c^2\,x^4}{4\,f}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{d}}\right)\,\left(A\,a^2\,f^2-2\,B\,a\,b\,d\,f-2\,A\,a\,c\,d\,f-A\,b^2\,d\,f+2\,B\,b\,c\,d^2+A\,c^2\,d^2\right)}{\sqrt{d}\,f^{5/2}}+\frac{\ln\left(f\,x^2+d\right)\,\left(4\,B\,a^2\,d\,f^5+8\,A\,a\,b\,d\,f^5-8\,B\,a\,c\,d^2\,f^4-4\,B\,b^2\,d^2\,f^4-8\,A\,b\,c\,d^2\,f^4+4\,B\,c^2\,d^3\,f^3\right)}{8\,d\,f^6}","Not used",1,"x*((A*b^2 + 2*A*a*c + 2*B*a*b)/f - (d*(A*c^2 + 2*B*b*c))/f^2) + x^2*((B*b^2 + 2*A*b*c + 2*B*a*c)/(2*f) - (B*c^2*d)/(2*f^2)) + (x^3*(A*c^2 + 2*B*b*c))/(3*f) + (B*c^2*x^4)/(4*f) + (atan((f^(1/2)*x)/d^(1/2))*(A*a^2*f^2 + A*c^2*d^2 + 2*B*b*c*d^2 - A*b^2*d*f - 2*A*a*c*d*f - 2*B*a*b*d*f))/(d^(1/2)*f^(5/2)) + (log(d + f*x^2)*(4*B*a^2*d*f^5 - 4*B*b^2*d^2*f^4 + 4*B*c^2*d^3*f^3 + 8*A*a*b*d*f^5 - 8*A*b*c*d^2*f^4 - 8*B*a*c*d^2*f^4))/(8*d*f^6)","B"
3,1,552,441,3.792129,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + f*x^2),x)","x^2\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{2\,f}-\frac{d\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{f}-\frac{B\,c^3\,d}{f^2}\right)}{2\,f}\right)+x\,\left(\frac{3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2}{f}-\frac{d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{f}-\frac{d\,\left(A\,c^3+3\,B\,b\,c^2\right)}{f^2}\right)}{f}\right)+x^3\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{3\,f}-\frac{d\,\left(A\,c^3+3\,B\,b\,c^2\right)}{3\,f^2}\right)+x^4\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{4\,f}-\frac{B\,c^3\,d}{4\,f^2}\right)+\frac{x^5\,\left(A\,c^3+3\,B\,b\,c^2\right)}{5\,f}+\frac{B\,c^3\,x^6}{6\,f}+\frac{\ln\left(f\,x^2+d\right)\,\left(4\,B\,a^3\,d\,f^7+12\,A\,a^2\,b\,d\,f^7-12\,B\,a^2\,c\,d^2\,f^6-12\,B\,a\,b^2\,d^2\,f^6-24\,A\,a\,b\,c\,d^2\,f^6+12\,B\,a\,c^2\,d^3\,f^5-4\,A\,b^3\,d^2\,f^6+12\,B\,b^2\,c\,d^3\,f^5+12\,A\,b\,c^2\,d^3\,f^5-4\,B\,c^3\,d^4\,f^4\right)}{8\,d\,f^8}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{d}}\right)\,\left(A\,a^3\,f^3-3\,B\,a^2\,b\,d\,f^2-3\,A\,a^2\,c\,d\,f^2-3\,A\,a\,b^2\,d\,f^2+6\,B\,a\,b\,c\,d^2\,f+3\,A\,a\,c^2\,d^2\,f+B\,b^3\,d^2\,f+3\,A\,b^2\,c\,d^2\,f-3\,B\,b\,c^2\,d^3-A\,c^3\,d^3\right)}{\sqrt{d}\,f^{7/2}}","Not used",1,"x^2*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/(2*f) - (d*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/f - (B*c^3*d)/f^2))/(2*f)) + x*((3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b)/f - (d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/f - (d*(A*c^3 + 3*B*b*c^2))/f^2))/f) + x^3*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/(3*f) - (d*(A*c^3 + 3*B*b*c^2))/(3*f^2)) + x^4*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/(4*f) - (B*c^3*d)/(4*f^2)) + (x^5*(A*c^3 + 3*B*b*c^2))/(5*f) + (B*c^3*x^6)/(6*f) + (log(d + f*x^2)*(4*B*a^3*d*f^7 - 4*A*b^3*d^2*f^6 - 4*B*c^3*d^4*f^4 - 12*B*a*b^2*d^2*f^6 + 12*A*b*c^2*d^3*f^5 + 12*B*a*c^2*d^3*f^5 - 12*B*a^2*c*d^2*f^6 + 12*B*b^2*c*d^3*f^5 + 12*A*a^2*b*d*f^7 - 24*A*a*b*c*d^2*f^6))/(8*d*f^8) + (atan((f^(1/2)*x)/d^(1/2))*(A*a^3*f^3 - A*c^3*d^3 - 3*B*b*c^2*d^3 + B*b^3*d^2*f - 3*A*a*b^2*d*f^2 + 3*A*a*c^2*d^2*f - 3*A*a^2*c*d*f^2 - 3*B*a^2*b*d*f^2 + 3*A*b^2*c*d^2*f + 6*B*a*b*c*d^2*f))/(d^(1/2)*f^(7/2))","B"
4,1,3888,274,38.323054,"\text{Not used}","int((A + B*x)/((d + f*x^2)*(a + b*x + c*x^2)),x)","\frac{\ln\left(B^3\,c^2\,f^2\,x+\frac{\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}-\frac{A\,a\,f\,\sqrt{-d\,f}}{2}+\frac{A\,c\,d\,\sqrt{-d\,f}}{2}-\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(\frac{\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}-\frac{A\,a\,f\,\sqrt{-d\,f}}{2}+\frac{A\,c\,d\,\sqrt{-d\,f}}{2}-\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(4\,A\,a^2\,c^2\,f^4+4\,A\,c^4\,d^2\,f^2-c\,f^2\,x\,\left(4\,B\,a^2\,c\,f^2-B\,a\,b^2\,f^2-12\,A\,a\,b\,c\,f^2-8\,B\,a\,c^2\,d\,f+3\,A\,b^3\,f^2-3\,B\,b^2\,c\,d\,f+12\,A\,b\,c^2\,d\,f+4\,B\,c^3\,d^2\right)-3\,A\,b^2\,c^2\,d\,f^3-4\,B\,b\,c^3\,d^2\,f^2-A\,a\,b^2\,c\,f^4-8\,A\,a\,c^3\,d\,f^3+B\,b^3\,c\,d\,f^3+\frac{2\,c\,f^2\,\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}-\frac{A\,a\,f\,\sqrt{-d\,f}}{2}+\frac{A\,c\,d\,\sqrt{-d\,f}}{2}-\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(4\,x\,a^3\,c\,f^3-x\,a^2\,b^2\,f^3-14\,a^2\,b\,c\,d\,f^2-4\,x\,a^2\,c^2\,d\,f^2+4\,a\,b^3\,d\,f^2-10\,x\,a\,b^2\,c\,d\,f^2+12\,a\,b\,c^2\,d^2\,f-4\,x\,a\,c^3\,d^2\,f+3\,x\,b^4\,d\,f^2-2\,b^3\,c\,d^2\,f+3\,x\,b^2\,c^2\,d^2\,f+2\,b\,c^3\,d^3+4\,x\,c^4\,d^3\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}+4\,B\,a\,b\,c^2\,d\,f^3\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}-c\,f^2\,x\,\left(-4\,f\,A^2\,c^2+2\,f\,A\,B\,b\,c-f\,B^2\,b^2+2\,d\,B^2\,c^2+2\,a\,f\,B^2\,c\right)+A^2\,b\,c^2\,f^3+B^2\,b\,c^2\,d\,f^2-4\,A\,B\,a\,c^2\,f^3+A\,B\,b^2\,c\,f^3-4\,A\,B\,c^3\,d\,f^2\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}+A\,B^2\,c^2\,f^2\right)\,\left(f\,\left(\frac{B\,a\,d}{2}-\frac{A\,b\,d}{2}+\frac{A\,a\,\sqrt{-d\,f}}{2}\right)-\frac{B\,c\,d^2}{2}-\frac{A\,c\,d\,\sqrt{-d\,f}}{2}+\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)}{a^2\,d\,f^2-2\,a\,c\,d^2\,f+b^2\,d^2\,f+c^2\,d^3}-\frac{\ln\left(B^3\,c^2\,f^2\,x+\frac{\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}+\frac{A\,a\,f\,\sqrt{-d\,f}}{2}-\frac{A\,c\,d\,\sqrt{-d\,f}}{2}+\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(\frac{\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}+\frac{A\,a\,f\,\sqrt{-d\,f}}{2}-\frac{A\,c\,d\,\sqrt{-d\,f}}{2}+\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(4\,A\,a^2\,c^2\,f^4+4\,A\,c^4\,d^2\,f^2-c\,f^2\,x\,\left(4\,B\,a^2\,c\,f^2-B\,a\,b^2\,f^2-12\,A\,a\,b\,c\,f^2-8\,B\,a\,c^2\,d\,f+3\,A\,b^3\,f^2-3\,B\,b^2\,c\,d\,f+12\,A\,b\,c^2\,d\,f+4\,B\,c^3\,d^2\right)-3\,A\,b^2\,c^2\,d\,f^3-4\,B\,b\,c^3\,d^2\,f^2-A\,a\,b^2\,c\,f^4-8\,A\,a\,c^3\,d\,f^3+B\,b^3\,c\,d\,f^3+\frac{2\,c\,f^2\,\left(\frac{B\,c\,d^2}{2}+\frac{A\,b\,d\,f}{2}-\frac{B\,a\,d\,f}{2}+\frac{A\,a\,f\,\sqrt{-d\,f}}{2}-\frac{A\,c\,d\,\sqrt{-d\,f}}{2}+\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)\,\left(4\,x\,a^3\,c\,f^3-x\,a^2\,b^2\,f^3-14\,a^2\,b\,c\,d\,f^2-4\,x\,a^2\,c^2\,d\,f^2+4\,a\,b^3\,d\,f^2-10\,x\,a\,b^2\,c\,d\,f^2+12\,a\,b\,c^2\,d^2\,f-4\,x\,a\,c^3\,d^2\,f+3\,x\,b^4\,d\,f^2-2\,b^3\,c\,d^2\,f+3\,x\,b^2\,c^2\,d^2\,f+2\,b\,c^3\,d^3+4\,x\,c^4\,d^3\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}+4\,B\,a\,b\,c^2\,d\,f^3\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}-c\,f^2\,x\,\left(-4\,f\,A^2\,c^2+2\,f\,A\,B\,b\,c-f\,B^2\,b^2+2\,d\,B^2\,c^2+2\,a\,f\,B^2\,c\right)+A^2\,b\,c^2\,f^3+B^2\,b\,c^2\,d\,f^2-4\,A\,B\,a\,c^2\,f^3+A\,B\,b^2\,c\,f^3-4\,A\,B\,c^3\,d\,f^2\right)}{d\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}+A\,B^2\,c^2\,f^2\right)\,\left(f\,\left(\frac{A\,b\,d}{2}-\frac{B\,a\,d}{2}+\frac{A\,a\,\sqrt{-d\,f}}{2}\right)+\frac{B\,c\,d^2}{2}-\frac{A\,c\,d\,\sqrt{-d\,f}}{2}+\frac{B\,b\,d\,\sqrt{-d\,f}}{2}\right)}{a^2\,d\,f^2-2\,a\,c\,d^2\,f+b^2\,d^2\,f+c^2\,d^3}-\frac{\ln\left(B^3\,c^2\,f^2\,x+A\,B^2\,c^2\,f^2-\frac{\left(\frac{\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b\,f\,\left(4\,a\,c-b^2\right)-2\,B\,a\,f\,\left(4\,a\,c-b^2\right)+2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)\,\left(c\,f^2\,x\,\left(4\,B\,a^2\,c\,f^2-B\,a\,b^2\,f^2-12\,A\,a\,b\,c\,f^2-8\,B\,a\,c^2\,d\,f+3\,A\,b^3\,f^2-3\,B\,b^2\,c\,d\,f+12\,A\,b\,c^2\,d\,f+4\,B\,c^3\,d^2\right)-4\,A\,c^4\,d^2\,f^2-4\,A\,a^2\,c^2\,f^4+3\,A\,b^2\,c^2\,d\,f^3+4\,B\,b\,c^3\,d^2\,f^2+A\,a\,b^2\,c\,f^4+8\,A\,a\,c^3\,d\,f^3-B\,b^3\,c\,d\,f^3-4\,B\,a\,b\,c^2\,d\,f^3+\frac{c\,f^2\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b\,f\,\left(4\,a\,c-b^2\right)-2\,B\,a\,f\,\left(4\,a\,c-b^2\right)+2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)\,\left(4\,x\,a^3\,c\,f^3-x\,a^2\,b^2\,f^3-14\,a^2\,b\,c\,d\,f^2-4\,x\,a^2\,c^2\,d\,f^2+4\,a\,b^3\,d\,f^2-10\,x\,a\,b^2\,c\,d\,f^2+12\,a\,b\,c^2\,d^2\,f-4\,x\,a\,c^3\,d^2\,f+3\,x\,b^4\,d\,f^2-2\,b^3\,c\,d^2\,f+3\,x\,b^2\,c^2\,d^2\,f+2\,b\,c^3\,d^3+4\,x\,c^4\,d^3\right)}{2\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}-c\,f^2\,x\,\left(-4\,f\,A^2\,c^2+2\,f\,A\,B\,b\,c-f\,B^2\,b^2+2\,d\,B^2\,c^2+2\,a\,f\,B^2\,c\right)+A^2\,b\,c^2\,f^3+B^2\,b\,c^2\,d\,f^2-4\,A\,B\,a\,c^2\,f^3+A\,B\,b^2\,c\,f^3-4\,A\,B\,c^3\,d\,f^2\right)\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b\,f\,\left(4\,a\,c-b^2\right)-2\,B\,a\,f\,\left(4\,a\,c-b^2\right)+2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}\right)\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b\,f\,\left(4\,a\,c-b^2\right)-2\,B\,a\,f\,\left(4\,a\,c-b^2\right)+2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)}{b^2\,\left(4\,a^2\,f^2-24\,a\,c\,d\,f+4\,b^2\,d\,f+4\,c^2\,d^2\right)-4\,a\,c\,\left(4\,a^2\,f^2-8\,a\,c\,d\,f+4\,c^2\,d^2\right)}+\frac{\ln\left(B^3\,c^2\,f^2\,x+A\,B^2\,c^2\,f^2+\frac{\left(\frac{\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}-2\,A\,b\,f\,\left(4\,a\,c-b^2\right)+2\,B\,a\,f\,\left(4\,a\,c-b^2\right)-2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)\,\left(4\,A\,a^2\,c^2\,f^4+4\,A\,c^4\,d^2\,f^2-c\,f^2\,x\,\left(4\,B\,a^2\,c\,f^2-B\,a\,b^2\,f^2-12\,A\,a\,b\,c\,f^2-8\,B\,a\,c^2\,d\,f+3\,A\,b^3\,f^2-3\,B\,b^2\,c\,d\,f+12\,A\,b\,c^2\,d\,f+4\,B\,c^3\,d^2\right)-3\,A\,b^2\,c^2\,d\,f^3-4\,B\,b\,c^3\,d^2\,f^2-A\,a\,b^2\,c\,f^4-8\,A\,a\,c^3\,d\,f^3+B\,b^3\,c\,d\,f^3+4\,B\,a\,b\,c^2\,d\,f^3+\frac{c\,f^2\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}-2\,A\,b\,f\,\left(4\,a\,c-b^2\right)+2\,B\,a\,f\,\left(4\,a\,c-b^2\right)-2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)\,\left(4\,x\,a^3\,c\,f^3-x\,a^2\,b^2\,f^3-14\,a^2\,b\,c\,d\,f^2-4\,x\,a^2\,c^2\,d\,f^2+4\,a\,b^3\,d\,f^2-10\,x\,a\,b^2\,c\,d\,f^2+12\,a\,b\,c^2\,d^2\,f-4\,x\,a\,c^3\,d^2\,f+3\,x\,b^4\,d\,f^2-2\,b^3\,c\,d^2\,f+3\,x\,b^2\,c^2\,d^2\,f+2\,b\,c^3\,d^3+4\,x\,c^4\,d^3\right)}{2\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}-c\,f^2\,x\,\left(-4\,f\,A^2\,c^2+2\,f\,A\,B\,b\,c-f\,B^2\,b^2+2\,d\,B^2\,c^2+2\,a\,f\,B^2\,c\right)+A^2\,b\,c^2\,f^3+B^2\,b\,c^2\,d\,f^2-4\,A\,B\,a\,c^2\,f^3+A\,B\,b^2\,c\,f^3-4\,A\,B\,c^3\,d\,f^2\right)\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}-2\,A\,b\,f\,\left(4\,a\,c-b^2\right)+2\,B\,a\,f\,\left(4\,a\,c-b^2\right)-2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}\right)\,\left(A\,f\,{\left(b^2-4\,a\,c\right)}^{3/2}-2\,A\,b\,f\,\left(4\,a\,c-b^2\right)+2\,B\,a\,f\,\left(4\,a\,c-b^2\right)-2\,B\,c\,d\,\left(4\,a\,c-b^2\right)+4\,A\,c^2\,d\,\sqrt{b^2-4\,a\,c}+A\,b^2\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b\,f\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)}{b^2\,\left(4\,a^2\,f^2-24\,a\,c\,d\,f+4\,b^2\,d\,f+4\,c^2\,d^2\right)-4\,a\,c\,\left(4\,a^2\,f^2-8\,a\,c\,d\,f+4\,c^2\,d^2\right)}","Not used",1,"(log(B^3*c^2*f^2*x + (((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 - (A*a*f*(-d*f)^(1/2))/2 + (A*c*d*(-d*f)^(1/2))/2 - (B*b*d*(-d*f)^(1/2))/2)*((((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 - (A*a*f*(-d*f)^(1/2))/2 + (A*c*d*(-d*f)^(1/2))/2 - (B*b*d*(-d*f)^(1/2))/2)*(4*A*a^2*c^2*f^4 + 4*A*c^4*d^2*f^2 - c*f^2*x*(3*A*b^3*f^2 + 4*B*c^3*d^2 - B*a*b^2*f^2 + 4*B*a^2*c*f^2 - 12*A*a*b*c*f^2 + 12*A*b*c^2*d*f - 8*B*a*c^2*d*f - 3*B*b^2*c*d*f) - 3*A*b^2*c^2*d*f^3 - 4*B*b*c^3*d^2*f^2 - A*a*b^2*c*f^4 - 8*A*a*c^3*d*f^3 + B*b^3*c*d*f^3 + (2*c*f^2*((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 - (A*a*f*(-d*f)^(1/2))/2 + (A*c*d*(-d*f)^(1/2))/2 - (B*b*d*(-d*f)^(1/2))/2)*(2*b*c^3*d^3 + 4*c^4*d^3*x - a^2*b^2*f^3*x + 4*a*b^3*d*f^2 - 2*b^3*c*d^2*f + 4*a^3*c*f^3*x + 3*b^4*d*f^2*x + 12*a*b*c^2*d^2*f - 14*a^2*b*c*d*f^2 - 4*a*c^3*d^2*f*x - 4*a^2*c^2*d*f^2*x + 3*b^2*c^2*d^2*f*x - 10*a*b^2*c*d*f^2*x))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) + 4*B*a*b*c^2*d*f^3))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) - c*f^2*x*(2*B^2*c^2*d - 4*A^2*c^2*f - B^2*b^2*f + 2*B^2*a*c*f + 2*A*B*b*c*f) + A^2*b*c^2*f^3 + B^2*b*c^2*d*f^2 - 4*A*B*a*c^2*f^3 + A*B*b^2*c*f^3 - 4*A*B*c^3*d*f^2))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) + A*B^2*c^2*f^2)*(f*((B*a*d)/2 - (A*b*d)/2 + (A*a*(-d*f)^(1/2))/2) - (B*c*d^2)/2 - (A*c*d*(-d*f)^(1/2))/2 + (B*b*d*(-d*f)^(1/2))/2))/(c^2*d^3 + a^2*d*f^2 + b^2*d^2*f - 2*a*c*d^2*f) - (log(B^3*c^2*f^2*x + (((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 + (A*a*f*(-d*f)^(1/2))/2 - (A*c*d*(-d*f)^(1/2))/2 + (B*b*d*(-d*f)^(1/2))/2)*((((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 + (A*a*f*(-d*f)^(1/2))/2 - (A*c*d*(-d*f)^(1/2))/2 + (B*b*d*(-d*f)^(1/2))/2)*(4*A*a^2*c^2*f^4 + 4*A*c^4*d^2*f^2 - c*f^2*x*(3*A*b^3*f^2 + 4*B*c^3*d^2 - B*a*b^2*f^2 + 4*B*a^2*c*f^2 - 12*A*a*b*c*f^2 + 12*A*b*c^2*d*f - 8*B*a*c^2*d*f - 3*B*b^2*c*d*f) - 3*A*b^2*c^2*d*f^3 - 4*B*b*c^3*d^2*f^2 - A*a*b^2*c*f^4 - 8*A*a*c^3*d*f^3 + B*b^3*c*d*f^3 + (2*c*f^2*((B*c*d^2)/2 + (A*b*d*f)/2 - (B*a*d*f)/2 + (A*a*f*(-d*f)^(1/2))/2 - (A*c*d*(-d*f)^(1/2))/2 + (B*b*d*(-d*f)^(1/2))/2)*(2*b*c^3*d^3 + 4*c^4*d^3*x - a^2*b^2*f^3*x + 4*a*b^3*d*f^2 - 2*b^3*c*d^2*f + 4*a^3*c*f^3*x + 3*b^4*d*f^2*x + 12*a*b*c^2*d^2*f - 14*a^2*b*c*d*f^2 - 4*a*c^3*d^2*f*x - 4*a^2*c^2*d*f^2*x + 3*b^2*c^2*d^2*f*x - 10*a*b^2*c*d*f^2*x))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) + 4*B*a*b*c^2*d*f^3))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) - c*f^2*x*(2*B^2*c^2*d - 4*A^2*c^2*f - B^2*b^2*f + 2*B^2*a*c*f + 2*A*B*b*c*f) + A^2*b*c^2*f^3 + B^2*b*c^2*d*f^2 - 4*A*B*a*c^2*f^3 + A*B*b^2*c*f^3 - 4*A*B*c^3*d*f^2))/(d*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) + A*B^2*c^2*f^2)*(f*((A*b*d)/2 - (B*a*d)/2 + (A*a*(-d*f)^(1/2))/2) + (B*c*d^2)/2 - (A*c*d*(-d*f)^(1/2))/2 + (B*b*d*(-d*f)^(1/2))/2))/(c^2*d^3 + a^2*d*f^2 + b^2*d^2*f - 2*a*c*d^2*f) - (log(B^3*c^2*f^2*x + A*B^2*c^2*f^2 - ((((A*f*(b^2 - 4*a*c)^(3/2) + 2*A*b*f*(4*a*c - b^2) - 2*B*a*f*(4*a*c - b^2) + 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2))*(c*f^2*x*(3*A*b^3*f^2 + 4*B*c^3*d^2 - B*a*b^2*f^2 + 4*B*a^2*c*f^2 - 12*A*a*b*c*f^2 + 12*A*b*c^2*d*f - 8*B*a*c^2*d*f - 3*B*b^2*c*d*f) - 4*A*c^4*d^2*f^2 - 4*A*a^2*c^2*f^4 + 3*A*b^2*c^2*d*f^3 + 4*B*b*c^3*d^2*f^2 + A*a*b^2*c*f^4 + 8*A*a*c^3*d*f^3 - B*b^3*c*d*f^3 - 4*B*a*b*c^2*d*f^3 + (c*f^2*(A*f*(b^2 - 4*a*c)^(3/2) + 2*A*b*f*(4*a*c - b^2) - 2*B*a*f*(4*a*c - b^2) + 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2))*(2*b*c^3*d^3 + 4*c^4*d^3*x - a^2*b^2*f^3*x + 4*a*b^3*d*f^2 - 2*b^3*c*d^2*f + 4*a^3*c*f^3*x + 3*b^4*d*f^2*x + 12*a*b*c^2*d^2*f - 14*a^2*b*c*d*f^2 - 4*a*c^3*d^2*f*x - 4*a^2*c^2*d*f^2*x + 3*b^2*c^2*d^2*f*x - 10*a*b^2*c*d*f^2*x))/(2*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f))))/(4*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) - c*f^2*x*(2*B^2*c^2*d - 4*A^2*c^2*f - B^2*b^2*f + 2*B^2*a*c*f + 2*A*B*b*c*f) + A^2*b*c^2*f^3 + B^2*b*c^2*d*f^2 - 4*A*B*a*c^2*f^3 + A*B*b^2*c*f^3 - 4*A*B*c^3*d*f^2)*(A*f*(b^2 - 4*a*c)^(3/2) + 2*A*b*f*(4*a*c - b^2) - 2*B*a*f*(4*a*c - b^2) + 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2)))/(4*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)))*(A*f*(b^2 - 4*a*c)^(3/2) + 2*A*b*f*(4*a*c - b^2) - 2*B*a*f*(4*a*c - b^2) + 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2)))/(b^2*(4*a^2*f^2 + 4*c^2*d^2 + 4*b^2*d*f - 24*a*c*d*f) - 4*a*c*(4*a^2*f^2 + 4*c^2*d^2 - 8*a*c*d*f)) + (log(B^3*c^2*f^2*x + A*B^2*c^2*f^2 + ((((A*f*(b^2 - 4*a*c)^(3/2) - 2*A*b*f*(4*a*c - b^2) + 2*B*a*f*(4*a*c - b^2) - 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2))*(4*A*a^2*c^2*f^4 + 4*A*c^4*d^2*f^2 - c*f^2*x*(3*A*b^3*f^2 + 4*B*c^3*d^2 - B*a*b^2*f^2 + 4*B*a^2*c*f^2 - 12*A*a*b*c*f^2 + 12*A*b*c^2*d*f - 8*B*a*c^2*d*f - 3*B*b^2*c*d*f) - 3*A*b^2*c^2*d*f^3 - 4*B*b*c^3*d^2*f^2 - A*a*b^2*c*f^4 - 8*A*a*c^3*d*f^3 + B*b^3*c*d*f^3 + 4*B*a*b*c^2*d*f^3 + (c*f^2*(A*f*(b^2 - 4*a*c)^(3/2) - 2*A*b*f*(4*a*c - b^2) + 2*B*a*f*(4*a*c - b^2) - 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2))*(2*b*c^3*d^3 + 4*c^4*d^3*x - a^2*b^2*f^3*x + 4*a*b^3*d*f^2 - 2*b^3*c*d^2*f + 4*a^3*c*f^3*x + 3*b^4*d*f^2*x + 12*a*b*c^2*d^2*f - 14*a^2*b*c*d*f^2 - 4*a*c^3*d^2*f*x - 4*a^2*c^2*d*f^2*x + 3*b^2*c^2*d^2*f*x - 10*a*b^2*c*d*f^2*x))/(2*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f))))/(4*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) - c*f^2*x*(2*B^2*c^2*d - 4*A^2*c^2*f - B^2*b^2*f + 2*B^2*a*c*f + 2*A*B*b*c*f) + A^2*b*c^2*f^3 + B^2*b*c^2*d*f^2 - 4*A*B*a*c^2*f^3 + A*B*b^2*c*f^3 - 4*A*B*c^3*d*f^2)*(A*f*(b^2 - 4*a*c)^(3/2) - 2*A*b*f*(4*a*c - b^2) + 2*B*a*f*(4*a*c - b^2) - 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2)))/(4*(4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)))*(A*f*(b^2 - 4*a*c)^(3/2) - 2*A*b*f*(4*a*c - b^2) + 2*B*a*f*(4*a*c - b^2) - 2*B*c*d*(4*a*c - b^2) + 4*A*c^2*d*(b^2 - 4*a*c)^(1/2) + A*b^2*f*(b^2 - 4*a*c)^(1/2) - 2*B*a*b*f*(b^2 - 4*a*c)^(1/2) - 2*B*b*c*d*(b^2 - 4*a*c)^(1/2)))/(b^2*(4*a^2*f^2 + 4*c^2*d^2 + 4*b^2*d*f - 24*a*c*d*f) - 4*a*c*(4*a^2*f^2 + 4*c^2*d^2 - 8*a*c*d*f))","B"
5,1,23006,596,7.534377,"\text{Not used}","int((A + B*x)/((d + f*x^2)*(a + b*x + c*x^2)^2),x)","\frac{\frac{2\,B\,f\,a^2\,c-B\,f\,a\,b^2-3\,A\,f\,a\,b\,c-2\,B\,d\,a\,c^2+A\,f\,b^3+A\,d\,b\,c^2}{\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}-\frac{x\,\left(-A\,f\,b^2\,c+B\,d\,b\,c^2+B\,a\,f\,b\,c-2\,A\,d\,c^3+2\,A\,a\,f\,c^2\right)}{\left(4\,a\,c-b^2\right)\,\left(a^2\,f^2-2\,a\,c\,d\,f+b^2\,d\,f+c^2\,d^2\right)}}{c\,x^2+b\,x+a}+\left(\sum 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0}\,d^9\,z^4-4\,b^{14}\,d^5\,f^4\,z^4-4\,b^6\,c^8\,d^9\,z^4+256\,a^3\,c^{11}\,d^9\,z^4+912\,A\,B\,a^6\,b\,c^3\,d\,f^6\,z^2+192\,A\,B\,a^4\,b^5\,c\,d\,f^6\,z^2+920\,A\,B\,a^4\,b^3\,c^3\,d^2\,f^5\,z^2-480\,A\,B\,a^2\,b^5\,c^3\,d^3\,f^4\,z^2-336\,A\,B\,a^2\,b^3\,c^5\,d^4\,f^3\,z^2-272\,A\,B\,a^3\,b^3\,c^4\,d^3\,f^4\,z^2+240\,A\,B\,a^3\,b^5\,c^2\,d^2\,f^5\,z^2+192\,A\,B\,a\,b\,c^8\,d^6\,f\,z^2-2496\,A\,B\,a^5\,b\,c^4\,d^2\,f^5\,z^2+1872\,A\,B\,a^4\,b\,c^5\,d^3\,f^4\,z^2-744\,A\,B\,a^5\,b^3\,c^2\,d\,f^6\,z^2-720\,A\,B\,a^2\,b\,c^7\,d^5\,f^2\,z^2+504\,A\,B\,a\,b^3\,c^6\,d^5\,f^2\,z^2+256\,A\,B\,a^3\,b\,c^6\,d^4\,f^3\,z^2+168\,A\,B\,a\,b^7\,c^2\,d^3\,f^4\,z^2-144\,A\,B\,a^2\,b^7\,c\,d^2\,f^5\,z^2+144\,A\,B\,a\,b^5\,c^4\,d^4\,f^3\,z^2-56\,B^2\,a\,b^2\,c^7\,d^6\,f\,z^2-36\,B^2\,a^5\,b^4\,c\,d\,f^6\,z^2-16\,B^2\,a\,b^8\,c\,d^3\,f^4\,z^2-164\,A^2\,a^3\,b^6\,c\,d\,f^6\,z^2-16\,A^2\,a\,b^8\,c\,d^2\,f^5\,z^2-96\,A\,B\,b^5\,c^5\,d^5\,f^2\,z^2-24\,A\,B\,b^7\,c^3\,d^4\,f^3\,z^2-580\,B^2\,a^4\,b^2\,c^4\,d^3\,f^4\,z^2+536\,B^2\,a^3\,b^4\,c^3\,d^3\,f^4\,z^2-348\,B^2\,a^4\,b^4\,c^2\,d^2\,f^5\,z^2+316\,B^2\,a^2\,b^2\,c^6\,d^5\,f^2\,z^2+200\,B^2\,a^5\,b^2\,c^3\,d^2\,f^5\,z^2-120\,B^2\,a^2\,b^4\,c^4\,d^4\,f^3\,z^2-66\,B^2\,a^2\,b^6\,c^2\,d^3\,f^4\,z^2-16\,B^2\,a^3\,b^2\,c^5\,d^4\,f^3\,z^2+1952\,A^2\,a^4\,b^2\,c^4\,d^2\,f^5\,z^2-1792\,A^2\,a^3\,b^2\,c^5\,d^3\,f^4\,z^2-1272\,A^2\,a^3\,b^4\,c^3\,d^2\,f^5\,z^2+976\,A^2\,a^2\,b^2\,c^6\,d^4\,f^3\,z^2+960\,A^2\,a^2\,b^4\,c^4\,d^3\,f^4\,z^2+282\,A^2\,a^2\,b^6\,c^2\,d^2\,f^5\,z^2-72\,A\,B\,b^3\,c^7\,d^6\,f\,z^2-16\,A\,B\,b^9\,c\,d^3\,f^4\,z^2-16\,A\,B\,a^3\,b^7\,d\,f^6\,z^2+16\,A\,B\,a\,b^9\,d^2\,f^5\,z^2-180\,B^2\,a\,b^4\,c^5\,d^5\,f^2\,z^2+132\,B^2\,a^6\,b^2\,c^2\,d\,f^6\,z^2+108\,B^2\,a^3\,b^6\,c\,d^2\,f^5\,z^2+20\,B^2\,a\,b^6\,c^3\,d^4\,f^3\,z^2-736\,A^2\,a^5\,b^2\,c^3\,d\,f^6\,z^2+624\,A^2\,a^4\,b^4\,c^2\,d\,f^6\,z^2-416\,A^2\,a\,b^2\,c^7\,d^5\,f^2\,z^2-276\,A^2\,a\,b^4\,c^5\,d^4\,f^3\,z^2-196\,A^2\,a\,b^6\,c^3\,d^3\,f^4\,z^2+31\,B^2\,b^6\,c^4\,d^5\,f^2\,z^2+2\,B^2\,b^8\,c^2\,d^4\,f^3\,z^2-768\,B^2\,a^5\,c^5\,d^3\,f^4\,z^2+512\,B^2\,a^6\,c^4\,d^2\,f^5\,z^2+512\,B^2\,a^4\,c^6\,d^4\,f^3\,z^2-128\,B^2\,a^3\,c^7\,d^5\,f^2\,z^2+80\,A^2\,b^4\,c^6\,d^5\,f^2\,z^2+31\,A^2\,b^6\,c^4\,d^4\,f^3\,z^2+14\,A^2\,b^8\,c^2\,d^3\,f^4\,z^2-1152\,A^2\,a^3\,c^7\,d^4\,f^3\,z^2+1008\,A^2\,a^4\,c^6\,d^3\,f^4\,z^2+624\,A^2\,a^2\,c^8\,d^5\,f^2\,z^2-288\,A^2\,a^5\,c^5\,d^2\,f^5\,z^2-10\,B^2\,a^2\,b^8\,d^2\,f^5\,z^2-48\,A^2\,a^6\,b^2\,c^2\,f^7\,z^2-16\,A\,B\,b\,c^9\,d^7\,z^2+20\,B^2\,b^4\,c^6\,d^6\,f\,z^2-128\,B^2\,a^7\,c^3\,d\,f^6\,z^2+64\,A^2\,b^2\,c^8\,d^6\,f\,z^2-112\,A^2\,a^6\,c^4\,d\,f^6\,z^2+3\,B^2\,a^4\,b^6\,d\,f^6\,z^2+14\,A^2\,a^2\,b^8\,d\,f^6\,z^2+12\,A^2\,a^5\,b^4\,c\,f^7\,z^2-160\,A^2\,a\,c^9\,d^6\,f\,z^2+3\,B^2\,b^{10}\,d^3\,f^4\,z^2-A^2\,b^{10}\,d^2\,f^5\,z^2+64\,A^2\,a^7\,c^3\,f^7\,z^2+4\,B^2\,b^2\,c^8\,d^7\,z^2-A^2\,a^4\,b^6\,f^7\,z^2+16\,A^2\,c^{10}\,d^7\,z^2-160\,A\,B^2\,a\,b\,c^6\,d^4\,f^2\,z+112\,A\,B^2\,a^4\,b\,c^3\,d\,f^5\,z-24\,A\,B^2\,a^2\,b^5\,c\,d\,f^5\,z+480\,A^2\,B\,a^2\,b^2\,c^4\,d^2\,f^4\,z-176\,A\,B^2\,a^2\,b^3\,c^3\,d^2\,f^4\,z-10\,A^2\,B\,a\,b^6\,c\,d\,f^5\,z+384\,A\,B^2\,a^2\,b\,c^5\,d^3\,f^3\,z-352\,A\,B^2\,a^3\,b\,c^4\,d^2\,f^4\,z-288\,A^2\,B\,a\,b^2\,c^5\,d^3\,f^3\,z-160\,A^2\,B\,a^3\,b^2\,c^3\,d\,f^5\,z-148\,A^2\,B\,a\,b^4\,c^3\,d^2\,f^4\,z+112\,A\,B^2\,a\,b^3\,c^4\,d^3\,f^3\,z+72\,A^2\,B\,a^2\,b^4\,c^2\,d\,f^5\,z+72\,A\,B^2\,a\,b^5\,c^2\,d^2\,f^4\,z+48\,A\,B^2\,a^3\,b^3\,c^2\,d\,f^5\,z+48\,B^3\,a\,b^2\,c^5\,d^4\,f^2\,z-36\,B^3\,a^4\,b^2\,c^2\,d\,f^5\,z-4\,B^3\,a\,b^4\,c^3\,d^3\,f^3\,z-480\,A^3\,a^2\,b\,c^5\,d^2\,f^4\,z-160\,A^3\,a^2\,b^3\,c^3\,d\,f^5\,z+128\,A^3\,a\,b^3\,c^4\,d^2\,f^4\,z+112\,A^2\,B\,b^4\,c^4\,d^3\,f^3\,z-64\,A\,B^2\,b^5\,c^3\,d^3\,f^3\,z+16\,A^2\,B\,b^2\,c^6\,d^4\,f^2\,z+16\,A\,B^2\,b^3\,c^5\,d^4\,f^2\,z-A^2\,B\,b^6\,c^2\,d^2\,f^4\,z+448\,A^2\,B\,a^3\,c^5\,d^2\,f^4\,z-352\,A^2\,B\,a^2\,c^6\,d^3\,f^3\,z-48\,A^2\,B\,a^4\,b^2\,c^2\,f^6\,z+12\,B^3\,a^3\,b^4\,c\,d\,f^5\,z-10\,B^3\,a\,b^6\,c\,d^2\,f^4\,z+416\,A^3\,a^3\,b\,c^4\,d\,f^5\,z+224\,A^3\,a\,b\,c^6\,d^3\,f^3\,z+24\,A^3\,a\,b^5\,c^2\,d\,f^5\,z-2\,A\,B^2\,b^7\,c\,d^2\,f^4\,z-272\,A^2\,B\,a^4\,c^4\,d\,f^5\,z+128\,A^2\,B\,a\,c^7\,d^4\,f^2\,z+12\,A^2\,B\,a^3\,b^4\,c\,f^6\,z-120\,B^3\,a^2\,b^2\,c^4\,d^3\,f^3\,z+112\,B^3\,a^3\,b^2\,c^3\,d^2\,f^4\,z+16\,A\,B^2\,b\,c^7\,d^5\,f\,z+2\,A\,B^2\,a\,b^7\,d\,f^5\,z-2\,A^3\,b^7\,c\,d\,f^5\,z-16\,A^2\,B\,c^8\,d^5\,f\,z+11\,B^3\,b^6\,c^2\,d^3\,f^3\,z-8\,B^3\,b^4\,c^4\,d^4\,f^2\,z-64\,A^3\,b^3\,c^5\,d^3\,f^3\,z+96\,A^3\,a^3\,b^3\,c^2\,f^6\,z-4\,B^3\,b^2\,c^6\,d^5\,f\,z-32\,A^3\,b\,c^7\,d^4\,f^2\,z-B^3\,a^2\,b^6\,d\,f^5\,z-128\,A^3\,a^4\,b\,c^3\,f^6\,z-24\,A^3\,a^2\,b^5\,c\,f^6\,z+64\,A^2\,B\,a^5\,c^3\,f^6\,z-A^2\,B\,a^2\,b^6\,f^6\,z+A^2\,B\,b^8\,d\,f^5\,z+2\,A^3\,a\,b^7\,f^6\,z+B^3\,b^8\,d^2\,f^4\,z+32\,A^3\,B\,a\,b\,c^4\,d\,f^4-18\,A^2\,B^2\,a\,b^2\,c^3\,d\,f^4+32\,A\,B^3\,a\,b\,c^4\,d^2\,f^3-28\,A\,B^3\,a^2\,b\,c^3\,d\,f^4+6\,A\,B^3\,a\,b^3\,c^2\,d\,f^4-10\,A^3\,B\,b^3\,c^3\,d\,f^4-4\,A^3\,B\,b\,c^5\,d^2\,f^3-4\,A\,B^3\,b\,c^5\,d^3\,f^2-28\,A^3\,B\,a^2\,b\,c^3\,f^5+6\,A^3\,B\,a\,b^3\,c^2\,f^5+9\,A^2\,B^2\,b^2\,c^4\,d^2\,f^3-3\,A^2\,B^2\,a^2\,b^2\,c^2\,f^5-10\,B^4\,a\,b^2\,c^3\,d^2\,f^3-3\,B^4\,a^2\,b^2\,c^2\,d\,f^4-10\,A\,B^3\,b^3\,c^3\,d^2\,f^3+3\,A^2\,B^2\,b^4\,c^2\,d\,f^4+36\,A^2\,B^2\,a^2\,c^4\,d\,f^4-24\,A^2\,B^2\,a\,c^5\,d^2\,f^3+4\,A^2\,B^2\,c^6\,d^3\,f^2+16\,A^2\,B^2\,a^3\,c^3\,f^5+16\,B^4\,a^3\,c^3\,d\,f^4+8\,A^4\,b^2\,c^4\,d\,f^4-8\,A^4\,a\,b^2\,c^3\,f^5-24\,A^4\,a\,c^5\,d\,f^4+3\,B^4\,b^4\,c^2\,d^2\,f^3+4\,A^4\,c^6\,d^2\,f^3+36\,A^4\,a^2\,c^4\,f^5+B^4\,b^2\,c^4\,d^3\,f^2,z,k\right)\right)","Not used",1,"((A*b^3*f + A*b*c^2*d - 2*B*a*c^2*d - B*a*b^2*f + 2*B*a^2*c*f - 3*A*a*b*c*f)/((4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)) - (x*(2*A*a*c^2*f - 2*A*c^3*d + B*b*c^2*d - A*b^2*c*f + B*a*b*c*f))/((4*a*c - b^2)*(a^2*f^2 + c^2*d^2 + b^2*d*f - 2*a*c*d*f)))/(a + b*x + c*x^2) + symsum(log((x*(4*A^3*b^3*c^4*f^6 + 16*B^3*a^3*c^4*f^6 - 3*B^3*a^2*b^2*c^3*f^6 + B^3*b^2*c^5*d^2*f^4 - 16*A^3*a*b*c^5*f^6 + 20*A^2*B*a^2*c^5*f^6 - 3*A^2*B*b^4*c^3*f^6 + 4*A^2*B*c^7*d^2*f^4 - 16*B^3*a^2*c^5*d*f^5 + 6*B^3*a*b^2*c^4*d*f^5 - 24*A^2*B*a*c^6*d*f^5 + 6*A*B^2*a*b^3*c^3*f^6 - 28*A*B^2*a^2*b*c^4*f^6 + 8*A^2*B*a*b^2*c^4*f^6 - 4*A*B^2*b*c^6*d^2*f^4 - 6*A*B^2*b^3*c^4*d*f^5 + 8*A^2*B*b^2*c^5*d*f^5 + 16*A*B^2*a*b*c^5*d*f^5))/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 + 2*b^6*c^2*d^3*f + 96*a^4*c^4*d^2*f^2 + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3) - root(2560*a^3*b^2*c^9*d^8*f*z^4 - 1152*a^2*b^4*c^8*d^8*f*z^4 + 384*a^5*b^8*c*d^3*f^6*z^4 + 384*a*b^8*c^5*d^7*f^2*z^4 + 288*a^3*b^10*c*d^4*f^5*z^4 + 288*a*b^10*c^3*d^6*f^3*z^4 + 224*a^7*b^6*c*d^2*f^7*z^4 - 192*a^10*b^2*c^2*d*f^8*z^4 + 224*a*b^6*c^7*d^8*f*z^4 + 80*a*b^12*c*d^5*f^4*z^4 + 48*a^9*b^4*c*d*f^8*z^4 - 33920*a^6*b^2*c^6*d^5*f^4*z^4 + 27936*a^5*b^4*c^5*d^5*f^4*z^4 + 26112*a^7*b^2*c^5*d^4*f^5*z^4 + 26112*a^5*b^2*c^7*d^6*f^3*z^4 - 20352*a^6*b^4*c^4*d^4*f^5*z^4 - 20352*a^4*b^4*c^6*d^6*f^3*z^4 - 13080*a^4*b^6*c^4*d^5*f^4*z^4 - 11520*a^8*b^2*c^4*d^3*f^6*z^4 - 11520*a^4*b^2*c^8*d^7*f^2*z^4 + 8736*a^5*b^6*c^3*d^4*f^5*z^4 + 8736*a^3*b^6*c^5*d^6*f^3*z^4 + 7488*a^7*b^4*c^3*d^3*f^6*z^4 + 7488*a^3*b^4*c^7*d^7*f^2*z^4 + 3840*a^3*b^8*c^3*d^5*f^4*z^4 + 2560*a^9*b^2*c^3*d^2*f^7*z^4 - 2416*a^6*b^6*c^2*d^3*f^6*z^4 - 2416*a^2*b^6*c^6*d^7*f^2*z^4 - 2160*a^4*b^8*c^2*d^4*f^5*z^4 - 2160*a^2*b^8*c^4*d^6*f^3*z^4 - 1152*a^8*b^4*c^2*d^2*f^7*z^4 - 720*a^2*b^10*c^2*d^5*f^4*z^4 - 16*b^8*c^6*d^8*f*z^4 - 2048*a^4*c^10*d^8*f*z^4 + 256*a^11*c^3*d*f^8*z^4 - 4*a^8*b^6*d*f^8*z^4 + 48*a*b^4*c^9*d^9*z^4 - 24*b^10*c^4*d^7*f^2*z^4 - 16*b^12*c^2*d^6*f^3*z^4 + 17920*a^7*c^7*d^5*f^4*z^4 - 14336*a^8*c^6*d^4*f^5*z^4 - 14336*a^6*c^8*d^6*f^3*z^4 + 7168*a^9*c^5*d^3*f^6*z^4 + 7168*a^5*c^9*d^7*f^2*z^4 - 2048*a^10*c^4*d^2*f^7*z^4 - 24*a^4*b^10*d^3*f^6*z^4 - 16*a^6*b^8*d^2*f^7*z^4 - 16*a^2*b^12*d^4*f^5*z^4 - 192*a^2*b^2*c^10*d^9*z^4 - 4*b^14*d^5*f^4*z^4 - 4*b^6*c^8*d^9*z^4 + 256*a^3*c^11*d^9*z^4 + 912*A*B*a^6*b*c^3*d*f^6*z^2 + 192*A*B*a^4*b^5*c*d*f^6*z^2 + 920*A*B*a^4*b^3*c^3*d^2*f^5*z^2 - 480*A*B*a^2*b^5*c^3*d^3*f^4*z^2 - 336*A*B*a^2*b^3*c^5*d^4*f^3*z^2 - 272*A*B*a^3*b^3*c^4*d^3*f^4*z^2 + 240*A*B*a^3*b^5*c^2*d^2*f^5*z^2 + 192*A*B*a*b*c^8*d^6*f*z^2 - 2496*A*B*a^5*b*c^4*d^2*f^5*z^2 + 1872*A*B*a^4*b*c^5*d^3*f^4*z^2 - 744*A*B*a^5*b^3*c^2*d*f^6*z^2 - 720*A*B*a^2*b*c^7*d^5*f^2*z^2 + 504*A*B*a*b^3*c^6*d^5*f^2*z^2 + 256*A*B*a^3*b*c^6*d^4*f^3*z^2 + 168*A*B*a*b^7*c^2*d^3*f^4*z^2 - 144*A*B*a^2*b^7*c*d^2*f^5*z^2 + 144*A*B*a*b^5*c^4*d^4*f^3*z^2 - 56*B^2*a*b^2*c^7*d^6*f*z^2 - 36*B^2*a^5*b^4*c*d*f^6*z^2 - 16*B^2*a*b^8*c*d^3*f^4*z^2 - 164*A^2*a^3*b^6*c*d*f^6*z^2 - 16*A^2*a*b^8*c*d^2*f^5*z^2 - 96*A*B*b^5*c^5*d^5*f^2*z^2 - 24*A*B*b^7*c^3*d^4*f^3*z^2 - 580*B^2*a^4*b^2*c^4*d^3*f^4*z^2 + 536*B^2*a^3*b^4*c^3*d^3*f^4*z^2 - 348*B^2*a^4*b^4*c^2*d^2*f^5*z^2 + 316*B^2*a^2*b^2*c^6*d^5*f^2*z^2 + 200*B^2*a^5*b^2*c^3*d^2*f^5*z^2 - 120*B^2*a^2*b^4*c^4*d^4*f^3*z^2 - 66*B^2*a^2*b^6*c^2*d^3*f^4*z^2 - 16*B^2*a^3*b^2*c^5*d^4*f^3*z^2 + 1952*A^2*a^4*b^2*c^4*d^2*f^5*z^2 - 1792*A^2*a^3*b^2*c^5*d^3*f^4*z^2 - 1272*A^2*a^3*b^4*c^3*d^2*f^5*z^2 + 976*A^2*a^2*b^2*c^6*d^4*f^3*z^2 + 960*A^2*a^2*b^4*c^4*d^3*f^4*z^2 + 282*A^2*a^2*b^6*c^2*d^2*f^5*z^2 - 72*A*B*b^3*c^7*d^6*f*z^2 - 16*A*B*b^9*c*d^3*f^4*z^2 - 16*A*B*a^3*b^7*d*f^6*z^2 + 16*A*B*a*b^9*d^2*f^5*z^2 - 180*B^2*a*b^4*c^5*d^5*f^2*z^2 + 132*B^2*a^6*b^2*c^2*d*f^6*z^2 + 108*B^2*a^3*b^6*c*d^2*f^5*z^2 + 20*B^2*a*b^6*c^3*d^4*f^3*z^2 - 736*A^2*a^5*b^2*c^3*d*f^6*z^2 + 624*A^2*a^4*b^4*c^2*d*f^6*z^2 - 416*A^2*a*b^2*c^7*d^5*f^2*z^2 - 276*A^2*a*b^4*c^5*d^4*f^3*z^2 - 196*A^2*a*b^6*c^3*d^3*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^3*z^2 - 768*B^2*a^5*c^5*d^3*f^4*z^2 + 512*B^2*a^6*c^4*d^2*f^5*z^2 + 512*B^2*a^4*c^6*d^4*f^3*z^2 - 128*B^2*a^3*c^7*d^5*f^2*z^2 + 80*A^2*b^4*c^6*d^5*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^3*z^2 + 14*A^2*b^8*c^2*d^3*f^4*z^2 - 1152*A^2*a^3*c^7*d^4*f^3*z^2 + 1008*A^2*a^4*c^6*d^3*f^4*z^2 + 624*A^2*a^2*c^8*d^5*f^2*z^2 - 288*A^2*a^5*c^5*d^2*f^5*z^2 - 10*B^2*a^2*b^8*d^2*f^5*z^2 - 48*A^2*a^6*b^2*c^2*f^7*z^2 - 16*A*B*b*c^9*d^7*z^2 + 20*B^2*b^4*c^6*d^6*f*z^2 - 128*B^2*a^7*c^3*d*f^6*z^2 + 64*A^2*b^2*c^8*d^6*f*z^2 - 112*A^2*a^6*c^4*d*f^6*z^2 + 3*B^2*a^4*b^6*d*f^6*z^2 + 14*A^2*a^2*b^8*d*f^6*z^2 + 12*A^2*a^5*b^4*c*f^7*z^2 - 160*A^2*a*c^9*d^6*f*z^2 + 3*B^2*b^10*d^3*f^4*z^2 - A^2*b^10*d^2*f^5*z^2 + 64*A^2*a^7*c^3*f^7*z^2 + 4*B^2*b^2*c^8*d^7*z^2 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416*A^3*a^3*b*c^4*d*f^5*z + 224*A^3*a*b*c^6*d^3*f^3*z + 24*A^3*a*b^5*c^2*d*f^5*z - 2*A*B^2*b^7*c*d^2*f^4*z - 272*A^2*B*a^4*c^4*d*f^5*z + 128*A^2*B*a*c^7*d^4*f^2*z + 12*A^2*B*a^3*b^4*c*f^6*z - 120*B^3*a^2*b^2*c^4*d^3*f^3*z + 112*B^3*a^3*b^2*c^3*d^2*f^4*z + 16*A*B^2*b*c^7*d^5*f*z + 2*A*B^2*a*b^7*d*f^5*z - 2*A^3*b^7*c*d*f^5*z - 16*A^2*B*c^8*d^5*f*z + 11*B^3*b^6*c^2*d^3*f^3*z - 8*B^3*b^4*c^4*d^4*f^2*z - 64*A^3*b^3*c^5*d^3*f^3*z + 96*A^3*a^3*b^3*c^2*f^6*z - 4*B^3*b^2*c^6*d^5*f*z - 32*A^3*b*c^7*d^4*f^2*z - B^3*a^2*b^6*d*f^5*z - 128*A^3*a^4*b*c^3*f^6*z - 24*A^3*a^2*b^5*c*f^6*z + 64*A^2*B*a^5*c^3*f^6*z - A^2*B*a^2*b^6*f^6*z + A^2*B*b^8*d*f^5*z + 2*A^3*a*b^7*f^6*z + B^3*b^8*d^2*f^4*z + 32*A^3*B*a*b*c^4*d*f^4 - 18*A^2*B^2*a*b^2*c^3*d*f^4 + 32*A*B^3*a*b*c^4*d^2*f^3 - 28*A*B^3*a^2*b*c^3*d*f^4 + 6*A*B^3*a*b^3*c^2*d*f^4 - 10*A^3*B*b^3*c^3*d*f^4 - 4*A^3*B*b*c^5*d^2*f^3 - 4*A*B^3*b*c^5*d^3*f^2 - 28*A^3*B*a^2*b*c^3*f^5 + 6*A^3*B*a*b^3*c^2*f^5 + 9*A^2*B^2*b^2*c^4*d^2*f^3 - 3*A^2*B^2*a^2*b^2*c^2*f^5 - 10*B^4*a*b^2*c^3*d^2*f^3 - 3*B^4*a^2*b^2*c^2*d*f^4 - 10*A*B^3*b^3*c^3*d^2*f^3 + 3*A^2*B^2*b^4*c^2*d*f^4 + 36*A^2*B^2*a^2*c^4*d*f^4 - 24*A^2*B^2*a*c^5*d^2*f^3 + 4*A^2*B^2*c^6*d^3*f^2 + 16*A^2*B^2*a^3*c^3*f^5 + 16*B^4*a^3*c^3*d*f^4 + 8*A^4*b^2*c^4*d*f^4 - 8*A^4*a*b^2*c^3*f^5 - 24*A^4*a*c^5*d*f^4 + 3*B^4*b^4*c^2*d^2*f^3 + 4*A^4*c^6*d^2*f^3 + 36*A^4*a^2*c^4*f^5 + B^4*b^2*c^4*d^3*f^2, z, k)*(root(2560*a^3*b^2*c^9*d^8*f*z^4 - 1152*a^2*b^4*c^8*d^8*f*z^4 + 384*a^5*b^8*c*d^3*f^6*z^4 + 384*a*b^8*c^5*d^7*f^2*z^4 + 288*a^3*b^10*c*d^4*f^5*z^4 + 288*a*b^10*c^3*d^6*f^3*z^4 + 224*a^7*b^6*c*d^2*f^7*z^4 - 192*a^10*b^2*c^2*d*f^8*z^4 + 224*a*b^6*c^7*d^8*f*z^4 + 80*a*b^12*c*d^5*f^4*z^4 + 48*a^9*b^4*c*d*f^8*z^4 - 33920*a^6*b^2*c^6*d^5*f^4*z^4 + 27936*a^5*b^4*c^5*d^5*f^4*z^4 + 26112*a^7*b^2*c^5*d^4*f^5*z^4 + 26112*a^5*b^2*c^7*d^6*f^3*z^4 - 20352*a^6*b^4*c^4*d^4*f^5*z^4 - 20352*a^4*b^4*c^6*d^6*f^3*z^4 - 13080*a^4*b^6*c^4*d^5*f^4*z^4 - 11520*a^8*b^2*c^4*d^3*f^6*z^4 - 11520*a^4*b^2*c^8*d^7*f^2*z^4 + 8736*a^5*b^6*c^3*d^4*f^5*z^4 + 8736*a^3*b^6*c^5*d^6*f^3*z^4 + 7488*a^7*b^4*c^3*d^3*f^6*z^4 + 7488*a^3*b^4*c^7*d^7*f^2*z^4 + 3840*a^3*b^8*c^3*d^5*f^4*z^4 + 2560*a^9*b^2*c^3*d^2*f^7*z^4 - 2416*a^6*b^6*c^2*d^3*f^6*z^4 - 2416*a^2*b^6*c^6*d^7*f^2*z^4 - 2160*a^4*b^8*c^2*d^4*f^5*z^4 - 2160*a^2*b^8*c^4*d^6*f^3*z^4 - 1152*a^8*b^4*c^2*d^2*f^7*z^4 - 720*a^2*b^10*c^2*d^5*f^4*z^4 - 16*b^8*c^6*d^8*f*z^4 - 2048*a^4*c^10*d^8*f*z^4 + 256*a^11*c^3*d*f^8*z^4 - 4*a^8*b^6*d*f^8*z^4 + 48*a*b^4*c^9*d^9*z^4 - 24*b^10*c^4*d^7*f^2*z^4 - 16*b^12*c^2*d^6*f^3*z^4 + 17920*a^7*c^7*d^5*f^4*z^4 - 14336*a^8*c^6*d^4*f^5*z^4 - 14336*a^6*c^8*d^6*f^3*z^4 + 7168*a^9*c^5*d^3*f^6*z^4 + 7168*a^5*c^9*d^7*f^2*z^4 - 2048*a^10*c^4*d^2*f^7*z^4 - 24*a^4*b^10*d^3*f^6*z^4 - 16*a^6*b^8*d^2*f^7*z^4 - 16*a^2*b^12*d^4*f^5*z^4 - 192*a^2*b^2*c^10*d^9*z^4 - 4*b^14*d^5*f^4*z^4 - 4*b^6*c^8*d^9*z^4 + 256*a^3*c^11*d^9*z^4 + 912*A*B*a^6*b*c^3*d*f^6*z^2 + 192*A*B*a^4*b^5*c*d*f^6*z^2 + 920*A*B*a^4*b^3*c^3*d^2*f^5*z^2 - 480*A*B*a^2*b^5*c^3*d^3*f^4*z^2 - 336*A*B*a^2*b^3*c^5*d^4*f^3*z^2 - 272*A*B*a^3*b^3*c^4*d^3*f^4*z^2 + 240*A*B*a^3*b^5*c^2*d^2*f^5*z^2 + 192*A*B*a*b*c^8*d^6*f*z^2 - 2496*A*B*a^5*b*c^4*d^2*f^5*z^2 + 1872*A*B*a^4*b*c^5*d^3*f^4*z^2 - 744*A*B*a^5*b^3*c^2*d*f^6*z^2 - 720*A*B*a^2*b*c^7*d^5*f^2*z^2 + 504*A*B*a*b^3*c^6*d^5*f^2*z^2 + 256*A*B*a^3*b*c^6*d^4*f^3*z^2 + 168*A*B*a*b^7*c^2*d^3*f^4*z^2 - 144*A*B*a^2*b^7*c*d^2*f^5*z^2 + 144*A*B*a*b^5*c^4*d^4*f^3*z^2 - 56*B^2*a*b^2*c^7*d^6*f*z^2 - 36*B^2*a^5*b^4*c*d*f^6*z^2 - 16*B^2*a*b^8*c*d^3*f^4*z^2 - 164*A^2*a^3*b^6*c*d*f^6*z^2 - 16*A^2*a*b^8*c*d^2*f^5*z^2 - 96*A*B*b^5*c^5*d^5*f^2*z^2 - 24*A*B*b^7*c^3*d^4*f^3*z^2 - 580*B^2*a^4*b^2*c^4*d^3*f^4*z^2 + 536*B^2*a^3*b^4*c^3*d^3*f^4*z^2 - 348*B^2*a^4*b^4*c^2*d^2*f^5*z^2 + 316*B^2*a^2*b^2*c^6*d^5*f^2*z^2 + 200*B^2*a^5*b^2*c^3*d^2*f^5*z^2 - 120*B^2*a^2*b^4*c^4*d^4*f^3*z^2 - 66*B^2*a^2*b^6*c^2*d^3*f^4*z^2 - 16*B^2*a^3*b^2*c^5*d^4*f^3*z^2 + 1952*A^2*a^4*b^2*c^4*d^2*f^5*z^2 - 1792*A^2*a^3*b^2*c^5*d^3*f^4*z^2 - 1272*A^2*a^3*b^4*c^3*d^2*f^5*z^2 + 976*A^2*a^2*b^2*c^6*d^4*f^3*z^2 + 960*A^2*a^2*b^4*c^4*d^3*f^4*z^2 + 282*A^2*a^2*b^6*c^2*d^2*f^5*z^2 - 72*A*B*b^3*c^7*d^6*f*z^2 - 16*A*B*b^9*c*d^3*f^4*z^2 - 16*A*B*a^3*b^7*d*f^6*z^2 + 16*A*B*a*b^9*d^2*f^5*z^2 - 180*B^2*a*b^4*c^5*d^5*f^2*z^2 + 132*B^2*a^6*b^2*c^2*d*f^6*z^2 + 108*B^2*a^3*b^6*c*d^2*f^5*z^2 + 20*B^2*a*b^6*c^3*d^4*f^3*z^2 - 736*A^2*a^5*b^2*c^3*d*f^6*z^2 + 624*A^2*a^4*b^4*c^2*d*f^6*z^2 - 416*A^2*a*b^2*c^7*d^5*f^2*z^2 - 276*A^2*a*b^4*c^5*d^4*f^3*z^2 - 196*A^2*a*b^6*c^3*d^3*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^3*z^2 - 768*B^2*a^5*c^5*d^3*f^4*z^2 + 512*B^2*a^6*c^4*d^2*f^5*z^2 + 512*B^2*a^4*c^6*d^4*f^3*z^2 - 128*B^2*a^3*c^7*d^5*f^2*z^2 + 80*A^2*b^4*c^6*d^5*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^3*z^2 + 14*A^2*b^8*c^2*d^3*f^4*z^2 - 1152*A^2*a^3*c^7*d^4*f^3*z^2 + 1008*A^2*a^4*c^6*d^3*f^4*z^2 + 624*A^2*a^2*c^8*d^5*f^2*z^2 - 288*A^2*a^5*c^5*d^2*f^5*z^2 - 10*B^2*a^2*b^8*d^2*f^5*z^2 - 48*A^2*a^6*b^2*c^2*f^7*z^2 - 16*A*B*b*c^9*d^7*z^2 + 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33920*a^6*b^2*c^6*d^5*f^4*z^4 + 27936*a^5*b^4*c^5*d^5*f^4*z^4 + 26112*a^7*b^2*c^5*d^4*f^5*z^4 + 26112*a^5*b^2*c^7*d^6*f^3*z^4 - 20352*a^6*b^4*c^4*d^4*f^5*z^4 - 20352*a^4*b^4*c^6*d^6*f^3*z^4 - 13080*a^4*b^6*c^4*d^5*f^4*z^4 - 11520*a^8*b^2*c^4*d^3*f^6*z^4 - 11520*a^4*b^2*c^8*d^7*f^2*z^4 + 8736*a^5*b^6*c^3*d^4*f^5*z^4 + 8736*a^3*b^6*c^5*d^6*f^3*z^4 + 7488*a^7*b^4*c^3*d^3*f^6*z^4 + 7488*a^3*b^4*c^7*d^7*f^2*z^4 + 3840*a^3*b^8*c^3*d^5*f^4*z^4 + 2560*a^9*b^2*c^3*d^2*f^7*z^4 - 2416*a^6*b^6*c^2*d^3*f^6*z^4 - 2416*a^2*b^6*c^6*d^7*f^2*z^4 - 2160*a^4*b^8*c^2*d^4*f^5*z^4 - 2160*a^2*b^8*c^4*d^6*f^3*z^4 - 1152*a^8*b^4*c^2*d^2*f^7*z^4 - 720*a^2*b^10*c^2*d^5*f^4*z^4 - 16*b^8*c^6*d^8*f*z^4 - 2048*a^4*c^10*d^8*f*z^4 + 256*a^11*c^3*d*f^8*z^4 - 4*a^8*b^6*d*f^8*z^4 + 48*a*b^4*c^9*d^9*z^4 - 24*b^10*c^4*d^7*f^2*z^4 - 16*b^12*c^2*d^6*f^3*z^4 + 17920*a^7*c^7*d^5*f^4*z^4 - 14336*a^8*c^6*d^4*f^5*z^4 - 14336*a^6*c^8*d^6*f^3*z^4 + 7168*a^9*c^5*d^3*f^6*z^4 + 7168*a^5*c^9*d^7*f^2*z^4 - 2048*a^10*c^4*d^2*f^7*z^4 - 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544*A*a^2*b^5*c^4*d^2*f^6 + 1664*A*a^3*b^3*c^5*d^2*f^6 + 80*B*a^2*b^2*c^7*d^4*f^4 + 520*B*a^2*b^4*c^5*d^3*f^5 + 210*B*a^2*b^6*c^3*d^2*f^6 - 192*B*a^3*b^2*c^6*d^3*f^5 - 456*B*a^3*b^4*c^4*d^2*f^6 + 96*B*a^4*b^2*c^5*d^2*f^6 + 64*A*a*b*c^9*d^5*f^3 + 1088*A*a^5*b*c^5*d*f^7 + 2*B*a^2*b^8*c*d*f^7))/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 + 2*b^6*c^2*d^3*f + 96*a^4*c^4*d^2*f^2 + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3)) + (13*A^2*a^2*b^5*c^2*f^7 - 56*A^2*a^3*b^3*c^3*f^7 + 16*A^2*b^3*c^6*d^3*f^4 + A^2*b^5*c^4*d^2*f^5 + 8*B^2*b^3*c^6*d^4*f^3 + 9*B^2*b^5*c^4*d^3*f^4 - 64*A*B*a^5*c^4*f^7 - A^2*a*b^7*c*f^7 + 80*A^2*a^4*b*c^4*f^7 + 16*A^2*b*c^8*d^4*f^3 + 2*A^2*b^7*c^2*d*f^6 - 48*A^2*a*b*c^7*d^3*f^4 - 22*A^2*a*b^5*c^3*d*f^6 - 48*A^2*a^3*b*c^5*d*f^6 - 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11520*a^8*b^2*c^4*d^3*f^6*z^4 - 11520*a^4*b^2*c^8*d^7*f^2*z^4 + 8736*a^5*b^6*c^3*d^4*f^5*z^4 + 8736*a^3*b^6*c^5*d^6*f^3*z^4 + 7488*a^7*b^4*c^3*d^3*f^6*z^4 + 7488*a^3*b^4*c^7*d^7*f^2*z^4 + 3840*a^3*b^8*c^3*d^5*f^4*z^4 + 2560*a^9*b^2*c^3*d^2*f^7*z^4 - 2416*a^6*b^6*c^2*d^3*f^6*z^4 - 2416*a^2*b^6*c^6*d^7*f^2*z^4 - 2160*a^4*b^8*c^2*d^4*f^5*z^4 - 2160*a^2*b^8*c^4*d^6*f^3*z^4 - 1152*a^8*b^4*c^2*d^2*f^7*z^4 - 720*a^2*b^10*c^2*d^5*f^4*z^4 - 16*b^8*c^6*d^8*f*z^4 - 2048*a^4*c^10*d^8*f*z^4 + 256*a^11*c^3*d*f^8*z^4 - 4*a^8*b^6*d*f^8*z^4 + 48*a*b^4*c^9*d^9*z^4 - 24*b^10*c^4*d^7*f^2*z^4 - 16*b^12*c^2*d^6*f^3*z^4 + 17920*a^7*c^7*d^5*f^4*z^4 - 14336*a^8*c^6*d^4*f^5*z^4 - 14336*a^6*c^8*d^6*f^3*z^4 + 7168*a^9*c^5*d^3*f^6*z^4 + 7168*a^5*c^9*d^7*f^2*z^4 - 2048*a^10*c^4*d^2*f^7*z^4 - 24*a^4*b^10*d^3*f^6*z^4 - 16*a^6*b^8*d^2*f^7*z^4 - 16*a^2*b^12*d^4*f^5*z^4 - 192*a^2*b^2*c^10*d^9*z^4 - 4*b^14*d^5*f^4*z^4 - 4*b^6*c^8*d^9*z^4 + 256*a^3*c^11*d^9*z^4 + 912*A*B*a^6*b*c^3*d*f^6*z^2 + 192*A*B*a^4*b^5*c*d*f^6*z^2 + 920*A*B*a^4*b^3*c^3*d^2*f^5*z^2 - 480*A*B*a^2*b^5*c^3*d^3*f^4*z^2 - 336*A*B*a^2*b^3*c^5*d^4*f^3*z^2 - 272*A*B*a^3*b^3*c^4*d^3*f^4*z^2 + 240*A*B*a^3*b^5*c^2*d^2*f^5*z^2 + 192*A*B*a*b*c^8*d^6*f*z^2 - 2496*A*B*a^5*b*c^4*d^2*f^5*z^2 + 1872*A*B*a^4*b*c^5*d^3*f^4*z^2 - 744*A*B*a^5*b^3*c^2*d*f^6*z^2 - 720*A*B*a^2*b*c^7*d^5*f^2*z^2 + 504*A*B*a*b^3*c^6*d^5*f^2*z^2 + 256*A*B*a^3*b*c^6*d^4*f^3*z^2 + 168*A*B*a*b^7*c^2*d^3*f^4*z^2 - 144*A*B*a^2*b^7*c*d^2*f^5*z^2 + 144*A*B*a*b^5*c^4*d^4*f^3*z^2 - 56*B^2*a*b^2*c^7*d^6*f*z^2 - 36*B^2*a^5*b^4*c*d*f^6*z^2 - 16*B^2*a*b^8*c*d^3*f^4*z^2 - 164*A^2*a^3*b^6*c*d*f^6*z^2 - 16*A^2*a*b^8*c*d^2*f^5*z^2 - 96*A*B*b^5*c^5*d^5*f^2*z^2 - 24*A*B*b^7*c^3*d^4*f^3*z^2 - 580*B^2*a^4*b^2*c^4*d^3*f^4*z^2 + 536*B^2*a^3*b^4*c^3*d^3*f^4*z^2 - 348*B^2*a^4*b^4*c^2*d^2*f^5*z^2 + 316*B^2*a^2*b^2*c^6*d^5*f^2*z^2 + 200*B^2*a^5*b^2*c^3*d^2*f^5*z^2 - 120*B^2*a^2*b^4*c^4*d^4*f^3*z^2 - 66*B^2*a^2*b^6*c^2*d^3*f^4*z^2 - 16*B^2*a^3*b^2*c^5*d^4*f^3*z^2 + 1952*A^2*a^4*b^2*c^4*d^2*f^5*z^2 - 1792*A^2*a^3*b^2*c^5*d^3*f^4*z^2 - 1272*A^2*a^3*b^4*c^3*d^2*f^5*z^2 + 976*A^2*a^2*b^2*c^6*d^4*f^3*z^2 + 960*A^2*a^2*b^4*c^4*d^3*f^4*z^2 + 282*A^2*a^2*b^6*c^2*d^2*f^5*z^2 - 72*A*B*b^3*c^7*d^6*f*z^2 - 16*A*B*b^9*c*d^3*f^4*z^2 - 16*A*B*a^3*b^7*d*f^6*z^2 + 16*A*B*a*b^9*d^2*f^5*z^2 - 180*B^2*a*b^4*c^5*d^5*f^2*z^2 + 132*B^2*a^6*b^2*c^2*d*f^6*z^2 + 108*B^2*a^3*b^6*c*d^2*f^5*z^2 + 20*B^2*a*b^6*c^3*d^4*f^3*z^2 - 736*A^2*a^5*b^2*c^3*d*f^6*z^2 + 624*A^2*a^4*b^4*c^2*d*f^6*z^2 - 416*A^2*a*b^2*c^7*d^5*f^2*z^2 - 276*A^2*a*b^4*c^5*d^4*f^3*z^2 - 196*A^2*a*b^6*c^3*d^3*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^3*z^2 - 768*B^2*a^5*c^5*d^3*f^4*z^2 + 512*B^2*a^6*c^4*d^2*f^5*z^2 + 512*B^2*a^4*c^6*d^4*f^3*z^2 - 128*B^2*a^3*c^7*d^5*f^2*z^2 + 80*A^2*b^4*c^6*d^5*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^3*z^2 + 14*A^2*b^8*c^2*d^3*f^4*z^2 - 1152*A^2*a^3*c^7*d^4*f^3*z^2 + 1008*A^2*a^4*c^6*d^3*f^4*z^2 + 624*A^2*a^2*c^8*d^5*f^2*z^2 - 288*A^2*a^5*c^5*d^2*f^5*z^2 - 10*B^2*a^2*b^8*d^2*f^5*z^2 - 48*A^2*a^6*b^2*c^2*f^7*z^2 - 16*A*B*b*c^9*d^7*z^2 + 20*B^2*b^4*c^6*d^6*f*z^2 - 128*B^2*a^7*c^3*d*f^6*z^2 + 64*A^2*b^2*c^8*d^6*f*z^2 - 112*A^2*a^6*c^4*d*f^6*z^2 + 3*B^2*a^4*b^6*d*f^6*z^2 + 14*A^2*a^2*b^8*d*f^6*z^2 + 12*A^2*a^5*b^4*c*f^7*z^2 - 160*A^2*a*c^9*d^6*f*z^2 + 3*B^2*b^10*d^3*f^4*z^2 - A^2*b^10*d^2*f^5*z^2 + 64*A^2*a^7*c^3*f^7*z^2 + 4*B^2*b^2*c^8*d^7*z^2 - A^2*a^4*b^6*f^7*z^2 + 16*A^2*c^10*d^7*z^2 - 160*A*B^2*a*b*c^6*d^4*f^2*z + 112*A*B^2*a^4*b*c^3*d*f^5*z - 24*A*B^2*a^2*b^5*c*d*f^5*z + 480*A^2*B*a^2*b^2*c^4*d^2*f^4*z - 176*A*B^2*a^2*b^3*c^3*d^2*f^4*z - 10*A^2*B*a*b^6*c*d*f^5*z + 384*A*B^2*a^2*b*c^5*d^3*f^3*z - 352*A*B^2*a^3*b*c^4*d^2*f^4*z - 288*A^2*B*a*b^2*c^5*d^3*f^3*z - 160*A^2*B*a^3*b^2*c^3*d*f^5*z - 148*A^2*B*a*b^4*c^3*d^2*f^4*z + 112*A*B^2*a*b^3*c^4*d^3*f^3*z + 72*A^2*B*a^2*b^4*c^2*d*f^5*z + 72*A*B^2*a*b^5*c^2*d^2*f^4*z + 48*A*B^2*a^3*b^3*c^2*d*f^5*z + 48*B^3*a*b^2*c^5*d^4*f^2*z - 36*B^3*a^4*b^2*c^2*d*f^5*z - 4*B^3*a*b^4*c^3*d^3*f^3*z - 480*A^3*a^2*b*c^5*d^2*f^4*z - 160*A^3*a^2*b^3*c^3*d*f^5*z + 128*A^3*a*b^3*c^4*d^2*f^4*z + 112*A^2*B*b^4*c^4*d^3*f^3*z - 64*A*B^2*b^5*c^3*d^3*f^3*z + 16*A^2*B*b^2*c^6*d^4*f^2*z + 16*A*B^2*b^3*c^5*d^4*f^2*z - A^2*B*b^6*c^2*d^2*f^4*z + 448*A^2*B*a^3*c^5*d^2*f^4*z - 352*A^2*B*a^2*c^6*d^3*f^3*z - 48*A^2*B*a^4*b^2*c^2*f^6*z + 12*B^3*a^3*b^4*c*d*f^5*z - 10*B^3*a*b^6*c*d^2*f^4*z + 416*A^3*a^3*b*c^4*d*f^5*z + 224*A^3*a*b*c^6*d^3*f^3*z + 24*A^3*a*b^5*c^2*d*f^5*z - 2*A*B^2*b^7*c*d^2*f^4*z - 272*A^2*B*a^4*c^4*d*f^5*z + 128*A^2*B*a*c^7*d^4*f^2*z + 12*A^2*B*a^3*b^4*c*f^6*z - 120*B^3*a^2*b^2*c^4*d^3*f^3*z + 112*B^3*a^3*b^2*c^3*d^2*f^4*z + 16*A*B^2*b*c^7*d^5*f*z + 2*A*B^2*a*b^7*d*f^5*z - 2*A^3*b^7*c*d*f^5*z - 16*A^2*B*c^8*d^5*f*z + 11*B^3*b^6*c^2*d^3*f^3*z - 8*B^3*b^4*c^4*d^4*f^2*z - 64*A^3*b^3*c^5*d^3*f^3*z + 96*A^3*a^3*b^3*c^2*f^6*z - 4*B^3*b^2*c^6*d^5*f*z - 32*A^3*b*c^7*d^4*f^2*z - B^3*a^2*b^6*d*f^5*z - 128*A^3*a^4*b*c^3*f^6*z - 24*A^3*a^2*b^5*c*f^6*z + 64*A^2*B*a^5*c^3*f^6*z - A^2*B*a^2*b^6*f^6*z + A^2*B*b^8*d*f^5*z + 2*A^3*a*b^7*f^6*z + B^3*b^8*d^2*f^4*z + 32*A^3*B*a*b*c^4*d*f^4 - 18*A^2*B^2*a*b^2*c^3*d*f^4 + 32*A*B^3*a*b*c^4*d^2*f^3 - 28*A*B^3*a^2*b*c^3*d*f^4 + 6*A*B^3*a*b^3*c^2*d*f^4 - 10*A^3*B*b^3*c^3*d*f^4 - 4*A^3*B*b*c^5*d^2*f^3 - 4*A*B^3*b*c^5*d^3*f^2 - 28*A^3*B*a^2*b*c^3*f^5 + 6*A^3*B*a*b^3*c^2*f^5 + 9*A^2*B^2*b^2*c^4*d^2*f^3 - 3*A^2*B^2*a^2*b^2*c^2*f^5 - 10*B^4*a*b^2*c^3*d^2*f^3 - 3*B^4*a^2*b^2*c^2*d*f^4 - 10*A*B^3*b^3*c^3*d^2*f^3 + 3*A^2*B^2*b^4*c^2*d*f^4 + 36*A^2*B^2*a^2*c^4*d*f^4 - 24*A^2*B^2*a*c^5*d^2*f^3 + 4*A^2*B^2*c^6*d^3*f^2 + 16*A^2*B^2*a^3*c^3*f^5 + 16*B^4*a^3*c^3*d*f^4 + 8*A^4*b^2*c^4*d*f^4 - 8*A^4*a*b^2*c^3*f^5 - 24*A^4*a*c^5*d*f^4 + 3*B^4*b^4*c^2*d^2*f^3 + 4*A^4*c^6*d^2*f^3 + 36*A^4*a^2*c^4*f^5 + B^4*b^2*c^4*d^3*f^2, z, k), k, 1, 4)","B"
6,0,-1,331,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/(d - f*x^2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{d-f\,x^2} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/(d - f*x^2), x)","F"
7,0,-1,249,0.000000,"\text{Not used}","int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
8,0,-1,381,0.000000,"\text{Not used}","int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
9,0,-1,797,0.000000,"\text{Not used}","int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d - f*x^2)*(a + b*x + c*x^2)^(5/2)), x)","F"
10,0,-1,47,0.000000,"\text{Not used}","int((2*x + 1)/((x^2 - 1)*(x + x^2 - 1)^(1/2)),x)","\int \frac{2\,x+1}{\left(x^2-1\right)\,\sqrt{x^2+x-1}} \,d x","Not used",1,"int((2*x + 1)/((x^2 - 1)*(x + x^2 - 1)^(1/2)), x)","F"
11,0,-1,117,0.000000,"\text{Not used}","int((2*x + 1)/((x^2 + 1)*(x + x^2 - 1)^(1/2)),x)","\int \frac{2\,x+1}{\left(x^2+1\right)\,\sqrt{x^2+x-1}} \,d x","Not used",1,"int((2*x + 1)/((x^2 + 1)*(x + x^2 - 1)^(1/2)), x)","F"
12,0,-1,484,0.000000,"\text{Not used}","int((a - c + b*x)/((x^2 + 1)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{a-c+b\,x}{\left(x^2+1\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((a - c + b*x)/((x^2 + 1)*(a + b*x + c*x^2)^(1/2)), x)","F"
13,1,273,184,3.851996,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x + f*x^2),x)","x\,\left(\frac{A\,c+B\,b}{f}-\frac{B\,c\,e}{f^2}\right)-\frac{\ln\left(f\,x^2+e\,x+d\right)\,\left(B\,c\,e^4-4\,A\,b\,d\,f^3-4\,B\,a\,d\,f^3-A\,c\,e^3\,f-B\,b\,e^3\,f+A\,b\,e^2\,f^2+B\,a\,e^2\,f^2+4\,B\,c\,d^2\,f^2+4\,A\,c\,d\,e\,f^2+4\,B\,b\,d\,e\,f^2-5\,B\,c\,d\,e^2\,f\right)}{2\,\left(4\,d\,f^4-e^2\,f^3\right)}-\frac{\mathrm{atan}\left(\frac{e}{\sqrt{4\,d\,f-e^2}}+\frac{2\,f\,x}{\sqrt{4\,d\,f-e^2}}\right)\,\left(B\,c\,e^3-2\,A\,a\,f^3+A\,b\,e\,f^2+2\,A\,c\,d\,f^2+B\,a\,e\,f^2+2\,B\,b\,d\,f^2-A\,c\,e^2\,f-B\,b\,e^2\,f-3\,B\,c\,d\,e\,f\right)}{f^3\,\sqrt{4\,d\,f-e^2}}+\frac{B\,c\,x^2}{2\,f}","Not used",1,"x*((A*c + B*b)/f - (B*c*e)/f^2) - (log(d + e*x + f*x^2)*(B*c*e^4 - 4*A*b*d*f^3 - 4*B*a*d*f^3 - A*c*e^3*f - B*b*e^3*f + A*b*e^2*f^2 + B*a*e^2*f^2 + 4*B*c*d^2*f^2 + 4*A*c*d*e*f^2 + 4*B*b*d*e*f^2 - 5*B*c*d*e^2*f))/(2*(4*d*f^4 - e^2*f^3)) - (atan(e/(4*d*f - e^2)^(1/2) + (2*f*x)/(4*d*f - e^2)^(1/2))*(B*c*e^3 - 2*A*a*f^3 + A*b*e*f^2 + 2*A*c*d*f^2 + B*a*e*f^2 + 2*B*b*d*f^2 - A*c*e^2*f - B*b*e^2*f - 3*B*c*d*e*f))/(f^3*(4*d*f - e^2)^(1/2)) + (B*c*x^2)/(2*f)","B"
14,1,893,542,4.853959,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x + f*x^2),x)","x^3\,\left(\frac{A\,c^2+2\,B\,b\,c}{3\,f}-\frac{B\,c^2\,e}{3\,f^2}\right)+x\,\left(\frac{A\,b^2+2\,B\,a\,b+2\,A\,a\,c}{f}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{f}-\frac{B\,c^2\,e}{f^2}\right)}{f}+\frac{e\,\left(\frac{e\,\left(\frac{A\,c^2+2\,B\,b\,c}{f}-\frac{B\,c^2\,e}{f^2}\right)}{f}-\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{f}+\frac{B\,c^2\,d}{f^2}\right)}{f}\right)-x^2\,\left(\frac{e\,\left(\frac{A\,c^2+2\,B\,b\,c}{f}-\frac{B\,c^2\,e}{f^2}\right)}{2\,f}-\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{2\,f}+\frac{B\,c^2\,d}{2\,f^2}\right)-\frac{\ln\left(f\,x^2+e\,x+d\right)\,\left(-4\,B\,a^2\,d\,f^5+B\,a^2\,e^2\,f^4+8\,B\,a\,b\,d\,e\,f^4-8\,A\,a\,b\,d\,f^5-2\,B\,a\,b\,e^3\,f^3+2\,A\,a\,b\,e^2\,f^4+8\,B\,a\,c\,d^2\,f^4-10\,B\,a\,c\,d\,e^2\,f^3+8\,A\,a\,c\,d\,e\,f^4+2\,B\,a\,c\,e^4\,f^2-2\,A\,a\,c\,e^3\,f^3+4\,B\,b^2\,d^2\,f^4-5\,B\,b^2\,d\,e^2\,f^3+4\,A\,b^2\,d\,e\,f^4+B\,b^2\,e^4\,f^2-A\,b^2\,e^3\,f^3-16\,B\,b\,c\,d^2\,e\,f^3+8\,A\,b\,c\,d^2\,f^4+12\,B\,b\,c\,d\,e^3\,f^2-10\,A\,b\,c\,d\,e^2\,f^3-2\,B\,b\,c\,e^5\,f+2\,A\,b\,c\,e^4\,f^2-4\,B\,c^2\,d^3\,f^3+13\,B\,c^2\,d^2\,e^2\,f^2-8\,A\,c^2\,d^2\,e\,f^3-7\,B\,c^2\,d\,e^4\,f+6\,A\,c^2\,d\,e^3\,f^2+B\,c^2\,e^6-A\,c^2\,e^5\,f\right)}{2\,\left(4\,d\,f^6-e^2\,f^5\right)}+\frac{B\,c^2\,x^4}{4\,f}+\frac{\mathrm{atan}\left(\frac{e}{\sqrt{4\,d\,f-e^2}}+\frac{2\,f\,x}{\sqrt{4\,d\,f-e^2}}\right)\,\left(-B\,a^2\,e\,f^4+2\,A\,a^2\,f^5-4\,B\,a\,b\,d\,f^4+2\,B\,a\,b\,e^2\,f^3-2\,A\,a\,b\,e\,f^4+6\,B\,a\,c\,d\,e\,f^3-4\,A\,a\,c\,d\,f^4-2\,B\,a\,c\,e^3\,f^2+2\,A\,a\,c\,e^2\,f^3+3\,B\,b^2\,d\,e\,f^3-2\,A\,b^2\,d\,f^4-B\,b^2\,e^3\,f^2+A\,b^2\,e^2\,f^3+4\,B\,b\,c\,d^2\,f^3-8\,B\,b\,c\,d\,e^2\,f^2+6\,A\,b\,c\,d\,e\,f^3+2\,B\,b\,c\,e^4\,f-2\,A\,b\,c\,e^3\,f^2-5\,B\,c^2\,d^2\,e\,f^2+2\,A\,c^2\,d^2\,f^3+5\,B\,c^2\,d\,e^3\,f-4\,A\,c^2\,d\,e^2\,f^2-B\,c^2\,e^5+A\,c^2\,e^4\,f\right)}{f^5\,\sqrt{4\,d\,f-e^2}}","Not used",1,"x^3*((A*c^2 + 2*B*b*c)/(3*f) - (B*c^2*e)/(3*f^2)) + x*((A*b^2 + 2*A*a*c + 2*B*a*b)/f - (d*((A*c^2 + 2*B*b*c)/f - (B*c^2*e)/f^2))/f + (e*((e*((A*c^2 + 2*B*b*c)/f - (B*c^2*e)/f^2))/f - (B*b^2 + 2*A*b*c + 2*B*a*c)/f + (B*c^2*d)/f^2))/f) - x^2*((e*((A*c^2 + 2*B*b*c)/f - (B*c^2*e)/f^2))/(2*f) - (B*b^2 + 2*A*b*c + 2*B*a*c)/(2*f) + (B*c^2*d)/(2*f^2)) - (log(d + e*x + f*x^2)*(B*c^2*e^6 - 4*B*a^2*d*f^5 - A*c^2*e^5*f - A*b^2*e^3*f^3 + B*a^2*e^2*f^4 + 4*B*b^2*d^2*f^4 + B*b^2*e^4*f^2 - 4*B*c^2*d^3*f^3 + 6*A*c^2*d*e^3*f^2 - 8*A*c^2*d^2*e*f^3 - 5*B*b^2*d*e^2*f^3 - 8*A*a*b*d*f^5 - 2*B*b*c*e^5*f + 13*B*c^2*d^2*e^2*f^2 + 2*A*a*b*e^2*f^4 - 2*A*a*c*e^3*f^3 + 8*A*b*c*d^2*f^4 - 2*B*a*b*e^3*f^3 + 8*B*a*c*d^2*f^4 + 2*A*b*c*e^4*f^2 + 2*B*a*c*e^4*f^2 + 4*A*b^2*d*e*f^4 - 7*B*c^2*d*e^4*f - 10*A*b*c*d*e^2*f^3 - 10*B*a*c*d*e^2*f^3 + 12*B*b*c*d*e^3*f^2 - 16*B*b*c*d^2*e*f^3 + 8*A*a*c*d*e*f^4 + 8*B*a*b*d*e*f^4))/(2*(4*d*f^6 - e^2*f^5)) + (B*c^2*x^4)/(4*f) + (atan(e/(4*d*f - e^2)^(1/2) + (2*f*x)/(4*d*f - e^2)^(1/2))*(2*A*a^2*f^5 - B*c^2*e^5 - 2*A*b^2*d*f^4 - B*a^2*e*f^4 + A*c^2*e^4*f + A*b^2*e^2*f^3 + 2*A*c^2*d^2*f^3 - B*b^2*e^3*f^2 - 4*A*c^2*d*e^2*f^2 - 5*B*c^2*d^2*e*f^2 - 2*A*a*b*e*f^4 - 4*A*a*c*d*f^4 - 4*B*a*b*d*f^4 + 2*B*b*c*e^4*f + 2*A*a*c*e^2*f^3 + 2*B*a*b*e^2*f^3 - 2*A*b*c*e^3*f^2 - 2*B*a*c*e^3*f^2 + 4*B*b*c*d^2*f^3 + 3*B*b^2*d*e*f^3 + 5*B*c^2*d*e^3*f - 8*B*b*c*d*e^2*f^2 + 6*A*b*c*d*e*f^3 + 6*B*a*c*d*e*f^3))/(f^5*(4*d*f - e^2)^(1/2))","B"
15,-1,-1,406,0.000000,"\text{Not used}","int((A + B*x)/((a + b*x + c*x^2)*(d + e*x + f*x^2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
16,1,118429,1075,30.314326,"\text{Not used}","int((A + B*x)/((a + b*x + c*x^2)^2*(d + e*x + f*x^2)),x)","\left(\sum 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,A^2\,B^2\,b^4\,c^2\,e^2\,f^4-2\,A^2\,B^2\,b^3\,c^3\,e^3\,f^3+12\,A^2\,B^2\,a^2\,c^4\,e^2\,f^4+9\,A^2\,B^2\,b^2\,c^4\,d^2\,f^4-3\,A^2\,B^2\,a^2\,b^2\,c^2\,f^6-2\,B^4\,b^3\,c^3\,d^2\,e\,f^3+4\,B^4\,a^2\,c^4\,d\,e^2\,f^3-10\,B^4\,a\,b^2\,c^3\,d^2\,f^4-3\,B^4\,a^2\,b^2\,c^2\,d\,f^5+3\,A^3\,B\,b^2\,c^4\,e^3\,f^3-2\,A^3\,B\,b^3\,c^3\,e^2\,f^4-10\,A\,B^3\,b^3\,c^3\,d^2\,f^4-4\,A\,B^3\,a^2\,c^4\,e^3\,f^3+3\,A^2\,B^2\,b^4\,c^2\,d\,f^5+36\,A^2\,B^2\,a^2\,c^4\,d\,f^5-24\,A^2\,B^2\,a\,c^5\,d^2\,f^4+4\,A^2\,B^2\,c^6\,d^3\,f^3+16\,A^2\,B^2\,a^3\,c^3\,f^6+4\,A^4\,b^3\,c^3\,e\,f^5+16\,B^4\,a^3\,c^3\,d\,f^5+16\,A^4\,a\,c^5\,e^2\,f^4+8\,A^4\,b^2\,c^4\,d\,f^5-8\,A^4\,a\,b^2\,c^3\,f^6-24\,A^4\,a\,c^5\,d\,f^5+3\,B^4\,b^4\,c^2\,d^2\,f^4-3\,A^4\,b^2\,c^4\,e^2\,f^4+4\,A^4\,c^6\,d^2\,f^4+36\,A^4\,a^2\,c^4\,f^6+B^4\,b^2\,c^4\,d^3\,f^3,z,k\right)\right)-\frac{\frac{A\,b^3\,f+2\,A\,a\,c^2\,e+A\,b\,c^2\,d-2\,B\,a\,c^2\,d-A\,b^2\,c\,e-B\,a\,b^2\,f+2\,B\,a^2\,c\,f-3\,A\,a\,b\,c\,f+B\,a\,b\,c\,e}{-4\,a^3\,c\,f^2+a^2\,b^2\,f^2+4\,a^2\,b\,c\,e\,f+8\,a^2\,c^2\,d\,f-4\,a^2\,c^2\,e^2-a\,b^3\,e\,f-6\,a\,b^2\,c\,d\,f+a\,b^2\,c\,e^2+4\,a\,b\,c^2\,d\,e-4\,a\,c^3\,d^2+b^4\,d\,f-b^3\,c\,d\,e+b^2\,c^2\,d^2}-\frac{x\,\left(2\,A\,a\,c^2\,f-2\,A\,c^3\,d+A\,b\,c^2\,e-2\,B\,a\,c^2\,e+B\,b\,c^2\,d-A\,b^2\,c\,f+B\,a\,b\,c\,f\right)}{-4\,a^3\,c\,f^2+a^2\,b^2\,f^2+4\,a^2\,b\,c\,e\,f+8\,a^2\,c^2\,d\,f-4\,a^2\,c^2\,e^2-a\,b^3\,e\,f-6\,a\,b^2\,c\,d\,f+a\,b^2\,c\,e^2+4\,a\,b\,c^2\,d\,e-4\,a\,c^3\,d^2+b^4\,d\,f-b^3\,c\,d\,e+b^2\,c^2\,d^2}}{c\,x^2+b\,x+a}","Not used",1,"symsum(log((x*(4*A^3*b^3*c^4*f^6 + 16*B^3*a^3*c^4*f^6 - 3*B^3*a^2*b^2*c^3*f^6 + 4*B^3*a^2*c^5*e^2*f^4 + B^3*b^2*c^5*d^2*f^4 - 16*A^3*a*b*c^5*f^6 + 16*A^3*a*c^6*e*f^5 + 20*A^2*B*a^2*c^5*f^6 - 3*A^2*B*b^4*c^3*f^6 + 4*A^2*B*c^7*d^2*f^4 - 16*B^3*a^2*c^5*d*f^5 - 4*A^3*b^2*c^5*e*f^5 + 6*B^3*a*b^2*c^4*d*f^5 - 4*B^3*a^2*b*c^4*e*f^5 + A^2*B*b^2*c^5*e^2*f^4 - 24*A^2*B*a*c^6*d*f^5 + 6*A*B^2*a*b^3*c^3*f^6 - 28*A*B^2*a^2*b*c^4*f^6 + 8*A^2*B*a*b^2*c^4*f^6 - 4*A*B^2*b*c^6*d^2*f^4 + 8*A*B^2*a^2*c^5*e*f^5 - 6*A*B^2*b^3*c^4*d*f^5 + 8*A^2*B*b^2*c^5*d*f^5 + 2*A^2*B*b^3*c^4*e*f^5 - 4*B^3*a*b*c^5*d*e*f^4 - 4*A*B^2*a*b*c^5*e^2*f^4 + 2*A*B^2*a*b^2*c^4*e*f^5 + 2*A*B^2*b^2*c^5*d*e*f^4 + 16*A*B^2*a*b*c^5*d*f^5 - 12*A^2*B*a*b*c^5*e*f^5 + 8*A*B^2*a*c^6*d*e*f^4 - 4*A^2*B*b*c^6*d*e*f^4))/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + 16*a^4*c^4*e^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 2*a^3*b^5*e*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 - 2*b^5*c^3*d^3*e + 2*b^6*c^2*d^3*f + a^2*b^4*c^2*e^4 - 8*a^3*b^2*c^3*e^4 + 32*a^3*c^5*d^2*e^2 + a^2*b^6*e^2*f^2 + 96*a^4*c^4*d^2*f^2 + b^6*c^2*d^2*e^2 + 32*a^5*c^3*e^2*f^2 - 2*a*b^7*d*e*f^2 - 2*b^7*c*d^2*e*f + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 + 16*a*b^3*c^4*d^3*e - 2*a*b^5*c^2*d*e^3 - 32*a^2*b*c^5*d^3*e - 32*a^3*b*c^4*d*e^3 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 - 2*a^2*b^5*c*e^3*f - 32*a^4*b*c^3*e^3*f + 16*a^4*b^3*c*e*f^3 - 32*a^5*b*c^2*e*f^3 - 64*a^4*c^4*d*e^2*f - 6*a*b^4*c^3*d^2*e^2 + 16*a^2*b^3*c^3*d*e^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3 + 16*a^3*b^3*c^2*e^3*f - 6*a^3*b^4*c*e^2*f^2 - 48*a^2*b^3*c^3*d^2*e*f - 36*a^2*b^4*c^2*d*e^2*f + 96*a^3*b^2*c^3*d*e^2*f - 48*a^3*b^3*c^2*d*e*f^2 + 4*a*b^6*c*d*e^2*f + 18*a*b^5*c^2*d^2*e*f + 18*a^2*b^5*c*d*e*f^2 + 32*a^3*b*c^4*d^2*e*f + 32*a^4*b*c^3*d*e*f^2) - root(48416*a^6*b^2*c^6*d^4*e^2*f^4*z^4 - 41544*a^5*b^4*c^5*d^4*e^2*f^4*z^4 - 31872*a^7*b^2*c^5*d^3*e^2*f^5*z^4 - 31872*a^5*b^2*c^7*d^5*e^2*f^3*z^4 - 29184*a^6*b^2*c^6*d^3*e^4*f^3*z^4 + 28800*a^5*b^4*c^5*d^3*e^4*f^3*z^4 + 21510*a^4*b^6*c^4*d^4*e^2*f^4*z^4 + 21408*a^6*b^4*c^4*d^3*e^2*f^5*z^4 + 21408*a^4*b^4*c^6*d^5*e^2*f^3*z^4 - 18112*a^7*b^3*c^4*d^2*e^3*f^5*z^4 - 18112*a^4*b^3*c^7*d^5*e^3*f^2*z^4 - 15600*a^5*b^5*c^4*d^3*e^3*f^4*z^4 - 15600*a^4*b^5*c^5*d^4*e^3*f^3*z^4 + 15296*a^6*b^3*c^5*d^3*e^3*f^4*z^4 + 15296*a^5*b^3*c^6*d^4*e^3*f^3*z^4 + 14016*a^7*b^2*c^5*d^2*e^4*f^4*z^4 + 14016*a^5*b^2*c^7*d^4*e^4*f^2*z^4 - 13920*a^4*b^6*c^4*d^3*e^4*f^3*z^4 - 11648*a^6*b^3*c^5*d^2*e^5*f^3*z^4 - 11648*a^5*b^3*c^6*d^3*e^5*f^2*z^4 + 10432*a^6*b^2*c^6*d^2*e^6*f^2*z^4 + 9008*a^6*b^5*c^3*d^2*e^3*f^5*z^4 + 9008*a^3*b^5*c^6*d^5*e^3*f^2*z^4 + 8544*a^5*b^5*c^4*d^2*e^5*f^3*z^4 + 8544*a^4*b^5*c^5*d^3*e^5*f^2*z^4 - 8496*a^5*b^4*c^5*d^2*e^6*f^2*z^4 + 7488*a^8*b^2*c^4*d^2*e^2*f^6*z^4 + 7488*a^4*b^2*c^8*d^6*e^2*f^2*z^4 + 7380*a^4*b^7*c^3*d^3*e^3*f^4*z^4 + 7380*a^3*b^7*c^4*d^4*e^3*f^3*z^4 - 6720*a^3*b^8*c^3*d^4*e^2*f^4*z^4 - 5784*a^5*b^6*c^3*d^3*e^2*f^5*z^4 - 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12*A^2*b^4*c^6*d^4*e^2*f^2*z^2 - 9*A^2*b^6*c^4*d^2*e^4*f^2*z^2 + 836*A^2*a^4*c^6*d^2*e^2*f^4*z^2 - 668*A^2*a^2*c^8*d^4*e^2*f^2*z^2 + 656*A^2*a^3*c^7*d^2*e^4*f^2*z^2 + 368*A^2*a^3*c^7*d^3*e^2*f^3*z^2 - 45*B^2*a^6*b^2*c^2*e^2*f^6*z^2 - 18*B^2*a^5*b^2*c^3*e^4*f^4*z^2 - 9*B^2*a^4*b^2*c^4*e^6*f^2*z^2 - 6*B^2*a^5*b^3*c^2*e^3*f^5*z^2 + 3*B^2*a^4*b^4*c^2*e^4*f^4*z^2 - 2*B^2*a^4*b^3*c^3*e^5*f^3*z^2 - 580*B^2*a^4*b^2*c^4*d^3*f^5*z^2 + 536*B^2*a^3*b^4*c^3*d^3*f^5*z^2 + 471*A^2*a^4*b^2*c^4*e^4*f^4*z^2 - 436*A^2*a^3*b^4*c^3*e^4*f^4*z^2 - 348*B^2*a^4*b^4*c^2*d^2*f^6*z^2 + 316*B^2*a^2*b^2*c^6*d^5*f^3*z^2 + 310*A^2*a^3*b^3*c^4*e^5*f^3*z^2 + 232*A^2*a^5*b^2*c^3*e^2*f^6*z^2 - 229*A^2*a^2*b^4*c^4*e^6*f^2*z^2 - 216*A^2*a^4*b^4*c^2*e^2*f^6*z^2 + 204*A^2*a^4*b^3*c^3*e^3*f^5*z^2 + 200*B^2*a^5*b^2*c^3*d^2*f^6*z^2 + 150*A^2*a^3*b^2*c^5*e^6*f^2*z^2 - 120*B^2*a^2*b^4*c^4*d^4*f^4*z^2 + 91*A^2*a^2*b^6*c^2*e^4*f^4*z^2 + 72*A^2*a^3*b^5*c^2*e^3*f^5*z^2 - 66*B^2*a^2*b^6*c^2*d^3*f^5*z^2 + 44*A^2*a^2*b^5*c^3*e^5*f^3*z^2 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48*A^2*b^5*c^5*d^4*e*f^3*z^2 + 36*A^2*b^8*c^2*d*e^4*f^3*z^2 + 36*A^2*b^3*c^7*d^4*e^3*f*z^2 - 28*A^2*b^7*c^3*d*e^5*f^2*z^2 + 20*A^2*b^2*c^8*d^5*e^2*f*z^2 + 16*B^2*a^2*c^8*d^5*e^2*f*z^2 - 14*A^2*b^7*c^3*d^3*e*f^4*z^2 - 14*A^2*b^4*c^6*d^3*e^4*f*z^2 - 10*A^2*b^5*c^5*d^2*e^5*f*z^2 - 1008*A^2*a^4*c^6*d*e^4*f^3*z^2 - 760*A^2*a^5*c^5*d*e^2*f^5*z^2 + 272*A^2*a^2*c^8*d^3*e^4*f*z^2 + 48*B^2*a^5*b*c^4*e^5*f^3*z^2 + 36*B^2*a^6*b*c^3*e^3*f^5*z^2 + 12*B^2*a^5*b^4*c*e^2*f^6*z^2 - 624*A^2*a^4*b*c^5*e^5*f^3*z^2 - 548*A^2*a^5*b*c^4*e^3*f^5*z^2 + 182*A^2*a^2*b^3*c^5*e^7*f*z^2 - 180*B^2*a*b^4*c^5*d^5*f^3*z^2 + 132*B^2*a^6*b^2*c^2*d*f^7*z^2 + 108*B^2*a^3*b^6*c*d^2*f^6*z^2 + 96*A^2*a^5*b^3*c^2*e*f^7*z^2 + 68*A^2*a*b^6*c^3*e^6*f^2*z^2 + 58*A^2*a^3*b^6*c*e^2*f^6*z^2 - 56*B^2*a*b^2*c^7*d^6*f^2*z^2 - 38*A^2*a^2*b^7*c*e^3*f^5*z^2 - 36*A^2*a*b^7*c^2*e^5*f^3*z^2 + 20*B^2*a*b^6*c^3*d^4*f^4*z^2 - 736*A^2*a^5*b^2*c^3*d*f^7*z^2 + 624*A^2*a^4*b^4*c^2*d*f^7*z^2 - 416*A^2*a*b^2*c^7*d^5*f^3*z^2 - 276*A^2*a*b^4*c^5*d^4*f^4*z^2 - 196*A^2*a*b^6*c^3*d^3*f^5*z^2 + 8*B^2*a*b^4*c^5*d^2*e^6*z^2 + 6*B^2*a*b^2*c^7*d^4*e^4*z^2 + 2*B^2*a^2*b^3*c^5*d*e^7*z^2 + 2*B^2*a*b^3*c^6*d^3*e^5*z^2 - 18*A^2*a*b^2*c^7*d^2*e^6*z^2 - 16*A*B*b*c^9*d^7*f*z^2 - B^2*b^10*d^2*e^2*f^4*z^2 + 48*B^2*a^7*c^3*e^2*f^6*z^2 - 36*B^2*a^6*c^4*e^4*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^3*z^2 - 24*B^2*a^5*c^5*e^6*f^2*z^2 + 20*B^2*b^4*c^6*d^6*f^2*z^2 - 6*A^2*b^8*c^2*e^6*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^4*z^2 - 768*B^2*a^5*c^5*d^3*f^5*z^2 + 512*B^2*a^6*c^4*d^2*f^6*z^2 + 512*B^2*a^4*c^6*d^4*f^4*z^2 + 232*A^2*a^5*c^5*e^4*f^4*z^2 + 188*A^2*a^4*c^6*e^6*f^2*z^2 - 128*B^2*a^3*c^7*d^5*f^3*z^2 + 92*A^2*a^6*c^4*e^2*f^6*z^2 + 80*A^2*b^4*c^6*d^5*f^3*z^2 + 64*A^2*b^2*c^8*d^6*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^4*z^2 + 14*A^2*b^8*c^2*d^3*f^5*z^2 - 5*B^2*b^4*c^6*d^4*e^4*z^2 + 4*B^2*b^3*c^7*d^5*e^3*z^2 + 2*B^2*b^5*c^5*d^3*e^5*z^2 - B^2*b^6*c^4*d^2*e^6*z^2 - B^2*b^2*c^8*d^6*e^2*z^2 - B^2*a^4*b^6*e^2*f^6*z^2 - 1152*A^2*a^3*c^7*d^4*f^4*z^2 + 1008*A^2*a^4*c^6*d^3*f^5*z^2 + 624*A^2*a^2*c^8*d^5*f^3*z^2 - 288*A^2*a^5*c^5*d^2*f^6*z^2 + 56*B^2*a^3*c^7*d^2*e^6*z^2 - 10*B^2*a^2*b^8*d^2*f^6*z^2 - 9*A^2*b^2*c^8*d^4*e^4*z^2 - 5*A^2*a^2*b^8*e^2*f^6*z^2 - 4*B^2*a^2*c^8*d^4*e^4*z^2 + 3*A^2*b^4*c^6*d^2*e^6*z^2 - 2*A^2*b^3*c^7*d^3*e^5*z^2 - 36*A^2*a^2*c^8*d^2*e^6*z^2 - 48*A^2*a^6*b^2*c^2*f^8*z^2 - 45*A^2*a^2*b^2*c^6*e^8*z^2 + 4*A^2*b^10*d*e^2*f^5*z^2 + 4*B^2*b^2*c^8*d^7*f*z^2 + 4*A^2*b^9*c*e^5*f^3*z^2 + 4*A^2*b^7*c^3*e^7*f*z^2 - 128*B^2*a^7*c^3*d*f^7*z^2 - 160*A^2*a*c^9*d^6*f^2*z^2 - 112*A^2*a^6*c^4*d*f^7*z^2 + 12*A^2*b*c^9*d^5*e^3*z^2 + 4*A^2*a*b^9*e^3*f^5*z^2 + 3*B^2*a^4*b^6*d*f^7*z^2 + 2*A^2*a^3*b^7*e*f^7*z^2 - 24*A^2*a*c^9*d^4*e^4*z^2 + 14*A^2*a^2*b^8*d*f^7*z^2 + 12*A^2*a^5*b^4*c*f^8*z^2 + 12*A^2*a*b^4*c^5*e^8*z^2 + A*B*a^4*b^6*e*f^7*z^2 + B^2*a^2*b^8*d*e^2*f^5*z^2 + 16*A^2*c^10*d^7*f*z^2 + 3*B^2*b^10*d^3*f^5*z^2 - A^2*b^10*e^4*f^4*z^2 - 4*A^2*c^10*d^6*e^2*z^2 - A^2*b^10*d^2*f^6*z^2 + 64*A^2*a^7*c^3*f^8*z^2 - 4*B^2*a^4*c^6*e^8*z^2 - A^2*b^6*c^4*e^8*z^2 + 48*A^2*a^3*c^7*e^8*z^2 - A^2*a^4*b^6*f^8*z^2 + 720*A^2*B*a*b^2*c^5*d^2*e^2*f^3*z - 600*A^2*B*a^2*b^2*c^4*d*e^2*f^4*z + 576*A*B^2*a^2*b^2*c^4*d^2*e*f^4*z + 348*A*B^2*a*b^2*c^5*d^2*e^3*f^2*z - 336*A*B^2*a^2*b*c^5*d^2*e^2*f^3*z - 260*A*B^2*a*b^3*c^4*d^2*e^2*f^3*z - 240*A*B^2*a^2*b^2*c^4*d*e^3*f^3*z + 196*A*B^2*a^2*b^3*c^3*d*e^2*f^4*z + 172*A^2*B*a*b*c^6*d*e^5*f*z + 20*A*B^2*a*b^6*c*d*e*f^5*z - 912*A^2*B*a^2*b*c^5*d^2*e*f^4*z - 644*A^2*B*a*b*c^6*d^2*e^3*f^2*z - 432*A*B^2*a*b^2*c^5*d^3*e*f^3*z + 372*A^2*B*a^2*b*c^5*d*e^3*f^3*z - 330*A^2*B*a*b^2*c^5*d*e^4*f^2*z + 312*A*B^2*a*b*c^6*d^3*e^2*f^2*z - 208*A*B^2*a^3*b^2*c^3*d*e*f^5*z + 192*A^2*B*a^2*b^3*c^3*d*e*f^5*z + 172*A^2*B*a*b^3*c^4*d*e^3*f^3*z + 108*A*B^2*a^2*b*c^5*d*e^4*f^2*z + 104*A*B^2*a^3*b*c^4*d*e^2*f^4*z - 80*A^2*B*a*b^3*c^4*d^2*e*f^4*z + 68*A^2*B*a*b^4*c^3*d*e^2*f^4*z - 60*A*B^2*a*b^5*c^2*d*e^2*f^4*z + 58*A*B^2*a*b^3*c^4*d*e^4*f^2*z - 36*A*B^2*a*b^4*c^3*d^2*e*f^4*z - 24*A*B^2*a^2*b^4*c^2*d*e*f^5*z + 24*A*B^2*a*b^4*c^3*d*e^3*f^3*z + 592*A^2*B*a*b*c^6*d^3*e*f^3*z + 240*A^2*B*a^3*b*c^4*d*e*f^5*z - 132*A*B^2*a*b*c^6*d^2*e^4*f*z - 60*A*B^2*a*b^2*c^5*d*e^5*f*z - 48*A^2*B*a*b^5*c^2*d*e*f^5*z + 20*B^3*a*b*c^6*d^3*e^3*f*z + 16*B^3*a^4*b*c^3*d*e*f^5*z - 16*B^3*a*b*c^6*d^4*e*f^2*z + 12*B^3*a^2*b*c^5*d*e^5*f*z + 320*A^3*a*b*c^6*d*e^4*f^2*z + 40*A^3*a*b^4*c^3*d*e*f^5*z - 48*A^2*B*b*c^7*d^4*e*f^2*z - 44*A^2*B*b^3*c^5*d*e^5*f*z - 20*A*B^2*b*c^7*d^4*e^2*f*z + 14*A*B^2*b^4*c^4*d*e^5*f*z + 12*A^2*B*b*c^7*d^3*e^3*f*z + 4*A*B^2*b^7*c*d*e^2*f^4*z + 160*A*B^2*a^4*c^4*d*e*f^5*z + 152*A^2*B*a*c^7*d^2*e^4*f*z - 40*A*B^2*a*c^7*d^3*e^3*f*z + 32*A*B^2*a*c^7*d^4*e*f^2*z - 16*A*B^2*a^2*c^6*d*e^5*f*z + 128*A^2*B*a^4*b*c^3*e*f^6*z + 42*A^2*B*a*b^2*c^5*e^6*f*z + 24*A^2*B*a^2*b^5*c*e*f^6*z - 12*A*B^2*a^3*b^4*c*e*f^6*z - 12*A*B^2*a^2*b*c^5*e^6*f*z - 10*A^2*B*a*b^6*c*e^2*f^5*z - 160*A*B^2*a*b*c^6*d^4*f^3*z + 112*A*B^2*a^4*b*c^3*d*f^6*z - 24*A*B^2*a^2*b^5*c*d*f^6*z - 84*B^3*a*b^2*c^5*d^3*e^2*f^2*z - 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48*B^3*a^3*b*c^4*d^2*e*f^4*z + 48*B^3*a^2*b*c^5*d^3*e*f^3*z + 44*B^3*a^3*b*c^4*d*e^3*f^3*z + 24*B^3*a*b^5*c^2*d^2*e*f^4*z + 18*B^3*a*b^2*c^5*d^2*e^4*f*z + 696*A^3*a^2*b*c^5*d*e^2*f^4*z - 504*A^3*a*b*c^6*d^2*e^2*f^3*z - 192*A^3*a*b^2*c^5*d*e^3*f^3*z - 144*A^3*a^2*b^2*c^4*d*e*f^5*z + 96*A^3*a*b^2*c^5*d^2*e*f^4*z - 72*A^3*a*b^3*c^4*d*e^2*f^4*z - 208*A^2*B*b^3*c^5*d^3*e*f^3*z + 152*A*B^2*b^4*c^4*d^3*e*f^3*z + 80*A^2*B*b^5*c^3*d^2*e*f^4*z + 75*A^2*B*b^4*c^4*d*e^4*f^2*z - 59*A^2*B*b^2*c^6*d^2*e^4*f*z - 52*A^2*B*b^5*c^3*d*e^3*f^3*z + 42*A*B^2*b^3*c^5*d^2*e^4*f*z - 21*A*B^2*b^6*c^2*d^2*e*f^4*z - 16*A*B^2*b^5*c^3*d*e^4*f^2*z + 16*A*B^2*b^2*c^6*d^4*e*f^2*z + 16*A*B^2*b^2*c^6*d^3*e^3*f*z + 11*A^2*B*b^6*c^2*d*e^2*f^4*z + 4*A*B^2*b^6*c^2*d*e^3*f^3*z - 256*A^2*B*a*c^7*d^3*e^2*f^2*z - 96*A*B^2*a^3*c^5*d^2*e*f^4*z - 36*A^2*B*a^2*c^6*d*e^4*f^2*z - 32*A^2*B*a^3*c^5*d*e^2*f^4*z - 32*A*B^2*a^2*c^6*d^3*e*f^3*z + 8*A*B^2*a^3*c^5*d*e^3*f^3*z - 96*A^2*B*a^3*b^3*c^2*e*f^6*z + 68*A^2*B*a^3*b*c^4*e^3*f^4*z - 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3*A^3*b^2*c^6*e^7*z + A^2*B*b^8*d*f^6*z - A^3*b^8*e*f^6*z + 16*A^3*a*c^7*e^7*z + 2*A^3*a*b^7*f^7*z + A^2*B*b^8*e^2*f^5*z + B^3*b^8*d^2*f^5*z - 48*A^2*B^2*a*b*c^4*d*e*f^4 + 28*A*B^3*a*b^2*c^3*d*e*f^4 - 16*A*B^3*a*b*c^4*d*e^2*f^3 + 16*A^3*B*a*c^5*d*e*f^4 + 32*A^3*B*a*b*c^4*d*f^5 + 12*A^2*B^2*b^3*c^3*d*e*f^4 + 5*A*B^3*b^2*c^4*d^2*e*f^3 + 4*A*B^3*b^3*c^3*d*e^2*f^3 + 24*A^2*B^2*a*c^5*d*e^2*f^3 + 24*A^2*B^2*a^2*b*c^3*e*f^5 + 12*A^2*B^2*a*b*c^4*e^3*f^3 - 6*A^2*B^2*a*b^3*c^2*e*f^5 + 4*A*B^3*a^2*b*c^3*e^2*f^4 + 3*A*B^3*a^2*b^2*c^2*e*f^5 - 18*A^2*B^2*a*b^2*c^3*d*f^5 - 4*B^4*a^2*b*c^3*d*e*f^4 + 4*B^4*a*b*c^4*d^2*e*f^3 - 6*A*B^3*b^4*c^2*d*e*f^4 + 4*A^3*B*b*c^5*d*e^2*f^3 - 2*A^3*B*b^2*c^4*d*e*f^4 - 8*A*B^3*a^2*c^4*d*e*f^4 - 8*A*B^3*a*c^5*d^2*e*f^3 + 26*A^3*B*a*b^2*c^3*e*f^5 + 8*A^3*B*a*b*c^4*e^2*f^4 + 32*A*B^3*a*b*c^4*d^2*f^4 - 28*A*B^3*a^2*b*c^3*d*f^5 + 6*A*B^3*a*b^3*c^2*d*f^5 - 9*A^2*B^2*b^2*c^4*d*e^2*f^3 - 18*A^2*B^2*a*b^2*c^3*e^2*f^4 - 4*A^3*B*c^6*d^2*e*f^3 - 3*A^3*B*b^4*c^2*e*f^5 - 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4*B^2*b^9*c*d^2*e^3*f^3*z^2 + 4*B^2*b^7*c^3*d^2*e^5*f*z^2 + 4*B^2*b^5*c^5*d^4*e^3*f*z^2 - B^2*b^6*c^4*d^3*e^4*f*z^2 - 336*B^2*a^3*c^7*d^3*e^4*f*z^2 + 112*B^2*a^5*c^5*d*e^4*f^3*z^2 - 112*A^2*b^3*c^7*d^5*e*f^2*z^2 + 80*B^2*a^6*c^4*d*e^2*f^5*z^2 - 48*A^2*b^5*c^5*d^4*e*f^3*z^2 + 36*A^2*b^8*c^2*d*e^4*f^3*z^2 + 36*A^2*b^3*c^7*d^4*e^3*f*z^2 - 28*A^2*b^7*c^3*d*e^5*f^2*z^2 + 20*A^2*b^2*c^8*d^5*e^2*f*z^2 + 16*B^2*a^2*c^8*d^5*e^2*f*z^2 - 14*A^2*b^7*c^3*d^3*e*f^4*z^2 - 14*A^2*b^4*c^6*d^3*e^4*f*z^2 - 10*A^2*b^5*c^5*d^2*e^5*f*z^2 - 1008*A^2*a^4*c^6*d*e^4*f^3*z^2 - 760*A^2*a^5*c^5*d*e^2*f^5*z^2 + 272*A^2*a^2*c^8*d^3*e^4*f*z^2 + 48*B^2*a^5*b*c^4*e^5*f^3*z^2 + 36*B^2*a^6*b*c^3*e^3*f^5*z^2 + 12*B^2*a^5*b^4*c*e^2*f^6*z^2 - 624*A^2*a^4*b*c^5*e^5*f^3*z^2 - 548*A^2*a^5*b*c^4*e^3*f^5*z^2 + 182*A^2*a^2*b^3*c^5*e^7*f*z^2 - 180*B^2*a*b^4*c^5*d^5*f^3*z^2 + 132*B^2*a^6*b^2*c^2*d*f^7*z^2 + 108*B^2*a^3*b^6*c*d^2*f^6*z^2 + 96*A^2*a^5*b^3*c^2*e*f^7*z^2 + 68*A^2*a*b^6*c^3*e^6*f^2*z^2 + 58*A^2*a^3*b^6*c*e^2*f^6*z^2 - 56*B^2*a*b^2*c^7*d^6*f^2*z^2 - 38*A^2*a^2*b^7*c*e^3*f^5*z^2 - 36*A^2*a*b^7*c^2*e^5*f^3*z^2 + 20*B^2*a*b^6*c^3*d^4*f^4*z^2 - 736*A^2*a^5*b^2*c^3*d*f^7*z^2 + 624*A^2*a^4*b^4*c^2*d*f^7*z^2 - 416*A^2*a*b^2*c^7*d^5*f^3*z^2 - 276*A^2*a*b^4*c^5*d^4*f^4*z^2 - 196*A^2*a*b^6*c^3*d^3*f^5*z^2 + 8*B^2*a*b^4*c^5*d^2*e^6*z^2 + 6*B^2*a*b^2*c^7*d^4*e^4*z^2 + 2*B^2*a^2*b^3*c^5*d*e^7*z^2 + 2*B^2*a*b^3*c^6*d^3*e^5*z^2 - 18*A^2*a*b^2*c^7*d^2*e^6*z^2 - 16*A*B*b*c^9*d^7*f*z^2 - B^2*b^10*d^2*e^2*f^4*z^2 + 48*B^2*a^7*c^3*e^2*f^6*z^2 - 36*B^2*a^6*c^4*e^4*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^3*z^2 - 24*B^2*a^5*c^5*e^6*f^2*z^2 + 20*B^2*b^4*c^6*d^6*f^2*z^2 - 6*A^2*b^8*c^2*e^6*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^4*z^2 - 768*B^2*a^5*c^5*d^3*f^5*z^2 + 512*B^2*a^6*c^4*d^2*f^6*z^2 + 512*B^2*a^4*c^6*d^4*f^4*z^2 + 232*A^2*a^5*c^5*e^4*f^4*z^2 + 188*A^2*a^4*c^6*e^6*f^2*z^2 - 128*B^2*a^3*c^7*d^5*f^3*z^2 + 92*A^2*a^6*c^4*e^2*f^6*z^2 + 80*A^2*b^4*c^6*d^5*f^3*z^2 + 64*A^2*b^2*c^8*d^6*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^4*z^2 + 14*A^2*b^8*c^2*d^3*f^5*z^2 - 5*B^2*b^4*c^6*d^4*e^4*z^2 + 4*B^2*b^3*c^7*d^5*e^3*z^2 + 2*B^2*b^5*c^5*d^3*e^5*z^2 - B^2*b^6*c^4*d^2*e^6*z^2 - B^2*b^2*c^8*d^6*e^2*z^2 - B^2*a^4*b^6*e^2*f^6*z^2 - 1152*A^2*a^3*c^7*d^4*f^4*z^2 + 1008*A^2*a^4*c^6*d^3*f^5*z^2 + 624*A^2*a^2*c^8*d^5*f^3*z^2 - 288*A^2*a^5*c^5*d^2*f^6*z^2 + 56*B^2*a^3*c^7*d^2*e^6*z^2 - 10*B^2*a^2*b^8*d^2*f^6*z^2 - 9*A^2*b^2*c^8*d^4*e^4*z^2 - 5*A^2*a^2*b^8*e^2*f^6*z^2 - 4*B^2*a^2*c^8*d^4*e^4*z^2 + 3*A^2*b^4*c^6*d^2*e^6*z^2 - 2*A^2*b^3*c^7*d^3*e^5*z^2 - 36*A^2*a^2*c^8*d^2*e^6*z^2 - 48*A^2*a^6*b^2*c^2*f^8*z^2 - 45*A^2*a^2*b^2*c^6*e^8*z^2 + 4*A^2*b^10*d*e^2*f^5*z^2 + 4*B^2*b^2*c^8*d^7*f*z^2 + 4*A^2*b^9*c*e^5*f^3*z^2 + 4*A^2*b^7*c^3*e^7*f*z^2 - 128*B^2*a^7*c^3*d*f^7*z^2 - 160*A^2*a*c^9*d^6*f^2*z^2 - 112*A^2*a^6*c^4*d*f^7*z^2 + 12*A^2*b*c^9*d^5*e^3*z^2 + 4*A^2*a*b^9*e^3*f^5*z^2 + 3*B^2*a^4*b^6*d*f^7*z^2 + 2*A^2*a^3*b^7*e*f^7*z^2 - 24*A^2*a*c^9*d^4*e^4*z^2 + 14*A^2*a^2*b^8*d*f^7*z^2 + 12*A^2*a^5*b^4*c*f^8*z^2 + 12*A^2*a*b^4*c^5*e^8*z^2 + 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16*B^3*a^2*c^6*d^3*e^2*f^2*z - 3*B^3*a^4*b^2*c^2*e^2*f^5*z - 120*B^3*a^2*b^2*c^4*d^3*f^4*z + 112*B^3*a^3*b^2*c^3*d^2*f^5*z + 112*A^3*a^2*b^3*c^3*e^2*f^5*z + 12*A^3*a^2*b^2*c^4*e^3*f^4*z - 120*A^3*a*c^7*d*e^5*f*z - 52*A^3*a*b*c^6*e^6*f*z + 10*A^3*a*b^6*c*e*f^6*z - 2*A*B^2*b^8*d*e*f^5*z - 2*A^2*B*a*b^7*e*f^6*z - 24*A^2*B*a*c^7*d*e^6*z + 2*A*B^2*a*b^7*d*f^6*z - 12*A^2*B*a*b*c^6*e^7*z - 2*A^3*b^7*c*d*f^6*z - 4*A^3*b*c^7*d*e^6*z + 16*B^3*a^5*c^3*e^2*f^5*z + 11*B^3*b^6*c^2*d^3*f^4*z - 11*A^3*b^4*c^4*e^5*f^2*z - 8*B^3*b^4*c^4*d^4*f^3*z - 4*B^3*b^2*c^6*d^5*f^2*z + 4*B^3*a^4*c^4*e^4*f^3*z + 4*A^3*b^5*c^3*e^4*f^3*z - A^3*b^6*c^2*e^3*f^4*z + 136*A^3*a^3*c^5*e^3*f^4*z + 68*A^3*a^2*c^6*e^5*f^2*z - 64*A^3*b^3*c^5*d^3*f^4*z + 2*B^3*b^3*c^5*d^2*e^5*z - B^3*b^2*c^6*d^3*e^4*z + 96*A^3*a^3*b^3*c^2*f^7*z + A*B^2*a^2*b^6*e*f^6*z + 32*A^3*c^8*d^4*e*f^2*z - 24*A^3*c^8*d^3*e^3*f*z + 10*A^3*b^3*c^5*e^6*f*z + 2*A^3*b^7*c*e^2*f^5*z + 128*A^3*a^4*c^4*e*f^6*z - 32*A^3*b*c^7*d^4*f^3*z - 4*B^3*a^2*c^6*d*e^6*z - 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310*A^2*a^3*b^3*c^4*e^5*f^3*z^2 + 232*A^2*a^5*b^2*c^3*e^2*f^6*z^2 - 229*A^2*a^2*b^4*c^4*e^6*f^2*z^2 - 216*A^2*a^4*b^4*c^2*e^2*f^6*z^2 + 204*A^2*a^4*b^3*c^3*e^3*f^5*z^2 + 200*B^2*a^5*b^2*c^3*d^2*f^6*z^2 + 150*A^2*a^3*b^2*c^5*e^6*f^2*z^2 - 120*B^2*a^2*b^4*c^4*d^4*f^4*z^2 + 91*A^2*a^2*b^6*c^2*e^4*f^4*z^2 + 72*A^2*a^3*b^5*c^2*e^3*f^5*z^2 - 66*B^2*a^2*b^6*c^2*d^3*f^5*z^2 + 44*A^2*a^2*b^5*c^3*e^5*f^3*z^2 - 16*B^2*a^3*b^2*c^5*d^4*f^4*z^2 + 1952*A^2*a^4*b^2*c^4*d^2*f^6*z^2 - 1792*A^2*a^3*b^2*c^5*d^3*f^5*z^2 - 1272*A^2*a^3*b^4*c^3*d^2*f^6*z^2 + 976*A^2*a^2*b^2*c^6*d^4*f^4*z^2 + 960*A^2*a^2*b^4*c^4*d^3*f^5*z^2 + 282*A^2*a^2*b^6*c^2*d^2*f^6*z^2 - 45*B^2*a^2*b^2*c^6*d^2*e^6*z^2 - 48*A^2*b*c^9*d^6*e*f*z^2 - 14*A^2*a*b^9*d*e*f^6*z^2 - 7*A*B*b^10*d^2*e*f^5*z^2 + 2*A*B*b^10*d*e^3*f^4*z^2 - 64*A*B*a^7*c^3*e*f^7*z^2 - 16*A*B*b^9*c*d^3*f^5*z^2 + 8*A*B*a^4*c^6*e^7*f*z^2 + 4*A*B*b*c^9*d^6*e^2*z^2 + 2*A*B*b^6*c^4*d*e^7*z^2 - 120*A*B*a^3*c^7*d*e^7*z^2 - 16*A*B*a^3*b^7*d*f^7*z^2 + 16*A*B*a*b^9*d^2*f^6*z^2 + 8*A*B*a*c^9*d^5*e^3*z^2 + 12*A*B*a^3*b*c^6*e^8*z^2 - 48*B^2*b^5*c^5*d^5*e*f^2*z^2 + 15*B^2*b^4*c^6*d^5*e^2*f*z^2 - 14*B^2*b^7*c^3*d^4*e*f^3*z^2 + 4*B^2*b^9*c*d^2*e^3*f^3*z^2 + 4*B^2*b^7*c^3*d^2*e^5*f*z^2 + 4*B^2*b^5*c^5*d^4*e^3*f*z^2 - B^2*b^6*c^4*d^3*e^4*f*z^2 - 336*B^2*a^3*c^7*d^3*e^4*f*z^2 + 112*B^2*a^5*c^5*d*e^4*f^3*z^2 - 112*A^2*b^3*c^7*d^5*e*f^2*z^2 + 80*B^2*a^6*c^4*d*e^2*f^5*z^2 - 48*A^2*b^5*c^5*d^4*e*f^3*z^2 + 36*A^2*b^8*c^2*d*e^4*f^3*z^2 + 36*A^2*b^3*c^7*d^4*e^3*f*z^2 - 28*A^2*b^7*c^3*d*e^5*f^2*z^2 + 20*A^2*b^2*c^8*d^5*e^2*f*z^2 + 16*B^2*a^2*c^8*d^5*e^2*f*z^2 - 14*A^2*b^7*c^3*d^3*e*f^4*z^2 - 14*A^2*b^4*c^6*d^3*e^4*f*z^2 - 10*A^2*b^5*c^5*d^2*e^5*f*z^2 - 1008*A^2*a^4*c^6*d*e^4*f^3*z^2 - 760*A^2*a^5*c^5*d*e^2*f^5*z^2 + 272*A^2*a^2*c^8*d^3*e^4*f*z^2 + 48*B^2*a^5*b*c^4*e^5*f^3*z^2 + 36*B^2*a^6*b*c^3*e^3*f^5*z^2 + 12*B^2*a^5*b^4*c*e^2*f^6*z^2 - 624*A^2*a^4*b*c^5*e^5*f^3*z^2 - 548*A^2*a^5*b*c^4*e^3*f^5*z^2 + 182*A^2*a^2*b^3*c^5*e^7*f*z^2 - 180*B^2*a*b^4*c^5*d^5*f^3*z^2 + 132*B^2*a^6*b^2*c^2*d*f^7*z^2 + 108*B^2*a^3*b^6*c*d^2*f^6*z^2 + 96*A^2*a^5*b^3*c^2*e*f^7*z^2 + 68*A^2*a*b^6*c^3*e^6*f^2*z^2 + 58*A^2*a^3*b^6*c*e^2*f^6*z^2 - 56*B^2*a*b^2*c^7*d^6*f^2*z^2 - 38*A^2*a^2*b^7*c*e^3*f^5*z^2 - 36*A^2*a*b^7*c^2*e^5*f^3*z^2 + 20*B^2*a*b^6*c^3*d^4*f^4*z^2 - 736*A^2*a^5*b^2*c^3*d*f^7*z^2 + 624*A^2*a^4*b^4*c^2*d*f^7*z^2 - 416*A^2*a*b^2*c^7*d^5*f^3*z^2 - 276*A^2*a*b^4*c^5*d^4*f^4*z^2 - 196*A^2*a*b^6*c^3*d^3*f^5*z^2 + 8*B^2*a*b^4*c^5*d^2*e^6*z^2 + 6*B^2*a*b^2*c^7*d^4*e^4*z^2 + 2*B^2*a^2*b^3*c^5*d*e^7*z^2 + 2*B^2*a*b^3*c^6*d^3*e^5*z^2 - 18*A^2*a*b^2*c^7*d^2*e^6*z^2 - 16*A*B*b*c^9*d^7*f*z^2 - B^2*b^10*d^2*e^2*f^4*z^2 + 48*B^2*a^7*c^3*e^2*f^6*z^2 - 36*B^2*a^6*c^4*e^4*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^3*z^2 - 24*B^2*a^5*c^5*e^6*f^2*z^2 + 20*B^2*b^4*c^6*d^6*f^2*z^2 - 6*A^2*b^8*c^2*e^6*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^4*z^2 - 768*B^2*a^5*c^5*d^3*f^5*z^2 + 512*B^2*a^6*c^4*d^2*f^6*z^2 + 512*B^2*a^4*c^6*d^4*f^4*z^2 + 232*A^2*a^5*c^5*e^4*f^4*z^2 + 188*A^2*a^4*c^6*e^6*f^2*z^2 - 128*B^2*a^3*c^7*d^5*f^3*z^2 + 92*A^2*a^6*c^4*e^2*f^6*z^2 + 80*A^2*b^4*c^6*d^5*f^3*z^2 + 64*A^2*b^2*c^8*d^6*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^4*z^2 + 14*A^2*b^8*c^2*d^3*f^5*z^2 - 5*B^2*b^4*c^6*d^4*e^4*z^2 + 4*B^2*b^3*c^7*d^5*e^3*z^2 + 2*B^2*b^5*c^5*d^3*e^5*z^2 - B^2*b^6*c^4*d^2*e^6*z^2 - B^2*b^2*c^8*d^6*e^2*z^2 - B^2*a^4*b^6*e^2*f^6*z^2 - 1152*A^2*a^3*c^7*d^4*f^4*z^2 + 1008*A^2*a^4*c^6*d^3*f^5*z^2 + 624*A^2*a^2*c^8*d^5*f^3*z^2 - 288*A^2*a^5*c^5*d^2*f^6*z^2 + 56*B^2*a^3*c^7*d^2*e^6*z^2 - 10*B^2*a^2*b^8*d^2*f^6*z^2 - 9*A^2*b^2*c^8*d^4*e^4*z^2 - 5*A^2*a^2*b^8*e^2*f^6*z^2 - 4*B^2*a^2*c^8*d^4*e^4*z^2 + 3*A^2*b^4*c^6*d^2*e^6*z^2 - 2*A^2*b^3*c^7*d^3*e^5*z^2 - 36*A^2*a^2*c^8*d^2*e^6*z^2 - 48*A^2*a^6*b^2*c^2*f^8*z^2 - 45*A^2*a^2*b^2*c^6*e^8*z^2 + 4*A^2*b^10*d*e^2*f^5*z^2 + 4*B^2*b^2*c^8*d^7*f*z^2 + 4*A^2*b^9*c*e^5*f^3*z^2 + 4*A^2*b^7*c^3*e^7*f*z^2 - 128*B^2*a^7*c^3*d*f^7*z^2 - 160*A^2*a*c^9*d^6*f^2*z^2 - 112*A^2*a^6*c^4*d*f^7*z^2 + 12*A^2*b*c^9*d^5*e^3*z^2 + 4*A^2*a*b^9*e^3*f^5*z^2 + 3*B^2*a^4*b^6*d*f^7*z^2 + 2*A^2*a^3*b^7*e*f^7*z^2 - 24*A^2*a*c^9*d^4*e^4*z^2 + 14*A^2*a^2*b^8*d*f^7*z^2 + 12*A^2*a^5*b^4*c*f^8*z^2 + 12*A^2*a*b^4*c^5*e^8*z^2 + A*B*a^4*b^6*e*f^7*z^2 + B^2*a^2*b^8*d*e^2*f^5*z^2 + 16*A^2*c^10*d^7*f*z^2 + 3*B^2*b^10*d^3*f^5*z^2 - A^2*b^10*e^4*f^4*z^2 - 4*A^2*c^10*d^6*e^2*z^2 - A^2*b^10*d^2*f^6*z^2 + 64*A^2*a^7*c^3*f^8*z^2 - 4*B^2*a^4*c^6*e^8*z^2 - A^2*b^6*c^4*e^8*z^2 + 48*A^2*a^3*c^7*e^8*z^2 - A^2*a^4*b^6*f^8*z^2 + 720*A^2*B*a*b^2*c^5*d^2*e^2*f^3*z - 600*A^2*B*a^2*b^2*c^4*d*e^2*f^4*z + 576*A*B^2*a^2*b^2*c^4*d^2*e*f^4*z + 348*A*B^2*a*b^2*c^5*d^2*e^3*f^2*z - 336*A*B^2*a^2*b*c^5*d^2*e^2*f^3*z - 260*A*B^2*a*b^3*c^4*d^2*e^2*f^3*z - 240*A*B^2*a^2*b^2*c^4*d*e^3*f^3*z + 196*A*B^2*a^2*b^3*c^3*d*e^2*f^4*z + 172*A^2*B*a*b*c^6*d*e^5*f*z + 20*A*B^2*a*b^6*c*d*e*f^5*z - 912*A^2*B*a^2*b*c^5*d^2*e*f^4*z - 644*A^2*B*a*b*c^6*d^2*e^3*f^2*z - 432*A*B^2*a*b^2*c^5*d^3*e*f^3*z + 372*A^2*B*a^2*b*c^5*d*e^3*f^3*z - 330*A^2*B*a*b^2*c^5*d*e^4*f^2*z + 312*A*B^2*a*b*c^6*d^3*e^2*f^2*z - 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36*A*B^2*a^3*b^2*c^3*e^3*f^4*z + 12*A^2*B*a^2*b^4*c^2*e^2*f^5*z + 12*A*B^2*a^3*b^3*c^2*e^2*f^5*z + 9*A*B^2*a^2*b^2*c^4*e^5*f^2*z - 6*A*B^2*a^2*b^4*c^2*e^3*f^4*z + 4*A*B^2*a^2*b^3*c^3*e^4*f^3*z + 480*A^2*B*a^2*b^2*c^4*d^2*f^5*z - 176*A*B^2*a^2*b^3*c^3*d^2*f^5*z - 10*A^2*B*a*b^6*c*d*f^6*z + 16*A*B^2*a*b*c^6*d*e^6*z + 80*B^3*a*b^3*c^4*d^3*e*f^3*z - 48*B^3*a^3*b*c^4*d^2*e*f^4*z + 48*B^3*a^2*b*c^5*d^3*e*f^3*z + 44*B^3*a^3*b*c^4*d*e^3*f^3*z + 24*B^3*a*b^5*c^2*d^2*e*f^4*z + 18*B^3*a*b^2*c^5*d^2*e^4*f*z + 696*A^3*a^2*b*c^5*d*e^2*f^4*z - 504*A^3*a*b*c^6*d^2*e^2*f^3*z - 192*A^3*a*b^2*c^5*d*e^3*f^3*z - 144*A^3*a^2*b^2*c^4*d*e*f^5*z + 96*A^3*a*b^2*c^5*d^2*e*f^4*z - 72*A^3*a*b^3*c^4*d*e^2*f^4*z - 208*A^2*B*b^3*c^5*d^3*e*f^3*z + 152*A*B^2*b^4*c^4*d^3*e*f^3*z + 80*A^2*B*b^5*c^3*d^2*e*f^4*z + 75*A^2*B*b^4*c^4*d*e^4*f^2*z - 59*A^2*B*b^2*c^6*d^2*e^4*f*z - 52*A^2*B*b^5*c^3*d*e^3*f^3*z + 42*A*B^2*b^3*c^5*d^2*e^4*f*z - 21*A*B^2*b^6*c^2*d^2*e*f^4*z - 16*A*B^2*b^5*c^3*d*e^4*f^2*z + 16*A*B^2*b^2*c^6*d^4*e*f^2*z + 16*A*B^2*b^2*c^6*d^3*e^3*f*z + 11*A^2*B*b^6*c^2*d*e^2*f^4*z + 4*A*B^2*b^6*c^2*d*e^3*f^3*z - 256*A^2*B*a*c^7*d^3*e^2*f^2*z - 96*A*B^2*a^3*c^5*d^2*e*f^4*z - 36*A^2*B*a^2*c^6*d*e^4*f^2*z - 32*A^2*B*a^3*c^5*d*e^2*f^4*z - 32*A*B^2*a^2*c^6*d^3*e*f^3*z + 8*A*B^2*a^3*c^5*d*e^3*f^3*z - 96*A^2*B*a^3*b^3*c^2*e*f^6*z + 68*A^2*B*a^3*b*c^4*e^3*f^4*z - 60*A*B^2*a^4*b*c^3*e^2*f^5*z - 60*A*B^2*a^3*b*c^4*e^4*f^3*z + 48*A*B^2*a^4*b^2*c^2*e*f^6*z - 38*A^2*B*a*b^3*c^4*e^5*f^2*z - 36*A^2*B*a^2*b*c^5*e^5*f^2*z + 36*A^2*B*a*b^5*c^2*e^3*f^4*z - 16*A^2*B*a*b^4*c^3*e^4*f^3*z + 384*A*B^2*a^2*b*c^5*d^3*f^4*z - 352*A*B^2*a^3*b*c^4*d^2*f^5*z - 288*A^2*B*a*b^2*c^5*d^3*f^4*z - 160*A^2*B*a^3*b^2*c^3*d*f^6*z - 148*A^2*B*a*b^4*c^3*d^2*f^5*z + 112*A*B^2*a*b^3*c^4*d^3*f^4*z + 72*A^2*B*a^2*b^4*c^2*d*f^6*z + 72*A*B^2*a*b^5*c^2*d^2*f^5*z + 48*A*B^2*a^3*b^3*c^2*d*f^6*z + 102*B^3*a^2*b^2*c^4*d^2*e^2*f^3*z - 32*B^3*b^5*c^3*d^3*e*f^3*z - 8*B^3*b^3*c^5*d^3*e^3*f*z - 7*B^3*b^4*c^4*d^2*e^4*f*z + 5*B^3*b^2*c^6*d^4*e^2*f*z + 80*A^3*b^2*c^6*d^3*e*f^3*z - 74*A^3*b^3*c^5*d*e^4*f^2*z - 64*A^3*b^4*c^4*d^2*e*f^4*z + 60*A^3*b^4*c^4*d*e^3*f^3*z - 48*B^3*a^4*c^4*d*e^2*f^4*z - 24*B^3*a^3*c^5*d*e^4*f^2*z + 20*B^3*a^2*c^6*d^2*e^4*f*z - 16*A^3*b^5*c^3*d*e^2*f^4*z + 8*A^3*b*c^7*d^3*e^2*f^2*z + 480*A^3*a^2*c^6*d^2*e*f^4*z - 392*A^3*a^2*c^6*d*e^3*f^3*z + 280*A^3*a*c^7*d^2*e^3*f^2*z - 4*B^3*a^4*b*c^3*e^3*f^4*z - 200*A^3*a^3*b*c^4*e^2*f^5*z - 144*A^3*a^2*b*c^5*e^4*f^3*z + 48*B^3*a*b^2*c^5*d^4*f^3*z + 42*A^3*a*b^2*c^5*e^5*f^2*z - 36*B^3*a^4*b^2*c^2*d*f^6*z - 32*A^3*a^3*b^2*c^3*e*f^6*z - 24*A^3*a^2*b^4*c^2*e*f^6*z - 24*A^3*a*b^5*c^2*e^2*f^5*z + 10*A^3*a*b^3*c^4*e^4*f^3*z - 4*B^3*a*b^4*c^3*d^3*f^4*z - 4*A^3*a*b^4*c^3*e^3*f^4*z - 480*A^3*a^2*b*c^5*d^2*f^5*z - 160*A^3*a^2*b^3*c^3*d*f^6*z + 128*A^3*a*b^3*c^4*d^2*f^5*z + 8*A^2*B*b^5*c^3*e^5*f^2*z - 2*A^2*B*b^6*c^2*e^4*f^3*z + 112*A^2*B*b^4*c^4*d^3*f^4*z - 92*A^2*B*a^4*c^4*e^2*f^5*z - 64*A^2*B*a^3*c^5*e^4*f^3*z - 64*A*B^2*b^5*c^3*d^3*f^4*z + 24*A*B^2*a^4*c^4*e^3*f^4*z + 24*A*B^2*a^3*c^5*e^5*f^2*z + 16*A^2*B*b^2*c^6*d^4*f^3*z + 16*A*B^2*b^3*c^5*d^4*f^3*z - A^2*B*b^6*c^2*d^2*f^5*z + 448*A^2*B*a^3*c^5*d^2*f^5*z - 352*A^2*B*a^2*c^6*d^3*f^4*z - 5*A*B^2*b^2*c^6*d^2*e^5*z - 48*A^2*B*a^4*b^2*c^2*f^7*z - 2*B^3*b^7*c*d^2*e*f^4*z + 34*A^3*b^2*c^6*d*e^5*f*z + 16*A^3*b*c^7*d^2*e^4*f*z + 2*A^3*b^6*c^2*d*e*f^5*z - 416*A^3*a^3*c^5*d*e*f^5*z - 224*A^3*a*c^7*d^3*e*f^3*z + 12*B^3*a^3*b^4*c*d*f^6*z - 10*B^3*a*b^6*c*d^2*f^5*z + 416*A^3*a^3*b*c^4*d*f^6*z + 224*A^3*a*b*c^6*d^3*f^4*z + 24*A^3*a*b^5*c^2*d*f^6*z - 4*B^3*a*b*c^6*d^2*e^5*z + 20*A^2*B*c^8*d^4*e^2*f*z - 7*A^2*B*b^4*c^4*e^6*f*z - 2*A^2*B*b^7*c*e^3*f^4*z - 64*A*B^2*a^5*c^3*e*f^6*z + 16*A*B^2*b*c^7*d^5*f^2*z - 8*A^2*B*a^2*c^6*e^6*f*z - 2*A*B^2*b^7*c*d^2*f^5*z - 272*A^2*B*a^4*c^4*d*f^6*z + 128*A^2*B*a*c^7*d^4*f^3*z + 9*A^2*B*b^2*c^6*d*e^6*z - 4*A*B^2*b^3*c^5*d*e^6*z + 4*A*B^2*b*c^7*d^3*e^4*z + 8*A*B^2*a*c^7*d^2*e^5*z + 12*A^2*B*a^3*b^4*c*f^7*z + 30*B^3*b^4*c^4*d^3*e^2*f^2*z + 8*B^3*b^5*c^3*d^2*e^3*f^2*z - 2*B^3*b^6*c^2*d^2*e^2*f^3*z + 152*A^3*b^3*c^5*d^2*e^2*f^3*z - 108*A^3*b^2*c^6*d^2*e^3*f^2*z + 48*B^3*a^3*c^5*d^2*e^2*f^3*z - 16*B^3*a^2*c^6*d^3*e^2*f^2*z - 3*B^3*a^4*b^2*c^2*e^2*f^5*z - 120*B^3*a^2*b^2*c^4*d^3*f^4*z + 112*B^3*a^3*b^2*c^3*d^2*f^5*z + 112*A^3*a^2*b^3*c^3*e^2*f^5*z + 12*A^3*a^2*b^2*c^4*e^3*f^4*z - 120*A^3*a*c^7*d*e^5*f*z - 52*A^3*a*b*c^6*e^6*f*z + 10*A^3*a*b^6*c*e*f^6*z - 2*A*B^2*b^8*d*e*f^5*z - 2*A^2*B*a*b^7*e*f^6*z - 24*A^2*B*a*c^7*d*e^6*z + 2*A*B^2*a*b^7*d*f^6*z - 12*A^2*B*a*b*c^6*e^7*z - 2*A^3*b^7*c*d*f^6*z - 4*A^3*b*c^7*d*e^6*z + 16*B^3*a^5*c^3*e^2*f^5*z + 11*B^3*b^6*c^2*d^3*f^4*z - 11*A^3*b^4*c^4*e^5*f^2*z - 8*B^3*b^4*c^4*d^4*f^3*z - 4*B^3*b^2*c^6*d^5*f^2*z + 4*B^3*a^4*c^4*e^4*f^3*z + 4*A^3*b^5*c^3*e^4*f^3*z - A^3*b^6*c^2*e^3*f^4*z + 136*A^3*a^3*c^5*e^3*f^4*z + 68*A^3*a^2*c^6*e^5*f^2*z - 64*A^3*b^3*c^5*d^3*f^4*z + 2*B^3*b^3*c^5*d^2*e^5*z - B^3*b^2*c^6*d^3*e^4*z + 96*A^3*a^3*b^3*c^2*f^7*z + A*B^2*a^2*b^6*e*f^6*z + 32*A^3*c^8*d^4*e*f^2*z - 24*A^3*c^8*d^3*e^3*f*z + 10*A^3*b^3*c^5*e^6*f*z + 2*A^3*b^7*c*e^2*f^5*z + 128*A^3*a^4*c^4*e*f^6*z - 32*A^3*b*c^7*d^4*f^3*z - 4*B^3*a^2*c^6*d*e^6*z - B^3*a^2*b^6*d*f^6*z - 128*A^3*a^4*b*c^3*f^7*z - 24*A^3*a^2*b^5*c*f^7*z - 16*A^2*B*c^8*d^5*f^2*z - 4*A^2*B*c^8*d^3*e^4*z + 64*A^2*B*a^5*c^3*f^7*z + 2*A^2*B*b^3*c^5*e^7*z + 4*A*B^2*a^2*c^6*e^7*z - A^2*B*a^2*b^6*f^7*z + 4*A^3*c^8*d^2*e^5*z - 3*A^3*b^2*c^6*e^7*z + A^2*B*b^8*d*f^6*z - A^3*b^8*e*f^6*z + 16*A^3*a*c^7*e^7*z + 2*A^3*a*b^7*f^7*z + A^2*B*b^8*e^2*f^5*z + B^3*b^8*d^2*f^5*z - 48*A^2*B^2*a*b*c^4*d*e*f^4 + 28*A*B^3*a*b^2*c^3*d*e*f^4 - 16*A*B^3*a*b*c^4*d*e^2*f^3 + 16*A^3*B*a*c^5*d*e*f^4 + 32*A^3*B*a*b*c^4*d*f^5 + 12*A^2*B^2*b^3*c^3*d*e*f^4 + 5*A*B^3*b^2*c^4*d^2*e*f^3 + 4*A*B^3*b^3*c^3*d*e^2*f^3 + 24*A^2*B^2*a*c^5*d*e^2*f^3 + 24*A^2*B^2*a^2*b*c^3*e*f^5 + 12*A^2*B^2*a*b*c^4*e^3*f^3 - 6*A^2*B^2*a*b^3*c^2*e*f^5 + 4*A*B^3*a^2*b*c^3*e^2*f^4 + 3*A*B^3*a^2*b^2*c^2*e*f^5 - 18*A^2*B^2*a*b^2*c^3*d*f^5 - 4*B^4*a^2*b*c^3*d*e*f^4 + 4*B^4*a*b*c^4*d^2*e*f^3 - 6*A*B^3*b^4*c^2*d*e*f^4 + 4*A^3*B*b*c^5*d*e^2*f^3 - 2*A^3*B*b^2*c^4*d*e*f^4 - 8*A*B^3*a^2*c^4*d*e*f^4 - 8*A*B^3*a*c^5*d^2*e*f^3 + 26*A^3*B*a*b^2*c^3*e*f^5 + 8*A^3*B*a*b*c^4*e^2*f^4 + 32*A*B^3*a*b*c^4*d^2*f^4 - 28*A*B^3*a^2*b*c^3*d*f^5 + 6*A*B^3*a*b^3*c^2*d*f^5 - 9*A^2*B^2*b^2*c^4*d*e^2*f^3 - 18*A^2*B^2*a*b^2*c^3*e^2*f^4 - 4*A^3*B*c^6*d^2*e*f^3 - 3*A^3*B*b^4*c^2*e*f^5 - 44*A^3*B*a^2*c^4*e*f^5 - 16*A^3*B*a*c^5*e^3*f^3 - 16*A*B^3*a^3*c^3*e*f^5 - 10*A^3*B*b^3*c^3*d*f^5 - 4*A^3*B*b*c^5*d^2*f^4 - 4*A*B^3*b*c^5*d^3*f^3 - 28*A^3*B*a^2*b*c^3*f^6 + 6*A^3*B*a*b^3*c^2*f^6 - 4*A^4*b*c^5*d*e*f^4 - 20*A^4*a*b*c^4*e*f^5 + 3*A^2*B^2*b^4*c^2*e^2*f^4 - 2*A^2*B^2*b^3*c^3*e^3*f^3 + 12*A^2*B^2*a^2*c^4*e^2*f^4 + 9*A^2*B^2*b^2*c^4*d^2*f^4 - 3*A^2*B^2*a^2*b^2*c^2*f^6 - 2*B^4*b^3*c^3*d^2*e*f^3 + 4*B^4*a^2*c^4*d*e^2*f^3 - 10*B^4*a*b^2*c^3*d^2*f^4 - 3*B^4*a^2*b^2*c^2*d*f^5 + 3*A^3*B*b^2*c^4*e^3*f^3 - 2*A^3*B*b^3*c^3*e^2*f^4 - 10*A*B^3*b^3*c^3*d^2*f^4 - 4*A*B^3*a^2*c^4*e^3*f^3 + 3*A^2*B^2*b^4*c^2*d*f^5 + 36*A^2*B^2*a^2*c^4*d*f^5 - 24*A^2*B^2*a*c^5*d^2*f^4 + 4*A^2*B^2*c^6*d^3*f^3 + 16*A^2*B^2*a^3*c^3*f^6 + 4*A^4*b^3*c^3*e*f^5 + 16*B^4*a^3*c^3*d*f^5 + 16*A^4*a*c^5*e^2*f^4 + 8*A^4*b^2*c^4*d*f^5 - 8*A^4*a*b^2*c^3*f^6 - 24*A^4*a*c^5*d*f^5 + 3*B^4*b^4*c^2*d^2*f^4 - 3*A^4*b^2*c^4*e^2*f^4 + 4*A^4*c^6*d^2*f^4 + 36*A^4*a^2*c^4*f^6 + B^4*b^2*c^4*d^3*f^3, z, k)*((64*a^9*c^4*e*f^8 - 64*a^6*c^7*e^7*f^2 - 64*a^7*c^6*e^5*f^4 + 64*a^8*c^5*e^3*f^6 + 4*b^5*c^8*d^7*f^2 + 4*b^7*c^6*d^6*f^3 - 4*b^9*c^4*d^5*f^4 - 4*b^11*c^2*d^4*f^5 - 612*a^2*b^5*c^6*d^5*f^4 - 712*a^2*b^7*c^4*d^4*f^5 - 132*a^2*b^9*c^2*d^3*f^6 + 1696*a^3*b^3*c^7*d^5*f^4 + 2736*a^3*b^5*c^5*d^4*f^5 + 896*a^3*b^7*c^3*d^3*f^6 - 5120*a^4*b^3*c^6*d^4*f^5 - 3140*a^4*b^5*c^4*d^3*f^6 - 220*a^4*b^7*c^2*d^2*f^7 + 5664*a^5*b^3*c^5*d^3*f^6 + 1128*a^5*b^5*c^3*d^2*f^7 - 2560*a^6*b^3*c^4*d^2*f^7 + 4*a^3*b^6*c^4*e^7*f^2 - 6*a^3*b^7*c^3*e^6*f^3 + 4*a^3*b^8*c^2*e^5*f^4 - 36*a^4*b^4*c^5*e^7*f^2 + 57*a^4*b^5*c^4*e^6*f^3 - 37*a^4*b^6*c^3*e^5*f^4 + 7*a^4*b^7*c^2*e^4*f^5 + 96*a^5*b^2*c^6*e^7*f^2 - 168*a^5*b^3*c^5*e^6*f^3 + 100*a^5*b^4*c^4*e^5*f^4 - 3*a^5*b^5*c^3*e^4*f^5 - 10*a^5*b^6*c^2*e^3*f^6 - 48*a^6*b^2*c^5*e^5*f^4 - 56*a^6*b^3*c^4*e^4*f^5 + 36*a^6*b^4*c^3*e^3*f^6 - 13*a^6*b^5*c^2*e^2*f^7 - 64*a^7*b^2*c^4*e^3*f^6 + 56*a^7*b^3*c^3*e^2*f^7 - 1472*a^4*c^9*d^4*e^3*f^2 - 1088*a^5*c^8*d^2*e^5*f^2 + 3584*a^5*c^8*d^3*e^3*f^3 - 3200*a^6*c^7*d^2*e^3*f^4 - 2*b^7*c^6*d^5*e^2*f^2 - b^8*c^5*d^4*e^3*f^2 + 4*b^9*c^4*d^3*e^4*f^2 - 5*b^9*c^4*d^4*e^2*f^3 - 6*b^10*c^3*d^3*e^3*f^3 + 4*b^11*c^2*d^3*e^2*f^4 + 8*a*b^11*c*d^3*f^6 + 8*a^5*b^7*c*d*f^8 - 448*a^8*b*c^4*d*f^8 - 16*a^5*b*c^7*e^8*f - a^6*b^6*c*e*f^8 + 128*a^5*c^8*d*e^7*f + 128*a^8*c^5*d*e*f^7 - b^12*c*d^3*e*f^5 - 32*a*b^3*c^9*d^7*f^2 - 24*a*b^5*c^7*d^6*f^3 + 88*a*b^7*c^5*d^5*f^4 + 88*a*b^9*c^3*d^4*f^5 + 64*a^2*b*c^10*d^7*f^2 + 128*a^3*b*c^9*d^6*f^3 + 16*a^3*b^9*c*d^2*f^7 - 1600*a^4*b*c^8*d^5*f^4 + 3840*a^5*b*c^7*d^4*f^5 - 4160*a^6*b*c^6*d^3*f^6 - 92*a^6*b^5*c^2*d*f^8 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416*a^4*c^9*d^4*e^2*f^3 + 1856*a^5*c^8*d^2*e^4*f^3 - 1664*a^5*c^8*d^3*e^2*f^4 + 2336*a^6*c^7*d^2*e^2*f^5 + 26*b^6*c^7*d^5*e^2*f^2 - 8*b^7*c^6*d^4*e^3*f^2 - 10*b^8*c^5*d^3*e^4*f^2 + 58*b^8*c^5*d^4*e^2*f^3 + 8*b^9*c^4*d^2*e^5*f^2 - 12*b^9*c^4*d^3*e^3*f^3 - 12*b^10*c^3*d^2*e^4*f^3 + 36*b^10*c^3*d^3*e^2*f^4 + 8*b^11*c^2*d^2*e^3*f^4 + 2*a^4*b^8*c*d*f^8 + 6*a^5*b^7*c*e*f^8 - 384*a^8*b*c^4*e*f^8 - 64*a*b^2*c^10*d^7*f^2 - 216*a*b^4*c^8*d^6*f^3 - 300*a*b^6*c^6*d^5*f^4 - 240*a*b^8*c^4*d^4*f^5 - 92*a*b^10*c^2*d^3*f^6 + 10*a^2*b^10*c*d^2*f^7 - 12*a^5*b^6*c^2*d*f^8 - 40*a^6*b^4*c^3*d*f^8 + 384*a^7*b^2*c^4*d*f^8 - 2*a^2*b^6*c^5*e^8*f - 2*a^2*b^10*c*e^4*f^5 + 22*a^3*b^4*c^6*e^8*f + 6*a^3*b^9*c*e^3*f^6 - 80*a^4*b^2*c^7*e^8*f - 8*a^4*b^8*c*e^2*f^7 - 416*a^5*b*c^7*e^7*f^2 - 960*a^6*b*c^6*e^5*f^4 - 72*a^6*b^5*c^2*e*f^8 - 928*a^7*b*c^5*e^3*f^6 + 288*a^7*b^3*c^3*e*f^8 - 32*a^2*c^11*d^6*e^2*f + 32*a^3*c^10*d^4*e^4*f + 160*a^4*c^9*d^2*e^6*f - 704*a^5*c^8*d*e^6*f^2 - 1536*a^6*c^7*d*e^4*f^4 - 1472*a^7*c^6*d*e^2*f^6 - 2*b^4*c^9*d^6*e^2*f + 6*b^5*c^8*d^5*e^3*f - 24*b^5*c^8*d^6*e*f^2 - 8*b^6*c^7*d^4*e^4*f + 6*b^7*c^6*d^3*e^5*f - 58*b^7*c^6*d^5*e*f^3 - 2*b^8*c^5*d^2*e^6*f - 60*b^9*c^4*d^4*e*f^4 - 26*b^11*c^2*d^3*e*f^5 - 2*b^12*c*d^2*e^2*f^5 + 16*a*b^2*c^10*d^6*e^2*f - 48*a*b^3*c^9*d^5*e^3*f + 192*a*b^3*c^9*d^6*e*f^2 + 66*a*b^4*c^8*d^4*e^4*f - 52*a*b^5*c^7*d^3*e^5*f + 576*a*b^5*c^7*d^5*e*f^3 + 14*a*b^6*c^6*d^2*e^6*f + 718*a*b^7*c^5*d^4*e*f^4 - 16*a*b^8*c^4*d*e^6*f^2 + 24*a*b^9*c^3*d*e^5*f^3 + 356*a*b^9*c^3*d^3*e*f^5 - 16*a*b^10*c^2*d*e^4*f^4 + 96*a^2*b*c^10*d^5*e^3*f - 384*a^2*b*c^10*d^6*e*f^2 - 42*a^2*b^5*c^6*d*e^7*f - 2*a^2*b^10*c*d*e^2*f^6 - 64*a^3*b*c^9*d^3*e^5*f + 1792*a^3*b*c^9*d^5*e*f^3 + 144*a^3*b^3*c^7*d*e^7*f - 3712*a^4*b*c^8*d^4*e*f^4 + 14*a^4*b^7*c^2*d*e*f^7 + 2368*a^5*b*c^7*d*e^5*f^3 + 4608*a^5*b*c^7*d^3*e*f^5 + 192*a^5*b^5*c^3*d*e*f^7 + 3808*a^6*b*c^6*d*e^3*f^5 - 3712*a^6*b*c^6*d^2*e*f^6 - 1184*a^6*b^3*c^4*d*e*f^7 - 204*a*b^4*c^8*d^5*e^2*f^2 + 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2464*a^4*b^4*c^5*d*e^4*f^4 + 78*a^4*b^5*c^4*d*e^3*f^5 - 1160*a^4*b^5*c^4*d^2*e*f^6 - 574*a^4*b^6*c^3*d*e^2*f^6 - 4928*a^5*b*c^7*d^2*e^3*f^4 - 1152*a^5*b^2*c^6*d*e^4*f^4 - 2416*a^5*b^3*c^5*d*e^3*f^5 + 4096*a^5*b^3*c^5*d^2*e*f^6 + 1748*a^5*b^4*c^4*d*e^2*f^6 - 1280*a^6*b^2*c^5*d*e^2*f^6 + 4*a*b^7*c^5*d*e^7*f + 4*a*b^11*c*d*e^3*f^5 - 10*a*b^11*c*d^2*e*f^6 - 4*a^3*b^9*c*d*e*f^7 - 160*a^4*b*c^8*d*e^7*f + 1792*a^7*b*c^5*d*e*f^7 + 384*a^2*b^2*c^9*d^5*e^2*f^2 + 16*a^2*b^3*c^8*d^4*e^3*f^2 - 624*a^2*b^4*c^7*d^3*e^4*f^2 + 1962*a^2*b^4*c^7*d^4*e^2*f^3 + 348*a^2*b^5*c^6*d^2*e^5*f^2 + 204*a^2*b^5*c^6*d^3*e^3*f^3 - 1214*a^2*b^6*c^5*d^2*e^4*f^3 + 1636*a^2*b^6*c^5*d^3*e^2*f^4 + 1520*a^2*b^7*c^4*d^2*e^3*f^4 - 750*a^2*b^8*c^3*d^2*e^2*f^5 + 1216*a^3*b^2*c^8*d^3*e^4*f^2 - 2224*a^3*b^2*c^8*d^4*e^2*f^3 - 512*a^3*b^3*c^7*d^2*e^5*f^2 - 1632*a^3*b^3*c^7*d^3*e^3*f^3 + 3492*a^3*b^4*c^6*d^2*e^4*f^3 - 2824*a^3*b^4*c^6*d^3*e^2*f^4 - 5492*a^3*b^5*c^5*d^2*e^3*f^4 + 2868*a^3*b^6*c^4*d^2*e^2*f^5 - 4480*a^4*b^2*c^7*d^2*e^4*f^3 + 2432*a^4*b^2*c^7*d^3*e^2*f^4 + 8864*a^4*b^3*c^6*d^2*e^3*f^4 - 4206*a^4*b^4*c^5*d^2*e^2*f^5 + 432*a^5*b^2*c^6*d^2*e^2*f^5))/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + 16*a^4*c^4*e^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 2*a^3*b^5*e*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 - 2*b^5*c^3*d^3*e + 2*b^6*c^2*d^3*f + a^2*b^4*c^2*e^4 - 8*a^3*b^2*c^3*e^4 + 32*a^3*c^5*d^2*e^2 + a^2*b^6*e^2*f^2 + 96*a^4*c^4*d^2*f^2 + b^6*c^2*d^2*e^2 + 32*a^5*c^3*e^2*f^2 - 2*a*b^7*d*e*f^2 - 2*b^7*c*d^2*e*f + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 + 16*a*b^3*c^4*d^3*e - 2*a*b^5*c^2*d*e^3 - 32*a^2*b*c^5*d^3*e - 32*a^3*b*c^4*d*e^3 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 - 2*a^2*b^5*c*e^3*f - 32*a^4*b*c^3*e^3*f + 16*a^4*b^3*c*e*f^3 - 32*a^5*b*c^2*e*f^3 - 64*a^4*c^4*d*e^2*f - 6*a*b^4*c^3*d^2*e^2 + 16*a^2*b^3*c^3*d*e^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3 + 16*a^3*b^3*c^2*e^3*f - 6*a^3*b^4*c*e^2*f^2 - 48*a^2*b^3*c^3*d^2*e*f - 36*a^2*b^4*c^2*d*e^2*f + 96*a^3*b^2*c^3*d*e^2*f - 48*a^3*b^3*c^2*d*e*f^2 + 4*a*b^6*c*d*e^2*f + 18*a*b^5*c^2*d^2*e*f + 18*a^2*b^5*c*d*e*f^2 + 32*a^3*b*c^4*d^2*e*f + 32*a^4*b*c^3*d*e*f^2)) - (64*A*a^7*c^4*f^8 - A*a^4*b^6*c*f^8 + 32*A*a*c^10*d^6*f^2 - 352*A*a^6*c^5*d*f^7 - A*b^10*c*d^2*f^6 + 8*B*a^4*c^7*e^7*f - 64*B*a^7*c^4*e*f^7 + 12*A*a^5*b^4*c^2*f^8 - 48*A*a^6*b^2*c^3*f^8 - 224*A*a^2*c^9*d^5*f^3 + 640*A*a^3*c^8*d^4*f^4 - 960*A*a^4*c^7*d^3*f^5 + 800*A*a^5*c^6*d^2*f^6 - 40*A*a^4*c^7*e^6*f^2 - 80*A*a^5*c^6*e^4*f^4 + 24*A*a^6*c^5*e^2*f^6 - 8*A*b^2*c^9*d^6*f^2 - 16*A*b^4*c^7*d^5*f^3 - A*b^6*c^5*d^4*f^4 + 6*A*b^8*c^3*d^3*f^5 + 16*B*a^5*c^6*e^5*f^3 - 56*B*a^6*c^5*e^3*f^5 + 4*B*b^3*c^8*d^6*f^2 + 12*B*b^5*c^6*d^5*f^3 + 4*B*b^7*c^4*d^4*f^4 - 4*B*b^9*c^2*d^3*f^5 + 120*A*a*b^2*c^8*d^5*f^3 + 60*A*a*b^4*c^6*d^4*f^4 - 36*A*a*b^6*c^4*d^3*f^5 + 8*A*a*b^8*c^2*d^2*f^6 + 20*A*a^3*b^6*c^2*d*f^7 - 80*A*a^4*b^4*c^3*d*f^7 + 216*A*a^5*b^2*c^4*d*f^7 + 4*A*a*b^6*c^4*e^6*f^2 - 6*A*a*b^7*c^3*e^5*f^3 + 4*A*a*b^8*c^2*e^4*f^4 + 9*A*a^2*b^3*c^6*e^7*f + 2*A*a^2*b^8*c*e^2*f^6 + 88*A*a^4*b*c^6*e^5*f^3 + 172*A*a^5*b*c^5*e^3*f^5 - 92*B*a*b^3*c^7*d^5*f^3 - 72*B*a*b^5*c^5*d^4*f^4 + 20*B*a*b^7*c^3*d^3*f^5 + 176*B*a^2*b*c^8*d^5*f^3 - 544*B*a^3*b*c^7*d^4*f^4 + 736*B*a^4*b*c^6*d^3*f^5 + 4*B*a^4*b^5*c^2*d*f^7 - 464*B*a^5*b*c^5*d^2*f^6 - 44*B*a^5*b^3*c^3*d*f^7 - 2*B*a^3*b^2*c^6*e^7*f - B*a^3*b^7*c*e^2*f^6 - 28*B*a^4*b*c^6*e^6*f^2 - 56*B*a^5*b*c^5*e^4*f^4 - 12*B*a^5*b^4*c^2*e*f^7 + 36*B*a^6*b*c^4*e^2*f^6 + 48*B*a^6*b^2*c^3*e*f^7 - 16*A*a^2*c^9*d^3*e^4*f + 48*A*a^4*c^7*d*e^4*f^3 - 168*A*a^5*c^6*d*e^2*f^5 + 2*A*b^2*c^9*d^5*e^2*f - 3*A*b^3*c^8*d^4*e^3*f + 12*A*b^3*c^8*d^5*e*f^2 - 4*A*b^7*c^4*d*e^5*f^2 - 12*A*b^7*c^4*d^3*e*f^4 + 6*A*b^8*c^3*d*e^4*f^3 - 4*A*b^9*c^2*d*e^3*f^4 + 8*A*b^9*c^2*d^2*e*f^5 + 8*B*a^2*c^9*d^4*e^3*f - 32*B*a^2*c^9*d^5*e*f^2 + 16*B*a^3*c^8*d^2*e^5*f + 64*B*a^3*c^8*d^4*e*f^3 + 64*B*a^4*c^7*d^3*e*f^4 + 96*B*a^5*c^6*d*e^3*f^4 - 256*B*a^5*c^6*d^2*e*f^5 - B*b^3*c^8*d^5*e^2*f + 2*B*b^4*c^7*d^4*e^3*f - 8*B*b^4*c^7*d^5*e*f^2 - B*b^6*c^5*d^2*e^5*f - 3*B*b^6*c^5*d^4*e*f^3 + 12*B*b^8*c^3*d^3*e*f^4 - 384*A*a^2*b^2*c^7*d^4*f^4 - 32*A*a^2*b^4*c^5*d^3*f^5 - 14*A*a^2*b^6*c^3*d^2*f^6 + 560*A*a^3*b^2*c^6*d^3*f^5 + 56*A*a^3*b^4*c^4*d^2*f^6 - 456*A*a^4*b^2*c^5*d^2*f^6 - 38*A*a^2*b^4*c^5*e^6*f^2 + 58*A*a^2*b^5*c^4*e^5*f^3 - 36*A*a^2*b^6*c^3*e^4*f^4 + 5*A*a^2*b^7*c^2*e^3*f^5 + 98*A*a^3*b^2*c^6*e^6*f^2 - 158*A*a^3*b^3*c^5*e^5*f^3 + 80*A*a^3*b^4*c^4*e^4*f^4 + 22*A*a^3*b^5*c^3*e^3*f^5 - 22*A*a^3*b^6*c^2*e^2*f^6 + 20*A*a^4*b^2*c^5*e^4*f^4 - 147*A*a^4*b^3*c^4*e^3*f^5 + 80*A*a^4*b^4*c^3*e^2*f^6 - 102*A*a^5*b^2*c^4*e^2*f^6 + 360*B*a^2*b^3*c^6*d^4*f^4 + 64*B*a^2*b^5*c^4*d^3*f^5 - 504*B*a^3*b^3*c^5*d^3*f^5 - 40*B*a^3*b^5*c^3*d^2*f^6 + 276*B*a^4*b^3*c^4*d^2*f^6 + 7*B*a^3*b^3*c^5*e^6*f^2 - 8*B*a^3*b^4*c^4*e^5*f^3 + 2*B*a^3*b^5*c^3*e^4*f^4 + 2*B*a^3*b^6*c^2*e^3*f^5 + 28*B*a^4*b^2*c^5*e^5*f^3 + 6*B*a^4*b^3*c^4*e^4*f^4 - 26*B*a^4*b^4*c^3*e^3*f^5 + 11*B*a^4*b^5*c^2*e^2*f^6 + 86*B*a^5*b^2*c^4*e^3*f^5 - 37*B*a^5*b^3*c^3*e^2*f^6 + 120*A*a^2*c^9*d^4*e^2*f^2 + 48*A*a^3*c^8*d^2*e^4*f^2 - 336*A*a^3*c^8*d^3*e^2*f^3 + 368*A*a^4*c^7*d^2*e^2*f^4 + 4*A*b^4*c^7*d^4*e^2*f^2 - 5*A*b^6*c^5*d^2*e^4*f^2 + 6*A*b^6*c^5*d^3*e^2*f^3 + 16*A*b^7*c^4*d^2*e^3*f^3 - 18*A*b^8*c^3*d^2*e^2*f^4 - 32*B*a^3*c^8*d^3*e^3*f^2 - 16*B*a^4*c^7*d^2*e^3*f^3 - 3*B*b^5*c^6*d^4*e^2*f^2 + 4*B*b^6*c^5*d^3*e^3*f^2 + 4*B*b^7*c^4*d^2*e^4*f^2 - 12*B*b^7*c^4*d^3*e^2*f^3 - 6*B*b^8*c^3*d^2*e^3*f^3 + 4*B*b^9*c^2*d^2*e^2*f^4 - 2*A*a^2*b^8*c*d*f^7 - A*a*b^5*c^5*e^7*f - A*a*b^9*c*e^3*f^5 - 20*A*a^3*b*c^7*e^7*f - 16*B*a*b*c^9*d^6*f^2 + 112*B*a^6*b*c^4*d*f^7 + B*a^4*b^6*c*e*f^7 - 8*A*a*c^10*d^5*e^2*f - 8*A*a^3*c^8*d*e^6*f + A*b^6*c^5*d*e^6*f + A*b^10*c*d*e^2*f^5 + 224*B*a^6*c^5*d*e*f^6 - B*b^10*c*d^2*e*f^5 + 12*A*a*b*c^9*d^4*e^3*f - 48*A*a*b*c^9*d^5*e*f^2 - 10*A*a*b^4*c^6*d*e^6*f + 80*A*a^5*b*c^5*d*e*f^6 + 4*B*a*b*c^9*d^5*e^2*f + B*a*b^5*c^5*d*e^6*f + B*a*b^9*c*d*e^2*f^5 + 4*B*a^3*b*c^7*d*e^6*f - 92*A*a^2*b^2*c^7*d^2*e^4*f^2 + 132*A*a^2*b^2*c^7*d^3*e^2*f^3 + 446*A*a^2*b^3*c^6*d^2*e^3*f^3 - 604*A*a^2*b^4*c^5*d^2*e^2*f^4 + 340*A*a^3*b^2*c^6*d^2*e^2*f^4 + 72*B*a^2*b^2*c^7*d^3*e^3*f^2 + 134*B*a^2*b^3*c^6*d^2*e^4*f^2 - 306*B*a^2*b^3*c^6*d^3*e^2*f^3 - 264*B*a^2*b^4*c^5*d^2*e^3*f^3 + 188*B*a^2*b^5*c^4*d^2*e^2*f^4 + 292*B*a^3*b^2*c^6*d^2*e^3*f^3 + 6*B*a^3*b^3*c^5*d^2*e^2*f^4 + 4*A*a*b^2*c^8*d^3*e^4*f + 2*A*a*b^3*c^7*d^2*e^5*f - 16*A*a*b^3*c^7*d^4*e*f^3 + 48*A*a*b^5*c^5*d*e^5*f^2 + 72*A*a*b^5*c^5*d^3*e*f^4 - 84*A*a*b^6*c^4*d*e^4*f^3 + 64*A*a*b^7*c^3*d*e^3*f^4 - 88*A*a*b^7*c^3*d^2*e*f^5 - 18*A*a*b^8*c^2*d*e^2*f^5 - 8*A*a^2*b*c^8*d^2*e^5*f + 64*A*a^2*b*c^8*d^4*e*f^3 + 26*A*a^2*b^2*c^7*d*e^6*f + 16*A*a^2*b^7*c^2*d*e*f^6 + 192*A*a^3*b*c^7*d*e^5*f^2 + 96*A*a^3*b*c^7*d^3*e*f^4 - 136*A*a^3*b^5*c^3*d*e*f^6 + 80*A*a^4*b*c^6*d*e^3*f^4 - 192*A*a^4*b*c^6*d^2*e*f^5 + 268*A*a^4*b^3*c^4*d*e*f^6 - 10*B*a*b^2*c^8*d^4*e^3*f + 40*B*a*b^2*c^8*d^5*e*f^2 - 2*B*a*b^3*c^7*d^3*e^4*f + 8*B*a*b^4*c^6*d^2*e^5*f + 36*B*a*b^4*c^6*d^4*e*f^3 - 4*B*a*b^6*c^4*d*e^5*f^2 - 88*B*a*b^6*c^4*d^3*e*f^4 + 6*B*a*b^7*c^3*d*e^4*f^3 - 4*B*a*b^8*c^2*d*e^3*f^4 + 16*B*a*b^8*c^2*d^2*e*f^5 + 8*B*a^2*b*c^8*d^3*e^4*f - 5*B*a^2*b^3*c^6*d*e^6*f - 8*B*a^3*b^6*c^2*d*e*f^6 + 40*B*a^4*b*c^6*d*e^4*f^3 + 104*B*a^4*b^4*c^3*d*e*f^6 + 148*B*a^5*b*c^5*d*e^2*f^5 - 344*B*a^5*b^2*c^4*d*e*f^6 - 46*A*a*b^2*c^8*d^4*e^2*f^2 - 4*A*a*b^3*c^7*d^3*e^3*f^2 + 40*A*a*b^4*c^6*d^2*e^4*f^2 - 36*A*a*b^4*c^6*d^3*e^2*f^3 - 158*A*a*b^5*c^5*d^2*e^3*f^3 + 196*A*a*b^6*c^4*d^2*e^2*f^4 + 16*A*a^2*b*c^8*d^3*e^3*f^2 - 176*A*a^2*b^3*c^6*d*e^5*f^2 - 120*A*a^2*b^3*c^6*d^3*e*f^4 + 380*A*a^2*b^4*c^5*d*e^4*f^3 - 324*A*a^2*b^5*c^4*d*e^3*f^4 + 272*A*a^2*b^5*c^4*d^2*e*f^5 + 80*A*a^2*b^6*c^3*d*e^2*f^5 - 280*A*a^3*b*c^7*d^2*e^3*f^3 - 572*A*a^3*b^2*c^6*d*e^4*f^3 + 508*A*a^3*b^3*c^5*d*e^3*f^4 - 144*A*a^3*b^3*c^5*d^2*e*f^5 - 4*A*a^3*b^4*c^4*d*e^2*f^5 - 326*A*a^4*b^2*c^5*d*e^2*f^5 + 31*B*a*b^3*c^7*d^4*e^2*f^2 - 32*B*a*b^4*c^6*d^3*e^3*f^2 - 40*B*a*b^5*c^5*d^2*e^4*f^2 + 102*B*a*b^5*c^5*d^3*e^2*f^3 + 72*B*a*b^6*c^4*d^2*e^3*f^3 - 56*B*a*b^7*c^3*d^2*e^2*f^4 - 76*B*a^2*b*c^8*d^4*e^2*f^2 - 20*B*a^2*b^2*c^7*d^2*e^5*f - 112*B*a^2*b^2*c^7*d^4*e*f^3 + 24*B*a^2*b^4*c^5*d*e^5*f^2 + 192*B*a^2*b^4*c^5*d^3*e*f^4 - 42*B*a^2*b^5*c^4*d*e^4*f^3 + 32*B*a^2*b^6*c^3*d*e^3*f^4 - 38*B*a^2*b^6*c^3*d^2*e*f^5 - 9*B*a^2*b^7*c^2*d*e^2*f^5 - 152*B*a^3*b*c^7*d^2*e^4*f^2 + 360*B*a^3*b*c^7*d^3*e^2*f^3 - 32*B*a^3*b^2*c^6*d*e^5*f^2 - 144*B*a^3*b^2*c^6*d^3*e*f^4 + 62*B*a^3*b^3*c^5*d*e^4*f^3 - 40*B*a^3*b^4*c^4*d*e^3*f^4 - 152*B*a^3*b^4*c^4*d^2*e*f^5 + 14*B*a^3*b^5*c^3*d*e^2*f^5 - 472*B*a^4*b*c^6*d^2*e^2*f^4 - 120*B*a^4*b^2*c^5*d*e^3*f^4 + 512*B*a^4*b^2*c^5*d^2*e*f^5 - 13*B*a^4*b^3*c^4*d*e^2*f^5)/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + 16*a^4*c^4*e^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 2*a^3*b^5*e*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 - 2*b^5*c^3*d^3*e + 2*b^6*c^2*d^3*f 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48*A*a^4*b^5*c^2*f^8 + 192*A*a^5*b^3*c^3*f^8 + 12*B*a^5*b^4*c^2*f^8 - 48*B*a^6*b^2*c^3*f^8 + 256*A*a^4*c^7*e^5*f^3 + 464*A*a^5*c^6*e^3*f^5 - 16*A*b^3*c^8*d^5*f^3 - 48*A*b^5*c^6*d^4*f^4 - 36*A*b^7*c^4*d^3*f^5 - 4*A*b^9*c^2*d^2*f^6 - 64*B*a^2*c^9*d^5*f^3 + 320*B*a^3*c^8*d^4*f^4 - 640*B*a^4*c^7*d^3*f^5 + 640*B*a^5*c^6*d^2*f^6 - 16*B*a^4*c^7*e^6*f^2 - 64*B*a^5*c^6*e^4*f^4 + 16*B*a^6*c^5*e^2*f^6 + 4*B*b^4*c^7*d^5*f^3 + 23*B*b^6*c^5*d^4*f^4 + 22*B*b^8*c^3*d^3*f^5 + 320*A*a*b^3*c^7*d^4*f^4 + 352*A*a*b^5*c^5*d^3*f^5 + 76*A*a*b^7*c^3*d^2*f^6 - 512*A*a^2*b*c^8*d^4*f^4 - 60*A*a^2*b^7*c^2*d*f^7 + 1408*A*a^3*b*c^7*d^3*f^5 + 352*A*a^3*b^5*c^3*d*f^7 - 1792*A*a^4*b*c^6*d^2*f^6 - 976*A*a^4*b^3*c^4*d*f^7 - 6*A*a*b^5*c^5*e^6*f^2 + 4*A*a*b^6*c^4*e^5*f^3 + 4*A*a*b^7*c^3*e^4*f^4 - 6*A*a*b^8*c^2*e^3*f^5 - 20*A*a^2*b^2*c^7*e^7*f - 144*A*a^3*b*c^7*e^6*f^2 + 68*A*a^3*b^6*c^2*e*f^7 - 640*A*a^4*b*c^6*e^4*f^4 - 240*A*a^4*b^4*c^3*e*f^7 - 848*A*a^5*b*c^5*e^2*f^6 + 192*A*a^5*b^2*c^4*e*f^7 - 132*B*a*b^4*c^6*d^4*f^4 - 196*B*a*b^6*c^4*d^3*f^5 - 40*B*a*b^8*c^2*d^2*f^6 - 20*B*a^3*b^6*c^2*d*f^7 + 52*B*a^4*b^4*c^3*d*f^7 + 64*B*a^5*b^2*c^4*d*f^7 + 2*B*a^2*b^3*c^6*e^7*f + B*a^2*b^8*c*e^2*f^6 + 16*B*a^4*b*c^6*e^5*f^3 + 120*B*a^5*b*c^5*e^3*f^5 + 64*A*a^2*c^9*d^2*e^5*f + 512*A*a^2*c^9*d^4*e*f^3 - 384*A*a^3*c^8*d*e^5*f^2 - 1408*A*a^3*c^8*d^3*e*f^4 - 1280*A*a^4*c^7*d*e^3*f^4 + 1792*A*a^4*c^7*d^2*e*f^5 - 4*A*b^2*c^9*d^4*e^3*f + 16*A*b^2*c^9*d^5*e*f^2 + 8*A*b^3*c^8*d^3*e^4*f - 2*A*b^4*c^7*d^2*e^5*f + 80*A*b^4*c^7*d^4*e*f^3 + 6*A*b^6*c^5*d*e^5*f^2 + 76*A*b^6*c^5*d^3*e*f^4 - 4*A*b^7*c^4*d*e^4*f^3 - 4*A*b^8*c^3*d*e^3*f^4 - 2*A*b^8*c^3*d^2*e*f^5 + 6*A*b^9*c^2*d*e^2*f^5 - 32*B*a^2*c^9*d^3*e^4*f - 96*B*a^4*c^7*d*e^4*f^3 - 192*B*a^5*c^6*d*e^2*f^5 + 2*B*b^3*c^8*d^4*e^3*f - 8*B*b^3*c^8*d^5*e*f^2 - 6*B*b^4*c^7*d^3*e^4*f + 4*B*b^5*c^6*d^2*e^5*f - 48*B*b^5*c^6*d^4*e*f^3 - 60*B*b^7*c^4*d^3*e*f^4 - 8*B*b^9*c^2*d^2*e*f^5 + 4*A*a*b^9*c*d*f^7 - 2*A*b^10*c*d*e*f^6 - 1184*A*a^2*b^3*c^6*d^3*f^5 - 544*A*a^2*b^5*c^4*d^2*f^6 + 1664*A*a^3*b^3*c^5*d^2*f^6 + 60*A*a^2*b^3*c^6*e^6*f^2 - 30*A*a^2*b^4*c^5*e^5*f^3 - 64*A*a^2*b^5*c^4*e^4*f^4 + 72*A*a^2*b^6*c^3*e^3*f^5 - 12*A*a^2*b^7*c^2*e^2*f^6 - 8*A*a^3*b^2*c^6*e^5*f^3 + 352*A*a^3*b^3*c^5*e^4*f^4 - 268*A*a^3*b^4*c^4*e^3*f^5 - 52*A*a^3*b^5*c^3*e^2*f^6 + 188*A*a^4*b^2*c^5*e^3*f^5 + 484*A*a^4*b^3*c^4*e^2*f^6 + 80*B*a^2*b^2*c^7*d^4*f^4 + 520*B*a^2*b^4*c^5*d^3*f^5 + 210*B*a^2*b^6*c^3*d^2*f^6 - 192*B*a^3*b^2*c^6*d^3*f^5 - 456*B*a^3*b^4*c^4*d^2*f^6 + 96*B*a^4*b^2*c^5*d^2*f^6 - 7*B*a^2*b^4*c^5*e^6*f^2 + 8*B*a^2*b^5*c^4*e^5*f^3 - 2*B*a^2*b^6*c^3*e^4*f^4 - 2*B*a^2*b^7*c^2*e^3*f^5 + 32*B*a^3*b^2*c^6*e^6*f^2 - 36*B*a^3*b^3*c^5*e^5*f^3 - 4*B*a^3*b^4*c^4*e^4*f^4 + 28*B*a^3*b^5*c^3*e^3*f^5 - 12*B*a^3*b^6*c^2*e^2*f^6 + 64*B*a^4*b^2*c^5*e^4*f^4 - 110*B*a^4*b^3*c^4*e^3*f^5 + 47*B*a^4*b^4*c^3*e^2*f^6 - 64*B*a^5*b^2*c^4*e^2*f^6 - 384*A*a^2*c^9*d^3*e^3*f^2 + 1184*A*a^3*c^8*d^2*e^3*f^3 - 28*A*b^3*c^8*d^4*e^2*f^2 - 12*A*b^4*c^7*d^3*e^3*f^2 + 20*A*b^5*c^6*d^2*e^4*f^2 - 36*A*b^5*c^6*d^3*e^2*f^3 - 44*A*b^6*c^5*d^2*e^3*f^3 + 32*A*b^7*c^4*d^2*e^2*f^4 + 144*B*a^2*c^9*d^4*e^2*f^2 + 192*B*a^3*c^8*d^2*e^4*f^2 - 448*B*a^3*c^8*d^3*e^2*f^3 + 480*B*a^4*c^7*d^2*e^2*f^4 + 23*B*b^4*c^7*d^4*e^2*f^2 - 4*B*b^5*c^6*d^3*e^3*f^2 - 13*B*b^6*c^5*d^2*e^4*f^2 + 48*B*b^6*c^5*d^3*e^2*f^3 + 12*B*b^7*c^4*d^2*e^3*f^3 + 2*B*b^8*c^3*d^2*e^2*f^4 + 64*A*a*b*c^9*d^5*f^3 + 1088*A*a^5*b*c^5*d*f^7 + 2*A*a*b^4*c^6*e^7*f + 2*A*a*b^9*c*e^2*f^6 - 6*A*a^2*b^8*c*e*f^7 + 2*B*a^2*b^8*c*d*f^7 - 8*B*a^3*b*c^7*e^7*f + 16*A*a*c^10*d^4*e^3*f - 64*A*a*c^10*d^5*e*f^2 - 1088*A*a^5*c^6*d*e*f^6 - 2*A*b^5*c^6*d*e^6*f - 32*B*a^3*c^8*d*e^6*f - 32*A*a*b*c^9*d^3*e^4*f + 24*A*a*b^3*c^7*d*e^6*f + 24*A*a*b^8*c^2*d*e*f^6 - 64*A*a^2*b*c^8*d*e^6*f - 8*B*a*b*c^9*d^4*e^3*f + 32*B*a*b*c^9*d^5*e*f^2 - 6*B*a*b^4*c^6*d*e^6*f + 288*B*a^5*b*c^5*d*e*f^6 - 1496*A*a^2*b^2*c^7*d^2*e^3*f^3 + 1496*A*a^2*b^3*c^6*d^2*e^2*f^4 - 272*B*a^2*b^2*c^7*d^2*e^4*f^2 + 640*B*a^2*b^2*c^7*d^3*e^2*f^3 + 636*B*a^2*b^3*c^6*d^2*e^3*f^3 - 286*B*a^2*b^4*c^5*d^2*e^2*f^4 + 192*B*a^3*b^2*c^6*d^2*e^2*f^4 + 112*A*a*b*c^9*d^4*e^2*f^2 - 8*A*a*b^2*c^8*d^2*e^5*f - 448*A*a*b^2*c^8*d^4*e*f^3 - 88*A*a*b^4*c^6*d*e^5*f^2 - 576*A*a*b^4*c^6*d^3*e*f^4 + 84*A*a*b^5*c^5*d*e^4*f^3 + 32*A*a*b^6*c^4*d*e^3*f^4 + 12*A*a*b^6*c^4*d^2*e*f^5 - 80*A*a*b^7*c^3*d*e^2*f^5 - 108*A*a^2*b^6*c^3*d*e*f^6 + 736*A*a^3*b*c^7*d*e^4*f^3 + 192*A*a^3*b^4*c^4*d*e*f^6 + 2048*A*a^4*b*c^6*d*e^2*f^5 + 208*A*a^4*b^2*c^5*d*e*f^6 + 32*B*a*b^2*c^8*d^3*e^4*f - 20*B*a*b^3*c^7*d^2*e^5*f + 288*B*a*b^3*c^7*d^4*e*f^3 + 20*B*a*b^5*c^5*d*e^5*f^2 + 480*B*a*b^5*c^5*d^3*e*f^4 - 20*B*a*b^6*c^4*d*e^4*f^3 + 72*B*a*b^7*c^3*d^2*e*f^5 + 10*B*a*b^8*c^2*d*e^2*f^5 + 16*B*a^2*b*c^8*d^2*e^5*f - 384*B*a^2*b*c^8*d^4*e*f^3 + 32*B*a^2*b^2*c^7*d*e^6*f + 44*B*a^2*b^7*c^2*d*e*f^6 + 192*B*a^3*b*c^7*d*e^5*f^2 + 960*B*a^3*b*c^7*d^3*e*f^4 - 160*B*a^3*b^5*c^3*d*e*f^6 + 544*B*a^4*b*c^6*d*e^3*f^4 - 896*B*a^4*b*c^6*d^2*e*f^5 + 120*B*a^4*b^3*c^4*d*e*f^6 - 4*B*a*b^9*c*d*e*f^6 + 144*A*a*b^2*c^8*d^3*e^3*f^2 - 144*A*a*b^3*c^7*d^2*e^4*f^2 + 112*A*a*b^3*c^7*d^3*e^2*f^3 + 476*A*a*b^4*c^6*d^2*e^3*f^3 - 412*A*a*b^5*c^5*d^2*e^2*f^4 + 256*A*a^2*b*c^8*d^2*e^4*f^2 + 128*A*a^2*b*c^8*d^3*e^2*f^3 + 352*A*a^2*b^2*c^7*d*e^5*f^2 + 1440*A*a^2*b^2*c^7*d^3*e*f^4 - 456*A*a^2*b^3*c^6*d*e^4*f^3 - 116*A*a^2*b^4*c^5*d*e^3*f^4 + 224*A*a^2*b^4*c^5*d^2*e*f^5 + 452*A*a^2*b^5*c^4*d*e^2*f^5 - 1440*A*a^3*b*c^7*d^2*e^2*f^4 + 528*A*a^3*b^2*c^6*d*e^3*f^4 - 1408*A*a^3*b^2*c^6*d^2*e*f^5 - 1424*A*a^3*b^3*c^5*d*e^2*f^5 - 128*B*a*b^2*c^8*d^4*e^2*f^2 + 8*B*a*b^3*c^7*d^3*e^3*f^2 + 108*B*a*b^4*c^6*d^2*e^4*f^2 - 324*B*a*b^4*c^6*d^3*e^2*f^3 - 164*B*a*b^5*c^5*d^2*e^3*f^3 + 44*B*a*b^6*c^4*d^2*e^2*f^4 + 32*B*a^2*b*c^8*d^3*e^3*f^2 - 128*B*a^2*b^3*c^6*d*e^5*f^2 - 1200*B*a^2*b^3*c^6*d^3*e*f^4 + 142*B*a^2*b^4*c^5*d*e^4*f^3 + 20*B*a^2*b^5*c^4*d*e^3*f^4 - 304*B*a^2*b^5*c^4*d^2*e*f^5 - 112*B*a^2*b^6*c^3*d*e^2*f^5 - 688*B*a^3*b*c^7*d^2*e^3*f^3 - 224*B*a^3*b^2*c^6*d*e^4*f^3 - 216*B*a^3*b^3*c^5*d*e^3*f^4 + 800*B*a^3*b^3*c^5*d^2*e*f^5 + 460*B*a^3*b^4*c^4*d*e^2*f^5 - 640*B*a^4*b^2*c^5*d*e^2*f^5))/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + 16*a^4*c^4*e^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 2*a^3*b^5*e*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 - 2*b^5*c^3*d^3*e + 2*b^6*c^2*d^3*f + a^2*b^4*c^2*e^4 - 8*a^3*b^2*c^3*e^4 + 32*a^3*c^5*d^2*e^2 + a^2*b^6*e^2*f^2 + 96*a^4*c^4*d^2*f^2 + b^6*c^2*d^2*e^2 + 32*a^5*c^3*e^2*f^2 - 2*a*b^7*d*e*f^2 - 2*b^7*c*d^2*e*f + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 + 16*a*b^3*c^4*d^3*e - 2*a*b^5*c^2*d*e^3 - 32*a^2*b*c^5*d^3*e - 32*a^3*b*c^4*d*e^3 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 - 2*a^2*b^5*c*e^3*f - 32*a^4*b*c^3*e^3*f + 16*a^4*b^3*c*e*f^3 - 32*a^5*b*c^2*e*f^3 - 64*a^4*c^4*d*e^2*f - 6*a*b^4*c^3*d^2*e^2 + 16*a^2*b^3*c^3*d*e^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3 + 16*a^3*b^3*c^2*e^3*f - 6*a^3*b^4*c*e^2*f^2 - 48*a^2*b^3*c^3*d^2*e*f - 36*a^2*b^4*c^2*d*e^2*f + 96*a^3*b^2*c^3*d*e^2*f - 48*a^3*b^3*c^2*d*e*f^2 + 4*a*b^6*c*d*e^2*f + 18*a*b^5*c^2*d^2*e*f + 18*a^2*b^5*c*d*e*f^2 + 32*a^3*b*c^4*d^2*e*f + 32*a^4*b*c^3*d*e*f^2)) - (56*A^2*a^3*b^3*c^3*f^7 - 13*A^2*a^2*b^5*c^2*f^7 - 24*A^2*a^2*c^7*e^5*f^2 - 16*A^2*b^3*c^6*d^3*f^4 - A^2*b^5*c^4*d^2*f^5 + 2*A^2*b^4*c^5*e^5*f^2 - A^2*b^5*c^4*e^4*f^3 - A^2*b^6*c^3*e^3*f^4 + 2*A^2*b^7*c^2*e^2*f^5 - 12*B^2*a^4*c^5*e^3*f^4 - 8*B^2*b^3*c^6*d^4*f^3 - 9*B^2*b^5*c^4*d^3*f^4 + 64*A*B*a^5*c^4*f^7 + A^2*a*b^7*c*f^7 - A^2*b^8*c*e*f^6 - 80*A^2*a^4*b*c^4*f^7 - 16*A^2*b*c^8*d^4*f^3 + 28*A^2*a^4*c^5*e*f^6 - 2*A^2*b^7*c^2*d*f^6 - A^2*b^3*c^6*e^6*f - 16*B^2*a^5*c^4*e*f^6 - 4*A^2*c^9*d^3*e^3*f + 12*A^2*c^9*d^4*e*f^2 + 48*A^2*a*b*c^7*d^3*f^4 + 22*A^2*a*b^5*c^3*d*f^6 + 48*A^2*a^3*b*c^5*d*f^6 + 12*A^2*a*b^6*c^2*e*f^6 + 16*B^2*a*b*c^7*d^4*f^3 + 64*B^2*a^4*b*c^4*d*f^6 - 16*A^2*a*c^8*d^3*e*f^3 + 80*A^2*a^3*c^6*d*e*f^5 + 4*A^2*b*c^8*d^2*e^4*f + A^2*b^2*c^7*d*e^5*f + 2*A^2*b^6*c^3*d*e*f^5 + 4*B^2*a^2*c^7*d*e^5*f - 64*B^2*a^4*c^5*d*e*f^5 + A*B*b^8*c*d*f^6 + 8*A^2*a*b^3*c^5*d^2*f^5 - 64*A^2*a^2*b^3*c^4*d*f^6 - 2*A^2*a*b^2*c^6*e^5*f^2 - 10*A^2*a*b^3*c^5*e^4*f^3 + 20*A^2*a*b^4*c^4*e^3*f^4 - 25*A^2*a*b^5*c^3*e^2*f^5 + 56*A^2*a^2*b*c^6*e^4*f^3 - 44*A^2*a^2*b^4*c^3*e*f^6 - 76*A^2*a^3*b*c^5*e^2*f^5 + 40*A^2*a^3*b^2*c^4*e*f^6 + 56*B^2*a*b^3*c^5*d^3*f^4 - 2*B^2*a*b^5*c^3*d^2*f^5 - 96*B^2*a^2*b*c^6*d^3*f^4 + 11*B^2*a^2*b^5*c^2*d*f^6 + 16*B^2*a^3*b*c^5*d^2*f^5 - 40*B^2*a^3*b^3*c^3*d*f^6 + 16*B^2*a^4*b*c^4*e^2*f^5 + 3*B^2*a^4*b^2*c^3*e*f^6 + 24*A^2*a*c^8*d^2*e^3*f^2 + 92*A^2*a^2*c^7*d*e^3*f^3 - 104*A^2*a^2*c^7*d^2*e*f^4 - 4*A^2*b*c^8*d^3*e^2*f^2 + 20*A^2*b^2*c^7*d^3*e*f^3 - A^2*b^4*c^5*d*e^3*f^3 - 8*A^2*b^4*c^5*d^2*e*f^4 + 32*B^2*a^2*c^7*d^3*e*f^3 - 8*B^2*a^3*c^6*d*e^3*f^3 + 48*B^2*a^3*c^6*d^2*e*f^4 - B^2*b^2*c^7*d^3*e^3*f + 3*B^2*b^2*c^7*d^4*e*f^2 + B^2*b^3*c^6*d^2*e^4*f + 8*B^2*b^4*c^5*d^3*e*f^3 - 3*B^2*b^6*c^3*d^2*e*f^4 - A*B*a^2*b^6*c*f^7 - 32*A*B*a*c^8*d^4*f^3 - 32*A*B*a^4*c^5*d*f^6 - 8*A*B*a^2*c^7*e^6*f + 4*A^2*a*b*c^7*e^6*f - B^2*a*b^7*c*d*f^6 - 8*A^2*a*c^8*d*e^5*f - 65*A^2*a^2*b^2*c^5*e^3*f^4 + 88*A^2*a^2*b^3*c^4*e^2*f^5 + 8*B^2*a^2*b^3*c^4*d^2*f^5 + 2*B^2*a^3*b^2*c^4*e^3*f^4 - 3*B^2*a^3*b^3*c^3*e^2*f^5 - 13*A^2*b^2*c^7*d^2*e^3*f^2 + 16*A^2*b^3*c^6*d^2*e^2*f^3 - 28*B^2*a^2*c^7*d^2*e^3*f^2 + B^2*b^3*c^6*d^3*e^2*f^2 - 5*B^2*b^4*c^5*d^2*e^3*f^2 + 7*B^2*b^5*c^4*d^2*e^2*f^3 + 12*A*B*a^3*b^4*c^2*f^7 - 48*A*B*a^4*b^2*c^3*f^7 + 160*A*B*a^2*c^7*d^3*f^4 - 160*A*B*a^3*c^6*d^2*f^5 - 16*A*B*a^3*c^6*e^4*f^3 + 48*A*B*a^4*c^5*e^2*f^5 + 24*A*B*b^2*c^7*d^4*f^3 + 24*A*B*b^4*c^5*d^3*f^4 - A*B*b^6*c^3*d^2*f^5 + 20*B^2*a*b^2*c^6*d^2*e^3*f^2 - 49*B^2*a*b^3*c^5*d^2*e^2*f^3 + 96*B^2*a^2*b*c^6*d^2*e^2*f^3 + 19*B^2*a^2*b^2*c^5*d*e^3*f^3 - 102*B^2*a^2*b^2*c^5*d^2*e*f^4 + 3*B^2*a^2*b^3*c^4*d*e^2*f^4 - 120*A*B*a*b^2*c^6*d^3*f^4 + 4*A*B*a*b^4*c^4*d^2*f^5 + 24*A*B*a^2*b^4*c^3*d*f^6 - 8*A*B*a^3*b^2*c^4*d*f^6 - 7*A*B*a*b^3*c^5*e^5*f^2 + 8*A*B*a*b^4*c^4*e^4*f^3 - 2*A*B*a*b^5*c^3*e^3*f^4 - 2*A*B*a*b^6*c^2*e^2*f^5 + 28*A*B*a^2*b*c^6*e^5*f^2 - 11*A*B*a^2*b^5*c^2*e*f^6 + 72*A*B*a^3*b*c^5*e^3*f^4 + 34*A*B*a^3*b^3*c^3*e*f^6 + 16*A*B*a*c^8*d^3*e^2*f^2 + 80*A*B*a^2*c^7*d*e^4*f^2 + 16*A*B*a^3*c^6*d*e^2*f^4 - 4*A*B*b^2*c^7*d^2*e^4*f - 22*A*B*b^3*c^6*d^3*e*f^3 + 3*A*B*b^4*c^5*d*e^4*f^2 - 6*A*B*b^5*c^4*d*e^3*f^3 + 15*A*B*b^5*c^4*d^2*e*f^4 + 4*A*B*b^6*c^3*d*e^2*f^4 + 12*A^2*a*b*c^7*d*e^4*f^2 - 28*A^2*a*b^4*c^4*d*e*f^5 - 2*B^2*a*b^2*c^6*d*e^5*f + 2*B^2*a*b^6*c^2*d*e*f^5 + A*B*a*b^7*c*e*f^6 + 24*A*B*a^2*b^2*c^5*d^2*f^5 - 28*A*B*a^2*b^2*c^5*e^4*f^3 - 9*A*B*a^2*b^3*c^4*e^3*f^4 + 29*A*B*a^2*b^4*c^3*e^2*f^5 - 100*A*B*a^3*b^2*c^4*e^2*f^5 - 208*A*B*a^2*c^7*d^2*e^2*f^3 + 13*A*B*b^3*c^6*d^2*e^3*f^2 - 23*A*B*b^4*c^5*d^2*e^2*f^3 - 52*A^2*a*b*c^7*d^2*e^2*f^3 - 34*A^2*a*b^2*c^6*d*e^3*f^3 + 48*A^2*a*b^2*c^6*d^2*e*f^4 + 40*A^2*a*b^3*c^5*d*e^2*f^4 - 108*A^2*a^2*b*c^6*d*e^2*f^4 + 36*A^2*a^2*b^2*c^5*d*e*f^5 - 8*B^2*a*b*c^7*d^3*e^2*f^2 - 24*B^2*a*b^2*c^6*d^3*e*f^3 + 7*B^2*a*b^3*c^5*d*e^4*f^2 - 8*B^2*a*b^4*c^4*d*e^3*f^3 + 32*B^2*a*b^4*c^4*d^2*e*f^4 + 2*B^2*a*b^5*c^3*d*e^2*f^4 - 16*B^2*a^2*b*c^6*d*e^4*f^2 - 20*B^2*a^2*b^4*c^3*d*e*f^5 + 8*B^2*a^3*b*c^5*d*e^2*f^4 + 40*B^2*a^3*b^2*c^4*d*e*f^5 - 10*A*B*a*b^6*c^2*d*f^6 + 2*A*B*a*b^2*c^6*e^6*f - 20*A*B*a^4*b*c^4*e*f^6 + 4*A*B*b*c^8*d^3*e^3*f - 12*A*B*b*c^8*d^4*e*f^2 - 2*A*B*b^7*c^2*d*e*f^5 + 132*A*B*a*b^2*c^6*d^2*e^2*f^3 + 96*A*B*a^2*b^2*c^5*d*e^2*f^4 + 24*A*B*a*b*c^7*d^3*e*f^3 + 20*A*B*a*b^5*c^3*d*e*f^5 - 24*A*B*a^3*b*c^5*d*e*f^5 - 24*A*B*a*b*c^7*d^2*e^3*f^2 - 44*A*B*a*b^2*c^6*d*e^4*f^2 + 84*A*B*a*b^3*c^5*d*e^3*f^3 - 122*A*B*a*b^3*c^5*d^2*e*f^4 - 54*A*B*a*b^4*c^4*d*e^2*f^4 - 180*A*B*a^2*b*c^6*d*e^3*f^3 + 288*A*B*a^2*b*c^6*d^2*e*f^4 - 18*A*B*a^2*b^3*c^4*d*e*f^5 + 4*A*B*a*b*c^7*d*e^5*f)/(16*a^2*c^6*d^4 + a^4*b^4*f^4 + 16*a^4*c^4*e^4 + b^4*c^4*d^4 + 16*a^6*c^2*f^4 + b^8*d^2*f^2 - 8*a*b^2*c^5*d^4 - 8*a^5*b^2*c*f^4 + 2*a^2*b^6*d*f^3 - 2*a^3*b^5*e*f^3 - 64*a^3*c^5*d^3*f - 64*a^5*c^3*d*f^3 - 2*b^5*c^3*d^3*e + 2*b^6*c^2*d^3*f + a^2*b^4*c^2*e^4 - 8*a^3*b^2*c^3*e^4 + 32*a^3*c^5*d^2*e^2 + a^2*b^6*e^2*f^2 + 96*a^4*c^4*d^2*f^2 + b^6*c^2*d^2*e^2 + 32*a^5*c^3*e^2*f^2 - 2*a*b^7*d*e*f^2 - 2*b^7*c*d^2*e*f + 54*a^2*b^4*c^2*d^2*f^2 - 112*a^3*b^2*c^3*d^2*f^2 + 16*a*b^3*c^4*d^3*e - 2*a*b^5*c^2*d*e^3 - 32*a^2*b*c^5*d^3*e - 32*a^3*b*c^4*d*e^3 - 20*a*b^4*c^3*d^3*f - 12*a*b^6*c*d^2*f^2 - 20*a^3*b^4*c*d*f^3 - 2*a^2*b^5*c*e^3*f - 32*a^4*b*c^3*e^3*f + 16*a^4*b^3*c*e*f^3 - 32*a^5*b*c^2*e*f^3 - 64*a^4*c^4*d*e^2*f - 6*a*b^4*c^3*d^2*e^2 + 16*a^2*b^3*c^3*d*e^3 + 64*a^2*b^2*c^4*d^3*f + 64*a^4*b^2*c^2*d*f^3 + 16*a^3*b^3*c^2*e^3*f - 6*a^3*b^4*c*e^2*f^2 - 48*a^2*b^3*c^3*d^2*e*f - 36*a^2*b^4*c^2*d*e^2*f + 96*a^3*b^2*c^3*d*e^2*f - 48*a^3*b^3*c^2*d*e*f^2 + 4*a*b^6*c*d*e^2*f + 18*a*b^5*c^2*d^2*e*f + 18*a^2*b^5*c*d*e*f^2 + 32*a^3*b*c^4*d^2*e*f + 32*a^4*b*c^3*d*e*f^2) + (x*(104*A^2*a^4*c^5*f^7 - 32*B^2*a^5*c^4*f^7 + 8*A^2*c^9*d^4*f^3 + A^2*b^8*c*f^7 + 50*A^2*a^2*b^4*c^3*f^7 - 96*A^2*a^3*b^2*c^4*f^7 - 12*B^2*a^3*b^4*c^2*f^7 + 42*B^2*a^4*b^2*c^3*f^7 + 208*A^2*a^2*c^7*d^2*f^5 + 36*A^2*a^2*c^7*e^4*f^3 + 72*A^2*a^3*c^6*e^2*f^5 + 8*A^2*b^2*c^7*d^3*f^4 + 18*A^2*b^4*c^5*d^2*f^5 - 32*B^2*a^2*c^7*d^3*f^4 + 32*B^2*a^3*c^6*d^2*f^5 - 2*A^2*b^3*c^6*e^5*f^2 + A^2*b^4*c^5*e^4*f^3 + A^2*b^6*c^3*e^2*f^5 + 24*B^2*a^3*c^6*e^4*f^3 + 56*B^2*a^4*c^5*e^2*f^5 + 2*B^2*b^2*c^7*d^4*f^3 - 6*B^2*b^4*c^5*d^3*f^4 + 9*B^2*b^6*c^3*d^2*f^5 - 16*A^2*c^9*d^3*e^2*f^2 - 12*A^2*a*b^6*c^2*f^7 + B^2*a^2*b^6*c*f^7 - 64*A^2*a*c^8*d^3*f^4 - 256*A^2*a^3*c^6*d*f^6 + 2*A^2*b^6*c^3*d*f^6 + 32*B^2*a^4*c^5*d*f^6 + A^2*b^2*c^7*e^6*f - 2*A^2*b^7*c^2*e*f^6 + 4*B^2*a^2*c^7*e^6*f + 4*A^2*c^9*d^2*e^4*f - 36*A^2*a*b^4*c^4*d*f^6 - 4*A^2*a*b*c^7*e^5*f^2 + 22*A^2*a*b^5*c^3*e*f^6 - 16*A^2*a^3*b*c^5*e*f^6 - 2*B^2*a*b^6*c^2*d*f^6 - 40*B^2*a^4*b*c^4*e*f^6 + 8*A^2*a*c^8*d*e^4*f^2 + 16*A^2*b*c^8*d^3*e*f^3 + 6*A^2*b^5*c^4*d*e*f^5 - 2*A*B*a*b^7*c*f^7 - 144*A^2*a*b^2*c^6*d^2*f^5 + 168*A^2*a^2*b^2*c^5*d*f^6 + 2*A^2*a*b^2*c^6*e^4*f^3 + 10*A^2*a*b^3*c^5*e^3*f^4 - 18*A^2*a*b^4*c^4*e^2*f^5 - 80*A^2*a^2*b*c^6*e^3*f^4 - 56*A^2*a^2*b^3*c^4*e*f^6 + 24*B^2*a*b^2*c^6*d^3*f^4 - 64*B^2*a*b^4*c^4*d^2*f^5 + 26*B^2*a^2*b^4*c^3*d*f^6 - 88*B^2*a^3*b^2*c^4*d*f^6 - 12*B^2*a^2*b*c^6*e^5*f^2 - 40*B^2*a^3*b*c^5*e^3*f^4 + 6*B^2*a^3*b^3*c^3*e*f^6 + 8*A^2*a*c^8*d^2*e^2*f^3 - 128*A^2*a^2*c^7*d*e^2*f^4 + 8*A^2*b*c^8*d^2*e^3*f^2 + 4*A^2*b^2*c^7*d*e^4*f^2 + 10*A^2*b^3*c^6*d*e^3*f^3 - 18*A^2*b^4*c^5*d*e^2*f^4 - 32*B^2*a^2*c^7*d*e^4*f^2 - 80*B^2*a^3*c^6*d*e^2*f^4 + B^2*b^2*c^7*d^2*e^4*f + 10*B^2*b^3*c^6*d^3*e*f^3 - 12*B^2*b^5*c^4*d^2*e*f^4 + 72*A*B*a^4*b*c^4*f^7 - 8*A*B*b*c^8*d^4*f^3 - 176*A*B*a^4*c^5*e*f^6 + 2*A*B*b^7*c^2*d*f^6 - 4*A^2*b*c^8*d*e^5*f + 54*A^2*a^2*b^2*c^5*e^2*f^5 + 84*B^2*a^2*b^2*c^5*d^2*f^5 + 9*B^2*a^2*b^2*c^5*e^4*f^3 + 2*B^2*a^3*b^2*c^4*e^2*f^5 - 26*A^2*b^2*c^7*d^2*e^2*f^3 + 88*B^2*a^2*c^7*d^2*e^2*f^3 - 4*B^2*b^2*c^7*d^3*e^2*f^2 - 4*B^2*b^3*c^6*d^2*e^3*f^2 + 8*B^2*b^4*c^5*d^2*e^2*f^3 + 24*A*B*a^2*b^5*c^2*f^7 - 84*A*B*a^3*b^3*c^3*f^7 + 8*A*B*a^2*c^7*e^5*f^2 - 32*A*B*a^3*c^6*e^3*f^4 + 4*A*B*b^3*c^6*d^3*f^4 - 20*A*B*b^5*c^4*d^2*f^5 - 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196*A^2*a*b^6*c^3*d^3*f^5*z^2 + 8*B^2*a*b^4*c^5*d^2*e^6*z^2 + 6*B^2*a*b^2*c^7*d^4*e^4*z^2 + 2*B^2*a^2*b^3*c^5*d*e^7*z^2 + 2*B^2*a*b^3*c^6*d^3*e^5*z^2 - 18*A^2*a*b^2*c^7*d^2*e^6*z^2 - 16*A*B*b*c^9*d^7*f*z^2 - B^2*b^10*d^2*e^2*f^4*z^2 + 48*B^2*a^7*c^3*e^2*f^6*z^2 - 36*B^2*a^6*c^4*e^4*f^4*z^2 + 31*B^2*b^6*c^4*d^5*f^3*z^2 - 24*B^2*a^5*c^5*e^6*f^2*z^2 + 20*B^2*b^4*c^6*d^6*f^2*z^2 - 6*A^2*b^8*c^2*e^6*f^2*z^2 + 2*B^2*b^8*c^2*d^4*f^4*z^2 - 768*B^2*a^5*c^5*d^3*f^5*z^2 + 512*B^2*a^6*c^4*d^2*f^6*z^2 + 512*B^2*a^4*c^6*d^4*f^4*z^2 + 232*A^2*a^5*c^5*e^4*f^4*z^2 + 188*A^2*a^4*c^6*e^6*f^2*z^2 - 128*B^2*a^3*c^7*d^5*f^3*z^2 + 92*A^2*a^6*c^4*e^2*f^6*z^2 + 80*A^2*b^4*c^6*d^5*f^3*z^2 + 64*A^2*b^2*c^8*d^6*f^2*z^2 + 31*A^2*b^6*c^4*d^4*f^4*z^2 + 14*A^2*b^8*c^2*d^3*f^5*z^2 - 5*B^2*b^4*c^6*d^4*e^4*z^2 + 4*B^2*b^3*c^7*d^5*e^3*z^2 + 2*B^2*b^5*c^5*d^3*e^5*z^2 - B^2*b^6*c^4*d^2*e^6*z^2 - B^2*b^2*c^8*d^6*e^2*z^2 - B^2*a^4*b^6*e^2*f^6*z^2 - 1152*A^2*a^3*c^7*d^4*f^4*z^2 + 1008*A^2*a^4*c^6*d^3*f^5*z^2 + 624*A^2*a^2*c^8*d^5*f^3*z^2 - 288*A^2*a^5*c^5*d^2*f^6*z^2 + 56*B^2*a^3*c^7*d^2*e^6*z^2 - 10*B^2*a^2*b^8*d^2*f^6*z^2 - 9*A^2*b^2*c^8*d^4*e^4*z^2 - 5*A^2*a^2*b^8*e^2*f^6*z^2 - 4*B^2*a^2*c^8*d^4*e^4*z^2 + 3*A^2*b^4*c^6*d^2*e^6*z^2 - 2*A^2*b^3*c^7*d^3*e^5*z^2 - 36*A^2*a^2*c^8*d^2*e^6*z^2 - 48*A^2*a^6*b^2*c^2*f^8*z^2 - 45*A^2*a^2*b^2*c^6*e^8*z^2 + 4*A^2*b^10*d*e^2*f^5*z^2 + 4*B^2*b^2*c^8*d^7*f*z^2 + 4*A^2*b^9*c*e^5*f^3*z^2 + 4*A^2*b^7*c^3*e^7*f*z^2 - 128*B^2*a^7*c^3*d*f^7*z^2 - 160*A^2*a*c^9*d^6*f^2*z^2 - 112*A^2*a^6*c^4*d*f^7*z^2 + 12*A^2*b*c^9*d^5*e^3*z^2 + 4*A^2*a*b^9*e^3*f^5*z^2 + 3*B^2*a^4*b^6*d*f^7*z^2 + 2*A^2*a^3*b^7*e*f^7*z^2 - 24*A^2*a*c^9*d^4*e^4*z^2 + 14*A^2*a^2*b^8*d*f^7*z^2 + 12*A^2*a^5*b^4*c*f^8*z^2 + 12*A^2*a*b^4*c^5*e^8*z^2 + A*B*a^4*b^6*e*f^7*z^2 + B^2*a^2*b^8*d*e^2*f^5*z^2 + 16*A^2*c^10*d^7*f*z^2 + 3*B^2*b^10*d^3*f^5*z^2 - A^2*b^10*e^4*f^4*z^2 - 4*A^2*c^10*d^6*e^2*z^2 - A^2*b^10*d^2*f^6*z^2 + 64*A^2*a^7*c^3*f^8*z^2 - 4*B^2*a^4*c^6*e^8*z^2 - A^2*b^6*c^4*e^8*z^2 + 48*A^2*a^3*c^7*e^8*z^2 - A^2*a^4*b^6*f^8*z^2 + 720*A^2*B*a*b^2*c^5*d^2*e^2*f^3*z - 600*A^2*B*a^2*b^2*c^4*d*e^2*f^4*z + 576*A*B^2*a^2*b^2*c^4*d^2*e*f^4*z + 348*A*B^2*a*b^2*c^5*d^2*e^3*f^2*z - 336*A*B^2*a^2*b*c^5*d^2*e^2*f^3*z - 260*A*B^2*a*b^3*c^4*d^2*e^2*f^3*z - 240*A*B^2*a^2*b^2*c^4*d*e^3*f^3*z + 196*A*B^2*a^2*b^3*c^3*d*e^2*f^4*z + 172*A^2*B*a*b*c^6*d*e^5*f*z + 20*A*B^2*a*b^6*c*d*e*f^5*z - 912*A^2*B*a^2*b*c^5*d^2*e*f^4*z - 644*A^2*B*a*b*c^6*d^2*e^3*f^2*z - 432*A*B^2*a*b^2*c^5*d^3*e*f^3*z + 372*A^2*B*a^2*b*c^5*d*e^3*f^3*z - 330*A^2*B*a*b^2*c^5*d*e^4*f^2*z + 312*A*B^2*a*b*c^6*d^3*e^2*f^2*z - 208*A*B^2*a^3*b^2*c^3*d*e*f^5*z + 192*A^2*B*a^2*b^3*c^3*d*e*f^5*z + 172*A^2*B*a*b^3*c^4*d*e^3*f^3*z + 108*A*B^2*a^2*b*c^5*d*e^4*f^2*z + 104*A*B^2*a^3*b*c^4*d*e^2*f^4*z - 80*A^2*B*a*b^3*c^4*d^2*e*f^4*z + 68*A^2*B*a*b^4*c^3*d*e^2*f^4*z - 60*A*B^2*a*b^5*c^2*d*e^2*f^4*z + 58*A*B^2*a*b^3*c^4*d*e^4*f^2*z - 36*A*B^2*a*b^4*c^3*d^2*e*f^4*z - 24*A*B^2*a^2*b^4*c^2*d*e*f^5*z + 24*A*B^2*a*b^4*c^3*d*e^3*f^3*z + 592*A^2*B*a*b*c^6*d^3*e*f^3*z + 240*A^2*B*a^3*b*c^4*d*e*f^5*z - 132*A*B^2*a*b*c^6*d^2*e^4*f*z - 60*A*B^2*a*b^2*c^5*d*e^5*f*z - 48*A^2*B*a*b^5*c^2*d*e*f^5*z + 20*B^3*a*b*c^6*d^3*e^3*f*z + 16*B^3*a^4*b*c^3*d*e*f^5*z - 16*B^3*a*b*c^6*d^4*e*f^2*z + 12*B^3*a^2*b*c^5*d*e^5*f*z + 320*A^3*a*b*c^6*d*e^4*f^2*z + 40*A^3*a*b^4*c^3*d*e*f^5*z - 48*A^2*B*b*c^7*d^4*e*f^2*z - 44*A^2*B*b^3*c^5*d*e^5*f*z - 20*A*B^2*b*c^7*d^4*e^2*f*z + 14*A*B^2*b^4*c^4*d*e^5*f*z + 12*A^2*B*b*c^7*d^3*e^3*f*z + 4*A*B^2*b^7*c*d*e^2*f^4*z + 160*A*B^2*a^4*c^4*d*e*f^5*z + 152*A^2*B*a*c^7*d^2*e^4*f*z - 40*A*B^2*a*c^7*d^3*e^3*f*z + 32*A*B^2*a*c^7*d^4*e*f^2*z - 16*A*B^2*a^2*c^6*d*e^5*f*z + 128*A^2*B*a^4*b*c^3*e*f^6*z + 42*A^2*B*a*b^2*c^5*e^6*f*z + 24*A^2*B*a^2*b^5*c*e*f^6*z - 12*A*B^2*a^3*b^4*c*e*f^6*z - 12*A*B^2*a^2*b*c^5*e^6*f*z - 10*A^2*B*a*b^6*c*e^2*f^5*z - 160*A*B^2*a*b*c^6*d^4*f^3*z + 112*A*B^2*a^4*b*c^3*d*f^6*z - 24*A*B^2*a^2*b^5*c*d*f^6*z - 84*B^3*a*b^2*c^5*d^3*e^2*f^2*z - 80*B^3*a^2*b^3*c^3*d^2*e*f^4*z - 60*B^3*a^2*b*c^5*d^2*e^3*f^2*z - 20*B^3*a^3*b^2*c^3*d*e^2*f^4*z - 20*B^3*a*b^3*c^4*d^2*e^3*f^2*z - 9*B^3*a^2*b^2*c^4*d*e^4*f^2*z - 8*B^3*a*b^4*c^3*d^2*e^2*f^3*z + 6*B^3*a^2*b^4*c^2*d*e^2*f^4*z - 4*B^3*a^2*b^3*c^3*d*e^3*f^3*z - 216*A^2*B*b^4*c^4*d^2*e^2*f^3*z + 196*A^2*B*b^3*c^5*d^2*e^3*f^2*z - 108*A*B^2*b^3*c^5*d^3*e^2*f^2*z - 94*A*B^2*b^4*c^4*d^2*e^3*f^2*z + 88*A^2*B*b^2*c^6*d^3*e^2*f^2*z + 80*A*B^2*b^5*c^3*d^2*e^2*f^3*z + 360*A^2*B*a^2*c^6*d^2*e^2*f^3*z + 8*A*B^2*a^2*c^6*d^2*e^3*f^2*z + 153*A^2*B*a^2*b^2*c^4*e^4*f^3*z - 144*A^2*B*a^2*b^3*c^3*e^3*f^4*z + 80*A^2*B*a^3*b^2*c^3*e^2*f^5*z + 36*A*B^2*a^3*b^2*c^3*e^3*f^4*z + 12*A^2*B*a^2*b^4*c^2*e^2*f^5*z + 12*A*B^2*a^3*b^3*c^2*e^2*f^5*z + 9*A*B^2*a^2*b^2*c^4*e^5*f^2*z - 6*A*B^2*a^2*b^4*c^2*e^3*f^4*z + 4*A*B^2*a^2*b^3*c^3*e^4*f^3*z + 480*A^2*B*a^2*b^2*c^4*d^2*f^5*z - 176*A*B^2*a^2*b^3*c^3*d^2*f^5*z - 10*A^2*B*a*b^6*c*d*f^6*z + 16*A*B^2*a*b*c^6*d*e^6*z + 80*B^3*a*b^3*c^4*d^3*e*f^3*z - 48*B^3*a^3*b*c^4*d^2*e*f^4*z + 48*B^3*a^2*b*c^5*d^3*e*f^3*z + 44*B^3*a^3*b*c^4*d*e^3*f^3*z + 24*B^3*a*b^5*c^2*d^2*e*f^4*z + 18*B^3*a*b^2*c^5*d^2*e^4*f*z + 696*A^3*a^2*b*c^5*d*e^2*f^4*z - 504*A^3*a*b*c^6*d^2*e^2*f^3*z - 192*A^3*a*b^2*c^5*d*e^3*f^3*z - 144*A^3*a^2*b^2*c^4*d*e*f^5*z + 96*A^3*a*b^2*c^5*d^2*e*f^4*z - 72*A^3*a*b^3*c^4*d*e^2*f^4*z - 208*A^2*B*b^3*c^5*d^3*e*f^3*z + 152*A*B^2*b^4*c^4*d^3*e*f^3*z + 80*A^2*B*b^5*c^3*d^2*e*f^4*z + 75*A^2*B*b^4*c^4*d*e^4*f^2*z - 59*A^2*B*b^2*c^6*d^2*e^4*f*z - 52*A^2*B*b^5*c^3*d*e^3*f^3*z + 42*A*B^2*b^3*c^5*d^2*e^4*f*z - 21*A*B^2*b^6*c^2*d^2*e*f^4*z - 16*A*B^2*b^5*c^3*d*e^4*f^2*z + 16*A*B^2*b^2*c^6*d^4*e*f^2*z + 16*A*B^2*b^2*c^6*d^3*e^3*f*z + 11*A^2*B*b^6*c^2*d*e^2*f^4*z + 4*A*B^2*b^6*c^2*d*e^3*f^3*z - 256*A^2*B*a*c^7*d^3*e^2*f^2*z - 96*A*B^2*a^3*c^5*d^2*e*f^4*z - 36*A^2*B*a^2*c^6*d*e^4*f^2*z - 32*A^2*B*a^3*c^5*d*e^2*f^4*z - 32*A*B^2*a^2*c^6*d^3*e*f^3*z + 8*A*B^2*a^3*c^5*d*e^3*f^3*z - 96*A^2*B*a^3*b^3*c^2*e*f^6*z + 68*A^2*B*a^3*b*c^4*e^3*f^4*z - 60*A*B^2*a^4*b*c^3*e^2*f^5*z - 60*A*B^2*a^3*b*c^4*e^4*f^3*z + 48*A*B^2*a^4*b^2*c^2*e*f^6*z - 38*A^2*B*a*b^3*c^4*e^5*f^2*z - 36*A^2*B*a^2*b*c^5*e^5*f^2*z + 36*A^2*B*a*b^5*c^2*e^3*f^4*z - 16*A^2*B*a*b^4*c^3*e^4*f^3*z + 384*A*B^2*a^2*b*c^5*d^3*f^4*z - 352*A*B^2*a^3*b*c^4*d^2*f^5*z - 288*A^2*B*a*b^2*c^5*d^3*f^4*z - 160*A^2*B*a^3*b^2*c^3*d*f^6*z - 148*A^2*B*a*b^4*c^3*d^2*f^5*z + 112*A*B^2*a*b^3*c^4*d^3*f^4*z + 72*A^2*B*a^2*b^4*c^2*d*f^6*z + 72*A*B^2*a*b^5*c^2*d^2*f^5*z + 48*A*B^2*a^3*b^3*c^2*d*f^6*z + 102*B^3*a^2*b^2*c^4*d^2*e^2*f^3*z - 32*B^3*b^5*c^3*d^3*e*f^3*z - 8*B^3*b^3*c^5*d^3*e^3*f*z - 7*B^3*b^4*c^4*d^2*e^4*f*z + 5*B^3*b^2*c^6*d^4*e^2*f*z + 80*A^3*b^2*c^6*d^3*e*f^3*z - 74*A^3*b^3*c^5*d*e^4*f^2*z - 64*A^3*b^4*c^4*d^2*e*f^4*z + 60*A^3*b^4*c^4*d*e^3*f^3*z - 48*B^3*a^4*c^4*d*e^2*f^4*z - 24*B^3*a^3*c^5*d*e^4*f^2*z + 20*B^3*a^2*c^6*d^2*e^4*f*z - 16*A^3*b^5*c^3*d*e^2*f^4*z + 8*A^3*b*c^7*d^3*e^2*f^2*z + 480*A^3*a^2*c^6*d^2*e*f^4*z - 392*A^3*a^2*c^6*d*e^3*f^3*z + 280*A^3*a*c^7*d^2*e^3*f^2*z - 4*B^3*a^4*b*c^3*e^3*f^4*z - 200*A^3*a^3*b*c^4*e^2*f^5*z - 144*A^3*a^2*b*c^5*e^4*f^3*z + 48*B^3*a*b^2*c^5*d^4*f^3*z + 42*A^3*a*b^2*c^5*e^5*f^2*z - 36*B^3*a^4*b^2*c^2*d*f^6*z - 32*A^3*a^3*b^2*c^3*e*f^6*z - 24*A^3*a^2*b^4*c^2*e*f^6*z - 24*A^3*a*b^5*c^2*e^2*f^5*z + 10*A^3*a*b^3*c^4*e^4*f^3*z - 4*B^3*a*b^4*c^3*d^3*f^4*z - 4*A^3*a*b^4*c^3*e^3*f^4*z - 480*A^3*a^2*b*c^5*d^2*f^5*z - 160*A^3*a^2*b^3*c^3*d*f^6*z + 128*A^3*a*b^3*c^4*d^2*f^5*z + 8*A^2*B*b^5*c^3*e^5*f^2*z - 2*A^2*B*b^6*c^2*e^4*f^3*z + 112*A^2*B*b^4*c^4*d^3*f^4*z - 92*A^2*B*a^4*c^4*e^2*f^5*z - 64*A^2*B*a^3*c^5*e^4*f^3*z - 64*A*B^2*b^5*c^3*d^3*f^4*z + 24*A*B^2*a^4*c^4*e^3*f^4*z + 24*A*B^2*a^3*c^5*e^5*f^2*z + 16*A^2*B*b^2*c^6*d^4*f^3*z + 16*A*B^2*b^3*c^5*d^4*f^3*z - A^2*B*b^6*c^2*d^2*f^5*z + 448*A^2*B*a^3*c^5*d^2*f^5*z - 352*A^2*B*a^2*c^6*d^3*f^4*z - 5*A*B^2*b^2*c^6*d^2*e^5*z - 48*A^2*B*a^4*b^2*c^2*f^7*z - 2*B^3*b^7*c*d^2*e*f^4*z + 34*A^3*b^2*c^6*d*e^5*f*z + 16*A^3*b*c^7*d^2*e^4*f*z + 2*A^3*b^6*c^2*d*e*f^5*z - 416*A^3*a^3*c^5*d*e*f^5*z - 224*A^3*a*c^7*d^3*e*f^3*z + 12*B^3*a^3*b^4*c*d*f^6*z - 10*B^3*a*b^6*c*d^2*f^5*z + 416*A^3*a^3*b*c^4*d*f^6*z + 224*A^3*a*b*c^6*d^3*f^4*z + 24*A^3*a*b^5*c^2*d*f^6*z - 4*B^3*a*b*c^6*d^2*e^5*z + 20*A^2*B*c^8*d^4*e^2*f*z - 7*A^2*B*b^4*c^4*e^6*f*z - 2*A^2*B*b^7*c*e^3*f^4*z - 64*A*B^2*a^5*c^3*e*f^6*z + 16*A*B^2*b*c^7*d^5*f^2*z - 8*A^2*B*a^2*c^6*e^6*f*z - 2*A*B^2*b^7*c*d^2*f^5*z - 272*A^2*B*a^4*c^4*d*f^6*z + 128*A^2*B*a*c^7*d^4*f^3*z + 9*A^2*B*b^2*c^6*d*e^6*z - 4*A*B^2*b^3*c^5*d*e^6*z + 4*A*B^2*b*c^7*d^3*e^4*z + 8*A*B^2*a*c^7*d^2*e^5*z + 12*A^2*B*a^3*b^4*c*f^7*z + 30*B^3*b^4*c^4*d^3*e^2*f^2*z + 8*B^3*b^5*c^3*d^2*e^3*f^2*z - 2*B^3*b^6*c^2*d^2*e^2*f^3*z + 152*A^3*b^3*c^5*d^2*e^2*f^3*z - 108*A^3*b^2*c^6*d^2*e^3*f^2*z + 48*B^3*a^3*c^5*d^2*e^2*f^3*z - 16*B^3*a^2*c^6*d^3*e^2*f^2*z - 3*B^3*a^4*b^2*c^2*e^2*f^5*z - 120*B^3*a^2*b^2*c^4*d^3*f^4*z + 112*B^3*a^3*b^2*c^3*d^2*f^5*z + 112*A^3*a^2*b^3*c^3*e^2*f^5*z + 12*A^3*a^2*b^2*c^4*e^3*f^4*z - 120*A^3*a*c^7*d*e^5*f*z - 52*A^3*a*b*c^6*e^6*f*z + 10*A^3*a*b^6*c*e*f^6*z - 2*A*B^2*b^8*d*e*f^5*z - 2*A^2*B*a*b^7*e*f^6*z - 24*A^2*B*a*c^7*d*e^6*z + 2*A*B^2*a*b^7*d*f^6*z - 12*A^2*B*a*b*c^6*e^7*z - 2*A^3*b^7*c*d*f^6*z - 4*A^3*b*c^7*d*e^6*z + 16*B^3*a^5*c^3*e^2*f^5*z + 11*B^3*b^6*c^2*d^3*f^4*z - 11*A^3*b^4*c^4*e^5*f^2*z - 8*B^3*b^4*c^4*d^4*f^3*z - 4*B^3*b^2*c^6*d^5*f^2*z + 4*B^3*a^4*c^4*e^4*f^3*z + 4*A^3*b^5*c^3*e^4*f^3*z - A^3*b^6*c^2*e^3*f^4*z + 136*A^3*a^3*c^5*e^3*f^4*z + 68*A^3*a^2*c^6*e^5*f^2*z - 64*A^3*b^3*c^5*d^3*f^4*z + 2*B^3*b^3*c^5*d^2*e^5*z - B^3*b^2*c^6*d^3*e^4*z + 96*A^3*a^3*b^3*c^2*f^7*z + A*B^2*a^2*b^6*e*f^6*z + 32*A^3*c^8*d^4*e*f^2*z - 24*A^3*c^8*d^3*e^3*f*z + 10*A^3*b^3*c^5*e^6*f*z + 2*A^3*b^7*c*e^2*f^5*z + 128*A^3*a^4*c^4*e*f^6*z - 32*A^3*b*c^7*d^4*f^3*z - 4*B^3*a^2*c^6*d*e^6*z - B^3*a^2*b^6*d*f^6*z - 128*A^3*a^4*b*c^3*f^7*z - 24*A^3*a^2*b^5*c*f^7*z - 16*A^2*B*c^8*d^5*f^2*z - 4*A^2*B*c^8*d^3*e^4*z + 64*A^2*B*a^5*c^3*f^7*z + 2*A^2*B*b^3*c^5*e^7*z + 4*A*B^2*a^2*c^6*e^7*z - A^2*B*a^2*b^6*f^7*z + 4*A^3*c^8*d^2*e^5*z - 3*A^3*b^2*c^6*e^7*z + A^2*B*b^8*d*f^6*z - A^3*b^8*e*f^6*z + 16*A^3*a*c^7*e^7*z + 2*A^3*a*b^7*f^7*z + A^2*B*b^8*e^2*f^5*z + B^3*b^8*d^2*f^5*z - 48*A^2*B^2*a*b*c^4*d*e*f^4 + 28*A*B^3*a*b^2*c^3*d*e*f^4 - 16*A*B^3*a*b*c^4*d*e^2*f^3 + 16*A^3*B*a*c^5*d*e*f^4 + 32*A^3*B*a*b*c^4*d*f^5 + 12*A^2*B^2*b^3*c^3*d*e*f^4 + 5*A*B^3*b^2*c^4*d^2*e*f^3 + 4*A*B^3*b^3*c^3*d*e^2*f^3 + 24*A^2*B^2*a*c^5*d*e^2*f^3 + 24*A^2*B^2*a^2*b*c^3*e*f^5 + 12*A^2*B^2*a*b*c^4*e^3*f^3 - 6*A^2*B^2*a*b^3*c^2*e*f^5 + 4*A*B^3*a^2*b*c^3*e^2*f^4 + 3*A*B^3*a^2*b^2*c^2*e*f^5 - 18*A^2*B^2*a*b^2*c^3*d*f^5 - 4*B^4*a^2*b*c^3*d*e*f^4 + 4*B^4*a*b*c^4*d^2*e*f^3 - 6*A*B^3*b^4*c^2*d*e*f^4 + 4*A^3*B*b*c^5*d*e^2*f^3 - 2*A^3*B*b^2*c^4*d*e*f^4 - 8*A*B^3*a^2*c^4*d*e*f^4 - 8*A*B^3*a*c^5*d^2*e*f^3 + 26*A^3*B*a*b^2*c^3*e*f^5 + 8*A^3*B*a*b*c^4*e^2*f^4 + 32*A*B^3*a*b*c^4*d^2*f^4 - 28*A*B^3*a^2*b*c^3*d*f^5 + 6*A*B^3*a*b^3*c^2*d*f^5 - 9*A^2*B^2*b^2*c^4*d*e^2*f^3 - 18*A^2*B^2*a*b^2*c^3*e^2*f^4 - 4*A^3*B*c^6*d^2*e*f^3 - 3*A^3*B*b^4*c^2*e*f^5 - 44*A^3*B*a^2*c^4*e*f^5 - 16*A^3*B*a*c^5*e^3*f^3 - 16*A*B^3*a^3*c^3*e*f^5 - 10*A^3*B*b^3*c^3*d*f^5 - 4*A^3*B*b*c^5*d^2*f^4 - 4*A*B^3*b*c^5*d^3*f^3 - 28*A^3*B*a^2*b*c^3*f^6 + 6*A^3*B*a*b^3*c^2*f^6 - 4*A^4*b*c^5*d*e*f^4 - 20*A^4*a*b*c^4*e*f^5 + 3*A^2*B^2*b^4*c^2*e^2*f^4 - 2*A^2*B^2*b^3*c^3*e^3*f^3 + 12*A^2*B^2*a^2*c^4*e^2*f^4 + 9*A^2*B^2*b^2*c^4*d^2*f^4 - 3*A^2*B^2*a^2*b^2*c^2*f^6 - 2*B^4*b^3*c^3*d^2*e*f^3 + 4*B^4*a^2*c^4*d*e^2*f^3 - 10*B^4*a*b^2*c^3*d^2*f^4 - 3*B^4*a^2*b^2*c^2*d*f^5 + 3*A^3*B*b^2*c^4*e^3*f^3 - 2*A^3*B*b^3*c^3*e^2*f^4 - 10*A*B^3*b^3*c^3*d^2*f^4 - 4*A*B^3*a^2*c^4*e^3*f^3 + 3*A^2*B^2*b^4*c^2*d*f^5 + 36*A^2*B^2*a^2*c^4*d*f^5 - 24*A^2*B^2*a*c^5*d^2*f^4 + 4*A^2*B^2*c^6*d^3*f^3 + 16*A^2*B^2*a^3*c^3*f^6 + 4*A^4*b^3*c^3*e*f^5 + 16*B^4*a^3*c^3*d*f^5 + 16*A^4*a*c^5*e^2*f^4 + 8*A^4*b^2*c^4*d*f^5 - 8*A^4*a*b^2*c^3*f^6 - 24*A^4*a*c^5*d*f^5 + 3*B^4*b^4*c^2*d^2*f^4 - 3*A^4*b^2*c^4*e^2*f^4 + 4*A^4*c^6*d^2*f^4 + 36*A^4*a^2*c^4*f^6 + B^4*b^2*c^4*d^3*f^3, z, k), k, 1, 4) - ((A*b^3*f + 2*A*a*c^2*e + A*b*c^2*d - 2*B*a*c^2*d - A*b^2*c*e - B*a*b^2*f + 2*B*a^2*c*f - 3*A*a*b*c*f + B*a*b*c*e)/(a^2*b^2*f^2 - 4*a^3*c*f^2 - 4*a*c^3*d^2 - 4*a^2*c^2*e^2 + b^2*c^2*d^2 + b^4*d*f - a*b^3*e*f - b^3*c*d*e + a*b^2*c*e^2 + 8*a^2*c^2*d*f + 4*a*b*c^2*d*e - 6*a*b^2*c*d*f + 4*a^2*b*c*e*f) - (x*(2*A*a*c^2*f - 2*A*c^3*d + A*b*c^2*e - 2*B*a*c^2*e + B*b*c^2*d - A*b^2*c*f + B*a*b*c*f))/(a^2*b^2*f^2 - 4*a^3*c*f^2 - 4*a*c^3*d^2 - 4*a^2*c^2*e^2 + b^2*c^2*d^2 + b^4*d*f - a*b^3*e*f - b^3*c*d*e + a*b^2*c*e^2 + 8*a^2*c^2*d*f + 4*a*b*c^2*d*e - 6*a*b^2*c*d*f + 4*a^2*b*c*e*f))/(a + b*x + c*x^2)","B"
17,1,395,140,0.422229,"\text{Not used}","int((g + h*x)/((a*d + b*d*x + c*d*x^2)^2*(a + b*x + c*x^2)),x)","\frac{6\,c\,\mathrm{atan}\left(\frac{d^2\,\left(\frac{6\,c^2\,x\,\left(b\,h-2\,c\,g\right)}{d^2\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{3\,c\,\left(b\,h-2\,c\,g\right)\,\left(16\,a^2\,b\,c^2\,d^2-8\,a\,b^3\,c\,d^2+b^5\,d^2\right)}{d^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,c^2\,g-3\,b\,c\,h}\right)\,\left(b\,h-2\,c\,g\right)}{d^2\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{8\,c\,h\,a^2+h\,a\,b^2-10\,c\,g\,a\,b+g\,b^3}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(b^2+5\,a\,c\right)\,\left(b\,h-2\,c\,g\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,c^2\,x^3\,\left(b\,h-2\,c\,g\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{9\,b\,c\,x^2\,\left(b\,h-2\,c\,g\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2\,d^2+2\,a\,c\,d^2\right)+a^2\,d^2+c^2\,d^2\,x^4+2\,a\,b\,d^2\,x+2\,b\,c\,d^2\,x^3}","Not used",1,"(6*c*atan((d^2*((6*c^2*x*(b*h - 2*c*g))/(d^2*(4*a*c - b^2)^(5/2)) + (3*c*(b*h - 2*c*g)*(b^5*d^2 + 16*a^2*b*c^2*d^2 - 8*a*b^3*c*d^2))/(d^4*(4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*c^2*g - 3*b*c*h))*(b*h - 2*c*g))/(d^2*(4*a*c - b^2)^(5/2)) - ((b^3*g + a*b^2*h + 8*a^2*c*h - 10*a*b*c*g)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(5*a*c + b^2)*(b*h - 2*c*g))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*c^2*x^3*(b*h - 2*c*g))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (9*b*c*x^2*(b*h - 2*c*g))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(b^2*d^2 + 2*a*c*d^2) + a^2*d^2 + c^2*d^2*x^4 + 2*a*b*d^2*x + 2*b*c*d^2*x^3)","B"
18,1,375,140,4.019773,"\text{Not used}","int((g + h*x)/((a*d + b*d*x + c*d*x^2)*(a + b*x + c*x^2)^2),x)","\frac{6\,c\,\mathrm{atan}\left(\frac{d\,\left(\frac{6\,c^2\,x\,\left(b\,h-2\,c\,g\right)}{d\,{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{3\,c\,\left(b\,h-2\,c\,g\right)\,\left(16\,d\,a^2\,b\,c^2-8\,d\,a\,b^3\,c+d\,b^5\right)}{d^2\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,c^2\,g-3\,b\,c\,h}\right)\,\left(b\,h-2\,c\,g\right)}{d\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{8\,c\,h\,a^2+h\,a\,b^2-10\,c\,g\,a\,b+g\,b^3}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(b^2+5\,a\,c\right)\,\left(b\,h-2\,c\,g\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,c^2\,x^3\,\left(b\,h-2\,c\,g\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{9\,b\,c\,x^2\,\left(b\,h-2\,c\,g\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{a^2\,d+x^2\,\left(d\,b^2+2\,a\,c\,d\right)+c^2\,d\,x^4+2\,b\,c\,d\,x^3+2\,a\,b\,d\,x}","Not used",1,"(6*c*atan((d*((6*c^2*x*(b*h - 2*c*g))/(d*(4*a*c - b^2)^(5/2)) + (3*c*(b*h - 2*c*g)*(b^5*d - 8*a*b^3*c*d + 16*a^2*b*c^2*d))/(d^2*(4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*c^2*g - 3*b*c*h))*(b*h - 2*c*g))/(d*(4*a*c - b^2)^(5/2)) - ((b^3*g + a*b^2*h + 8*a^2*c*h - 10*a*b*c*g)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(5*a*c + b^2)*(b*h - 2*c*g))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*c^2*x^3*(b*h - 2*c*g))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (9*b*c*x^2*(b*h - 2*c*g))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(a^2*d + x^2*(b^2*d + 2*a*c*d) + c^2*d*x^4 + 2*b*c*d*x^3 + 2*a*b*d*x)","B"
19,0,-1,617,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2), x)","F"
20,0,-1,1092,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x + f*x^2),x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x + f*x^2), x)","F"
21,0,-1,416,0.000000,"\text{Not used}","int((A + B*x)/((a + b*x + c*x^2)*(d + e*x + f*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\left(c\,x^2+b\,x+a\right)\,\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int((A + B*x)/((a + b*x + c*x^2)*(d + e*x + f*x^2)^(1/2)), x)","F"
22,0,-1,780,0.000000,"\text{Not used}","int((A + B*x)/((a + c*x^2)*(d + e*x + f*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\left(c\,x^2+a\right)\,\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int((A + B*x)/((a + c*x^2)*(d + e*x + f*x^2)^(1/2)), x)","F"
23,0,-1,302,0.000000,"\text{Not used}","int((A + B*x)/((d + f*x^2)^(1/2)*(a + b*x + c*x^2)),x)","\int \frac{A+B\,x}{\sqrt{f\,x^2+d}\,\left(c\,x^2+b\,x+a\right)} \,d x","Not used",1,"int((A + B*x)/((d + f*x^2)^(1/2)*(a + b*x + c*x^2)), x)","F"
24,0,-1,101,0.000000,"\text{Not used}","int((A + B*x)/((a + c*x^2)*(d + f*x^2)^(1/2)),x)","\left\{\begin{array}{cl} \frac{B\,\mathrm{atan}\left(\frac{c\,\sqrt{f\,x^2+d}}{\sqrt{a\,c\,f-c^2\,d}}\right)}{\sqrt{a\,c\,f-c^2\,d}}+\frac{A\,\mathrm{atan}\left(\frac{x\,\sqrt{c\,d-a\,f}}{\sqrt{a}\,\sqrt{f\,x^2+d}}\right)}{\sqrt{-a\,\left(a\,f-c\,d\right)}} & \text{\ if\ \ }0<c\,d-a\,f\\ \frac{A\,\ln\left(\frac{\sqrt{a\,\left(f\,x^2+d\right)}+x\,\sqrt{a\,f-c\,d}}{\sqrt{a\,\left(f\,x^2+d\right)}-x\,\sqrt{a\,f-c\,d}}\right)}{2\,\sqrt{a\,\left(a\,f-c\,d\right)}}+\frac{B\,\mathrm{atan}\left(\frac{c\,\sqrt{f\,x^2+d}}{\sqrt{a\,c\,f-c^2\,d}}\right)}{\sqrt{a\,c\,f-c^2\,d}} & \text{\ if\ \ }c\,d-a\,f<0\\ \int \frac{A+B\,x}{\left(c\,x^2+a\right)\,\sqrt{f\,x^2+d}} \,d x & \text{\ if\ \ }c\,d-a\,f\notin \mathbb{R}\vee a\,f=c\,d \end{array}\right.","Not used",1,"piecewise(0 < - a*f + c*d, (B*atan((c*(d + f*x^2)^(1/2))/(- c^2*d + a*c*f)^(1/2)))/(- c^2*d + a*c*f)^(1/2) + (A*atan((x*(- a*f + c*d)^(1/2))/(a^(1/2)*(d + f*x^2)^(1/2))))/(-a*(a*f - c*d))^(1/2), - a*f + c*d < 0, (A*log(((a*(d + f*x^2))^(1/2) + x*(a*f - c*d)^(1/2))/((a*(d + f*x^2))^(1/2) - x*(a*f - c*d)^(1/2))))/(2*(a*(a*f - c*d))^(1/2)) + (B*atan((c*(d + f*x^2)^(1/2))/(- c^2*d + a*c*f)^(1/2)))/(- c^2*d + a*c*f)^(1/2), ~in(- a*f + c*d, 'real') | a*f == c*d, int((A + B*x)/((a + c*x^2)*(d + f*x^2)^(1/2)), x))","F"
25,0,-1,139,0.000000,"\text{Not used}","int((x + 2)/((3*x - 2*x^2 + 1)^(1/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{\sqrt{-2\,x^2+3\,x+1}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x - 2*x^2 + 1)^(1/2)*(4*x - 3*x^2 + 2)), x)","F"
26,0,-1,166,0.000000,"\text{Not used}","int((x + 2)/((3*x - 2*x^2 + 1)^(3/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{{\left(-2\,x^2+3\,x+1\right)}^{3/2}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x - 2*x^2 + 1)^(3/2)*(4*x - 3*x^2 + 2)), x)","F"
27,0,-1,193,0.000000,"\text{Not used}","int((x + 2)/((3*x - 2*x^2 + 1)^(5/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{{\left(-2\,x^2+3\,x+1\right)}^{5/2}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x - 2*x^2 + 1)^(5/2)*(4*x - 3*x^2 + 2)), x)","F"
28,0,-1,151,0.000000,"\text{Not used}","int((x + 2)/((3*x + 2*x^2 + 1)^(1/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{\sqrt{2\,x^2+3\,x+1}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x + 2*x^2 + 1)^(1/2)*(4*x - 3*x^2 + 2)), x)","F"
29,0,-1,174,0.000000,"\text{Not used}","int((x + 2)/((3*x + 2*x^2 + 1)^(3/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{{\left(2\,x^2+3\,x+1\right)}^{3/2}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x + 2*x^2 + 1)^(3/2)*(4*x - 3*x^2 + 2)), x)","F"
30,0,-1,197,0.000000,"\text{Not used}","int((x + 2)/((3*x + 2*x^2 + 1)^(5/2)*(4*x - 3*x^2 + 2)),x)","\int \frac{x+2}{{\left(2\,x^2+3\,x+1\right)}^{5/2}\,\left(-3\,x^2+4\,x+2\right)} \,d x","Not used",1,"int((x + 2)/((3*x + 2*x^2 + 1)^(5/2)*(4*x - 3*x^2 + 2)), x)","F"
31,1,13,15,3.762531,"\text{Not used}","int((x + 1)/((2*x + x^2 + 4)*(2*x + x^2 + 5)^(1/2)),x)","-\mathrm{atanh}\left(\sqrt{x^2+2\,x+5}\right)","Not used",1,"-atanh((2*x + x^2 + 5)^(1/2))","B"
32,0,-1,44,0.000000,"\text{Not used}","int((x + 4)/((2*x + x^2 + 4)*(2*x + x^2 + 5)^(1/2)),x)","\int \frac{x+4}{\left(x^2+2\,x+4\right)\,\sqrt{x^2+2\,x+5}} \,d x","Not used",1,"int((x + 4)/((2*x + x^2 + 4)*(2*x + x^2 + 5)^(1/2)), x)","F"
33,1,19,24,3.780930,"\text{Not used}","int((2*x + 1)/((x + x^2 + 3)*(x + x^2 + 5)^(1/2)),x)","-\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^2+x+5}}{2}\right)","Not used",1,"-2^(1/2)*atanh((2^(1/2)*(x + x^2 + 5)^(1/2))/2)","B"
34,0,-1,56,0.000000,"\text{Not used}","int(x/((x + x^2 + 3)*(x + x^2 + 5)^(1/2)),x)","\int \frac{x}{\left(x^2+x+3\right)\,\sqrt{x^2+x+5}} \,d x","Not used",1,"int(x/((x + x^2 + 3)*(x + x^2 + 5)^(1/2)), x)","F"
35,0,-1,249,0.000000,"\text{Not used}","int((A + B*x)/((a*e + b*e*x + b*f*x^2)^2*(d + e*x + f*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(b\,f\,x^2+b\,e\,x+a\,e\right)}^2\,\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int((A + B*x)/((a*e + b*e*x + b*f*x^2)^2*(d + e*x + f*x^2)^(1/2)), x)","F"
36,1,49,48,3.752693,"\text{Not used}","int(((g + h*x)*(a + b*x + c*x^2)^(1/2))/(a*d + b*d*x + c*d*x^2)^2,x)","\frac{4\,a\,h-2\,b\,g+2\,b\,h\,x-4\,c\,g\,x}{\left(b^2\,d^2-4\,a\,c\,d^2\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(4*a*h - 2*b*g + 2*b*h*x - 4*c*g*x)/((b^2*d^2 - 4*a*c*d^2)*(a + b*x + c*x^2)^(1/2))","B"
37,0,-1,17,0.000000,"\text{Not used}","int((2*x + 3)/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{2\,x+3}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int((2*x + 3)/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
38,0,-1,86,0.000000,"\text{Not used}","int((4*x + 3)/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{4\,x+3}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int((4*x + 3)/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
39,0,-1,136,0.000000,"\text{Not used}","int(((g + h*x)*(a + b*x + c*x^2)^(1/2))/(a*d + b*d*x + c*d*x^2)^(3/2),x)","\int \frac{\left(g+h\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(c\,d\,x^2+b\,d\,x+a\,d\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)*(a + b*x + c*x^2)^(1/2))/(a*d + b*d*x + c*d*x^2)^(3/2), x)","F"
40,0,-1,212,0.000000,"\text{Not used}","int(x^2*((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2),x)","\int x^2\,\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c} \,d x","Not used",1,"int(x^2*((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2), x)","F"
41,0,-1,161,0.000000,"\text{Not used}","int(x*((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2),x)","\int x\,\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c} \,d x","Not used",1,"int(x*((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2), x)","F"
42,0,-1,148,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2), x)","F"
43,0,-1,160,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c}}{x} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x, x)","F"
44,0,-1,156,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x^2,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c}}{x^2} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x^2, x)","F"
45,0,-1,161,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x^3,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+c}}{x^3} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + d*x^2)^(1/2))/x^3, x)","F"
46,0,-1,317,0.000000,"\text{Not used}","int(x^2*((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2),x)","\int x^2\,\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c} \,d x","Not used",1,"int(x^2*((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2), x)","F"
47,0,-1,227,0.000000,"\text{Not used}","int(x*((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2),x)","\int x\,\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c} \,d x","Not used",1,"int(x*((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2), x)","F"
48,0,-1,198,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2), x)","F"
49,0,-1,211,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x, x)","F"
50,0,-1,202,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^2,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x^2} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^2, x)","F"
51,0,-1,215,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^3,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x^3} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^3, x)","F"
52,0,-1,452,0.000000,"\text{Not used}","int((x^2*(a + c*x^2)^(1/2))/(d + e*x + f*x^2),x)","\int \frac{x^2\,\sqrt{c\,x^2+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x^2*(a + c*x^2)^(1/2))/(d + e*x + f*x^2), x)","F"
53,0,-1,395,0.000000,"\text{Not used}","int((x*(a + c*x^2)^(1/2))/(d + e*x + f*x^2),x)","\int \frac{x\,\sqrt{c\,x^2+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x*(a + c*x^2)^(1/2))/(d + e*x + f*x^2), x)","F"
54,0,-1,298,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)/(d + e*x + f*x^2),x)","\int \frac{\sqrt{c\,x^2+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((a + c*x^2)^(1/2)/(d + e*x + f*x^2), x)","F"
55,0,-1,358,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)/(x*(d + e*x + f*x^2)),x)","\int \frac{\sqrt{c\,x^2+a}}{x\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(1/2)/(x*(d + e*x + f*x^2)), x)","F"
56,0,-1,382,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)/(x^2*(d + e*x + f*x^2)),x)","\int \frac{\sqrt{c\,x^2+a}}{x^2\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(1/2)/(x^2*(d + e*x + f*x^2)), x)","F"
57,0,-1,507,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)/(x^3*(d + e*x + f*x^2)),x)","\int \frac{\sqrt{c\,x^2+a}}{x^3\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(1/2)/(x^3*(d + e*x + f*x^2)), x)","F"
58,0,-1,795,0.000000,"\text{Not used}","int((x^2*(a + c*x^2)^(3/2))/(d + e*x + f*x^2),x)","\int \frac{x^2\,{\left(c\,x^2+a\right)}^{3/2}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x^2*(a + c*x^2)^(3/2))/(d + e*x + f*x^2), x)","F"
59,0,-1,553,0.000000,"\text{Not used}","int((x*(a + c*x^2)^(3/2))/(d + e*x + f*x^2),x)","\int \frac{x\,{\left(c\,x^2+a\right)}^{3/2}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x*(a + c*x^2)^(3/2))/(d + e*x + f*x^2), x)","F"
60,0,-1,484,0.000000,"\text{Not used}","int((a + c*x^2)^(3/2)/(d + e*x + f*x^2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((a + c*x^2)^(3/2)/(d + e*x + f*x^2), x)","F"
61,0,-1,496,0.000000,"\text{Not used}","int((a + c*x^2)^(3/2)/(x*(d + e*x + f*x^2)),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}}{x\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(3/2)/(x*(d + e*x + f*x^2)), x)","F"
62,0,-1,604,0.000000,"\text{Not used}","int((a + c*x^2)^(3/2)/(x^2*(d + e*x + f*x^2)),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}}{x^2\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(3/2)/(x^2*(d + e*x + f*x^2)), x)","F"
63,0,-1,668,0.000000,"\text{Not used}","int((a + c*x^2)^(3/2)/(x^3*(d + e*x + f*x^2)),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}}{x^3\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + c*x^2)^(3/2)/(x^3*(d + e*x + f*x^2)), x)","F"
64,0,-1,380,0.000000,"\text{Not used}","int(x^3/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x^3}{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^3/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
65,0,-1,344,0.000000,"\text{Not used}","int(x^2/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x^2}{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^2/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
66,0,-1,294,0.000000,"\text{Not used}","int(x/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x}{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
67,0,-1,266,0.000000,"\text{Not used}","int(1/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
68,0,-1,330,0.000000,"\text{Not used}","int(1/(x*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
69,0,-1,367,0.000000,"\text{Not used}","int(1/(x^2*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x^2\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x^2*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
70,0,-1,457,0.000000,"\text{Not used}","int(1/(x^3*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x^3\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x^3*(a + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
71,0,-1,499,0.000000,"\text{Not used}","int(x^3/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x^3}{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^3/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
72,0,-1,410,0.000000,"\text{Not used}","int(x^2/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x^2}{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^2/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
73,0,-1,411,0.000000,"\text{Not used}","int(x/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x}{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
74,0,-1,416,0.000000,"\text{Not used}","int(1/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
75,0,-1,526,0.000000,"\text{Not used}","int(1/(x*(a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x\,{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x*(a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
76,0,-1,618,0.000000,"\text{Not used}","int(1/(x^2*(a + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x^2\,{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x^2*(a + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
77,0,-1,392,0.000000,"\text{Not used}","int((x^3*(a + b*x + c*x^2)^(1/2))/(d - f*x^2),x)","\int \frac{x^3\,\sqrt{c\,x^2+b\,x+a}}{d-f\,x^2} \,d x","Not used",1,"int((x^3*(a + b*x + c*x^2)^(1/2))/(d - f*x^2), x)","F"
78,0,-1,316,0.000000,"\text{Not used}","int((x^2*(a + b*x + c*x^2)^(1/2))/(d - f*x^2),x)","\int \frac{x^2\,\sqrt{c\,x^2+b\,x+a}}{d-f\,x^2} \,d x","Not used",1,"int((x^2*(a + b*x + c*x^2)^(1/2))/(d - f*x^2), x)","F"
79,0,-1,282,0.000000,"\text{Not used}","int((x*(a + b*x + c*x^2)^(1/2))/(d - f*x^2),x)","\int \frac{x\,\sqrt{c\,x^2+b\,x+a}}{d-f\,x^2} \,d x","Not used",1,"int((x*(a + b*x + c*x^2)^(1/2))/(d - f*x^2), x)","F"
80,0,-1,266,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(d - f*x^2),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{d-f\,x^2} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(d - f*x^2), x)","F"
81,0,-1,267,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(x*(d - f*x^2)),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{x\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(x*(d - f*x^2)), x)","F"
82,0,-1,286,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(x^2*(d - f*x^2)),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{x^2\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(x^2*(d - f*x^2)), x)","F"
83,0,-1,353,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(x^3*(d - f*x^2)),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{x^3\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(x^3*(d - f*x^2)), x)","F"
84,0,-1,501,0.000000,"\text{Not used}","int((x^3*(a + b*x + c*x^2)^(3/2))/(d - f*x^2),x)","\int \frac{x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{d-f\,x^2} \,d x","Not used",1,"int((x^3*(a + b*x + c*x^2)^(3/2))/(d - f*x^2), x)","F"
85,0,-1,417,0.000000,"\text{Not used}","int((x^2*(a + b*x + c*x^2)^(3/2))/(d - f*x^2),x)","\int \frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{d-f\,x^2} \,d x","Not used",1,"int((x^2*(a + b*x + c*x^2)^(3/2))/(d - f*x^2), x)","F"
86,0,-1,349,0.000000,"\text{Not used}","int((x*(a + b*x + c*x^2)^(3/2))/(d - f*x^2),x)","\int \frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{d-f\,x^2} \,d x","Not used",1,"int((x*(a + b*x + c*x^2)^(3/2))/(d - f*x^2), x)","F"
87,0,-1,315,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(d - f*x^2),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{d-f\,x^2} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(d - f*x^2), x)","F"
88,0,-1,469,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(x*(d - f*x^2)),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(x*(d - f*x^2)), x)","F"
89,0,-1,463,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(x^2*(d - f*x^2)),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^2\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(x^2*(d - f*x^2)), x)","F"
90,0,-1,614,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(x^3*(d - f*x^2)),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^3\,\left(d-f\,x^2\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(x^3*(d - f*x^2)), x)","F"
91,0,-1,189,0.000000,"\text{Not used}","int(-(a + b*x + c*x^2)^(3/2)/(x^2 - 1),x)","-\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^2-1} \,d x","Not used",1,"-int((a + b*x + c*x^2)^(3/2)/(x^2 - 1), x)","F"
92,0,-1,75,0.000000,"\text{Not used}","int(-(x^2 - x - 1)^(1/2)/(x^2 - 1),x)","-\int \frac{\sqrt{x^2-x-1}}{x^2-1} \,d x","Not used",1,"-int((x^2 - x - 1)^(1/2)/(x^2 - 1), x)","F"
93,0,-1,130,0.000000,"\text{Not used}","int((x + x^2)^(3/2)/(x^2 + 1),x)","\int \frac{{\left(x^2+x\right)}^{3/2}}{x^2+1} \,d x","Not used",1,"int((x + x^2)^(3/2)/(x^2 + 1), x)","F"
94,0,-1,369,0.000000,"\text{Not used}","int(x^4/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{x^4}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(x^4/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
95,0,-1,287,0.000000,"\text{Not used}","int(x^3/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{x^3}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(x^3/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
96,0,-1,266,0.000000,"\text{Not used}","int(x^2/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{x^2}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(x^2/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
97,0,-1,220,0.000000,"\text{Not used}","int(x/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{x}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(x/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
98,0,-1,220,0.000000,"\text{Not used}","int(1/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{1}{\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(1/((d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
99,0,-1,267,0.000000,"\text{Not used}","int(1/(x*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{1}{x\,\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(1/(x*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
100,0,-1,291,0.000000,"\text{Not used}","int(1/(x^2*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{1}{x^2\,\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(1/(x^2*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
101,0,-1,376,0.000000,"\text{Not used}","int(1/(x^3*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{1}{x^3\,\left(d-f\,x^2\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(1/(x^3*(d - f*x^2)*(a + b*x + c*x^2)^(1/2)), x)","F"
102,0,-1,466,0.000000,"\text{Not used}","int(x^4/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{x^4}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(x^4/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
103,0,-1,341,0.000000,"\text{Not used}","int(x^3/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{x^3}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(x^3/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
104,0,-1,297,0.000000,"\text{Not used}","int(x^2/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{x^2}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
105,0,-1,299,0.000000,"\text{Not used}","int(x/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{x}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(x/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
106,0,-1,310,0.000000,"\text{Not used}","int(1/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{1}{\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(1/((d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
107,0,-1,394,0.000000,"\text{Not used}","int(1/(x*(d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{1}{x\,\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
108,0,-1,454,0.000000,"\text{Not used}","int(1/(x^2*(d - f*x^2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,\left(d-f\,x^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(d - f*x^2)*(a + b*x + c*x^2)^(3/2)), x)","F"
109,0,-1,761,0.000000,"\text{Not used}","int((x^2*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2),x)","\int \frac{x^2\,\sqrt{c\,x^2+b\,x+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x^2*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2), x)","F"
110,0,-1,549,0.000000,"\text{Not used}","int((x*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2),x)","\int \frac{x\,\sqrt{c\,x^2+b\,x+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((x*(a + b*x + c*x^2)^(1/2))/(d + e*x + f*x^2), x)","F"
111,0,-1,431,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2), x)","F"
112,0,-1,523,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(x*(d + e*x + f*x^2)),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{x\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(x*(d + e*x + f*x^2)), x)","F"
113,0,-1,736,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(x^2*(d + e*x + f*x^2)),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{x^2\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(x^2*(d + e*x + f*x^2)), x)","F"
114,0,-1,545,0.000000,"\text{Not used}","int(x^3/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x^3}{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^3/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
115,0,-1,463,0.000000,"\text{Not used}","int(x^2/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x^2}{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^2/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
116,0,-1,402,0.000000,"\text{Not used}","int(x/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{x}{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
117,0,-1,374,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
118,0,-1,451,0.000000,"\text{Not used}","int(1/(x*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x\,\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
119,0,-1,543,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x^2\,\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x^2*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
120,0,-1,679,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x^3\,\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x^3*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
121,0,-1,779,0.000000,"\text{Not used}","int(x^3/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x^3}{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^3/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
122,0,-1,609,0.000000,"\text{Not used}","int(x^2/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x^2}{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x^2/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
123,0,-1,609,0.000000,"\text{Not used}","int(x/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{x}{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(x/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
124,0,-1,666,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
125,0,-1,816,0.000000,"\text{Not used}","int(1/(x*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/(x*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
126,0,-1,140,0.000000,"\text{Not used}","int(x^4/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{x^4}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(x^4/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
127,0,-1,115,0.000000,"\text{Not used}","int(x^3/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{x^3}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(x^3/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
128,0,-1,98,0.000000,"\text{Not used}","int(x^2/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{x^2}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(x^2/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
129,0,-1,68,0.000000,"\text{Not used}","int(x/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{x}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(x/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
130,0,-1,95,0.000000,"\text{Not used}","int(1/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{1}{\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(1/((- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
131,0,-1,130,0.000000,"\text{Not used}","int(1/(x*(- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{1}{x\,\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(1/(x*(- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
132,0,-1,151,0.000000,"\text{Not used}","int(1/(x^2*(- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)),x)","\int \frac{1}{x^2\,\sqrt{-x^2-4\,x-3}\,\left(2\,x^2+4\,x+3\right)} \,d x","Not used",1,"int(1/(x^2*(- 4*x - x^2 - 3)^(1/2)*(4*x + 2*x^2 + 3)), x)","F"
133,1,187,149,5.084687,"\text{Not used}","int((3*x + 2)^2*(17*x + 12*x^2 + 6)^(1/2)*(31*x - 12*x^2 + 30)^2,x)","\frac{4267751\,x^2\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{14336}+\frac{14991\,x^3\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{1792}-\frac{8613\,x^4\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{112}+\frac{27\,x^5\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{2}-\frac{146030443\,\sqrt{12}\,\ln\left(\sqrt{12\,x^2+17\,x+6}+\frac{\sqrt{12}\,\left(12\,x+\frac{17}{2}\right)}{12}\right)}{88080384}+\frac{438091329\,\left(\frac{x}{2}+\frac{17}{48}\right)\,\sqrt{12\,x^2+17\,x+6}}{229376}+\frac{2473875847\,\sqrt{12\,x^2+17\,x+6}\,\left(1152\,x^2+408\,x-291\right)}{3170893824}+\frac{129220757\,x\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{458752}+\frac{42055889399\,\sqrt{12}\,\ln\left(2\,\sqrt{12\,x^2+17\,x+6}+\frac{\sqrt{12}\,\left(24\,x+17\right)}{12}\right)}{25367150592}","Not used",1,"(4267751*x^2*(17*x + 12*x^2 + 6)^(3/2))/14336 + (14991*x^3*(17*x + 12*x^2 + 6)^(3/2))/1792 - (8613*x^4*(17*x + 12*x^2 + 6)^(3/2))/112 + (27*x^5*(17*x + 12*x^2 + 6)^(3/2))/2 - (146030443*12^(1/2)*log((17*x + 12*x^2 + 6)^(1/2) + (12^(1/2)*(12*x + 17/2))/12))/88080384 + (438091329*(x/2 + 17/48)*(17*x + 12*x^2 + 6)^(1/2))/229376 + (2473875847*(17*x + 12*x^2 + 6)^(1/2)*(408*x + 1152*x^2 - 291))/3170893824 + (129220757*x*(17*x + 12*x^2 + 6)^(3/2))/458752 + (42055889399*12^(1/2)*log(2*(17*x + 12*x^2 + 6)^(1/2) + (12^(1/2)*(24*x + 17))/12))/25367150592","B"
134,1,136,103,4.690169,"\text{Not used}","int((3*x + 2)*(17*x + 12*x^2 + 6)^(1/2)*(31*x - 12*x^2 + 30),x)","\frac{3753\,\left(\frac{x}{2}+\frac{17}{48}\right)\,\sqrt{12\,x^2+17\,x+6}}{80}-\frac{417\,\sqrt{12}\,\ln\left(\sqrt{12\,x^2+17\,x+6}+\frac{\sqrt{12}\,\left(12\,x+\frac{17}{2}\right)}{12}\right)}{10240}-\frac{3\,x^2\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{5}+\frac{7093\,\sqrt{12\,x^2+17\,x+6}\,\left(1152\,x^2+408\,x-291\right)}{368640}+\frac{349\,x\,{\left(12\,x^2+17\,x+6\right)}^{3/2}}{160}+\frac{120581\,\sqrt{12}\,\ln\left(2\,\sqrt{12\,x^2+17\,x+6}+\frac{\sqrt{12}\,\left(24\,x+17\right)}{12}\right)}{2949120}","Not used",1,"(3753*(x/2 + 17/48)*(17*x + 12*x^2 + 6)^(1/2))/80 - (417*12^(1/2)*log((17*x + 12*x^2 + 6)^(1/2) + (12^(1/2)*(12*x + 17/2))/12))/10240 - (3*x^2*(17*x + 12*x^2 + 6)^(3/2))/5 + (7093*(17*x + 12*x^2 + 6)^(1/2)*(408*x + 1152*x^2 - 291))/368640 + (349*x*(17*x + 12*x^2 + 6)^(3/2))/160 + (120581*12^(1/2)*log(2*(17*x + 12*x^2 + 6)^(1/2) + (12^(1/2)*(24*x + 17))/12))/2949120","B"
135,0,-1,28,0.000000,"\text{Not used}","int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)*(31*x - 12*x^2 + 30)),x)","\int \frac{\sqrt{12\,x^2+17\,x+6}}{\left(3\,x+2\right)\,\left(-12\,x^2+31\,x+30\right)} \,d x","Not used",1,"int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)*(31*x - 12*x^2 + 30)), x)","F"
136,0,-1,84,0.000000,"\text{Not used}","int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)^2*(31*x - 12*x^2 + 30)^2),x)","\int \frac{\sqrt{12\,x^2+17\,x+6}}{{\left(3\,x+2\right)}^2\,{\left(-12\,x^2+31\,x+30\right)}^2} \,d x","Not used",1,"int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)^2*(31*x - 12*x^2 + 30)^2), x)","F"
137,0,-1,139,0.000000,"\text{Not used}","int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)^3*(31*x - 12*x^2 + 30)^3),x)","\int \frac{\sqrt{12\,x^2+17\,x+6}}{{\left(3\,x+2\right)}^3\,{\left(-12\,x^2+31\,x+30\right)}^3} \,d x","Not used",1,"int((17*x + 12*x^2 + 6)^(1/2)/((3*x + 2)^3*(31*x - 12*x^2 + 30)^3), x)","F"
138,1,15,15,3.723044,"\text{Not used}","int((2*x - 3)*(x^2 - 3*x)^(2/3),x)","\frac{3\,x\,{\left(x^2-3\,x\right)}^{2/3}\,\left(x-3\right)}{5}","Not used",1,"(3*x*(x^2 - 3*x)^(2/3)*(x - 3))/5","B"
139,1,13,16,3.663952,"\text{Not used}","int((2*x - 3)*(x*(x - 3))^(2/3),x)","\frac{3\,x\,{\left(x\,\left(x-3\right)\right)}^{2/3}\,\left(x-3\right)}{5}","Not used",1,"(3*x*(x*(x - 3))^(2/3)*(x - 3))/5","B"
140,1,15,15,3.675282,"\text{Not used}","int((x*(2*x^2 - 9*x + 9))/(x^2 - 3*x)^(1/3),x)","\frac{3\,x\,{\left(x^2-3\,x\right)}^{2/3}\,\left(x-3\right)}{5}","Not used",1,"(3*x*(x^2 - 3*x)^(2/3)*(x - 3))/5","B"
141,1,13,15,3.607106,"\text{Not used}","int((x*(2*x^2 - 9*x + 9))/(x*(x - 3))^(1/3),x)","\frac{3\,x\,{\left(x\,\left(x-3\right)\right)}^{2/3}\,\left(x-3\right)}{5}","Not used",1,"(3*x*(x*(x - 3))^(2/3)*(x - 3))/5","B"
142,0,-1,242,0.000000,"\text{Not used}","int((g + h*x)/((g^2 + 3*h^2*x^2)*(9*c*x^2 - (c*g^2)/h^2)^(1/3)),x)","\int \frac{g+h\,x}{\left(g^2+3\,h^2\,x^2\right)\,{\left(9\,c\,x^2-\frac{c\,g^2}{h^2}\right)}^{1/3}} \,d x","Not used",1,"int((g + h*x)/((g^2 + 3*h^2*x^2)*(9*c*x^2 - (c*g^2)/h^2)^(1/3)), x)","F"
143,0,-1,488,0.000000,"\text{Not used}","int((g + h*x)/((b*x + c*x^2 + ((2*b^2*h^2)/9 - (c^2*g^2)/9 + (b*c*g*h)/9)/(c*h^2))^(1/3)*(f*x^2 - (f*(((2*b^2*h^2)/3 - (c^2*g^2)/3 + (b*c*g*h)/3)/h^2 - b^2))/c^2 + (b*f*x)/c)),x)","\int \frac{g+h\,x}{{\left(b\,x+c\,x^2+\frac{\frac{2\,b^2\,h^2}{9}+\frac{b\,c\,g\,h}{9}-\frac{c^2\,g^2}{9}}{c\,h^2}\right)}^{1/3}\,\left(f\,x^2-\frac{f\,\left(\frac{\frac{2\,b^2\,h^2}{3}+\frac{b\,c\,g\,h}{3}-\frac{c^2\,g^2}{3}}{h^2}-b^2\right)}{c^2}+\frac{b\,f\,x}{c}\right)} \,d x","Not used",1,"int((g + h*x)/((b*x + c*x^2 + ((2*b^2*h^2)/9 - (c^2*g^2)/9 + (b*c*g*h)/9)/(c*h^2))^(1/3)*(f*x^2 - (f*(((2*b^2*h^2)/3 - (c^2*g^2)/3 + (b*c*g*h)/3)/h^2 - b^2))/c^2 + (b*f*x)/c)), x)","F"